A pilot comparison on calibration of fiber optic power meter Ferhat Sametoglu1, Toomas Kubarsepp2 Pedro Corredera3

1TUBITAK UME, Gebze, Turkey, 2AS Metrosert, Tallinn, Estonia, 3IO-CSIC, Madrid, Spain,

Corresponding e-mail address: [email protected]

A pilot comparison on the calibration of a fiber optic power meter has been carried out between TUBITAK UME, IO-CSIC and AS Metrosert, within the EURAMET project “Supporting smart specialization and stakeholder linkage in Photometry and Radiometry (20SCP01 Smart PhoRA). The agreed wavelengths and power levels for comparison were 1310 nm and 1550 nm and 0 dBm (1 mW) and -23 dBm (5 μW), respectively. TUBITAK UME piloted the comparison and its power meter was used as the comparison artefact. This contribution describes the methodology used in the comparison, the traceability and uncertainties of each of the laboratories involved and the analysis of the results.

INTRODUCTION

In 2020, European Metrology Programme for Innovation and Research (EMPIR) Project, Smart PhoRa “Supporting smart specialization and stakeholder linkage in Photometry and Radiometry” was started. Work package 3 (WP3) of this project is focused on metrology for fibre optics. In this WP3, Eesti Metroloogia Keskasutus (the NMI of Estonia AS Metrosert) is work jointly with the DI of Spain (IO-CSIC) and NMI of Turkey (TUBITAK UME) to provide metrology for smart specialization in fibre optics [1]. The aim of this WP3 is to develop the expertise of NMIs/DIs in Estonia and Turkey to enable them to fulfil the needs of their regional industry in the field of fibre optics in the sense of a smart specialisation.

One of the activities of WP3 was to organise a pilot study in spectral responsivity of fibre optics detector between the tree laboratories. A commercial fiber optic power meter device owned by TUBITAK UME was circulated between the laboratories.

COMPARISON ARTEFACT

The comparison artefact was HP 8153A Lightwave Multimeter having HP 81532A model of power sensor (Fig. 1).

Figure 1. Comparison artefact

Power sensor includes a InGaAs sensor element with 5 mm in diameter which covers the range from 800 nm to 1700 nm in a power range from +3 dBm to -110 dBm. The instrument has FC-adaptor in order to connect FC/PC fiber optic patchcord.

MEASUREMENTS

The measurand was the calibration factor of the optical power over a FC/PC connector. The calibration of the device at each the laboratory was performed at nominal laser wavelengths of 1310 nm and 1550 nm. The corrections in dB at each wavelength were determined using the following equation: (1) where Pc is the determined calibration factor, Pref is the reference optical power measured using the reference device by each the laboratory and PDUT is the optical power measured by the artefact.

At TUBITAK UME, Pref was measured using a FC-adaptored InGaAs-detector, which is traceable to optical power scale of PTB [2]. The best expanded uncertainty (k = 2) with this realization is ±2.2 % (± 0.098 dB). IO-CSIC uses as reference an electrically calibrated pyroelectric radiometer (ECPR RS-5900) traceable to the optical power scale of the IO-CSIC, with a best expanded uncertainty (k = 2) is ±1.0 % (±0.043 dB) [4, 5]. On the other hand, AS Metrosert uses a transmission trap radiometer, consisting of two InGaAs photodiodes in polarisation independent configuration [6], traceable to the Aalto University optical power scale (the best expanded uncertainty (k = 2) is ±5.0 % (±0.20 dB).

The laser sources used in the comparison are the ones used by each laboratory in their regular protocols. TUBITAK UME used two DFB laser sources with central wavelengths of 1310.0 nm and 1549.9 nm, IO-CSIC used two tunable lasers at 1310.0 nm and 1550.0 nm, while AS Metrosert used two Fabry-Perot lasers with central wavelengths of 1309.2 nm and 1545.5 nm, with 6 and 8 longitudinal modes respectively.

RESULTS & DISCUSION

The results of the comparison are shown in Table 1 and Fig. 2.

Table 1. Correction factor and uncertainty obtained by each laboratory.

Lab. λ (nm) Power level

(dBm)

Correction (dB)

Uncertainty (dB (k = 2))

T U

B IT

A K

U

M E

1310.00 0.035 0.098 1310.0 -23 0.012 0.098 1549.9 0 -0.048 0.097 1549.9 -23 -0.045 0.097

IO -C

S IC

1310.0 0 -0.029 0.043 1310.0 -23 -0.041 0.043 1550.0 0 -0.006 0.043 1550.0 -23 0.007 0.043

A S

M

et ro

se rt

1309.2 0 0.15 0.20 1309.2 -23 -0.01 0.28 1545.5 0 0.07 0.20 1545.5 -23 -0.07 0.29

Figure 2. Result of the comparison, in green the average correction weighted by the uncertainty of the laboratories.

The results of the comparison are compatible as shown in Table 2, where the values of IO-CSIC have been taken as a reference because it is the laboratory that has an approved CMC.

Table 2. Calculated En values.

λ / nm Power level

/ dBm CSIC/TUBITAK

UME CSIC/AS Metrosert

1310.0 0,0 0,60 -0,88

1310.0 -23,0 0,49 -0,11

1549.9 0,0 -0,40 -0,37

1549.9 -23,0 -0,49 0,26

CONCLUSION

A pilot comparison on the calibration of fiber optic power meter between three metrology institutes (TUBITAK UME, IO-CSIC and AS Metrosert) is performed within the described European project study. In the comparison, TUBITAK UME was the pilot laboratory, IO-CSIC and AS Metrosert were participating laboratories. Comparison measurements have been completed and are under evaluation. Therefore, results obtained at agreed wavelengths and optical power levels including measurement uncertainties will be presented at the conference.

ACKNOWLEDGEMENTS

This project 20SCP01 SmartPhoRa has received funding from the EMPIR programme co-financed by the Participating States and from the European Union’s Horizon 2020 research and innovation programme.

REFERENCES

1.https://www.euramet.org/research-innovation/search- research-projects/details/project/supporting-smart- specialisation-and-stakeholder-linkage-in-photometry- and-radiometry

2. O. Celikel et al. Cryogenic radiometer based absolute spectral power responsivity calibration of integrating sphere radiometer to be used in power measurements at optical fiber communication wavelengths, Optical and Quantum Electronics, 37(6), 529 - 543, 2005.

3. O. Bazkir et al. Realization of relative responsivity scale with the elctrically calibrated pyroelectric radiometer, Optics & Laser Technology, 39(1), 189-195, 2007.

4. P Corredera et al. Comparison between absolute thermal radiometers at wavelengths of 1300 nm and 1550 nm, Metrologia, 37, 543-546, 2000.

5. P Corredera et al. Absolute power measurements at wavelengths of 1300 nm and 1550 nm with a cryogenic radiometer and a tuneable laser diode. Metrologia, 37, 519-522, 2000.

6. A. Vaigu et al, Compact two-element transmission trap detector for 1550 nm wavelength, Meas. Sci. Technol., 26, 1-6, 2015.

Pilot Comparison

on the fiber optic power responsivity between TUBITAK UME, IO-CSIC and AS Metrosert

Activity A3.1.4 Final Report

23 March 2023

This document was prepared by:

Ferhat Sametoglu (1) Toomas Kubarsepp (2) Pedro Corredera (3)

(1) TUBITAK UME, Gebze, Kocaeli, Turkey

(2) AS Metrosert, Tallinn, Estonia

(3) IO-CSIC, Madrid, Spain

Abstract

A pilot comparison on the calibration of a fiber optic power meter has been carried out between TUBITAK UME, IO-CSIC and AS Metrosert, within the EURAMET project “Supporting smart specialization and stakeholder linkage in Photometry and Radiometry”. The agreed wavelengths and power levels for comparison were 1310 nm and 1550 nm and 0 dBm (1 mW) and -23 dBm (5 μW), respectively. TUBITAK UME piloted the comparison and its power meter was used as the comparison artefact. 1. Introduction In 2020, European Metrology Programme for Innovation and Research (EMPIR) Project, Smart PhoRa “Supporting smart specialization and stakeholder linkage in Photometry and Radiometry” was started. Work package 3 (WP3) of this project is focused on metrology for fibre optics. In WP3, AS Metrosert (the NMI of Estonia) ,the DI of Spain (IO-CSIC) and NMI of Turkey (TUBITAK UME) work jointly to provide metrology for smart specialization in fibre optics [1]. The aim of this WP3 is to develop the expertise of NMIs/DIs in Estonia and Turkey to enable them to fulfil the needs of their regional industry in the field of fibre optics in the sense of a smart specialisation.

One of the activities of WP3 was to organise a pilot study in spectral responsivity of fibre optics detector between the tree laboratories. A commercial fiber optic power meter device owned by TUBITAK UME was circulated between the laboratories.

2. Participants The pilot of the comparison is National Metrology Institute of Türkiye (TÜBITAK UME, Türkiye). Participants of the comparison are Instituto de Optica 'Daza de Valdés' (IO- CSIC, Spain) and Central Office of Metrology (AS METROSERT, Estonia).

3. Comparison artefact The comparison artefact was HP 8153A Lightwave Multimeter having HP 81532A model of power sensor (Fig. 1).

Figure 1. Comparison artefact

The optical sensor inside the HP power meter is an InGaAs-based sensor element. According to technical specification, the sensor size is 5 mm in diameter and covers the range from 800 nm to 1700 nm in a power range from +3 dBm to -110 dBm (the IO-CSIC checked the instrument and the internal sensor, probably has a 1 mm diameter or smaller and has a temperature control probably with two stages TE cooler

to achieve a very low noise (-110 dBm)). The sensor is connected by an optical fiber (with lens in the input) and the instrument has FC-adaptor. The optical input of the connector is covered with a special cover to protect it from dust and unnecessary particles. The device has a permanent identifying serial number (2946 G07109) on the back of the instrument. Only parameter of correct wavelength should be changed by using key “Param” on the front panel of the device. Minimum warm-up time of the device is 15 minutes.

The correct on n dB for the compar son should be calculated by us ng the follow ng equat on:

= − (1)

where Pref (dBm) refer to the optical power measured by the reference meter of the participant and Ptest (dBm) refer to the optical power measured by the comparison artefact.

4. Protocol of the comparison TUBITAK UME prepared a draft comparison protocol on October 6, 2022 and sent it to the participants for their evaluation. After several suggestions, the final protocol was formed in line with the comments received on December 6, 2022. The TUBITAK UME calibrated the power meter first at the agreed wavelengths and power levels and then sent it to the IO-CSIC. The IO-CSIC calibrated the power meter and performed additional measurement on the linearity of the instrument at 1550 nm in order to be sure of possible differences between the measurements. After that IO-CSIC sent the device to the AS Metrosert. The AS Metrosert calibrated the power meter and sent it to the TUBITAK UME for final measurement at TUBITAK UME. The TUBITAK UME recalibrated the power meter to check the drift during the comparison period. After this process, the participating laboratories prepared a report containing the measurement setup, measurement results and uncertainty budget and sent it to the pilot laboratory. At the TUBITAK UME the measurement were done over the period 1 December 2022 – 6 December 2022 (first round) and over the period 13 February 2023 – 14 February 2023 (second round). At the IO-CSIC the measurements were done over the period 13 December 2022 - 27 December 2022. At the AS Metrosert the measurements were done over the period 2 January 2022 - 17 January 2023. 5. Comparison measurements and results 5.1. TUBITAK UME Measurements 5.1.1 Laboratory conditions

The TUBITAK UME uses a central automation system for the control of ambient conditions and a calibrated relative humidity and temperature meter manufactured by TUBITAK UME (M/N: ESL1012V2, S/N: 084) was used to measure the related

parameters. The temperature and relative humidity in the calibration area have been maintained at (23 ± 2) ºC and (45 ± 10) %rh, respectively.

5.1.2 Traceability

The TUBITAK UME uses an InGaAs detector manufactured by NPL (M/N: InGaAs and S/N: TKIG1) as a reference in optical power measurements, which has a InGaAs photodiode with a 5 mm diameter active area and mounted in a window-less can which is itself mounted in a 35 mm diameter cylindrical detector housing. The generated photocurrent at the output of the detector is converted to voltage by using a calibrated transimpedance amplifier manufactured by VINCULUM (M/N: SP042 and S/N: SP042- 01-007) and a calibrated high-precision digital multimeter manufctured by Agilent (M/N: 3458A and S/N: US28029775) is used to measure voltage. The spectral responsivity of the reference detector is traceable to the PTB, whereas the transimpedance amplifier and the digital multimeter are traceable to the TUBITAK UME.

The wavelength measurements of the lasers were carried out using an optical spectrum analyser (OSA) manufactured by Anritsu (M/N: MS9740A and S/N: 6260878459) which has an acetylene calibration cell as an internal calibration standard that recalibrates the equipment as programmed. The TUBITAK UME does not have a calibration service on this subject. Therefore for verification purposes, the wavelength measurement performance of the device was checked at 1064 nm in the Time and Frequency Laboratory of the TUBITAK UME. 5.1.3 Measurement facility and the calibration procedure

The comparison artifact was calibrated using the measurement setup showing in the Figure 2.

Figure 2. Photograph showing the calibration setup of TUBITAK UME DFB laser sources manufactured by Agilent (M/N: 8163B and S/N: DE42100688) with two laser modules at 1310 nm and 1550 nm (M/N: 81663A) were used as sources in the calibration. After the measurements were completed with the first laser (1310 nm), the other laser (1550 nm) was used. Output of the laser source used was connected to an optical attenuator manufactured by Agilent (M/N: 8156A and S/N: 3328 G 02645)

using the first FC/PC patchcord and output from optical attenuator connected to the reference detector using the second FC/PC patchcord. All tips of patchcords have been carefully cleaned before connection. After stabilization period of all electronic devices, the power level of 1 mW (0 dBm) was aligned by using the reference system by using the obtained voltage, gain of the transimpedance amplifier and the spectral responsivity of the reference detector in unit of mW and then mathematically converted to the unit of dBm. During voltage measurement, both the number of reading and the number of power line cycles of the digital multimeter were set to 50. The measurements repeated 10 times. After this process, the fiber optic patchcord was disconnected from the reference detector and connected to the calibrated device and 10 measurements were made. The same measurements were repeated for the second agreed power level, 0,005 mW (-23 dBm).

The same operations were performed for the wavelength of 1550 nm.

Table 1 gives the summary of results and uncertainties.

Table 1. Calibration results and uncertainties of TUBITAK UME

Wavelength (nm)

Optical power

Reference (dBm)

Optical power DUT

(dBm) Correction

(dB) Uncertainty

k = 2

1310.0 nm 0,002 -0,033 0,035 0,098 1310.0 nm -23,01 -23,02 0,012 0,098 1549.9 nm 0,018 0,066 -0,048 0,097 1549.9 nm -23,00 -22,96 -0,045 0,097

Figures 3 shows the results of the lasers measured by OSA.

Figures 3. Measurement results of the laser sources with a wavelength of 1310 nm (left side) and 1550 nm (right side).

5.1.4 Uncertainty budget The calibration uncertainty at agreed wavelengths and power levels are given in Table 1 and detailed uncertainty budgets at 1310 nm and 1550 nm wavelengths are shown from Table 2 to Table 5.

Table 2. Uncertainty budget at 1310 nm wavelength and 0 dBm power level

# Quantity, Xi

Estimate, xi

standard uncertainty,

u(xi)

sensitivity coefficient,

ci

uncertainty contribution,

ui(y) Reference power measurement

1 Measured voltage 10,25782 V 0,00229 V 9,76·10-5 W/V 5,01·10-14 W2 2 Calibration factor of DMM 0,001162 V 0,000020 V -9,76·10-5 W/V 3,81·10-18 W2 3 Transimpedance gain 10001 V/A 0,5 V/A -1,00·10-14

(A*W2)/V 2,50·10-15 W2

4 Spectral responsivity of detector

1,025 A/W 0,010 A/W -9,76·10-4 W2/A

1,00·10-10 W2

5 Annual drift of the detector responsivity

0 0,001 A/W 9,76·10-4 W2/A 9,53·10-13 W2

6 Laser stability 0 0,003 1,00·10-3 W 7,85·10-12 W2 7 Connection repeatability 0 0,004 1,00·10-3 W 1,85·10-11 W2

Measured reference power 1,00 mW k = 1 0,011 mW k = 2 0,023 mW

1 Measured reference power 0,002 dBm 0,049 dBm 1 dBm 2,38·10-3 dB2

2 Measured power (artefact) -0,033 dBm 0,003 dBm -1 dBm 8,55·10-6 dB2

Calculated correction (Eq.1) 0,035 dB k = 1 0,049 dB

k = 2 0,098 dB Table 3. Uncertainty budget at 1310 nm wavelength and -23 dBm power level

# Quantity, Xi

Estimate, xi

standard uncertainty,

u(xi)

sensitivity coefficient,

ci

uncertainty contribution,

ui(y) Reference power measurement

1 Measured voltage 0,512404 V

6,20·10-5 V

9,76·10-6 W/V 3,66·10-19 W2

2 Calibration factor of DMM 0,0001690 V 1,00·10-6 V -9,76·10-6 W/V 9,52·10-23 W2 3 Transimpedance gain 99974 V/A 5,0 V/A -5,00·10-11

(A*W2)/V 6,25·10-20 W2

4 Spectral responsivity of detector

1,025 A/W 0,010 A/W -4,88·10-6 W2/A

2,50·10-15 W2

5 Annual drift of the detector responsivity

0 0,001 A/W 4,88·10-6 W2/A 2,38·10-17 W2

6 Laser stability 0 0,003 5,00·10-6 W 2,56·10-16 W2 7 Connection repeatability 0 0,004 5,00·10-6 W 4,00·10-16 W2

Measured reference power 0,005 mW k = 1 0,000056 mW k = 2 0,00011 mW

1 Measured reference power -23,011 dBm 0,049 dBm 1 dBm 2,37·10-3 dB2

2 Measured power (artefact) -23,023 dBm 0,003 dBm -1 dBm 7,61·10-6 dB2

Calculated correction (Eq.1) 0,012 dB k = 1 0,049 dB

k = 2 0,098 dB

Table 4. Uncertainty budget at 1550 nm wavelength and 0 dBm power level

# Quantity, Xi

Estimate, xi

standard uncertainty,

u(xi)

sensitivity coefficient,

ci

uncertainty contribution,

ui(y) Reference power measurement

1 Measured voltage 11,3387 V 0,00104 V 8,86·10-5 W/V 8,40·10-15 W2 2 Calibration factor of DMM 0,001162 V 0,000020 V -8,86·10-5 W/V 3,14·10-18 W2 3 Transimpedance gain 10001 V/A 0,5 V/A -1,00·10-7

(A*W2)/V 2,52·10-15 W2

4 Spectral responsivity of detector

1,129 A/W 0,011 A/W -8,89·10-4 W2/A

1,01·10-10 W2

5 Annual drift of the detector responsivity

0 A/W 0,001 A/W 8,89·10-4 W2/A 7,91·10-13 W2

6 Laser stability 0 0,003 1,00·10-3 W 9,07·10-12 W2 7 Connection repeatability 0 0,004 1,00·10-3 W 1,16·10-11 W2

Measured reference power 1,00 mW k = 1 0,011 mW k = 2 0,023 mW

1 Measured reference power 0,018 dBm 0,049 dBm 1 dBm 2,37·10-3 dB2

2 Measured power (artefact) 0,066 dBm 0,003 dBm -1 dBm 8,55·10-6 dB2

Calculated correction (Eq.1) -0,048 dB k = 1 0,049 dB

k = 2 0,097 dB Table 5. Uncertainty budget at 1550 nm wavelength and -23 dBm power level

# Quantity, Xi

Estimate, xi

standard uncertainty,

u(xi)

sensitivity coefficient,

ci

uncertainty contribution,

ui(y) Reference power measurement

1 Measured voltage 0,565728 V 3,31·10-5 V

8,86·10-6 W/V 8,58·10-20 W2

2 Calibration factor of DMM 0,0001690 V 1,00·10-6 V -8,86·10-6 W/V 7,85·10-23 W2 3 Transimpedance gain 99974 V/A 5,0 V/A -5,01·10-11

(A*W2)/V 6,28·10-20 W2

4 Spectral responsivity of detector

1,129 A/W 0,011 A/W -4,44·10-6 W2/A

2,51·10-15 W2

5 Annual drift of the detector responsivity

0 A/W 0,001 A/W 4,44·10-6 W2/A 1,97·10-17 W2

6 Laser stability 0 0,003 5,01·10-6 W 2,26·10-16 W2 7 Connection repeatability 0 0,004 5,01·10-6 W 4,02·10-16 W2

Measured reference power 0,005 mW k = 1 0,000056 mW k = 2 0,00011 mW

1 Measured reference power -23,001 dBm 0,048 dBm 1 dBm 2,35·10-3 dB2

2 Measured power (artefact) -22,956 dBm 0,003 dBm -1 dBm 7,61·10-6 dB2

Calculated correction (Eq.1) -0,045 dB k = 1 0,049 dB

k = 2 0,097 dB

5.2. IO-CSIC Measurements 5.2.1. Laboratory conditions

A calibrated thermo-hygrometer (DELTA OHM (M/N: HD2101-1R and S/N: 13038962) with a temperature & relative humidity sensor (Sicram (M/N: RH-Pt100 and S/N: 13042304) was used for temperature measurements. The temperature and relative humidity in the calibration area has been maintained at (23 ± 2) ºC and (25 ± 5) %rh, respectively

5.2.2. Traceability

An electrically calibrated pyroelectric radiometer (ECPR) was used as a reference radiometer in the measurements. The ECPR is manufactured by LASER PROBE (M/N: Rs-5900/RsP-590 and S/N: 045-121-003) and use a chopper in the normal operation (M/N: CtX-515 and S/N: 041-133-002/041-002-001). The ECPR is traceable to the standard cryogenic radiometer of the IO-CSIC and the Si trap detectors at the wavelength of 633 nm. The responsivity value of the radiometer at this wavelength and the corrections for IR wavelengths due to the change in absorbance of the black coating of the radiometer are taken into account in its IR responsivity used in this report. The recognized uncertainty in CMC for optical fiber power meters of IO-CSIC is ± 1 % (± 0,043 dB) [2, 3].

Wavelength measurements of the lasers used were carried out by using an interferometric wavelength meter manufactured by EXFO (M/N: WA-1650 and S/N: 352391). The recognized uncertainty in CMC is 3 pm.

5.2.3. Measurement facility and the calibration procedure

The calibration of the calibration artefact was done directly by comparison with the ECPR in the setup shown in the Figure 4.

Figure 4. The calibration setup of the IO-CSIC

The whole assembly is made on single mode 10/125 µm optical fiber (SMF-28), the collimators allow the light to be taken out of the fiber to make it possible to use the ECPR chopper. The connectors used on the ECPR and the PM test are FC-PC. By modifying the collimation, optical power levels at each wavelength were selected to the required values of 0 dBm and -23 dBm, respectively.

The lasers used for the calibration are two tunable lasers manufactured by EXFO Tunincs XS (M/N: 3642 HE-1300 and S/N 1010262) for 1310 nm, and EXFO (M/N: T100S-HP-CLU+EWT and S/N: EO19440032) for 1550 nm. The spectra of the lasers used for the calibration are shown in the Figure 5.

Figure 5. The spectra of the lasers used for the calibration.

The measurements were performed after careful cleaning of the fiber optic connectors and selection of the desired power levels at each wavelength. Before starting the measurements, the wavelength was selected in the calibration artefact (PM Test) and the equipment was zeroing as well as the ECPR. The measurements were taken after

10 connections and disconnections of the fiber optic connector alternately between the ECPR and the calibrated artefact. Between measurements, the movement of the chopper was stopped and waited to ensure that it did not interrupt the optical path. The calibration results are given in Table 6.

Table 6. Summary of calibration results of the IO-CSIC

Wavelength Uncertainty

k = 2

Optical Power

Optical Power

Correcti on

Uncertainty

k = 2 FC

Uncertainty k = 2

λ/nm λ/nm Pref/dBm Pref/mW dB dB

1310,0000 0,0030 0,06 1,014 -0,029 0,043 0,9934 0,0099

1310,0000 0,0030 -23,00 0,005 -0,041 0,043 0,9907 0,0099

1550,0060 0,0030 0,05 1,012 -0,006 0,043 0,999 0,010

1550,0060 0,0030 -22,95 0,005 0,007 0,043 1,002 0,010

FC is calculated using the following equation:

)(

)(

TEST

ref

mWP

mWP FC = (2)

Additional measurement on the linearity of the power meter between +3 dBm and -24 dBm levels has been performed by the stimulus additive method at 1550 nm wavelength [4,5]. The results are shown in the Table 7 and Figure 6.

Table 7. Linearity measurement results

Optical Power

Optical Power NL Uncertainty NL Uncertainty

(dBm) (W) (dB) (dB) (k = 2) (k = 2) 3,04 2,016·10-3 0,0482 0,0020 1,0112 0,0005 -0,01 9,975·10-4 0,0000 0,0020 1,0000 0,0005 -3,02 4,988·10-4 0,0003 0,0020 1,0001 0,0005 -6,02 2,498·10-4 0,0006 0,0028 1,0001 0,0007 -9,04 1,248·10-4 0,0019 0,0035 1,0004 0,0008 -12,04 6,255·10-5 0,0022 0,0040 1,0005 0,0009 -15,05 3,125·10-5 0,0035 0,0045 1,0008 0,0010 -18,05 1,566·10-5 0,0033 0,0049 1,0008 0,0011 -21,06 7,836·10-5 0,0041 0,0053 1,0010 0,0012 -24,06 3,931·10-5 0,0054 0,0057 1,0013 0,0013

Between +3 dBm and 0 dBm it shows a non-linearity jump of 1%, probably due to a change in the analogue-to-digital converter, although the PM test shows a good linearity between the values of 0 dBm and -23 dBm with a cumulative non-linearity of less than 1.0013 ± 0.0013 on

the calibration factor and (0.0054 ± 0.0057) dB on the correction. In any cases this non-linearity correction factor are smaller than the uncertainty of the absolute correction factor.

Figure 6. Linearity of the comparison artifact at 1550 nm wavelength.

5.2.4. Uncertainty budget The calibration uncertainty at agreed wavelengths and power levels are given in Table 6 and detailed uncertainty budgets at 1310 nm and 1550 nm wavelengths are shown from Table 8 to Table 11. Table 8. Uncertainty budget at 1310 nm wavelength and 0 dBm power level

-0.010

0.000

0.010

0.020

0.030

0.040

0.050

0.060

-30 -20 -10 0 10

N on

-li ne

ar yt

y (d

B )

Optical Power (dBm)

DETAILED UNCERTAINTIES

Magnitude Symbol Value Standard

uncertainty Type of

assessment Degrees of

freedom Sensitivity coefficient

Contribution to

uncertainty X x u(x) n c u(y)

Standard reading P S ( λ ) 1,0151E-03 6,11E-07 A 9 979 5,979E-04

Standard resolution δ P S ( λ ) 0,0000 2,89E-07 B 100 979 2,825E-04

Responsivity K S ( λ ) 0,9988 3,78E-03 B 100 1 3,764E-03

Drift of standard δ K S ( λ ) 0,0000 1,15E-03 B 100 1 1,147E-03

Test reading P X ( λ ) 1,0231E-03 6,16E-07 A 9 971 5,979E-04

Test resolution δ P X ( λ ) 0,0000 2,89E-07 B 100 971 2,803E-04

Calibration Factor K X ( λ ) 0,9934 n ef 5,000E+05 3,990E-03 k= 2,0000

Calibration Factor (k=2) K X ( λ ) 0,9934 0,0080

Calibration Factor (CMC) K X ( λ ) 0,9934 0,0099

Table 9. Uncertainty budget at 1310 nm wavelength and -23 dBm power level

Table 10. Uncertainty budget at 1550 nm wavelength and 0 dBm power level

Magnitude Symbol Value Standard

uncertainty Type of

assessment Degrees of

freedom Sensitivity coefficient

Contribution to

uncertainty X x u(x) n c u(y)

Standard reading P S ( λ ) 5,0260E-06 9,80E-09 A 9 197113 1,931E-03

Standard resolution δ P S ( λ ) 0,0000 2,89E-09 B 100 197113 5,690E-04

Responsivity K S ( λ ) 0,9988 3,78E-03 B 100 1 3,754E-03

Drift of standard δ K S ( λ ) 0,0000 1,15E-03 B 100 1 1,144E-03

Test reading P X ( λ ) 5,0795E-06 9,90E-09 A 9 195036 1,931E-03

Test resolution δ P X ( λ ) 0,0000 2,89E-09 B 100 195036 5,630E-04

Calibration Factor K X ( λ ) 0,9907 n ef 5,000E+05 4,410E-03 k= 2,0000

Calibration Factor (k=2) K X ( λ ) 0,9907 0,0088

Calibration Factor (CMC) K X ( λ ) 0,9907 0,0099

DETAILED UNCERTAINTIES

Magnitude Symbol Value Standard

uncertainty Type of

assessment Degrees of

freedom Sensitivity coefficient

Contribution to

uncertainty X x u(x) n c u(y)

Standard reading P S ( λ ) 1,0122E-03 1,53E-06 A 9 987 1,507E-03

Standard resolution δ P S ( λ ) 0,0000 2,89E-07 B 100 987 2,848E-04

Responsivity K S ( λ ) 0,9988 3,78E-03 B 100 1 3,784E-03

Drift of standard δ K S ( λ ) 0,0000 1,15E-03 B 100 1 1,153E-03

Test reading P X ( λ ) 1,0148E-03 1,53E-06 A 9 984 1,507E-03

Test resolution δ P X ( λ ) 0,0000 2,89E-07 B 100 984 2,841E-04

Calibration Factor K X ( λ ) 0,9987 n ef 5,000E+05 4,243E-03 k= 2,0000

Calibration Factor (k=2) K X ( λ ) 0,9987 0,0085

Calibration Factor (CMC) K X ( λ ) 0,999 0,010

DETAILED UNCERTAINTIES

Table 11. Uncertainty budget at 1550 nm wavelength and -23 dBm power level

5.3. AS Metrosert Measurements 5.3.1. Laboratory conditions A thermo-hygrometer from Rotronic S/N A190303825 calibrated by AS Metrosert was used to record laboratory conditions. The temperature and relative humidity in the calibration area has been maintained as (20.0 - 20.6) ºC and (24 -28) %rh, respectively. 5.3.2. Traceability In the measurements the photodetector 2XIGA [6] was used as a reference detector whose spectral responsivity is traceable to Aalto University. The photocurrent of the detector was measured by using the digital multimeter type 1281 from Wavetek S/N 45019 which is traceable to national standard of electrical quantities of AS Metrosert. The wavelengths of the lasers (type LPS-1310-FC, S/N 220620-21 and type LPS- 1550-FC, S/N 22030-18 both from Thorlabs) were not measured, the datasheets provided by the manufacturer was used instead. 5.3.3. Measurement facility and the calibration procedure The measurement set-up used in the measurement at AS Metrosert is depicted in Figure 7.

Magnitude Symbol Value Standard

uncertainty Type of

assessment Degrees of

freedom Sensitivity coefficient

Contribution to

uncertainty X x u(x) n c u(y)

Standard reading P S ( λ ) 5,0710E-06 9,80E-09 A 9 197536 1,935E-03

Standard resolution δ P S ( λ ) 0,0000 2,89E-09 B 100 197536 5,702E-04

Responsivity K S ( λ ) 0,9988 3,78E-03 B 100 1 3,796E-03

Drift of standard δ K S ( λ ) 0,0000 1,15E-03 B 100 1 1,157E-03

Test reading P X ( λ ) 5,0687E-06 9,79E-09 A 9 197627 1,935E-03

Test resolution δ P X ( λ ) 0,0000 2,89E-09 B 100 197627 5,705E-04

Calibration Factor K X ( λ ) 1,0017 n ef 5,000E+05 4,452E-03 k= 2,0000

Calibration Factor (k=2) K X ( λ ) 1,0017 0,0089

Calibration Factor (CMC) K X ( λ ) 1,002 0,010

DETAILED UNCERTAINTIES

Figure 7. The measurement set-up used for the pilot study on the fiber optic

power meter calibration at AS Metrosert. In the measurements the photodetector 2XIGA was used as a reference detector. The photodetector includes two InGaAs-photodiodes type G8370-10 (windowless) from Hamamatsu. The configuration of photodiodes in the detector is insensitive to the polarization state of incoming beam [6]. As the light sources two diode lasers from Thorlabs were used

a) CWL λ=1309.2 nm, bandwidth Δλ not specified, number of longitudinal

modes 6 (manufacturer specifications) (Figure 8)

b) CWL λ =1545.5 nm, bandwidth Δλ not specified, number of modes 8

(manufacturer specifications) (Figure 9)

Figure 8. The spectra of the laser Thorlabs 220620-21 (1310 nm) at 20,5 mA.

Figure 9. The spectra of the laser Thorlabs 220330-18 (1550 nm) at 23,1 mA.

The lasers’ current and temperature assembled in LD/TEC mount for Thorlabs Fiber- Pigtailed Laser Diodes model LDM9LP were set by using current driver LDC202C (S/N M00834933) and temperature controller TEC200C (S/N M00657257), both from Thorlabs. In the measurements with photodetector 2XIGA, the collimators model F240FC-C and model F240FC-1550 were used with the lasers at the wavelengths 1309.2 nm and 1545.5 nm, respectively.

The photocurrent from the detector 2XIGA was recorded by using digital multimeter Wavetek 1281.

The device under test (the comparison artefact) was powered on and let to warm up for 1 hour before start of measurements. Only parameter of correct wavelength was changed by using key “Param” on the front panel of DUT.

The measurements were performed in cycles. The sequence in the measurement cycle was:

a) Optical power measurement with reference detector with collimator attached to the fiber laser output;

b) Optical power measurement with DUT without collimator attached to the fiber laser output;

c) Optical power measurement with reference detector with collimator attached to the fiber laser output.

In total, 10 measurement cycles were conducted at each laser wavelength and each optical power level.

Table 12 gives the summary of results and uncertainties.

Table 12. Calibration results and uncertainties of AS Metrosert

Wavelength (nm)

Optical power

(dBm)

Calibration Factor

(correction / dB) (a)

Type A Standard

Uncertainty (k=1) (b)

Type B Standard

Uncertainty (k=1) (c)

Total Expanded

Uncertainty k=2 (d)

1309,2 -23 -0,01 0,13 0,05 0,28

-20 0,06 0,10 0,05 0,22

-10 0,06 0,11 0,05 0,24

0 0,15 0,09 0,05 0,20

1545,5 -23 -0,07 0,12 0,08 0,29

-20 -0,01 0,13 0,05 0,27

-10 0,08 0,09 0,05 0,22

0 0,07 0,08 0,05 0,20

5.3.4. Uncertainty budget The calibration uncertainty at agreed wavelengths and power levels are given in Table 12 and the detailed uncertainty budgets at 1310 nm and 1550 nm wavelengths are shown in Tables 13- 16.

Table 13. Uncertainty budget at 1310 nm wavelength and 0 dBm power level Reference Value Standard

deviation Unit PDF Standard uncertainty

contribution, dB Calibration of responsivity 0,9646 0,0193 mA/mW Normal -0,087

Aging 0 0,0096 mA/mW Uniform -0,013

Spatial uniformity 0 0,0193 mA/mW Uniform -0,025

Effect of collimator 0 0,0019 mA/mW Uniform -0,005

Fibre connection 0 0,008 dB Uniform 0,005

DMM calibration 0 1 µA Normal -0,005

DMM reading 919,69 1,46E+00 µA Normal -0,007

DMM resolution 0 0,01 µA Uniform -0,00001

LD stability 0 0,010 - Uniform -0,013

LD wavelength 0 0,2 nm Uniform 0,0007

Calibrated power meter

Reading -0,36 0,004 dBm Normal 0,004

Resolution 0,001 dBm Uniform 0,0003

Fibre connection 0,120 dBm Uniform 0,035

Combined standard uncertainty

Type A 0,087

Type B 0,047

Total (k=1) 0,099

Expanded uncertainty (k=2) 0,20

Table 14. Uncertainty budget at 1310 nm wavelength and -23 dBm power level

Reference Value Standard deviation

Unit PDF Standard uncertainty contribution, dB

Calibration of responsivity 0,9646 0,0193 mA/mW Normal -0,087

Aging 0 0,0096 mA/mW Uniform -0,013

Spatial uniformity 0 0,0193 mA/mW Uniform -0,025

Effect of collimator 0 0,0019 mA/mW Uniform -0,005

Fibre connection 0 0,008 dB Uniform 0,005

DMM calibration 0 0,1 µA Normal -0,096

DMM reading 4,52 1,57E-02 µA Normal -0,015

DMM resolution 0 0,01 µA Uniform -0,00277

LD stability 0 0,010 - Uniform -0,013

LD wavelength 0 0,2 nm Uniform 0,0007

Calibrated power meter

Reading -23,42 0,012 dBm Normal 0,012

Resolution 0,001 dBm Uniform 0,0003

Fibre connection 0,120 dB Uniform 0,035

Combined standard uncertainty

Type A 0,131

Type B 0,047

Total (k=1) 0,140

Expanded uncertainty (k=2) 0,28

Table 15. Uncertainty budget at 1550 nm wavelength and 0 dBm power level

Reference Value Standard deviation

Unit PDF Standard uncertainty contribution, dB

Calibration of responsivity 1,146 0,0184 mA/mW Normal -0,069

Aging 0 0,0115 mA/mW Uniform -0,013

Spatial uniformity 0 0,0229 mA/mW Uniform -0,025

Effect of collimator 0 0,0023 mA/mW Uniform -0,005

Fibre connection 0 0,002 dB Uniform 0,001

DMM calibration 0 1 µA Normal -0,004

DMM reading 1162,1 9,4E+00 µA Normal -0,035

DMM resolution 0 0,01 µA Uniform -0,00001

LD stability 0 0,020 - Uniform -0,025

LD wavelength 0 0,2 nm Uniform 0,0006

Power meter

Reading -0,018 0,024 dBm Normal 0,024

Resolution 0,001 dBm Uniform 0,0003

Fibre connection 0,120 dBm Uniform 0,035

Combined standard uncertainty

Type A 0,082

Type B 0,051

Total (k=1) 0,097

Expanded uncertainty (k=2) 0,20

Table 16. Uncertainty budget at 1550 nm wavelength and -23 dBm power level Reference Value Standard

deviation Unit PDF Standard uncertainty

contribution, dB Calibration of responsivity 1,146 0,0229 mA/mW Normal -0,087

Aging 0 0,0115 mA/mW Uniform -0,013

Spatial uniformity 0 0,0229 mA/mW Uniform -0,025

Effect of collimator 0 0,0023 mA/mW Uniform -0,005

Fibre connection 0 0,002 dB Uniform 0,001

DMM calibration 0 0,1 µA Normal -0,077

DMM reading 5,61 2,2E-02 µA Normal -0,017

DMM resolution 0 0,01 µA Uniform -0,00223

LD stability 0 0,02 - Uniform -0,025

LD wavelength 0 0,2 nm Uniform 0,0006

Calibrated power meter

Reading -23,15 0,021 dBm Normal 0,021

Resolution 0 0,001 dBm Uniform 0,0003

Fibre connection 0 0,120 dBm Uniform 0,069

Combined standard uncertainty

Type A 0,119

Type B 0,079

Total (k=1) 0,143

Expanded uncertainty (k=2) 0,29

6. Results and conclusion

A pilot comparison on the calibration of fiber optic power meter between three metrology institutes (TUBITAK UME, IO-CSIC and AS Metrosert) is performed within the described European project study. In the comparison, TUBITAK UME was the pilot laboratory, IO-CSIC and AS Metrosert were participating laboratories. The comparison results of three participants at agreed wavelengths and power levels are shown in Table 17 and Figure 10 [7]. Ratios of IO-CSIC to TUBITAK UME and IO-CSIC to AS Metrosert were used in the calculations. As can be seen from the figure, there are good agreement between the results at both wavelengths.

Table 17. Correction factor and uncertainty obtained by each laboratory

LAB. λ Power level Correction Uncertainty

TUBITAK UME

(nm) (dBm) (dB) (dB (k = 2)) 1310.0 0 0,035 0,098 1310.0 -23 0,012 0,098 1549.9 0 -0,048 0,097 1549.9 -23 -0,045 0,097

IO-CSIC

1310.0 0 -0,029 0,043 1310.0 -23 -0,041 0,043 1550.0 0 -0,006 0,043 1550.0 -23 0,007 0,043

AS Metrosert

1309.2 0 0,15 0,20 1309.2 -23 -0,01 0,28 1545.5 0 0,07 0,20 1545.5 -23 -0,07 0,29

Figure 10. Comparison results showing the correction (dB) versus optical power measurements at 0 dBm and - 23 dBm of three participants at 1310 nm and 1550 nm

wavelengths

References

1. https://www.euramet.org/research-innovation/search-research- projects/details/project/supporting-smart-specialisation-and-stakeholder-linkage-in- photometry-and-radiometry

2. P Corredera et al. Comparison between absolute thermal radiometers at wavelengths of 1300 nm and 1550 nm, Metrologia, 37, 543-546, 2000.

3. P Corredera et al. Absolute power measurements at wavelengths of 1300 nm and 1550 nm with a cryogenic radiometer and a tuneable laser diode. Metrologia, 37, 519-522, 2000

4. Corredera P, Hernanz M L, Campos J, Fontecha J L, Pons A and Corrons A Application of an addition method to obtain the non-linearity of optical fibre instrumentation. OFMC ’97 Conf. Digest (NPL, Teddington) pp 146–9, 1997

5. P Corredera, ML Hernanz, M González-Herráez, J Campos. Anomalous non-linear behaviour of InGaAs photodiodes with overfilled illumination, Metrologia 40 (1), S150, 2004

6. Aigar Vaigu et al 2015 Meas. Sci. Technol. 26 055901, DOI 10.1088/0957- 0233/26/5/055901

7. F.Sametoglu, T. Kubarsepp, P.Corredera. A pilot comparison on calibration of fiber optic power meter. 15th International Conference on New Developments and Applications in Optical Radiometry (NEWRAD 2023), 11-15 September 2023, NPL, Teddington, UK.

Optiliste suuruste jälgitavusahel, mõõte- ja abivahendeid ning etalone iseloomustavate metroloogiliste parameetrite, laboriruumi ja personali

kirjeldus

1. Sissejuhatus ............................................................................................................................. 1

2. Optiliste suuruste riigietaloni mõõtevõime.................................................................................. 2

2. Optiliste suuruste riigietaloni jälgitavusahel ................................................................................ 2

3. Optiliste suuruste riigietaloni mõõte- ja abivahendid ................................................................... 4

3.1 Mõõtevahendid ühiku säilitamisel ja edastamisel ................................................................... 4

3.2 Abivahendid ........................................................................................................................ 4

4. Etaloni metroloogilisi omadusi tõendavad dokumendid ............................................................... 7

5. Optiliste suuruste riigietaloni laboriruum .................................................................................... 7

6. Optiliste suuruste riigietaloni säilitamise, kasutamise ja arendamisega seotud personal ................ 7

7. Optiliste suuruste riigietaloni säilitamise, kasutamise ja arendamise tasuvusanalüüs ..................... 7

1

1. Sissejuhatus

Optiliste suuruste riigietaloni tasemel mõõtmisvõime on tarvilik eeldus kõrgel tasemel

rakendusuuringutele ja metroloogiliste teenuste arendamiseks valdkondades nagu autonoomsed

sõidukid, kvantside, säästvate LED-valgusallikate kasutamine, sensor- ja materjalitehnoloogia. Optiliste

suuruste mõõtevõime tagamine riigietaloni tasemel kindlustab, et oleme Eestis võimelised testima uut

tehnoloogiat näiteks kaitsetööstuses või turvaliste sidelahenduste juurutamisel. Optiliste suuruste

riigietaloni arendamise käigus on muu hulgas töötatud välja või laiendatud järgmisi teenuseid:

• Optiliste mõõtevahendite kalibreerimisteenus (teenus arendatud, akrediteerimisel), näiteks

kiudoptilisi mõõtevahendeid kasutavad telekommunikatsiooniettevõtted

ja elektroonikatööstus.

• Meditsiinivaldkonna optiliste seadmete toimimise katsetused – AS Metrosert on hetkeseisuga

võimeline seadmeid (näiteks kosmeetilisteks protseduurideks kasutatavad laserid) teatud

ulatuses laboris kontrollima,

• Kvantkommunikatsiooni võrgu seadmete ja võrgu testimine: teadus- ja arendusprojektide

raames on arendatud välja võimekus testida kvantvõtmejaotusseadmete (QKD) allikate

kvaliteeti.

Optiliste suuruste riigietaloni arendusprojekti käigus ja sellega kaasnenud võimekuse ülesehitamise

tulemusena on Metrosert osalenud järgnevates teadus- ja arendusprojektides, mis on panustanud kas

mõõtevõime või siis teenuste arendusse:

1. SEQUME – mõõtevõime arendamine üksikute footonite tasemeni.

2. EstQCI – kvantvõtmejaotusseadmete testimisvõimekuse arendamine

3. S-CALe UP - etalondetektori arendamine ultravioleti (250…400) nm ja lähedase infrapuna

(800…1000) nm lainepikkuste piirkondadesse madala määramatusega.

4. NEWSTAND - spektraalse kiiritustiheduse etalonallika arendamine, et katta lai lainepikkuste

vahemik 250 nm kuni 2500 nm.

5. NoQTeS - jälgitavate mõõtmis- ja karakteriseerimismeetodite väljatöötamine

kvantsensortehnoloogiate jaoks, mis on vajalikud teemandi värvitsentritel põhinevate

seadmete standardimise toetamiseks.

Optiliste suuruste riigietaloni tasemel mõõtevõime hoidmine ja jätkuv arendamine tagab, et Eestis on

olemas eeldused edasiseks teadus- ja arendustegevuseks erinevatel optilise võimsuse tasemetel, sh

madalatel valgusvoogudel põhinevate tehnoloogiate (nt kvanttehnoloogilised rakendused)

arendamiseks ja ettevõtete vastavasuunalise teadus- ja arendustegevuse toetamiseks. Jätkuv edasine

teadus- ja arendustegevus ja rahvusvahelise koostöö madalate footonvoogude mõõtmiste jälgitavuse

tagamiseks on oluline, sest rahvusvaheliselt puuduvad selleks veel standardsed alused.

Riigi- ja tugietalonide nimistu kehtestab valdkonna eest vastutav minister määrusega. Hetkel kehtivas

määruses on optilised suurused esindatud tugietalonina.

2

2. Optiliste suuruste riigietaloni mõõtevõime

Taotletav etalon on järgmistele optilistele suurustele:

Mõõdetav suurus Mõõtepiirkond Kalibreerimis- ja mõõtevõime, U(k=2)

Valgustustihedus (5...15) lx

(15…2000) lx

(>2000...5000) lx

5,0%

2,3%

5,0%

Spektraalne

tundlikkus*

(0,22...0,71) A/W

(0,8…1,55) A/W

(3,0…0,5)%;  =(400…450) nm,

0,5%;  =(450…750) nm

(0,5…2)%;  =(750…950) nm

5%;  =1310 nm, 1550 nm

kus  tähistab valguse lainepikkust

*Optilise võimsuse vahemik 1  W...1 mW.

2. Optiliste suuruste riigietaloni jälgitavusahel

Riigietaloniga sooritatavate mõõtetulemuste jälgitavus rahvusvahelise SI süsteemiga on tagatud

etalonluksmeetrite ja etalondetektorite kalibreerimisega primaaretaloni suhtes Euroopa

metroloogiainstituutides. Nendeks on hetkel etalonluksmeetri ja infrapunase piirkonna etalondetektori

puhul Hispaania metroloogiainstituut IO-CSIC, LED-etalonallika puhul Saksamaa metroloogiainstituut

PTB ja nähtava piirkonna etalondetektori puhul Soome metroloogiainstituut MIKES/AALTO. Optiliste

suuruste riigietaloni jälgitavusahel on illustreerituna esitatud allpool. Optiliste suuruste riigietalon on

valdkonna parima mõõtevõimega etalon Eestis.

3

Optiliste suuruste riigietaloni sooritatavate mõõtetulemuste jälgitavus valgustustiheduse mõõtmistel

on tõendatud Eesti Akrediteerimiskeskuse poolt. Spektraalse tundlikkuse jälgitavus on tagatud

nähtavas piirkonnas MIKES-Aalto referentsdetektori kaudu ja infrapunases piirkonnas lainepikkustel

1310 nm ja 1550 nm on võimekus leidnud kinnitust rahvusvahelisel võrdlusmõõtmisel.

4

3. Optiliste suuruste riigietaloni mõõte- ja abivahendid 3.1 Mõ õ tevahendid ü hikü sa ilitamisel ja edastamisel

Etalon Tüüp Nr Mõõtepiirkond Laiendmääramatus Kalibreeritud Kalibreerija

1 2 3 4 5 6 7

Etalonluksmeeter PRC Krochmann

RadioLux 111

150320 / 150320 (0,3...5000) lx 0,8 % 10.2024 IO-CSIC

LED-etalonallikas LIS-A OS40005A09 342,19 cd

16,278 cd

0,76 %

0,87 %

07.2025 PTB

Etalondetektor (ränipõhine) MET S03-S1337 2311011 (0,22...0,71) A/W (0,051...0,098)% 03.2026 Aalto

Etalondetektor

(InGaAspõhine) 2XIGA 2305001 (0,8…1,55) A/W (0,010...0,012) A/W

 =1310 nm, 1550 nm,

1625 nm

07.2023 IO-CSIC

3.2 Abivahendid

Mõõtevahend Tüüp Nr Mõõtepiirkond Laiendmääramatus Kalibreeritud Kalibreerija

1 2 3 4 5 6 7

5

Fotomeetriline pink ФС-M-4.1 782045 kuni 3 m - - -

Toiteallikas PTN 125-1 4145 17530 (0…125) V

(0…1) A

- - -

Lamp-valgusallikas Wi41/G 6 A

31 V

- - -

Toiteallikas Agilent 6675A MY41001713 (0…120) V

(0…18) A

- - -

NKTP superkontiinum laser SuperK FIANIUM

FIU-6 PP

K0128672 400…2300 nm,

150 kHz - 78 MHz - - -

Selekteeriv lainepikkuste

filter LLTF CONTRAST SR- VIS-HP8-HF2-F12M-

NKTP

M000011019 (400…1000) nm

Selekteeriv lainepikkuste

filter (1000…2300) nm

Laser LPS-1310-FC 220620-21 1309,2 nm - - -

Laser LPS-1550-FC 220330-18 1545,5 nm - - -

Laser LDH-D-C-690 010470088 689 nm

Laser PIL1-155-40FC 1160 1550 nm, kuni 40MHz

Ampermeeter B2987B MY61390201 2 pA…20 mA 1·10-4 pA...3,9·10-4 mA 16.04.2026 Metrosert

6

Ampermeeter B2981B MY61390220 2 pA…20 mA 1·10-4 pA...3,9·10-4 mA 20.04.2026 Metrosert

Multimeeter Wavetek 1281 45019 100 nA…2 mA,

0.1 V…100 V

4. Etaloni metroloogilisi omadusi tõendavad dokumendid

Metroloogilisi omadusi tõendavad dokumendid on:

1. Eesti Akrediteerimiskeskuse akrediteerimistunnistus nr K001 (valgustustihedus).

2. Fotodetektori rahvusvaheline võrdlusmõõtmine „Pilot Comparison on the fiber optic power

responsivity between TUBITAK UME, IO-CSIC and AS Metrosert, SmartPhora A3.1.4“

(spektraalne tundlikkus).

5. Optiliste suuruste riigietaloni laboriruum

ASi Metrosert Tallinna labori ruumid asuvad aadressil Teaduspargi 8, Tallinn.

Erinõudeid laboriruumi keskkonnatingimustele seatud ei ole, laboriruumid on ilma akendeta ja

valgustustiheduse laboriruumi siseseinad on värvitud mustaks.

Keskkonna temperatuur laborites on vahemikus 20 °C…23 °C / stabiilsus ±2,0 °C.

Mõõtmisel kasutatavatele riigietaloni seadmetele ja abivahenditele on vajalikud tingimused

laboriruumides tagatud. Nendeks on tavatemperatuur, temperatuuri stabiilsus, elektritoide ja vajalik

õhuniiskus.

6. Optiliste suuruste riigietaloni säilitamise, kasutamise ja arendamisega seotud personal

Optiliste suuruste riigietaloni säilitamisega ja arendamisega tegelevad Meelis-Mait Sildoja, Matt

Rammo ja Toomas Kübarsepp. Töötajate akadeemilised CV-d on leitavad Eesti Teadusinfosüsteemist

ETIS (www.etis.ee).

7. Optiliste suuruste riigietaloni säilitamise, kasutamise ja arendamise vajadus- ja tasuvusanalüüs

Aastatel 2022-2025 on Metrosert investeerinud optiliste suuruste riigietaloni arendusprojekti raames

põhivara ehk seadmete soetamiseks 536 407 eurot, investeerimiseks vajalikud vahendid pärinevad

peamiselt majandus- ja kommunikatsiooniministeeriumi teadus- ja arendusrahastusest. Seega ei võta

allolev analüüs arvesse seadmete amortisatsioonikulusid, sest investeeringuteks vajalikud vahendid on

Metroserdile laekunud investeeringu tegemise aastal sihtfinantseeringuga.

Optiliste suuruste riigietaloniga teenitav tulu koosneb kahest komponendist. Müügitulu hõlmab

teenuseid nagu kalibreerimine ja mõõtmine, samuti optiliste suurustega seotud

konsultatsiooniteenuseid ja ettevõtetele teostatavaid TA-projekte. Tulu teadus- ja arendusprojektidest

on rahvusvahelistest taotlusvoorudest laekuv granditulu teadus- ja arendustegevusteks. Prognoosid on

tehtud 2025. aasta reaalsete andmete alusel. Optiliste suuruste valdkonna prognoositavad teadus- ja

arendusprojektid käsitlevad teemasid nagu uut tüüpi allikate ja detektorite arendus ja testimine ja

kvanttehnoloogia edasine arendamine, sealhulgas standardiseerimine. Samuti käsitlevad projektid

optiliste suuruste mõõtevõime rakendamist areneva tehnoloogia (nt kiibitehnoloogia,

kvantvõtmejaotus) testimisel. Optiliste suuruste valdkonna kalibreerimisteenuste kliendid on

peamiselt meditsiini-, ravimi-, toiduaine- ja elektroonikatööstus. Teadus- ja arendusteenuse kliendid

on valgusel põhinevate tehnoloogiate arendajad ja teaduslaborid. Optika valdkonna teadus- ja

arendustegevuse osaks on samuti ülitundlike detektorite arendus, mida eduka arendustegevuse korral

on võimalik tootena müüa.

Optiliste suuruste riigietaloni kulude peamise osa moodustavad tööjõukulud, arvestatud on kahe

(doktorikraadiga) teaduri ja ühe juhtivteaduri palgakulu (kokku kolm täistööajaga töötajat), võttes

arvesse iga-aastast võimalikku korrektuuri. Teise kulukomponendi moodustavad investeeringud, mis on

vajalikud valdkonna edasiseks arendustegevuses. Otsekulude hulgas on erinevad väikevahendid ja

materjalid igapäevase töö elluviimiseks. Üldkuludes on lisaks pindade ja administratiivkuludele ka kõik

muud kulud, nt tarkvara, side, laborite koristus, elekter ja soojus jne. Üldkulude määraks on arvestatud

25% kuludest, mis on tavapärane EL grandimeetmetes kasutatav üldkulu määr. Optiliste suuruste

riigietaloni prognoositavad tulud ja kulud on esitatud tabelis 4.

Optiliste suuruste kulude ja tulude prognoos ei võta arvesse tulu, mida saavad erinevad ettevõtted ja

asutused lisandunud kalibreerimisteenuste ja TA-tegevuse tulemusena. See tulu ületab tõenäoliselt

oluliselt ASi Metrosert poolt teenitavat otsest tulu teenustest. EURAMETi 2025. aastal läbiviidud

uuringu 1 kohaselt toob iga Euroopa Liidus metroloogiavaldkonna teadus- ja arendustegevusse

investeeritud euro tagasi neli eurot tulu, sest läbi metroloogia toetatakse ettevõtete teenuste kvaliteeti

ja arendust. TA-mahuka optika valdkonna puhul võib seda mudelit arvesse võttes kaudne tulu ületada

miljon eurot aasta kohta.

Võttes arvesse kvanttehnoloogia valdkonna kiiret arengut, samuti valgusel põhinevate tehnoloogiate

kasutuselevõttu näiteks meditsiinis, on lisaks otsesele tulule oluline laiem kasu sellest, et Eestis on

olemas valdkondlik kompetents. Selle kompetentsi toel on võimalik lisaks kalibreerimisteenuse

osutamisele toetada uue tehnoloogiliste lahenduste arendamist ja uue tehnoloogia kasutuselevõttu.

Tegevuse heaks näiteks on turvalise side ja kvantvõtmejaotusega seonduv, mille käigus Metrosert on

optiliste suuruste riigietaloni arendamise käigus saadud teadmisi kasutades arendanud välja

kompetentsi kvantkindlate võrkude testimiseks, millel on pikemas perspektiivis oluline

julgeolekupoliitiline mõju.

Tabel 4. Optiliste suuruste riigietaloni tulud ja kulud viie aasta perspektiivis

2026 2027 2028 2029 2030

Tulud 205000 210000 255000 267000 295000

Teenuste müük (konsultatsioon, TA-teenused ja

mõõteteenused) 45000 50000 55000 67000 70000

Tulu rahvusvahelistest TA-projektidest 160000 160000 200000 200000 225000

Kulud -403750 -438050 -475094 -515122 -558393

Valdkonna otsekulud -25000 -27000 -29000 -31000 -33000

Personaliga seotud kulud -218000 -235440 -254275 -274617 -296587

1 Quantifying the economic benefit resulting from EURAMET’s metrology research programmes , EURAMET, 2025

Valdkonna arendamiseks vajalikud

investeeringud -100000 -110000 -121000 -133100 -146410

Üldkulud 25% (sh pindadega seotud kulud,

admin kulud) -60750 -65610 -70818,8 -76404,3 -82397

Kokku -198750 -228050 -220094 -248122 -263393

8

Final report of the EURAMET.EM- K5.2018 comparison on AC power

Gertjan Kok (VSL)

Helko van den Brom (VSL)

Pierre-Jean Janin (LNE)

Adrian Wheaton (NPL)

Kristian Dauke (PTB)

Draft B March 2026

EURAMET.EM-K5.2018 Draft B Page 2 of 46

1 INTRODUCTION

The Mutual Recognition Arrangement (MRA) requests that the metrological equivalence of national

measurement standards is determined by a set of key comparisons organised by the Consultative

Committees of the CIPM working closely together with the Regional Metrology Organisations (RMO).

Recently, the international key comparison CCEM-K5.2017 of 50/60 Hz standards was organized

under the auspices of the Consultative Committee of Electromagnetism (CCEM). As a follow-up, the

regional key comparison EURAMET.EM-K5.2018 has been conducted between the participating

National Metrology Institutes (NMIs) and Designated Institutes (DIs). Most of the participating

NMIs/DIs are members of EURAMET but one NMI from COOMET also participated.

In this EURAMET.EM-K5.2018 comparison the comparability of power measurements between the

participants was assessed. The aim of the comparison was to determine the participants‘ Degrees of

Equivalence (DoE) referred to the linked key comparison reference value of the related CCEM key

comparison CCEM-K5.2017. The comparison protocol was based on the procedures used during the

CCEM-K5.2017 comparison and followed the CCEM Guidelines for Planning, Organizing, Conducting

and Reporting Key, Supplementary and Pilot Comparisons [1].

This report presents the outcomes of the EURAMET.EM-K5.2018 key comparison. The analysis of the

comparison results with respect to the CMC claims of the participating institutes and the measures to

be taken in the case of inconsistencies are not within the scope of this report.

EURAMET.EM-K5.2018 Draft B Page 3 of 46

2 PARTICIPANS AND ORGANISATION

In total 22 laboratories participated in the comparison. The coordination was shared by four NMIs:

VSL, PTB, NPL, and LNE. VSL was responsible for the general coordination, the analysis and the

reporting, PTB performed the stability measurements for both standards, LNE was responsible for

the practical organisation of the comparison, and NPL assisted in the reporting.

The comparison was organised in two parallel loops, referred to as A and B. Four weeks were allowed

for each participant including transportation time to the next participant. However, due to the

COVID-19 pandemic, it was not possible to keep to the original schedule due to laboratory closures

and local restraints imposed on the laboratories. Nevertheless, the measurements by all 22

participants were completed in a time frame of less than two years. No technical issues occurred

with any of the transfer standards.

The full list of participants is presented in alphabetical order in Table 1.

Table 1 - Participants of the comparison

BEV Bundesamt für Eich- und Vermessungswesen Austria

BIM Bulgarian Institute of Metrology Bulgaria

CEM Centro Español de Metrología Spain

CMI Ceský Metrologický Institut Czech Republic

EIM Hellenic Institute of Metrology Greece

GUM Glówny Urzad Miar Poland

INM Institutul Național de Metrologie Romania

INRIM Istituto Nazionale di Ricerca Metrologica Italy

JV Justervesenet Norway

LNE Laboratoire National de Métrologie et d’Essais France

METAS Federal Institute of Metrology Switzerland

METROSERT AS Metrosert Estonia

MIKES VTT Centre for Metrology of the Technical Research Centre of Finland

Finland

MIRS/SIQ Metrology Institute of the Republic of Slovenia / Slovenian Institute of Quality and Metrology

Slovenia

NPL National Physical Laboratory United Kingdom

PTB Physikalisch-Technische Bundesanstalt Germany

RISE Research Institutes of Sweden Sweden

SMU Slovenský Metrologický Ústav Slovakia

TRESCAL Trescal Denmark Denmark

TUBITAK UME Ulusal Metroloji Enstitüsü Turkey

UMTS State Enterprise "Ukrmetrteststandard" Ukraine

VSL VSL B.V. Netherlands

EURAMET.EM-K5.2018 Draft B Page 4 of 46

3 TRANSFER STANDARDS

3.1 DESCRIPTION OF THE TRAVELLING STANDARDS Two travelling standards of the type RADIAN RD-22-332S were used in this key comparison in two

parallel loops. These standards were adapted to measure active power at 120 V and 240 V and 5 A

with outstanding stability in time. PTB provided travelling standard with serial number S/N 207172

that was used in loop A and VSL provided travelling standard with serial number S/N 208014 that was

used in loop B.

The standards and accompanying accessories (connectors and power supplies) were provided with

an individual rugged plastic container, suitable for shipping the standards by air. The standards were

packaged with a temperature/humidity miniature logger. During measurements at the participant’s

laboratory, the logger remained on the top surface of the travelling standard, mainly close to the

backlit LCD of the travelling standard, in order to log measurements of ambient temperature and

humidity. The logging data were downloaded and monitored by PTB in order to keep track of the

changes of temperature or humidity which may have occurred during transportation or while staying

at the participating laboratory.

The reference standards were provided with a 24 V DC power supply, which was connected to the

mains at 240 V, 50 Hz. The auxiliary power to the travelling standard was to be applied at least 4

hours before starting the tests.

3.2 QUANTITY TO BE MEASURED The participating laboratories reported a single power measurement for each of the 10 possible

combinations of voltage, current, and power factor referred to in Table 2. In this Table, “lead” is

defined as the current phase leading the voltage phase, and “lag” as the current phase lagging the

voltage phase. The measurement result reported was the calibration error of the travelling standard,

defined as the difference between the value of the measured quantity indicated by the travelling

standard and the applied value as determined by the participating laboratory, and divided by the

nominal apparent power in VA. The value and uncertainty of the calibration were expressed in the

unit μW/VA. The error is defined positive if the travelling standard's indication is larger than the

applied value as determined by the participating laboratory.

Table 2 - Parameters for the measurement of active power

Parameter Value

RMS voltage 120 V, 240 V

RMS current 5 A

Power factor 1.0, 0.5 lead, 0.5 lag, 0 lead, 0 lag

Frequency 53 Hz

EURAMET.EM-K5.2018 Draft B Page 5 of 46

3.3 CIRCULATION SCHEME

The circulation scheme and time schedule are shown in Table 3 (Loop A) and Table 4(Loop B).

Table 3 – Travelling schedule of loop A

NMI/DI Country Start date End date Duration

(calendar days)

PTB Germany 04/02/2019

GUM Poland 04/02/201928/02/201924

PTB Germany 04/03/201908/03/20194

CMI Czech Republic 15/03/201916/04/201932

SMU Slovakia 16/04/201922/05/201936

BEV Austria 22/05/201924/06/201933

INM Romania 26/06/201926/08/201961

PTB Germany 29/08/201930/09/201932

UME Turkey 04/11/201915/11/201911

MIRS/SIQ Slovenia 06/12/2019 16/01/2020 41

INRIM Italy 17/01/2020 24/02/2020 38

BIM Bulgaria 27/02/2020 11/06/2020 105

EIM Greece 12/06/2020 13/07/2020 31

PTB Germany 10/08/2020 14/08/2020 4

UMTS Ukraine 06/11/2020 10/12/2020 34

PTB Germany 17/12/2020 06/01/2021 20

Table 4 – Travelling schedule of loop B

NMI/DI Country Start date End date Duration

(calendar days)

PTB Germany 04/02/2019

TRESCAL Denmark 05/02/2019 05/03/2019 28

PTB Germany 11/03/2019 14/03/2019 3

RISE Sweden 18/03/2019 23/04/2019 36

MIKES VTT Finland 24/04/2019 24/05/2019 30

METROSERT Estonia 27/05/2019 21/06/2019 25

VSL Netherlands 26/06/2019 26/08/2019 61

PTB Germany 27/08/2019 30/09/2019 34

JV Norway 01/11/2019 02/12/2019 31

METAS Switzerland 13/01/2020 17/03/2020 64

CEM Spain 18/05/2020 18/06/2020 31

LNE France 26/06/2020 04/08/2020 39

PTB Germany 18/08/2020 21/08/2020 3

NPL United Kingdom 08/09/2020 23/11/2020 76

PTB Germany 30/11/2020 18/12/2020 18

EURAMET.EM-K5.2018 Draft B Page 6 of 46

4 MEASUREMENT DESCRIPTION

4.1 METHOD OF MEASUREMENT OF ACTIVE POWER The participating laboratories followed their usual measurement procedure to achieve their best

measurement capabilities within the allowed time frame for the comparison. Measurement results

of individual laboratories were accompanied by a description of the method used and a layout of the

primary current circuit with dimensions. The individual participants’ measurement results are

summarized in Appendix A, the data used for the calculations is provided as a separate digital

supplement with a detailed explanation in Appendix B, and the participants’ reports are shown in

Appendix C.

The measurement setups used by the participants in this comparison show great similarities. The

calibration signals are generated using a phantom power approach, generating voltage and current in

two separate circuits. This is done using a power calibrator or a function generator with

transimpedance and transconductance amplifiers. The calibration signals are applied simultaneously

to the device(s) under test and the reference setup, which typically consists of either voltage and

current scaling devices in combination with two sampling voltmeters or a commercial reference

power meter. The phase relation between voltage and current measurement is defined using an

external trigger. Voltage scaling is done using a resistive divider or an inductive voltage divider.

Current to voltage conversion is done using a current shunt or a current transformer together with a

current shunt.

4.2 MEASUREMENT CONDITIONS The travelling standard was kept in the laboratory before the measurements for a period of time

such that it reached stable temperature. The temperature and relative humidity were reported in

the individual results. The value and uncertainty of the ambient temperature and relative humidity of

the laboratory were reported. The travelling standard was de-energized between each set of

measurements for 1 minute, followed by a warm up period of at least 15 minutes.

Voltage and current sources were set to 53 Hz with voltage and current magnitudes within 0.2 % of

the values shown in Table I. At every power factor, the required number of measurements were

taken as stated in the procedures of the calibration laboratory. Readings of active power, voltage,

current, power factor and frequency displayed on the backlit LCD of the travelling standard were

recorded. The average of at least five sets of measurements was computed.

4.3 UNCERTAINTY OF MEASUREMENT All participants provided their results with the associated measurement uncertainty and a complete

uncertainty budget including the Type A and Type B evaluations of the uncertainty of the NMI/DI’s

calibration system. The expanded uncertainty was calculated for a level of confidence of 95.45 %,

corresponding to k = 2 for a normal distribution. The measurement uncertainty was determined

according to the ISO Guide to the Expression of Uncertainty in Measurement (GUM). All participants

supplied a statement of traceability to SI units.

EURAMET.EM-K5.2018 Draft B Page 7 of 46

5 RESULTS OF MEASUREMENT

5.1 DATA ANALYSIS As stated by the CIPM MRA, “RMO key comparisons must be linked to the corresponding CIPM key

comparisons by means of joint participants” and “only key comparisons carried out by a Consultative

Committee or the BIPM lead to a key comparison reference value”. For a key comparison carried out

by a regional metrology organization the link to the key comparison reference value is obtained by

reference to the results from those institutes which have also taken part in the CIPM key

comparison.” In this RMO key comparison the following approach has been employed for each of the

compared quantities:

1. An internal RMO reference value has been calculated based on the submitted results by the

participants of the Euramet comparison only, as well as degrees-of-equivalence.

2. For the laboratories participating both in the CIPM and in the Euramet comparison, a

comparison of the degrees-of-equivalence obtained in each of the comparisons has been

made, resulting in a linking correction.

3. This linking correction can be used to calculate an updated, linked RMO reference value, as

well as updated, linked degrees of equivalence.

In the next sections these steps will be presented in more detail. First, the calculation of the internal

RMO reference value for the Euramet.EM-K5.2018 comparison is explained. This calculation will be

performed following the mainstream approach presented in [2] extended to the general, multi-

dimensional case in [3], as there are two loops in the comparison. After this, the calculation of the

linking correction will be presented in more detail, after which the computed numerical values for

the linked degrees of equivalence will be presented. The analysis finishes with a brief discussion.

5.2 SYMBOLS AND ABBREVIATIONS In order not to make the notation too complex the test point is not explicitly indexed as a parameter

in the notation. The mathematical model and analysis process has been repeated for each of the ten

test points which are specified by the required voltage, current and PF values. Where relevant, the

loop is indicated with superscript or . The notation is introduced in Table 5 for loop ; the

notation for loop is defined in an analogous way.

Table 5 - Symbols and abbreviations. The notation for loop B is defined in an analogous way as that for loop A.

MRA Mutual Recognition Agreement

CIPM International Committee of Weights and Measures

CCEM Consultative Committee for Electricity and Magnetism

RMO Regional Metrology Organization

Euramet RMO for Europe

TS Travelling Standard: artefact that has been sent around

PL Pilot Laboratory: laboratory where the standards have been repeatedly measured (in this case PTB)

REF RMO comparison reference value

KCRV Key Comparison Reference Value of the CIPM comparison to which this comparison links

LKCRV Linked Key Comparison Reference Value, the updated REF after linking it to the CIPM comparison based on the results of the linking laboratories

EURAMET.EM-K5.2018 Draft B Page 8 of 46

RDOE RMO Degree of Equivalence, calculated with respect to REF

DOE Degree Of Equivalence, calculated with respect to the LKCRV

0 true value of loop : the unknown value of the calibration error of TS

ref RMO reference value in loop , the best estimate of 0

based on the provided measurement results of the measurements performed within the RMO comparison only

lkcrv LKCRV in loop

ℓ correction term for linking the CIPM KCRV to the RMO REF value and similarly for linking the DOEs

measured value by laboratory , whereby the index implicitly specifies if TS or TS has been measured. The PL has two indices, one for each TS.

, -th repetition of measured value by laboratory (only relevant for the PL)

instrument instability of TS measured at laboratory

measurement error of laboratory

standard uncertainty of provided by laboratory

correlation coefficient of the measurement error for any laboratory when performing repeated measurements (relevant for the PL and for the linking laboratories)

TS standard uncertainty of

(value independent of laboratory )

() standard uncertainty of , combining and TS (or TS

)

number of participating laboratories in loop

number of repetitions at the PL for each test point

index of the PL in loop

coverage factor for the expanded uncertainty

′ RMO degree of equivalence of laboratory (i.e. with respect to REF)

′ normalized RDOE of laboratory (i.e. with respect to REF)

degree of equivalence of laboratory with respect to LKCRV

normalized DOE of laboratory (i.e. with respect to LKCRV)

5.3 ASSUMPTIONS Some of the modelling assumptions and choices that have been used to solve the mathematical

model are listed below. The pertinence of the assumptions has been verified by means of the data

wherever possible.

• The uncertainties of all laboratories are considered independent.

• For repetitive measurements, the uncertainty of individual laboratories is assumed to be

largely systematic, i.e. the measurement uncertainties for the same laboratory have

correlation coefficient = 0.8.

• The PL has participated with the average result of the 5 repeated stability measurements. In

view of the assumed correlation, the PL laboratory uncertainty for the mean equals

√(1 + 4)/5 = 0.92 , whereby is the uncertainty provided for each of the five

measurements. The additional random uncertainty due to the TS will average out by a factor

1/√5.

• Although the PL is assumed to have some random uncertainty, the observed variation in the

repeated stability measurement results by the PL is entirely attributed to the instabilities of

EURAMET.EM-K5.2018 Draft B Page 9 of 46

the two TSs in order not to underestimate the TS uncertainty if the assumed correlation

coefficient would be too low.

• The instrument instabilities are fully random, no drift correction over time is needed. (This

has been verified by fitting a line to the repeated stability measurements at the PL, and

verifying that the slope coefficient of the line is not statistically different from zero.)

• The link with the related CCEM-K5.2017 comparison (KCRV) is based on the calculation of a

correction term to the degrees of equivalence in this Euramet RMO comparison (RDOEs) in

order to establish linked degrees of equivalence (LDOEs). This procedure can also be

interpreted as the calculation of new linked reference values for the Euramet.EM-K5.2018

comparison. The correction term due to the link turned out to be insignificant in view of its

uncertainty, but can nevertheless be used to align the realized DOEs in both comparisons as

much as possible.

A more detailed discussion of the instrument instabilities based on the results of the repeated

measurements at the PL can be found in section 5.6.

5.4 MATHEMATICAL MODEL The measured value

(i.e., the calibration error) of TS by laboratory at a specific test point can

be modelled as a sum of the true value 0 , the (mean-zero) instrument instability

, and the

(mean-zero) measurement error of the laboratory in the following way (similarly for TS ):

= 0 +

+ 1 ≤ ≤ (1)

= 0 +

+ + 1 ≤ ≤ + (2)

where the laboratories with indices 1 to have measured TS in loop and the laboratories with

indices + 1 to + TS in loop . As the PL has measured both TSs, it has two corresponding

indices denoted by and

. As the measurement error of the PL is assumed to be correlated

between various measurements, the correlation between and

can be used to connect the

results of loops and with each other. In this analysis it is assumed that the errors are largely

correlated, i.e.,

( ,

) = 0.8 (3)

The standard uncertainty of the measurement error is provided by laboratory itself:

() =

The standard uncertainties TS and TS

of the travelling standards are determined based on the =

5 repeated measurements by the PL and are the same for each laboratory. This calculation is

presented in section 5.6. These values only depend on the TS and not on the laboratory :

( ) = TS

( ) = TS

The combined uncertainty () of the measurements follows from combining the laboratory

uncertainty with the instrument instability uncertainty TS or TS

. For the laboratories which

measured the standard once (all but the PL), this yields:

EURAMET.EM-K5.2018 Draft B Page 10 of 46

() = √ 2 +

2 1 ≤ ≤ , ≠

(4)

() = √ 2 +

2 + 1 ≤ ≤ + , ≠

(5)

The PL has measured both standards five times. It is assumed that the PL laboratory uncertainties are

correlated for different measurements with correlation coefficient according to equation (3),

whereas the instrument stability uncertainty is random, and is averaged over the five measurements.

The reported values and

are the mean values over all repeated measurements. The

combined uncertainties in loop and for the PL are now given by

( ) = √(

2 (1 + 4) +

2 )/5 (6)

( ) = √(

2 (1 + 4) +

2 )/5 . (7)

The equations (1) and (2) above can be written in matrix notation in the following form:

= 0 + + (8)

with

=

(

1 ⋮ +1 ⋮

+)

, =

(

1 0 ⋮ 1 0 ⋮

⋮ 0 1 ⋮

0 1)

, 0 = ( 0

0 ), =

(

1

⋮

+1

⋮ +

)

, =

(

1 ⋮ +1 ⋮

+)

and associated covariance matrix of + given by

= (

1,1 ⋯ 1,+

⋮ ⋱ ⋮ +,1 ⋯ +,+

). (9)

The only non-zero entries , of the covariance matrix are given by the diagonal entries , and

the entries resulting from the covariance of the measurements by the PL:

, = 2()

, = ,

=

.

Note that even in the case of = 1, the variables and

would not be fully correlated due to

the random uncertainties of the TSs.

The solution of the weighted least squares problem corresponding to (8) and (9) follows from

minimizing the function

EURAMET.EM-K5.2018 Draft B Page 11 of 46

↦ ( − )T −1( − ).

The solution ̂ = ref = (ref

, ref )

T and associated covariance matrix ̂ are given by

ref =

ref −1 T

−1 and ref = (T

−1) −1

.

In section 0, ref will be referred to by REF-A, and ref

by REF-B.

The RMO degrees of equivalence (RDOE) ′ are defined by

′ = − ref for 1 ≤ ≤ (10)

′ = − ref for + 1 ≤ ≤ + (11)

or in vector notation

′ = − ref with ref = ref

The uncertainty of the DOEs are given by the covariance matrix

′ = − ref where ref = ref T

See [3] for the details of the computation.

Component-wise this corresponds to

(′) = √ 2() −

2(ref ) for 1 ≤ ≤

(′) = √ 2() −

2(ref ) for + 1 ≤ ≤ +

where 2(ref ) and 2(ref

) are given by entries (1,1) and (2,2) of the 2 × 2 matrix ̂.

The (signed) normalized RDOE ′ equals ′ normalized by (′) where denotes a coverage

factor, usually = 2. The expression for ′ is then given by

′ = ′

2 (′)

For PTB two RDOEs, ′ and ′

, are available corresponding to the measurement of the two TSs.

These DOEs can be combined into a single RDOE ′PL by computing their uncertainty weighted

average in the following way, where = (1,1)T, ′PL = (′ , ′

)T and ′PL denotes the

covariance matrix of ′PL:

(′PL) = ( T ′PL

−1 ) −1/2

(12)

′PL = ( T ′PL

−1′PL) 2(′PL) (13)

The normalized RDOE ′PL then follows from ′PL = ′PL / (2 (′PL)).

EURAMET.EM-K5.2018 Draft B Page 12 of 46

5.5 LARGEST SUBSET OF CONSISTENT VALUES AND DETERMINATION OF THE RMO

REFERENCE VALUE There are various methods for assessing if the results provided by the laboratories are consistent. In

[2] and [3] a chi-squared test is proposed. This test provides valid results (i.e., with a correct

significance level) regarding the consistency of the measured values by the laboratories if the

uncertainties provided by all laboratories are appropriate. If some laboratories overestimated and

others underestimated their uncertainties, the chi-squared test may not have the desired

significance level. The test may indicate consistency in a situation where there actually is a problem

and where further analysis is required. Furthermore, in the case one laboratory underestimates its

uncertainty this may result in a shift of the reference value resulting in unreasonably high ′ values

for other laboratories. This may not be fair to these other laboratories and it may not give a proper

representation of the capabilities of the participants of the comparison.

ISO 17043 [4] suggests that

• |′| ≤ 1 indicates “satisfactory” performance and generates no signal;

• |′| > 1 indicates “unsatisfactory” performance and generates an action signal.

In this report this latter approach has been followed in the following way: for every test point the

reference value is calculated using the results of all laboratories and the ′ values for all laboratories

are calculated. If one or more laboratories have a value with |′| > 1, the laboratory with the

highest absolute value is excluded from contributing to the calculation of the reference value and the

evaluation of the mathematical model is repeated without the measurement result of that

laboratory. If there are still laboratories with |′| > 1 the process is repeated again by excluding one

additional lab, and this iteratively continues until all laboratories contributing to the reference value

for a specific test point have |′| ≤ 1. After establishing the reference value the degrees of

equivalence for the excluded laboratories can be calculated using

(′) = √ 2() +

2(ref ) if 1 ≤ ≤ and laboratory not contributing to ref

(′) = √ 2() +

2(ref ) if + 1 ≤ ≤ + and laboratory not contributing to ref

Note the plus sign in the equations above which is due to the fact that and ref resp. ref

are now

independent. The normalized error values with respect to the RMO reference value for these

laboratories can be calculated in the usual way by means of ′ = ′/(2 (′)).

Bilateral DOEs ′ between laboratories and and their uncertainties (′) can now be

calculated using the vector = (0,… ,0,1,0,… ,0, −1,0,…0) T, whereby the 1 is at position and

the -1 is at position , in the following way:

′ = T ′ = ′ − ′ (14)

(′) = √ T ′ = √

2(′) + 2(′) − 2 (

′ ,

′ ), (15)

where (′, ′ ) denotes the covariance between ′ and ′, corresponding to entry (, ) from ′.

EURAMET.EM-K5.2018 Draft B Page 13 of 46

The bilateral DOEs have not been reported in this document, but are part of the digital supplement

(that is considered Appendix D of this report, not printed out in this document, but with a read-me as

Appendix B of this document).

5.6 CALCULATION OF THE TRAVELING STANDARD INSTABILITIES As overall (single) reported values from the PL for each loop the mean values of the = 5 repeated

measurements , and

, (1 ≤ ≤ 5) are used:

= 1

5 ∑ ,

5

=1

=

1

5 ∑

,

5

=1

The standard uncertainties TS = (

) and TS = (

) due to the instabilities of the traveling

standards are calculated from the standard deviation of the repeated measurements:

TS = √

1

4 ∑(

, − )

2 5

=1

TS = √

1

4 ∑( ,

− ) 2

5

=1

The resulting values for the standard uncertainty of TS and can be found in Table 6.

Table 6 - Calculated standard uncertainty and

for instrument instability per test point expressed in ppm.

Test point 120 V 5 A

PF = 1

120 V 5 A

0.5 lead

120 V 5 A

0 lead

120 V 5 A

0.5 lag

120 V 5 A

0 lag

240 V 5 A

PF = 1

240 V 5 A

0.5 lead

240 V 5 A

0 lead

240 V 5 A

0.5 lag

240 V 5 A

0 lag

TS [ppm] 2.4 1.4 1.2 1.8 0.9 2.8 1.2 1.2 1.7 0.7

TS [ppm] 0.6 0.7 1.1 0.2 0.4 1.4 0.9 0.7 1.0 0.6

In appendix A all measurement data is listed and plotted, including the repeated measurements by the

PTB. From these plots it becomes clear that no systematic drift is present, which has been confirmed

by a statistical test for the significance of the fitted slope.

5.7 LINKING PROCEDURE In order to link this RMO (Euramet) comparison to the worldwide CIPM (CCEM) comparison, the

results of the four linking laboratories LNE, PTB, RISE and VSL in both comparisons have been

considered. Let (CIPM)

denote the degree of equivalence of laboratory in the CIPM comparison

and its degree of equivalence in the RMO comparison after correction of ′ by means of the

linking procedure. In view of the mean zero measurement errors for all laboratories, and in the case

of consistent measurements, it should hold in particular for the DOEs of linking laboratories that

EURAMET.EM-K5.2018 Draft B Page 14 of 46

(CIPM)

≈ (16)

whereby inequality can be due to the uncertainties in all of the considered measurements as well as

the behaviour of the TSs. The goal of the linking procedure is to determine a linking correction ℓ that

can be used to compute linked DOEs for the laboratories not participating in the CIPM comparison

based on the RMO DOE ′. This will be done according to

= ′ + ℓ (17)

If the model including all reported and calculated uncertainties and assumed correlations

appropriately fits the data, the linking correction value ℓ will be insignificantly different from 0 in

view of its uncertainty. Still this DOE correction can be used to align the realized CIPM and RMO

DOEs as much as possible.

Note that equation (17) can also be interpreted as the computation of an updated reference value

for the RMO comparison, that is called in this report the ‘linked key comparison reference value’

(LKCRV), by writing

= ′ + ℓ = − ref + ℓ = − (ref − ℓ),

indicating that the LKCRV can be defined by

lkcrv = ref − ℓ (18)

such that = − lkcrv. This computation can be performed for both loop and .

Writing (CIPM)

= (CIPM)

− kcrv (CIPM)

and = − lkcrv, equation (16) can be transformed into

lkcrv ≈ kcrv (CIPM) −

(CIPM) +

showing that the estimate of the LKCRV does not depend on the RMO internal reference value ref.

The difference in all these formulations and possible definitions of a linking correction term is how

the contributions of the individual linking laboratories will be weighted when computing the overall

estimate of the link and its uncertainty.

In this report the linking correction ℓ has been defined by equation (17). Based on the measurement

results of each linking laboratory and equations (16) and (17) estimates ℓ of ℓ can be calculated by

means of

ℓ = (CIPM)

− ′ (19)

The evaluation of the uncertainties of the ℓ is more complicated than the calculation of the values

ℓ, as the underlying terms are correlated. Calling the (drift corrected) measurement data of the

CIPM comparison and its full uncertainty matrix and introducing

= ( ) and = (

(cov) (cov)

) ,

the correlations between the measurements in the CIPM and in the RMO comparison can now be

integrated by inserting appropriate covariance terms in the matrix in the submatrices indicated by

(cov). This has been done by means of the same procedure used for constructing above (and in

the CIPM analysis), using the same correlation coefficient from equation (3). By stacking all linear

EURAMET.EM-K5.2018 Draft B Page 15 of 46

transformations described in this report and similarly for the CIPM analysis, sensitivity matrices

(CIPM) and (RMO) can be calculated such that

(CIPM) = (CIPM) and ′ = (RMO)

Note that , and (CIPM) have all been made digitally available in the digital supplement to the

report of the CCEM-K5.2017 comparison which is related this Euramet.EM-K5.2018 comparison. Let

link (CIPM)

contain only the rows of (CIPM) that correspond to linking laboratories, and similarly for

link (RMO)

. By defining

link = ( link (CIPM)

0

0 link (RMO)

) and = ( 1 0 0 0 ⋱ 0 0 0 1

−1 0 0 0 ⋱ 0 0 0 −1

)

the vector containing the estimates ℓ and their associated covariance matrix can be computed

from

= link and = link link TT.

The uncertainty-weighted estimate of the linking correction ℓ of equation (17) and its uncertainty

(ℓ) can now be computed in a similar way as what was done in equations (12) and (13). However,

in order to assure that the computed uncertainty (ℓ) is not unrealistically low compared to the

observed dispersion of the ℓ, a chi-squared test of the consistency of the entries of in view of the

covariance matrix was performed at a 95 % confidence level. It was seen as inappropriate to

exclude any linking laboratory from contributing to the computation of the linking correction, as the

individual analyses of the CCEM and Euramet comparisons had not excluded any of these results

either. In the case of inconsistency, an additional uncertainty term ℓ was added to equation (17)

for the linking laboratories with an uncertainty just large enough to make the consistency test pass,

i.e.

= ′ + ℓ + ℓ (20)

The uncertainties 2(ℓ) have been chosen identical for each linking laboratory, which will be

called 2(ℓ). This procedure corresponds to adding a diagonal matrix with entries 2(ℓ) on

the diagonal to before calculating the weighted average. Denoting the vector with calculated

weights , it is found that

ℓ = T

2(ℓ) = T( + ) = T +

T = T + (

T)2(ℓ) = T + 2(ℓ̃)

where 2(ℓ̃) = (T)2(ℓ). The uncertainty (ℓ̃) is the uncertainty that is quadratically added

to the uncertainty of ℓ and it is roughly about a factor 2 smaller than the added uncertainty (ℓ) to

the results of the individual linking laboratories, which is due to the averaging effect of using four

linking laboratories. The uncertainty (ℓ̃) is also used in the uncertainty calculation of the LKCRV of

equation (18), i.e.:

2(lkcrv) = 2(ref − ℓ) + 2(ℓ̃) (21)

The points with increased linking uncertainty were: point 1 ((ℓ̃) = 2.1 ppm), point 4 ((ℓ̃) = 1.2

ppm), point 9 ((ℓ̃) = 1.1 ppm) and point 10 ((ℓ̃) = 0.04 ppm). The finally obtained values and

uncertainties of the linking value can be found in Table 7. Note that the absolute value of each linking

EURAMET.EM-K5.2018 Draft B Page 16 of 46

correction is smaller than twice its standard uncertainty which indicates that there is no significant

difference between the CIPM DOEs and the Euramet DOEs.

Table 7 - Linking values and their expanded uncertainties (k = 2) of the Euramet comparison with the CIPM comparison for each of the ten test points.

Test point

120 V 5 A

PF = 1

120 V 5 A

0.5 lead

120 V 5 A

0 lead

120 V 5 A

0.5 lag

120 V 5 A

0 lag

240 V 5 A

PF = 1

240 V 5 A

0.5 lead

240 V 5 A

0 lead

240 V 5 A

0.5 lag

240 V 5 A

0 lag

ℓ (2(ℓ))

-4.6 (6.3)

-1.3 (3.9)

1.1 (3.5)

-3.2 (4.7)

-1.1 (3.4)

-3.6 (4.5)

-2.2 (3.8)

2.4 (3.4)

-3.4 (4.4)

-1.2 (3.3)

Using a similar matrix-based approach as above, the uncertainty () of the linked DOE of

equation (20) can be computed in a way that respects all involved covariances, as well as the

calculated additional uncertainty (ℓ̃) of the link.

Finally, note that the linking procedure does not affect the value and uncertainty of the bilateral

DOEs between the RMO partners as the linking term ℓ does not affect the difference between DOEs.

Thus we have for the DOEs after linking

= ′

EURAMET.EM-K5.2018 Draft B Page 17 of 46

6 RESULTS OF THE COMPARISON

6.1 RMO REFERENCE VALUES AND LINKED KEY COMPARISON REFERENCE VALUE In Table 8 and Table 9, respectively, for each test point the linked key comparison reference values

lkcrv resp. lkcrv

with expanded uncertainty ( = 2), the RMO reference values ref and ref

with

expanded uncertainty ( = 2) and the reported values by each laboratory for loop resp. are

shown, together with the expanded combined uncertainty 2 () calculated using equations (3), (4),

(5) and (6) and the values in Table 7. Measurement results not contributing to the calculation of the

RMO reference value have been marked with an asterisk. Graphs with a visual representation of the

measured values and reported expanded laboratory uncertainties 2 can be found in appendix A.

Table 8 - LKCRV and RMO reference values and reported values with expanded combined uncertainties (k = 2) in parentheses for loop A. The results marked with an asterisk (*) have not contributed to the calculation of the RMO reference value.

Test point

Lab

120 V 5 A

PF = 1

120 V 5 A

0.5 lead

120 V 5 A

0 lead

120 V 5 A

0.5 lag

120 V 5 A

0 lag

240 V 5 A

PF = 1

240 V 5 A

0.5 lead

240 V 5 A

0 lead

240 V 5 A

0.5 lag

240 V 5A

0 lag

LKCRV-A 14.2 (7.4)

5.7 (5.1)

-0.9 (4.7)

7.2 (5.7)

-1.1 (4.6)

20.8 (6.0)

11.1 (5.1)

-1.8 (4.7)

11.5 (5.6)

-1.4 (4.6)

REF-A 9.6

(5.4) 4.4

(4.8) 0.3

(4.2) 4.0

(4.9) -2.2 (4.1)

17.1 (5.4)

8.9 (4.9)

0.5 (4.2)

8.1 (5.0)

-2.6 (4.2)

GUM -8.0

(53.2) -1.0

(32.1) 3.0

(32.1) -7.0

(32.2) -3.0

(32.1) 4.0

(53.3) 5.0

(32.1) 4.0

(32.1) -2.0

(32.2) -4.0

(32.0)

CMI 6.2

(24.5) 6.2

(14.3) 1.9

(8.5) 1.6

(14.5) -4.4 (8.4)

18.0 (24.7)

12.2 (14.2)

3.8 (8.5)

5.5 (14.4)

-6.0 (8.3)

SMU -1.5

(61.4) 2.8

(71.9) 4.2

(71.8) -4.9

(71.6) -5.6

(73.0) 11.7

(65.6) 8.9

(74.8) 4.4

(75.7) 1.6

(71.1) -5.8

(77.8)

BEV -5.5

(58.9) -0.0

(56.3) -4.1

(53.8) 0.5

(55.9) 1.7

(54.3) 6.6

(58.1) 6.4

(55.0) 3.6

(53.8) 3.0

(55.6) 11.4

(55.0)

INM 18.0

(54.2) 3.0

(58.1) -

16.0 (64.1)

- 21.0

(52.3) 12.0

(58.1) -

16.0 (52.1)

-

TUBITAK -8.7* (17.4)

-5.4 (14.0)

-0.1 (12.6)

-2.3 (14.2)

-0.5 (12.5)

5.7 (19.0)

4.5 (15.2)

2.4 (14.0)

-0.1 (15.4)

-3.6 (13.9)

PTB 10.6 (9.4)

3.4 (9.3)

-3.8 (9.2)

6.9 (9.3)

1.8 (9.2)

21.3 (9.5)

7.7 (9.2)

-5.4 (9.2)

13.9 (9.3)

3.5 (9.2)

SIQ -1.2

(25.4) -1.2

(25.2) 0.4

(25.1) -0.6

(25.3) -0.5

(25.1) 0.5

(25.6) -3.1

(25.1) -4.1

(25.1) 2.1

(25.2) 1.6

(25.0)

INRIM 1.6

(15.9) -0.8

(13.9) -0.1

(13.2) -0.4

(14.1) -2.7

(13.1) 11.9

(17.0) 7.2

(14.3) 3.2

(13.6) 2.8

(14.5) -5.5

(13.5)

BIM -15.8* (14.6)

32.8* (24.2)

2.2 (24.0)

-48.8* (24.3)

-12.8 (24.0)

-7.3* (15.2)

40.5* (24.3)

5.7 (24.2)

-48.1* (24.4)

-16.1 (24.1)

EIM 8.0

(117.1) 11.3

(107.6) 1.3

(103.6) -12.3

(106.7) -18.3

(103.6) 18.1

(116.8) 16.8

(107.5) 21.8

(104.3) -7.9

(107.2) -17.1

(104.9)

UMTS 4.1

(18.8) 3.3

(26.6) 4.4

(23.5) -1.5

(26.5) -0.3

(23.5) 2.5

(19.0) 2.4

(26.5) 3.7

(23.3) -0.4

(26.6) -2.0

(23.2)

EURAMET.EM-K5.2018 Draft B Page 18 of 46

Table 9 - LKCRV and RMO reference values and reported values with expanded combined uncertainties (k = 2) in parentheses for loop B. The results marked with an asterisk (*) have not contributed to the calculation of the RMO reference value.

Test point

Lab

120 V 5 A

PF = 1

120 V 5 A

0.5 lead

120 V 5 A

0 lead

120 V 5 A

0.5 lag

120 V 5 A

0 lag

240 V 5 A

PF = 1

240 V 5 A

0.5 lead

240 V 5 A

0 lead

240 V 5 A

0.5 lag

240 V 5A

0 lag

LKCRV-B 2.8 (6.1)

3.5 (3.7)

0.7 (3.4)

1.8 (4.4)

-2.4 (3.2)

2.6 (4.6)

2.9 (3.7)

-2.9 (3.3)

2.1 (4.4)

-0.9 (3.3)

REF-B -1.8 (3.8)

2.1 (3.9)

1.8 (3.5)

-1.4 (4.1)

-3.5 (3.4)

-1.0 (3.9)

0.6 (4.1)

-0.5 (3.4)

-1.3 (4.2)

-2.1 (3.4)

Trescal 27.0 (32.0)

29.0* (22.0)

18.0 (18.1)

-2.0 (23.0)

-21.0 (19.0)

27.0 (33.1)

30.0* (24.1)

13.0 (18.0)

1.0 (23.1)

-19.0 (18.0)

RISE 2.7 (11.1)

3.8 (10.1)

5.2 (10.2)

-0.5 (10.0)

-6.5 (10.0)

6.2 (11.3)

7.6 (10.1)

-6.2 (10.1)

0.4 (10.2)

-1.4 (10.1)

VTT -4.4 (6.1)

12.0 (11.1)

16.7* (13.2)

-16.7* (11.0)

-18.6* (13.0)

-1.5 (6.6)

15.8* (11.1)

19.0* (13.1)

-17.8* (11.2)

-21.1* (13.1)

Metrosert -7.2 (44.6)

-5.5 (23.9)

-4.4 (10.1)

-1.8 (23.9)

1.7 (9.9)

-5.2 (44.7)

-5.3 (24.0)

-5.9 (10.0)

0.6 (24.0)

3.3 (10.0)

VSL 5.0 (11.1)

3.0 (8.1)

0.0 (6.4)

3.0 (8.0)

-2.0 (6.0)

0.0 (11.3)

-2.0 (7.2)

-3.0 (6.1)

2.0 (8.2)

0.0 (6.1)

JV -8.5 (28.0)

1.0 (28.0)

5.6 (28.1)

-10.2 (28.0)

-8.9 (28.0)

-4.2 (32.1)

4.6 (32.0)

7.4 (32.0)

-9.5 (32.1)

-10.1 (32.0)

PTB -4.1 (9.2)

-2.4 (9.2)

-2.0 (9.2)

-1.6 (9.2)

0.0 (9.2)

-1.5 (9.2)

-2.4 (9.2)

-4.7 (9.2)

1.6 (9.2)

2.4 (9.2)

METAS 0.5 (15.1)

2.4 (15.1)

2.4 (15.2)

-2.2 (15.0)

-4.7 (15.0)

4.8 (15.2)

8.5 (15.1)

7.1 (15.1)

-4.0 (15.1)

-9.1 (15.0)

CEM -4.4 (49.0)

3.9 (44.2)

20.7 (42.1)

-2.5 (42.0)

20.6 (47.0)

-3.5 (49.2)

-4.4 (43.0)

9.5 (45.0)

4.2 (43.0)

41.1 (50.0)

LNE 6.0 (25.9)

4.0 (17.1)

0.1 (12.0)

2.3 (17.1)

-3.6 (11.9)

-2.7 (26.0)

3.4 (17.1)

3.1 (11.9)

0.1 (17.2)

-6.2 (11.9)

NPL 18.6 (25.9)

31.3 (40.7)

18.6 (21.0)

6.2 (40.7)

-15.3 (20.9)

3.7 (26.0)

30.7 (40.8)

18.9 (20.8)

-20.1 (40.8)

-30.5* (20.9)

6.2 DEGREES OF EQUIVALENCE WITH THE RMO REFERENCE VALUE For each test point and each laboratory, the degree of equivalence ′ with respect to the RMO

reference values is shown in Table 10. For PTB a combined DOE was calculated based on the two

DOEs for the two TSs.

Table 10 - DOEs with respect to the RMO reference values with expanded combined uncertainties (k = 2). The measurement results marked with an asterisk (*) have not contributed to the calculation of the RMO reference values.

Test point

Lab

120 V 5 A

PF = 1

120 V 5 A

0.5 lead

120 V 5 A

0 lead

120 V 5 A

0.5 lag

120 V 5 A

0 lag

240 V 5 A

PF = 1

240 V 5 A

0.5 lead

240 V 5 A

0 lead

240 V 5 A

0.5 lag

240 V 5A

0 lag

GUM -17.61 (52.93)

-5.36 (31.77)

2.74 (31.81)

-11.03 (31.83)

-0.79 (31.79)

-13.15 (53.02)

-3.85 (31.72)

3.46 (31.81)

-10.12 (31.79)

-1.36 (31.75)

CMI -3.45 (23.85)

1.81 (13.46)

1.64 (7.43)

-2.46 (13.62)

-2.23 (7.32)

0.82 (24.05)

3.31 (13.35)

3.26 (7.42)

-2.62 (13.50)

-3.36 (7.18)

SMU -11.16 (61.14)

-1.61 (71.70)

3.92 (71.72)

-8.92 (71.43)

-3.42 (72.91)

-5.47 (65.42)

0.01 (74.68)

3.89 (75.62)

-6.54 (70.90)

-3.14 (77.70)

BEV -15.09 (58.67)

-4.39 (56.10)

-4.32 (53.61)

-3.57 (55.70)

3.86 (54.14)

-10.50 (57.86)

-2.43 (54.82)

3.09 (53.63)

-5.08 (55.38)

14.05 (54.84)

INM 8.39 (53.93)

-1.36 (57.87)

- 11.97

(63.92) -

3.85 (52.03)

3.15 (57.85)

- 7.88

(51.87) -

TUBITAK -18.31* (18.20)

-9.76 (13.14)

-0.36 (11.91)

-6.33 (13.31)

1.71 (11.83)

-11.45 (18.17)

-4.35 (14.40)

1.86 (13.35)

-8.22 (14.54)

-0.96 (13.22)

EURAMET.EM-K5.2018 Draft B Page 19 of 46

Test point

Lab

120 V 5 A

PF = 1

120 V 5 A

0.5 lead

120 V 5 A

0 lead

120 V 5 A

0.5 lag

120 V 5 A

0 lag

240 V 5 A

PF = 1

240 V 5 A

0.5 lead

240 V 5 A

0 lead

240 V 5 A

0.5 lag

240 V 5A

0 lag

PTB 1.09 (7.67)

-1.76 (7.86)

-3.97 (8.12)

1.88 (7.84)

3.83 (8.12)

3.48 (7.81)

-1.52 (7.80)

-5.35 (8.11)

5.00 (7.80)

5.62 (8.10)

SIQ -10.81 (24.86)

-5.56 (24.70)

0.14 (24.76)

-4.63 (24.79)

1.71 (24.72)

-16.65 (25.05)

-11.95 (24.64)

-4.64 (24.76)

-6.02 (24.73)

4.24 (24.68)

INRIM -8.01 (14.91)

-5.11 (13.05)

-0.33 (12.54)

-4.38 (13.18)

-0.51 (12.48)

-5.25 (16.09)

-1.67 (13.48)

2.70 (12.97)

-5.32 (13.63)

-2.87 (12.83)

BIM -25.37* (15.61)

28.45* (24.64)

1.95 (23.63)

-52.80* (24.76)

-10.63 (23.59)

-24.44* (16.16)

31.67* (24.79)

5.11 (23.81)

-56.23* (24.89)

-13.42 (23.73)

EIM -1.62 (116.95)

6.96 (107.45)

0.99 (103.49)

-16.37 (106.57)

-16.07 (103.51)

0.98 (116.64)

7.99 (107.41)

21.21 (104.22)

-16.06 (107.06)

-14.45 (104.82)

UMTS -5.51 (18.00)

-1.06 (26.12)

4.14 (23.14)

-5.53 (26.00)

1.91 (23.11)

-14.65 (18.27)

-6.45 (26.06)

3.16 (22.94)

-8.52 (26.14)

0.64 (22.86)

Trescal 28.80 (31.80)

26.86* (22.39)

16.18 (17.80)

-0.61 (22.63)

-17.47 (18.71)

28.02 (32.88)

29.36* (24.40)

13.53 (17.72)

2.32 (22.70)

-16.93 (17.71)

RISE 4.54 (10.41)

1.69 (9.29)

3.37 (9.64)

0.88 (9.12)

-2.99 (9.44)

7.23 (10.64)

6.93 (9.29)

-5.65 (9.50)

1.71 (9.29)

0.67 (9.47)

VTT -2.62 (4.84)

9.86 (10.36)

14.93* (13.63)

-15.33* (11.75)

-15.09* (13.45)

-0.50 (5.31)

15.15* (11.86)

19.49* (13.50)

-16.45* (11.93)

-18.99* (13.50)

Metrosert -5.40 (44.46)

-7.64 (23.61)

-6.22 (9.53)

-0.41 (23.55)

5.23 (9.34)

-4.18 (44.51)

-5.94 (23.61)

-5.37 (9.39)

1.92 (23.61)

5.37 (9.36)

VSL 6.80 (10.41)

0.86 (7.10)

-1.82 (5.37)

4.39 (6.87)

1.53 (5.02)

1.02 (10.64)

-2.64 (5.93)

-2.47 (5.12)

3.32 (7.09)

2.07 (5.06)

JV -6.71 (27.78)

-1.17 (27.76)

3.75 (27.87)

-8.81 (27.70)

-5.39 (27.81)

-3.23 (31.88)

3.98 (31.78)

7.91 (31.85)

-8.22 (31.78)

-8.04 (31.84)

METAS 2.34 (14.58)

0.29 (14.54)

0.54 (14.76)

-0.85 (14.43)

-1.16 (14.64)

5.84 (14.74)

7.90 (14.53)

7.61 (14.67)

-2.70 (14.53)

-7.03 (14.65)

CEM -2.60 (48.90)

1.76 (44.02)

18.88 (41.91)

-1.11 (41.80)

24.13 (46.88)

-2.48 (49.07)

-5.04 (42.84)

10.03 (44.89)

5.52 (42.84)

43.17 (49.90)

LNE 7.81 (25.66)

1.85 (16.66)

-1.72 (11.54)

3.69 (16.56)

-0.08 (11.38)

-1.73 (25.75)

2.72 (16.65)

3.65 (11.42)

1.40 (16.65)

-4.12 (11.40)

NPL 20.45 (25.59)

29.12 (40.55)

16.74 (20.69)

7.62 (40.52)

-11.78 (20.65)

4.70 (25.68)

30.06 (40.55)

19.42 (20.57)

-18.81 (40.55)

-28.43* (21.15)

6.3 NORMALIZED DEGREES OF EQUIVALENCE WITH RESPECT TO RMO REFERENCE

VALUE The (signed) normalized degrees of equivalence with respect to the RMO reference value for all test

points and laboratories in both loops are shown in Table 11. The entries that have an absolute value

larger than 1 have been printed in bold. It turned out that these entries exactly correspond to those

who were earlier on excluded from contributing to the calculation of the RMO reference value.

Table 11 - Normalized errors per laboratory and test point. Normalized DOEs with absolute value greater than 1 have been printed in bold.

Test point

Lab

120 V 5 A

PF = 1

120 V 5 A

0.5 lead

120 V 5 A

0 lead

120 V 5 A

0.5 lag

120 V 5 A

0 lag

240 V 5 A

PF = 1

240 V 5 A

0.5 lead

240 V 5 A

0 lead

240 V 5 A

0.5 lag

240 V 5 A

0 lag

GUM -0.33 -0.17 0.09 -0.35 -0.02 -0.25 -0.12 0.11 -0.32 -0.04

CMI -0.14 0.13 0.22 -0.18 -0.30 0.03 0.25 0.44 -0.19 -0.47

SMU -0.18 -0.02 0.05 -0.12 -0.05 -0.08 0.00 0.05 -0.09 -0.04

BEV -0.26 -0.08 -0.08 -0.06 0.07 -0.18 -0.04 0.06 -0.09 0.26

EURAMET.EM-K5.2018 Draft B Page 20 of 46

Test point

Lab

120 V 5 A

PF = 1

120 V 5 A

0.5 lead

120 V 5 A

0 lead

120 V 5 A

0.5 lag

120 V 5 A

0 lag

240 V 5 A

PF = 1

240 V 5 A

0.5 lead

240 V 5 A

0 lead

240 V 5 A

0.5 lag

240 V 5 A

0 lag

INM 0.16 -0.02 - 0.19 - 0.07 0.05 - 0.15 -

TUBITAK -1.01 -0.74 -0.03 -0.48 0.14 -0.63 -0.30 0.14 -0.57 -0.07

PTB 0.14 -0.22 -0.49 0.24 0.47 0.44 -0.20 -0.66 0.64 0.69

SIQ -0.44 -0.23 0.01 -0.19 0.07 -0.66 -0.48 -0.19 -0.24 0.17

INRIM -0.54 -0.39 -0.03 -0.33 -0.04 -0.33 -0.12 0.21 -0.39 -0.22

BIM -1.63 1.15 0.08 -2.13 -0.45 -1.51 1.28 0.21 -2.26 -0.57

EIM -0.01 0.06 0.01 -0.15 -0.16 0.01 0.07 0.20 -0.15 -0.14

UMTS -0.31 -0.04 0.18 -0.21 0.08 -0.80 -0.25 0.14 -0.33 0.03

Trescal 0.91 1.20 0.91 -0.03 -0.93 0.85 1.20 0.76 0.10 -0.96

RISE 0.44 0.18 0.35 0.10 -0.32 0.68 0.75 -0.59 0.18 0.07

VTT -0.54 0.95 1.10 -1.30 -1.12 -0.10 1.28 1.44 -1.38 -1.41

Metrosert -0.12 -0.32 -0.65 -0.02 0.56 -0.09 -0.25 -0.57 0.08 0.57

VSL 0.65 0.12 -0.34 0.64 0.30 0.10 -0.45 -0.48 0.47 0.41

JV -0.24 -0.04 0.13 -0.32 -0.19 -0.10 0.13 0.25 -0.26 -0.25

METAS 0.16 0.02 0.04 -0.06 -0.08 0.40 0.54 0.52 -0.19 -0.48

CEM -0.05 0.04 0.45 -0.03 0.51 -0.05 -0.12 0.22 0.13 0.87

LNE 0.30 0.11 -0.15 0.22 -0.01 -0.07 0.16 0.32 0.08 -0.36

NPL 0.80 0.72 0.81 0.19 -0.57 0.18 0.74 0.94 -0.46 -1.34

6.4 DEGREES OF EQUIVALENCE WITH RESPECT TO THE LINKED KEY COMPARISON

REFERENCE VALUES For each test point and each laboratory, the degree of equivalence with respect to the linked

CCEM key comparison reference values is shown in Table 12. This also includes the four laboratories

that took part in the CCEM key comparison themselves. A plot of these results is shown in Figure 1.

Table 12 - DOEs with respect to the LKCRVs with expanded combined uncertainties (k = 2) per test point for all laboratories, including the laboratories that took part in the CCEM comparison.

Test point

Lab

120 V 5 A

PF = 1

120 V 5 A

0.5 lead

120 V 5 A

0 lead

120 V 5 A

0.5 lag

120 V 5 A

0 lag

240 V 5 A

PF = 1

240 V 5 A

0.5 lead

240 V 5 A

0 lead

240 V 5 A

0.5 lag

240 V 5A

0 lag

GUM -22.19 (53.45)

-6.68 (32.15)

3.87 (32.09)

-14.20 (32.32)

-1.94 (32.05)

-16.78 (53.37)

-6.10 (32.11)

5.84 (32.08)

-13.54 (32.26)

-2.58 (32.02)

CMI -8.03 (24.98)

0.48 (14.35)

2.77 (8.56)

-5.63 (14.72)

-3.38 (8.38)

-2.81 (24.80)

1.07 (14.26)

5.64 (8.51)

-6.04 (14.59)

-4.58 (8.30)

SMU -15.74 (61.59)

-2.93 (71.87)

5.05 (71.84)

-12.09 (71.64)

-4.57 (73.02)

-9.10 (65.70)

-2.24 (74.85)

6.27 (75.73)

-9.96 (71.12)

-4.36 (77.81)

BEV -19.67 (59.14)

-5.71 (56.32)

-3.19 (53.78)

-6.74 (55.98)

2.71 (54.30)

-14.13 (58.17)

-4.68 (55.05)

5.48 (53.79)

-8.50 (55.66)

12.84 (55.00)

INM 3.81 (54.44)

-2.68 (58.09)

- 8.80 (64.16)

- 0.22 (52.37)

0.90 (58.06)

- 4.46 (52.16)

-

TUBITAK -22.89 (18.88)

-11.08 (14.06)

0.77 (12.64)

-9.50 (14.43)

0.56 (12.52)

-15.08 (19.14)

-6.60 (15.24)

4.24 (13.99)

-11.64 (15.55)

-2.18 (13.86)

PTB -3.49 (9.60)

-3.09 (8.66)

-2.84 (8.65)

-1.29 (9.06)

2.68 (8.60)

-0.16 (8.63)

-3.77 (8.61)

-2.97 (8.59)

1.59 (8.95)

4.40 (8.58)

SIQ -15.39 (25.95)

-6.88 (25.20)

1.27 (25.12)

-7.80 (25.41)

0.56 (25.06)

-20.28 (25.77)

-14.20 (25.15)

-2.26 (25.10)

-9.44 (25.34)

3.02 (25.03)

EURAMET.EM-K5.2018 Draft B Page 21 of 46

Test point

Lab

120 V 5 A

PF = 1

120 V 5 A

0.5 lead

120 V 5 A

0 lead

120 V 5 A

0.5 lag

120 V 5 A

0 lag

240 V 5 A

PF = 1

240 V 5 A

0.5 lead

240 V 5 A

0 lead

240 V 5 A

0.5 lag

240 V 5A

0 lag

INRIM -12.59 (16.66)

-6.44 (13.97)

0.80 (13.25)

-7.55 (14.32)

-1.66 (13.13)

-8.88 (17.18)

-3.91 (14.38)

5.08 (13.62)

-8.73 (14.71)

-4.09 (13.49)

BIM -29.95 (16.41)

27.13 (24.70)

3.08 (24.01)

-55.97 (24.93)

-11.78 (23.94)

-28.07 (16.37)

29.42 (24.83)

7.49 (24.17)

-59.65 (25.03)

-14.64 (24.09)

EIM -6.20 (117.19)

5.64 (107.57)

2.12 (103.57)

-19.54 (106.71)

-17.22 (103.59)

-2.65 (116.79)

5.74 (107.52)

23.59 (104.30)

-19.48 (107.20)

-15.67 (104.91)

UMTS -10.09 (19.48)

-2.38 (26.59)

5.27 (23.53)

-8.70 (26.59)

0.76 (23.47)

-18.28 (19.24)

-8.70 (26.54)

5.54 (23.31)

-11.94 (26.72)

-0.58 (23.23)

Trescal 24.22 (32.55)

25.54 (22.35)

17.32 (18.38)

-3.79 (23.35)

-18.62 (19.23)

24.38 (33.35)

27.11 (24.34)

15.91 (18.29)

-1.09 (23.42)

-18.15 (18.28)

RISE -0.04 (11.01)

0.36 (9.31)

4.51 (9.54)

-2.29 (9.56)

-4.14 (9.40)

3.60 (10.25)

4.69 (9.34)

-3.26 (9.43)

-1.71 (9.61)

-0.55 (9.43)

VTT -7.20 (8.46)

8.54 (11.53)

16.06 (13.62)

-18.51 (11.86)

-16.24 (13.42)

-4.14 (7.70)

12.91 (11.72)

21.88 (13.48)

-19.87 (12.00)

-20.20 (13.47)

Metrosert -9.98 (45.00)

-8.96 (24.15)

-5.08 (10.58)

-3.59 (24.24)

4.08 (10.34)

-7.82 (44.86)

-8.19 (24.17)

-2.99 (10.42)

-1.49 (24.30)

4.15 (10.40)

VSL 2.22 (11.11)

-0.46 (7.49)

-0.68 (6.02)

1.21 (7.93)

0.38 (5.62)

-2.62 (10.15)

-4.89 (6.57)

-0.09 (5.54)

-0.09 (7.61)

0.85 (5.57)

JV -11.29 (28.63)

-2.49 (28.21)

4.89 (28.25)

-11.98 (28.29)

-6.53 (28.16)

-6.86 (32.36)

1.74 (32.20)

10.29 (32.16)

-11.64 (32.30)

-9.25 (32.16)

METAS -2.24 (16.14)

-1.04 (15.39)

1.68 (15.45)

-4.03 (15.54)

-2.30 (15.29)

2.21 (15.76)

5.66 (15.42)

9.99 (15.35)

-6.11 (15.63)

-8.25 (15.34)

CEM -7.18 (49.39)

0.44 (44.31)

20.02 (42.16)

-4.29 (42.19)

22.98 (47.09)

-6.12 (49.39)

-7.29 (43.15)

12.41 (45.12)

2.11 (43.22)

41.95 (50.10)

LNE 3.23 (25.74)

0.52 (16.69)

-0.59 (11.49)

0.52 (16.67)

-1.23 (11.37)

-5.36 (25.75)

0.47 (16.72)

6.04 (11.58)

-2.02 (16.83)

-5.34 (11.39)

NPL 15.86 (26.52)

27.79 (40.87)

17.88 (21.19)

4.45 (40.92)

-12.93 (21.12)

1.07 (26.28)

27.82 (40.88)

21.81 (21.06)

-22.22 (40.96)

-29.65 (21.13)

EURAMET.EM-K5.2018 Draft B Page 22 of 46

EURAMET.EM-K5.2018 Draft B Page 23 of 46

EURAMET.EM-K5.2018 Draft B Page 24 of 46

EURAMET.EM-K5.2018 Draft B Page 25 of 46

Figure 1: Degrees of equivalence with respect to the linked KCRV of the CCEM comparison. For the linking laboratories the

linked DOEs of the Euramet comparison are plotted with red circles, whereas the DOEs of the CCEM are printed with green

triangles and to the corresponding laboratory names an asterisk has been added. The dashed horizontal line corresponds to

the Euramet internal reference value.

6.5 NORMALIZED DEGREES OF EQUIVALENCE WITH RESPECT TO LINKED KEY

COMPARISON REFERENCE VALUE The (signed) normalized degrees of equivalence with respect to the linked key comparison reference

value for all test points and laboratories are shown in Table 13. This also includes the four

laboratories the took part in the CCEM comparison themselves. In comparison with Table 11, NPL has

obtained an additional result with absolute En-value larger than 1.

Table 13 - Normalized linked DOEs per test point for all laboratories, including the laboratories that took part in the CCEM comparison. Normalized linked DOEs with absolute value greater than 1 have been printed in bold.

Test point

Lab

120 V 5 A

PF = 1

120 V 5 A

0.5 lead

120 V 5 A

0 lead

120 V 5 A

0.5 lag

120 V 5 A

0 lag

240 V 5 A

PF = 1

240 V 5 A

0.5 lead

240 V 5 A

0 lead

240 V 5 A

0.5 lag

240 V 5 A

0 lag

GUM -0.42 -0.21 0.12 -0.44 -0.06 -0.31 -0.19 0.18 -0.42 -0.08

CMI -0.320.030.32 -0.38-0.40 -0.110.080.66 -0.41-0.55

SMU -0.26 -0.04 0.07 -0.17 -0.06 -0.14 -0.03 0.08 -0.14 -0.06

BEV -0.33 -0.10 -0.06 -0.12 0.05 -0.24 -0.08 0.10 -0.15 0.23

INM 0.07 -0.05 - 0.14 - 0.00 0.02 - 0.09 -

TUBITAK -1.21 -0.79 0.06 -0.66 0.04 -0.79 -0.43 0.30 -0.75 -0.16

PTB -0.36 -0.36 -0.33 -0.14 0.31 -0.02 -0.44 -0.35 0.18 0.51

SIQ -0.59 -0.27 0.05 -0.31 0.02 -0.79 -0.56 -0.09 -0.37 0.12

INRIM -0.76 -0.46 0.06 -0.53 -0.13 -0.52 -0.27 0.37 -0.59 -0.30

BIM -1.83 1.10 0.13 -2.24 -0.49 -1.71 1.19 0.31 -2.38 -0.61

EIM -0.05 0.05 0.02 -0.18 -0.17 -0.02 0.05 0.23 -0.18 -0.15

UMTS -0.52 -0.09 0.22 -0.33 0.03 -0.95 -0.33 0.24-0.45 -0.03

Trescal 0.74 1.14 0.94 -0.16 -0.97 0.73 1.11 0.87-0.05 -0.99

RISE -0.00 0.04 0.47 -0.24 -0.44 0.35 0.50 -0.35 -0.18 -0.06

VTT -0.850.74 1.18 -1.56 -1.21 -0.54 1.10 1.62 -1.66 -1.50

Metrosert -0.22 -0.37-0.48 -0.15 0.39 -0.17 -0.34-0.29 -0.06 0.40

EURAMET.EM-K5.2018 Draft B Page 26 of 46

Test point

Lab

120 V 5 A

PF = 1

120 V 5 A

0.5 lead

120 V 5 A

0 lead

120 V 5 A

0.5 lag

120 V 5 A

0 lag

240 V 5 A

PF = 1

240 V 5 A

0.5 lead

240 V 5 A

0 lead

240 V 5 A

0.5 lag

240 V 5 A

0 lag

VSL 0.20 -0.06 -0.11 0.15 0.07 -0.26 -0.74 -0.02 -0.01 0.15

JV -0.39-0.09 0.17-0.42-0.23-0.21 0.050.32-0.36-0.29

METAS-0.14 -0.070.11 -0.26 -0.15 0.14 0.370.65 -0.39 -0.54

CEM -0.15 0.01 0.47 -0.10 0.49 -0.12 -0.17 0.28 0.05 0.84

LNE 0.13 0.03 -0.05 0.03 -0.11 -0.21 0.03 0.52 -0.12 -0.47

NPL 0.60 0.68 0.840.11-0.610.04 0.68 1.04 -0.54 -1.40

6.6 FURTHER ANALYSES Some further analyses have been performed that have not been described in detail in this report.

A check has been performed regarding correlation between the reported calibration error and the

realized value of the nominal quantities specifying each test point (voltage amplitude, current

amplitude, phase difference, frequency) resp. the realized ambient conditions (temperature,

pressure). No significant correlation has been found, indicating that the error of the travelling

standards is not sensitive to small variations of the test point and to fluctuations of the ambient

conditions.

When combining the two DOEs of PTB it has been verified if the individual DOEs are consistent in

view of the assumed uncertainties and correlation. This turned out to be the case except for test

point 2 and test point 6. It was not possible to find the root cause for this small inconsistency, and no

action was taken.

EURAMET.EM-K5.2018 Draft B Page 27 of 46

7 COMMENTS ON SPECIFIC NMI RESULTS

The comments in sections 7.1 and 7.2 were provided by BIM and Trescal, respectively.

7.1 BIM RESULTS After the Draft A report was distributed to the participants, BIM has performed an extensive

evaluation of the comparison results. For the purpose of this comparison an Excel file was used

especially prepared for calculation of the comparison results. We found an incorrect formula in the

Excel file (from 2020), were the reference value and the measured value were swapped. After the

corrections were made, we calculated the corresponding values of En and found that part of our new

results are in line with the LCKRV results for the instrument/traveling standard RD 207172 that we

measured. However, for some results the uncertainty was increased from 24 to 35 ppm in order to

obtain En values smaller than 1. As a result of participating in the comparison for PF = 0.5 lead/lag,

the uncertainty of our CMCs registered in KCDB will be increased by 10 ppm.

LKCRV and RMO reference values and reported values with expanded combined uncertainties (k = 2)

Test point

Lab

120 V 5 A

PF = 1

120 V 5 A

0.5 lead

120 V 5 A

0 lead

120 V 5 A

0.5 lag

120 V 5 A

0 lag

240 V 5 A

PF = 1

240 V 5 A

0.5 lead

240 V 5 A

0 lead

240 V 5 A

0.5 lag

240 V 5A

0 lag

LKCRV-A 14.2 (7.4)

5.7 (5.1)

-0.9 (4.7)

7.2 (5.7)

-1.1 (4.6)

20.8 (6.0)

11.1 (5.1)

-1.8 (4.7)

11.5 (5.6)

-1.4 (4.6)

BIM 15 (14)

-19 (35)

-7 (24)

+38 (35)

-13 (24)

18 (14)

-22 (35)

6 (24)

44 (35)

-9 (24)

DOEs with respect to the LKCRVs with expanded combined uncertainties (k = 2) per test point

Test point

Lab

120 V 5 A

PF = 1

120 V 5 A

0.5 lead

120 V 5 A

0 lead

120 V 5 A

0.5 lag

120 V 5 A

0 lag

240 V 5 A

PF = 1

240 V 5 A

0.5 lead

240 V 5 A

0 lead

240 V 5 A

0.5 lag

240 V 5A

0 lag BIM 0.8

(15.8) -24.7 (35.4)

-6.2 (24.5)

30.8 (35.5)

-11.9 (24.4)

-2.7 (15.2)

-33.1 (35.4)

7.9 (24.5)

32.5 (35.5)

-7.6 (24.4)

Normalized linked DOEs per test point

Test point

Lab

120 V 5 A

PF = 1

120 V 5 A

0.5 lead

120 V 5 A

0 lead

120 V 5 A

0.5 lag

120 V 5 A

0 lag

240 V 5 A

PF = 1

240 V 5 A

0.5 lead

240 V 5 A

0 lead

240 V 5 A

0.5 lag

240 V 5A

0 lag BIM 0.05 -0.70 -0.25 0.87 -0.49 -0.18 -0.94 0.32 0.92 -0.31

These results allow us to verify the measurement capabilities of BIM at a significantly better level

than the official comparison.

7.2 TRESCAL RESULTS As our results are not in good agreement with the majority of the participants, we have tried to

identify some possible sources for this:

1. At the end our report we added the following note:

“3) Shortly after the completion of the intercomparison measurements and after the travelling

standard was sent to the next participant, an issue with the Fluke 52120A current amplifier was

observed. During a final check a change in output was detected depending on the presence or

EURAMET.EM-K5.2018 Draft B Page 28 of 46

absence of a Low to Ground connection on the amplifier. This prompted a correction of –19 ppm

of all 5 A reference current measurements, and this is included in all the reported measurement

results. For reasons unknown later measurements failed to reproduce this rather large

difference. This and the fact that the travelling standard had already been sent to the next

participant means that it is not entirely clear whether this issue was significant during the time

of the intercomparison measurements.

This has not changed, so we have recalculated all measurement results by removing the

correction of –19 ppm.

2. In our report we stated that the influence of the asymmetric nature of the set-up due to the

current Tee could be neglected at low frequencies. We have now put this to the test by

investigating the influence of our current Tee on the phase by using two NI PXI-5922 digitizers in

differential mode. Each side of the current Tee is measured independently against a reference

signal (voltage channel), with the side of the current Tee not used shorted. The result of this is a

difference between the high and the low side of the current Tee of –0.00008° at 53 Hz, which is

a correction to be added to the reference phase measurements.

3. With the same set-up a further possible influence, not previously considered, was investigated

by connecting the SP 120 V and 240 V resistive voltage dividers to the voltage channel as well,

including the capacitive loads and the NMIA buffer amplifiers. In this case the low side of the

current Tee was measured both with and without the dividers connected. The result is a

correction of –0.00014° with the 120 V divider and –0.00009° with the 240 V divider, also to be

added to the reference phase measurements.

Both measurement results and uncertainties have been recalculated by applying these corrections,

and an uncertainty component of ±0.0003° due to the influence on phase has also been added.

The results of these corrections are shown in the table below as “Reevaluated” next to the original

“Reported” numbers.

Nominal set points Results: Reported / Reevaluated

Voltage Current Power Factor

Phase Angle

Frequency Error Value Expanded Uncertainty

V A deg Hz µW/VA µW/VA

120 5 1 0 53 27 / 8 32 / 32

120 5 0,5 lead 60 53 29 / 17 22 / 24

120 5 0 lead 90 53 18 / 15 18 / 20

120 5 0,5 lag -60 53 -2 / -8 23 / 24

120 5 0 lag -90 53 -21 / -17 19 / 20

240 5 1 0 53 27 / 8 33 / 33

240 5 0,5 lead 60 53 30 / 18 24 / 24

240 5 0 lead 90 53 13 / 10 18 / 19

240 5 0,5 lag -60 53 1 / -6 23 / 24

240 5 0 lag -90 53 -19 / -16 18 / 19

EURAMET.EM-K5.2018 Draft B Page 29 of 46

8 DISCUSSION AND SUMMARY

In this comparison two standards for power measurement have been circulated in two parallel loops.

In loop , 12 laboratories participated, whereas 11 laboratories participated in loop . Each

participant calibrated the standard at 10 test points and the results were reported to VSL. PTB

participated in both loops and measured the standards five times in order to assess the stability of

the standards. The standards turned out to possess no systematic drift. Random standard

uncertainties due to instrument instability were determined in the range of 0.2 to 2.8 ppm,

depending on the test point and the standard. The laboratory uncertainty of the PL was assumed to

be substantially correlated and this was used to connect both loops to each other.

The comparison results were linked to the CIPM comparison results by means of the results of four

laboratories participating in both comparisons. Both RMO reference values, RMO degrees of

equivalence and normalized RMO degrees of equivalence, as well as linked key comparison reference

values, linked degrees of equivalence and normalized linked degrees of equivalence were calculated.

In the calculation of the RMO reference results, provided measurement results with an absolute

value of the normalized error exceeding 1 were excluded from contributing to the RMO reference

value in an iterative way. It turned out that 17 of the 22 laboratories were fully consistent with each

other for all 10 test points.

Linking the RMO results to the CIPM comparison results did not significantly change the

observations. Due to small changes in calculated En-values, one laboratory obtained an additional

test point with absolute En-value larger than 1.

9 REFERENCES

[1] CCEM Guidelines for Planning, Organizing, Conducting and Reporting Key, Supplementary and

Pilot Comparisons. CCEM, 21 March 2007

[2] M G Cox, The evaluation of key comparison data, Metrologia 39, 589, 2002

[3] L Nielsen, Evaluation of measurement intercomparisons by the method of least squares, DFM

Technical Report, 2000, DOI: 10.13140/RG.2.2.12239.02728

[4] ISO/IEC 17043:2010, Conformity assessment - General requirements for proficiency testing,

Switzerland, 2010

EURAMET.EM-K5.2018 Draft B Page 30 of 46

APPENDIX A: REPORTED MEASUREMENT VALUES

In Table 14 and Table 15 the reported values and reported expanded uncertainties 2 are shown

for loop and loop , whereas a graphical representation is presented in Figures 2 and 3.

Table 14 - Reported measurement values with reported expanded uncertainties (k = 2) for loop A.

Laboratory name

Approximate measurement date

120 V 5 A

PF = 1

120 V 5 A

0.5 lead

120 V 5 A

0 lead

120 V 5 A

0.5 lag

120 V 5 A

0 lag

240 V 5 A

PF = 1

240 V 5 A

0.5 lead

240 V 5 A

0 lead

240 V 5 A

0.5 lag

240 V 5 A

0 lag

PTB-1 30-1-2019 10.2

(10.0) 2.3

(10.0) -5.2

(10.0) 8.2

(10.0) 3.1

(10.0) 21.6

(10.0) 7.0

(10.0) -6.7

(10.0) 15.0

(10.0) 4.5

(10.0)

GUM 8-2-2019 -8.0

(53.0) -1.0

(32.0) 3.0

(32.0) -7.0

(32.0) -3.0

(32.0) 4.0

(53.0) 5.0

(32.0) 4.0

(32.0) -2.0

(32.0) -4.0

(32.0)

PTB-2 7-3-2019 6.8

(10.0) 1.5

(10.0) -2.4

(10.0) 3.8

(10.0) 1.3

(10.0) 16.5

(10.0) 5.9

(10.0) -3.7

(10.0) 11.6

(10.0) 3.2

(10.0)

CMI 3-4-2019 6.2

(24.0) 6.2

(14.0) 1.9 (8.2)

1.6 (14.0)

-4.4 (8.2)

18.0 (24.0)

12.2 (14.0)

3.8 (8.2) 5.5

(14.0) -6.0 (8.2)

SMU 26-4-2019 -1.5

(61.2) 2.8

(71.8) 4.2

(71.8) -4.9

(71.5) -5.6

(73.0) 11.7

(65.4) 8.9

(74.8) 4.4

(75.7) 1.6

(71.0) -5.8

(77.8)

BEV 5-6-2019 -5.5

(58.7) -0.0

(56.2) -4.1

(53.7) 0.5

(55.8) 1.7

(54.3) 6.6

(57.8) 6.4

(55.0) 3.6

(53.7) 3.0

(55.5) 11.4

(55.0)

INM 1-8-2019 18.0

(54.0) 3.0

(58.0) -

16.0 (64.0)

- 21.0

(52.0) 12.0

(58.0) -

16.0 (52.0)

-

PTB-3 18-9-2019 11.8

(10.0) 4.6

(10.0) -3.5

(10.0) 7.2

(10.0) 1.2

(10.0) 22.4

(10.0) 8.6

(10.0) -5.0

(10.0) 13.2

(10.0) 3.0

(10.0)

TUBITAK 13-11-2019 -8.7

(16.7) -5.4

(13.7) -0.1

(12.4) -2.3

(13.7) -0.5

(12.4) 5.7

(18.1) 4.5

(15.0) 2.4

(13.8) -0.1

(15.0) -3.6

(13.8)

SIQ 14-1-2020 -1.2

(25.0) -1.2

(25.0) 0.4

(25.0) -0.6

(25.0) -0.5

(25.0) 0.5

(25.0) -3.1

(25.0) -4.1

(25.0) 2.1

(25.0) 1.6

(25.0)

INRIM 20-2-2020 1.6

(15.1) -0.8

(13.6) -0.1

(13.0) -0.4

(13.6) -2.7

(13.0) 11.9

(16.0) 7.2

(14.1) 3.2

(13.4) 2.8

(14.1) -5.5

(13.4)

BIM 27-5-2020 -15.8 (13.8)

32.8 (24.0)

2.2 (23.9)

-48.8 (24.0)

-12.8 (23.9)

-7.3 (14.2)

40.5 (24.2)

5.7 (24.1)

-48.1 (24.2)

-16.1 (24.1)

EIM 29-6-2020 8.0

(117.0) 11.3

(107.5) 1.3

(103.5) -12.3

(106.6) -18.3

(103.6) 18.1

(116.6) 16.8

(107.5) 21.8

(104.3) -7.9

(107.1) -17.1

(104.9)

PTB-4 12-8-2020 11.2

(10.0) 4.3

(10.0) -3.1

(10.0) 6.7

(10.0) 0.9

(10.0) 22.6

(10.0) 8.5

(10.0) -5.1

(10.0) 13.8

(10.0) 2.9

(10.0)

UMTS 29-11-2020 4.1

(18.2) 3.3

(26.4) 4.4

(23.4) -1.5

(26.2) -0.3

(23.4) 2.5

(18.2) 2.4

(26.4) 3.7

(23.2) -0.4

(26.4) -2.0

(23.2)

PTB-5 5-1-2021 13.2

(10.0) 4.5

(10.0) -4.7

(10.0) 8.5

(10.0) 2.3

(10.0) 23.6

(10.0) 8.6

(10.0) -6.3

(10.0) 15.8

(10.0) 3.9

(10.0)

Table 15 - Reported measurement values with reported expanded uncertainties (k = 2) for loop B.

Laboratory name

Approximate measurement date

120 V 5 A

PF = 1

120 V 5 A

0.5 lead

120 V 5 A

0 lead

120 V 5 A

0.5 lag

120 V 5 A

0 lag

240 V 5 A

PF = 1

240 V 5 A

0.5 lead

240 V 5 A

0 lead

240 V 5 A

0.5 lag

240 V 5 A

0 lag

PTB-1 30-1-2019 -4.5

(10.0) -2.5

(10.0) -2.8

(10.0) -1.5

(10.0) 0.4

(10.0) -0.5

(10.0) -2.8

(10.0) -5.5

(10.0) 2.5

(10.0) 3.1

(10.0)

Trescal 4-3-2019 27.0

(32.0) 29.0

(22.0) 18.0

(18.0) -2.0

(23.0) -21.0 (19.0)

27.0 (33.0)

30.0 (24.0)

13.0 (18.0)

1.0 (23.0)

-19.0 (18.0)

PTB-2 13-3-2019 -4.3

(10.0) -3.2

(10.0) -0.3

(10.0) -1.6

(10.0) -0.1

(10.0) -2.7

(10.0) -2.6

(10.0) -4.5

(10.0) -0.1

(10.0) 2.0

(10.0)

RISE 5-4-2019 2.7

(11.0) 3.8

(10.0) 5.2

(10.0) -0.5

(10.0) -6.5

(10.0) 6.2

(11.0) 7.6

(10.0) -6.2

(10.0) 0.4

(10.0) -1.4

(10.0)

VTT 23-5-2019 -4.4 (6.0)

12.0 (11.0)

16.7 (13.0)

-16.7 (11.0)

-18.6 (13.0)

-1.5 (6.0)

15.8 (11.0)

19.0 (13.0)

-17.8 (11.0)

-21.1 (13.0)

Metrosert 7-6-2019 -7.2

(44.6) -5.5

(23.9) -4.4 (9.9)

-1.8 (23.9)

1.7 (9.9)

-5.2 (44.6)

-5.3 (23.9)

-5.9 (9.9)

0.6 (23.9)

3.3 (9.9)

EURAMET.EM-K5.2018 Draft B Page 31 of 46

Laboratory name

Approximate measurement date

120 V 5 A

PF = 1

120 V 5 A

0.5 lead

120 V 5 A

0 lead

120 V 5 A

0.5 lag

120 V 5 A

0 lag

240 V 5 A

PF = 1

240 V 5 A

0.5 lead

240 V 5 A

0 lead

240 V 5 A

0.5 lag

240 V 5 A

0 lag

VSL 4-8-2019 5.0

(11.0) 3.0

(8.0) 0.0

(6.0) 3.0

(8.0) -2.0 (6.0)

0.0 (11.0)

-2.0 (7.0)

-3.0 (6.0)

2.0 (8.0)

0.0 (6.0)

PTB-3 18-9-2019 -4.5

(10.0) -2.6

(10.0) -2.7

(10.0) -1.6

(10.0) 0.1

(10.0) -3.2

(10.0) -2.9

(10.0) -4.8

(10.0) 1.7

(10.0) 2.6

(10.0)

JV 27-11-2019 -8.5

(28.0) 1.0

(28.0) 5.6

(28.0) -10.2 (28.0)

-8.9 (28.0)

-4.2 (32.0)

4.6 (32.0)

7.4 (32.0)

-9.5 (32.0)

-10.1 (32.0)

METAS 15-3-2020 0.5

(15.0) 2.4

(15.0) 2.4

(15.0) -2.2

(15.0) -4.7

(15.0) 4.8

(15.0) 8.5

(15.0) 7.1

(15.0) -4.0

(15.0) -9.1

(15.0)

CEM 13-6-2020 -4.4

(49.0) 3.9

(44.2) 20.7

(42.0) -2.5

(42.0) 20.6

(47.0) -3.5

(49.2) -4.4

(43.0) 9.5

(45.0) 4.2

(43.0) 41.1

(50.0)

LNE 22-7-2020 6.0

(25.9) 4.0

(17.1) 0.1

(11.8) 2.3

(17.1) -3.6

(11.8) -2.7

(25.9) 3.4

(17.1) 3.1

(11.8) 0.1

(17.1) -6.2

(11.8)

PTB-4 18-8-2020 -3.0

(10.0) -1.3

(10.0) -1.5

(10.0) -1.9

(10.0) -0.6

(10.0) -0.3

(10.0) -0.9

(10.0) -3.6

(10.0) 1.6

(10.0) 1.6

(10.0)

NPL 9-11-2020 18.6

(25.8) 31.3

(40.7) 18.6

(20.9) 6.2

(40.7) -15.3 (20.9)

3.7 (25.8)

30.7 (40.7)

18.9 (20.8)

-20.1 (40.7)

-30.5 (20.8)

PTB-5 2-12-2020 -4.1

(10.0) -2.5

(10.0) -2.8

(10.0) -1.5

(10.0) 0.2

(10.0) -0.8

(10.0) -2.9

(10.0) -4.9

(10.0) 2.0

(10.0) 2.7

(10.0)

EURAMET.EM-K5.2018 Draft B Page 32 of 46

EURAMET.EM-K5.2018 Draft B Page 33 of 46

EURAMET.EM-K5.2018 Draft B Page 34 of 46

EURAMET.EM-K5.2018 Draft B Page 35 of 46

EURAMET.EM-K5.2018 Draft B Page 36 of 46

Figure 2: Plot of the measurement results with expanded uncertainties (k = 2) as provided by the laboratories for loop A.

EURAMET.EM-K5.2018 Draft B Page 37 of 46

EURAMET.EM-K5.2018 Draft B Page 38 of 46

EURAMET.EM-K5.2018 Draft B Page 39 of 46

EURAMET.EM-K5.2018 Draft B Page 40 of 46

EURAMET.EM-K5.2018 Draft B Page 41 of 46

EURAMET.EM-K5.2018 Draft B Page 42 of 46

Figure 3: Plot of the measurement results with expanded uncertainties (k = 2) as provided by the laboratories for loop B.

EURAMET.EM-K5.2018 Draft B Page 43 of 46

APPENDIX B: READ-ME FILE TO DIGITAL SUPPLEMENT

In order to facilitate further analysis and uptake of the intercomparison measurement data and

computed results, the main parts of this analysis have been made available in the form of a digital,

machine-readable supplement. The main data structures of interest have been encoded in JSON

format which is available in the form of .json file as supplementary file. This also includes the bilateral

degrees of equivalence ′ and the uncertainties (′) which have not been presented in this

report. The values of ′ are stored in the variable Calc.bildoe_per_lab_lab_pnt, whereas the values

of (′) are stored in the variable Calc.ubildoe_per_lab_lab_pnt. As the linking procedure only

adds a constant term ℓ to all RMO degrees of equivalence ′, there is no difference between RMO

degrees of equivalence ′ = ′ − ′ and the linked degrees of equivalence = − .

Furthermore, the full covariance matrices of the corrected measurement results and of the DoEs are

given as well as matrices with sensitivity coefficients, which can be of use when linking

complementary comparisons to this regional (RMO) comparison.

The data structure is split into three parts:

• ‘Gen’ contains some general variables;

• ‘Stab’ contains the measurement results of the stability measurements;

• ‘Meas’ contains the provided measurement results by the participating laboratories;

• ‘Calc’ contains the computed results as explained in the main part of this document.

• ‘Link’ contains an additional set of computed results as explained in the main part of this

document.

A detailed explanation of all variable names contained in the digital supplement can be found in

Table 16.

Table 16: Explanation of the variable names contained in the digital supplement

Variable name Explanation Reference in report

General variables (Gen)

• n_pnts Number of test points (= 10) Table 2

• n_labs Number of participating laboratories (= 22, PTB is counted once)

Table 3and Table 4

• n_ts Number of travelling standards (= 2) Section 3.1

• meas_pnt_defs_per_pnt Definition of test points Table 2

• laboratory_name_per_lab Names of the participating laboratories Table 3and Table 4

• extended_laboratory_name_ per_labext

Names of the participating laboratories with an additional postfix -A or -B depending on the travelling standard being reported on

Table 3and Table 4

• rho_measurement_uncertainty Assumed correlation coefficient between provided measurement results by the same laboratory for the same nominal quantity (= 0.8)

Equation (3)

Stability measurement data (Stab)

EURAMET.EM-K5.2018 Draft B Page 44 of 46

Variable name Explanation Reference in report

• lab_nameThe name of the laboratory performing the stability measurements (= PTB)

Section 2

• date_per_rep_ts_pnt The measurement dates of the stability measurements for each repeated measurement, traveling standard and test point

Table 14 and Table 15

• y_per_rep_ts_pnt The measured values of the stability measurements

Table 14 and Table 15

• uy_per_rep_ts_pnt The standard uncertainties of the stability measurements

Table 14 and Table 15

Provided measurement data (Meas)

• date_per_labext_pntMatrix containing the measurement dates for each laboratory (with postfixes -A and -B) and each test point

Table 14 and Table 15

• y_per_labext_pnt Matrix containing the provided measurement values for each laboratory (with postfix -A or -B) and each test point

Table 14 and Table 15

• uy_per_labext_pnt Matrix containing the provided standard uncertainty for each laboratory (with postfix -A or -B) and each test point

Table 14 and Table 15

Calculated results (Calc)

• ycor_per_labext_pnt Measured values after correction for drift per laboratory and test point. Identical to y_per_labext_pnt in this comparison.

Not applicable

• vycor_per_labext_labext_pnt Covariance matrix with squared standard uncertainties of the provided values augmented with TS uncertainty for each pair of laboratories per test point.

Equation (9)

• ref_per_ts_pnt Matrix containing the computed REFs for each of the TSs for each test point

ref

• vref_per_ts_ts_pnt 3D-matrix whereby each 2D-slice (per test point, 3rd dimension) contains the covariance matrix of the computed REFs for each pair of TSs

ref

• sens_ref_ycor_per_ts_labext_pnt 3D-matrix whereby each 2D-slice (per test point, 3rd dimension) contains the sensitivity coefficients or weights for each of the REFs w.r.t. each of the provided measurement values

formula for

ref

• rdoe_ts_per_labext_pnt Matrix containing the RDOEs before merging for each laboratory (with postfix -A or -B) and for each test point

Equation

(10) and

(11)

• vrdoe_ts_per_labext_labext_pnt 3D-matrix whereby each 2D-slice (per test point, 3rd dimension) contains the covariance matrix of the RDOEs for each pair of laboratories (with postfix -A or -B)

′

EURAMET.EM-K5.2018 Draft B Page 45 of 46

Variable name Explanation Reference in report

• sens_rdoe_ts_per_labext_labext_pnt 3D-matrix whereby each 2D-slice (per test point, 3rd dimension) contains the sensitivity coefficients of the RDOE for each of the laboratories w.r.t. each of the provided measurement values

Based on calculations for ′

• rdoe_per_lab_pnt Matrix containing the merged RDOEs for each laboratory (only relevant for PTB)

Equation

(13)

• urdoe_per_lab_pnt Standard uncertainties of the merged RDOEs per laboratory and test point

(′) and Equation (12)

• vrdoe_per_lab_lab_pnt 3D-matrix whereby each 2D-slice (per test point, 3rd dimension) contains the covariance matrix of the merged RDOEs for each pair of laboratories (only relevant for PTB)

modified version of

′

• sens_rdoe_ycor_per_lab_labext_pnt 3D-matrix whereby each 2D-slice (per test point, 3rd dimension) contains the sensitivity coefficients of the RDOE for each of the laboratories w.r.t. each of the provided measurement values (only relevant/ different for PTB)

Based on calculations for ′

• bilrdoe_per_lab_lab_pnt 3D-matrix whereby each 2D-slice (per test point, 3rd dimension) contains the bilateral DOEs for each pair of laboratories

Equation

(14)

• ubilrdoe_per_lab_lab_pnt 3D-matrix whereby each 2D-slice (per test point, 3rd dimension) contains the standard uncertainty of the bilateral DoEs for each pair of laboratories

Equation

(15)

Calculated results w.r.t. linking (Link)

• link_per_pnt value of the link between the RMO REF value and the CIPM KCRV per test point

ℓ

• ulink_per_pnt uncertainty of the link between the RMO REF value and the CIPM KCRV per test point

(ℓ)

• ylkcrv_per_ts_pnt LKCRV: updated reference value of the RMO comparison after linking with the CIPM comparison per TS and per test point

Equation (18)

• uylkcrv_per_ts_pnt standard uncertainty of the LKCRV Equation (21)

• ldoe_per_lab_pnt Matrix containing the DOEs for each laboratory after linking with the CIPM key comparison

Equation (17)

• uldoe_per_lab_pnt Matrix containing the standard uncertainty of the DOEs for each laboratory after linking with the CIPM key comparison

()

• vldoe_per_lab_lab_pnt 3D-matrix whereby each 2D-slice (per test point, 3rd dimension) contains the covariance matrix of the linked DOEs for each pair of laboratories after linking with the CIPM key comparison

EURAMET.EM-K5.2018 Draft B Page 46 of 46

APPENDIX C: PARTICIPANT REPORTS

1

Elektrilise võimsuse mõõtühiku riigietaloni jälgitavusahel, mõõte- ja abivahendeid ning etalone iseloomustavate metroloogiliste parameetrite,

laboriruumi ja personali kirjeldus

Sisukord 1. Sissejuhatus .............................................................................................................................. 2

2. Mõisted .................................................................................................................................... 2

3. Mõõte- ja abivahendid............................................................................................................... 3

4. Jälgitavusahel............................................................................................................................ 5

5. Mõõtevõime ............................................................................................................................. 5

6. Etaloni metroloogilisi omadusi tõendavad dokumendid ............................................................... 6

7. Laboriruum ............................................................................................................................... 6

8. Riigietaloni säilitamisega ja kasutamisega seotud personal........................................................... 7

9. Riigietaloni säilitamise ja kasutamise tasuvusanalüüs................................................................... 8

2

1. Sissejuhatus

Elektrilise võimsuse täpne ja usaldusväärne mõõtmine on muutunud üha olulisemaks olukorras, kus

elektrivõrk koosneb erinevatest ja erinevatel tingimustel töötavatest tootmisüksustest ja kus

traditsioonilistele tootmisvõimsustele on lisandunud taastuvenergia tootmisüksused nagu näiteks

tuule- ja päikesepargid. Samuti on muutunud ja muutumas tarbimine, näiteks on lisandunud elektriautode laadimisvõrgustik. Elektrilise võimuse riigietalon on täienduseks senistele elektriliste

suuruste valdkonna pinge ja takistuse riigietalonidele. Elektrilise võimsuse riigietaloni toel on võimalik

osutada seniselt kõrgema täpsusega või arendada edasi järgnevaid teenuseid:

• Elektrilise võimsuse analüsaatorite ja mõõturite kontroll ja kalibreerimine ja elektrilise

võimsuse kalibraatorite kalibreerimine – teenus on vajalik eelkõige elektroonikaettevõtetele, samuti elektrotehnika tootmise ja elektrienergia mõõtmisega seotud ettevõtetele. Seni on

ettevõtetele teenust osutatud elektrilise võimsuse tugietaloni abil.

• Elektriautode laadimisjaamade taatlemine/kontroll – teenuse arendusvajaduse tingib

lähitulevikus Euroopa Liidu seadusandlus

• Digitaalsetes alajaamades kasutatavate seadmete kalibreerimine

Samuti on elektrilise võimsuse riigietaloni toel võimalik ellu viia ettevõtteid toetavat teadus- ja arendustegevust, mis hõlmab näiteks impedantsi (näivtakistuse) kontrolli (oluline näiteks

raudteetaristu turvalisuse tagamiseks) või meditsiinivaldkonnas bioelektrilise impedantsi analüüsiks

kasutavate seadmete puhul.

Riigi- ja tugietalonide nimistu kehtestab valdkonna eest vastutav minister määrusega. Hetkel kehtiva

määruse alusel on elektriline võimsus alates 2019. aastast tugietalon.

2. Mõisted

Aktiivvõimsus (P), ühik W – vahelduvvoolu hetkvõimsuse keskväärtus ühe perioodi kestel.

Siinuselise voolu I ja pinge U võimsus väljendatuna P = U∙I∙ cos φ.

Mittesiinuselise perioodilise voolu I ja pinge U võimsus väljendatakse järgmiselt:

= ∑ = ∑ cos ,

kus Un ja In on pinge ning voolu harmooniliste RMS väärtused, φn – faasierinevused pinge ja voolu harmooniliste vahel.

Näivvõimsus (S), ühik VA – pinge efektiivväärtuse U ja voolu efektiivväärtuse I korrutis: S = U∙I. Mittesiinuselise perioodilise voolu I ja pinge U korral näivvõimsust väljendatakse järgmiselt:

= √∑ 2 ∙ ∑ 2.

Reaktiivvõimsus (Q), ühik var – siinuselise voolu I ja pinge U korral reaktiivvõimsust väljendatakse

järgmiselt: Q = U∙I∙ sin φ.

Reaktiivvõimsus (Budeanu definitsioon QB), ühik var – mittesiinuselise perioodilise voolu I ja pinge U

korral reaktiivvõimsust väljendatakse järgmiselt: = ∑ = ∑ sin . Reaktiivvõimsus (Fryze

definitsioon QF), ühik var – mittesiinuselise perioodilise voolu I ja pinge U korral reaktiivvõimsust

väljendatakse järgmiselt: .

Siinuselise signaali puhul QB = QF.

3

Moonutusvõimsus (DB), ühik VA – mittesiinuselise perioodilise voolu I ja pinge U korral

moonutusvõimsust väljendatakse järgmiselt: Siinuselise signaali puhul DB = 0.

Harmooniliste kogumoonutused (THD), pinge harmooniliste kogumoonutused väljendatakse

2 järgmiselt: THD. Voolu

harmooniliste kogumoonutused väljendatakse järgmiselt:

THD .

Efektiivväärtused mittesiinuselise perioodilise signaali korral: ;

.

Diskreetimisvattmeeter – diskreetimispõhimõttel toimiv etalonvattmeeter elektrivõimsuse

mõõtmiseks.

3. Mõõte- ja abivahendid

Elektrilise võimsuse riigietalon põhineb diskreetimisvattmeetril, mis

koosneb neljast põhikomponendist:

• Analoog-digitaalmuundurid (A/D muundurid): kaks diskreetimisfunktsiooniga multimeetrit,

mida kasutatakse A/D-muunduritena.

• Pingejagurid: üheksa etalonlaboris projekteeritud ja valmistatud pingejagurit, millel on väike

AC–DC erinevus ja minimaalne faasinihe nimipingetel kuni 1000 V.

• Voolušundid: üheksa koaksiaalse ehitusega voolušunti, mille nimivool on kuni 20 A.

• Andmehõive- ja töötlustarkvara: etalonlaboris arendatud tarkvara PowerLF 1.2 kasutab

mitmeharmoonilist vähimruutude ajadomeeni algoritmi.

Pingejagurite ja voolušuntide konstruktsioon ning hoolikalt valitud komponendid võimaldavad

vähendada muundurite AC–DC erinevust, faasinihet, temperatuurimõjusid ja võimsusteguritest tulenevat mõõtemääramatust. Diskreetimisvattmeetri SWM3458 rakendust elektrilise võimsuse

mõõturite kalibreerimisel on näidatud joonisel 1.

(a) (b)

= √ ∑ > 1

1 2

4

Joonis 1. Diskreetimisvattmeetri kasutamine elektrilise võimsuse mõõturi kalibreerimisel: (a)

mõõteskeem ja (b) mõõtesüsteemi foto.

Tabel 1. Mõõtevahendid elektrilise võimsuse ühiku säilitamisel

Mõõtevahend Tüüp Number Mõõtepiirkond Laiendmääramatus

(k =2 )

Multimeeter Keysight 3458A MY45047495 (0,01…1,2) V

±180°

(0,04…20) kHz

(25…60) μV/V

(0,1..6,0) m°

Multimeeter Keysight 3458A MY45047490 (0,01…1,2) V

±180°

(0,04…10) kHz

(25…60) μV/V

(0,1..6,0) m°

Signaaligeneraator Keysight 33210A MY48007984 (2,5…100) kHz 10 μHz/Hz

Pingejagurite

komplekt

RVD1, RVD2, RVD3, RVD4, RVD5, RVD6,

RVD7, RVD8,

RVD9

VD01, VD02, VD03, VD04, VD05, VD06,

VD07, VD08,

VD09

(1…1000) V

±180°

(0,04…10) kHz

(20…160) μV/V

(0,2..18,3) m°

Voolušuntide

komplekt

MU SIQ18059,

SIQ18060,

SIQ17056,

SIQ17057,

SIQ17058,

SIQ17059,

SIQ17060,

SIQ17061,

SIQ17062,

SIQ17063,

SIQ21030

(0,01…20) A

±180°

(0,04…10) kHz

(20…50) μA/A

(0,2..18,3) m°

Tabel 2. Abivahendid elektrilise võimsuse ühiku säilitamisel

Mõõtevahend Tüüp Number Mõõtepiirkond

Kalibraator Fluke 5730A 4191501 22 µV…1100V

10 Hz…1 MHz

9 µA…2,2A

10 Hz…10 kHz

Vooluvõimendi Fluke 52120A 5676703 50 mA…120 A

DC…10 kHz

Võimsuse

kalibraator

Calmet CP11B 26088 (0,5…560) V

1 mA…120 A

(40…500) Hz

5

4. Jälgitavusahel

Diskreetimisvattmeetri komponendid on kalibreeritud vastavate etalonide suhtes, kasutades astmelist

kalibreerimisprotseduuri ja diskreetimismeetodit. Lihtsustatud elektrilise võimsuse mõõtmise

jälgitavusahel on esitatud joonisel 2. Mõõtevahendid, mis on vajalikud mõõtmise jälgitavuse tagamiseks, on kalibreeritud Eesti metroloogia keskasutuses AS Metrosert ja Tšehhi

metroloogiainstituudis CMI.

Joonis 2. Elektrilise võimsuse mõõtmise jälgitavuse skeem

5. Mõõtevõime

Elektrilise võimsuse riigietaloni aparatuur võimaldab osutada kalibreerimisteenust tabelis 3 esitatud

mõõteulatustes, mis on parim mõõtevõime Eestis. Kalibreerimisel kasutatakse juhendit KJ/EE-5.1

„Elektrivõimsuse allikad ja mõõturid“.

Tabel 3. Elektrilise võimsuse riigietaloni kalibreerimis- ja mõõtevõime

Mõõdetav suurus Mõõtepiirkond Laiendmääramatus (k = 2)

Aktiivvõimsus, P** (0…20) kW (70...160) μW/VA

Näivvõimsus, S** (0…20) kVA*** (70...160) μVA/VA

Reaktiivvõimsus, Q** (0…20) kvar (70...160) μvar/VA

6

**Elektrilist võimsust (aktiiv-, näiv- ja reaktiivvõimsust) mõõdetakse järgmistes parameetrite vahemikes: elektripinge (1...1000) V, elektrivool (0,05...20) A, sagedus (45...65) Hz, võimsustegur (1…0).

*** Vahelduvvoolu elektrilise võimsuse mõõtühikutena kasutatakse erinimetusega ühikuid voltamper (V·A) vahelduvvoolu näivvõimsuse ja varr (var) vahelduvvoolu reaktiivvõimsuse tähistamiseks.

6. Etaloni metroloogilisi omadusi tõendavad dokumendid

Riigietaloni kalibreerimis- ja mõõtevõime on akrediteeritud Eesti Akrediteerimiskeskuse poolt

(akrediteerimistunnistus nr K001), Tabel 3.

Mõõtetulemuste tõepärasuse kindlustamiseks etalonlabor on edukalt osalenud aastal 2019 toimunud

laboritevahelises võrdlusmõõtmises:

• EURAMET.EM-K5.2018 „KEY COMPARISON OF 50 / 60 Hz POWER“, 2019.

Elektrilise võimsuse riigietaloni aparatuuriga on osaletud järgmistes rahvusvahelistes projektides:

• 15RPT04 TracePQM „Traceability routes for electrical power quality measurements,“ 2016-

2019.

• 17RPT03 DIG-AC „A digital traceability chain for AC voltage and current,“ 2018-2022.

• 21NRM02 Digital-IT „Metrology for digital substation instrumentation,“ 2022-2025 . Elektrilise võimsuse riigietaloni aparatuuriga saadud uurimistöö tulemused on avaldatud

eelretsenseeritud teadusajakirjades:

• A. Pokatilov, "A High-Precision and Low-Complexity Framework for Calibration of Stand-Alone Merging Units," in IEEE Transactions on Instrumentation and Measurement, vol. 74, pp. 1-6, 2025, Art no. 1013706, doi: 10.1109/TIM.2025.3590834.

• Ireland, Jane; Reuvekamp, Patrick G; Williams, Jonathan; Peral, David; Diaz de Aguilar, Javier; Sanmamed, Yolander; Šíra, Martin; Mašláň, Stanislav; Rzodkiewicz, Witold; Bruszewski, Patryk; Sadkowski, G; Sosso,

Andrea; Cabral, Vitor; Malmbekk, Helge; Pokatilov, Andrei; Herick, Jonas; Behr, Ralf; Ozturk, Tezgul; Arifovic, Mehedin; Ilić, Damir (2023). A method for using Josephson voltage standards for direct characterization of high performance digitizers to establish AC voltage and current traceability to SI. Measurement Science and Technology, 34 (1), 015003.

• A. Pokatilov, T. Kübarsepp and V. Vabson, "Effect of Keysight 3458A Jitter on Precision of Phase Difference

Measurement," in IEEE Transactions on Instrumentation and Measurement, vol. 65, no. 11, pp. 2595-

2600, Nov. 2016, doi: 10.1109/TIM.2016.2593965.

7. Laboriruum

Elektriliste suuruste mõõtühikute riigietalone säilitatakse ja kasutatakse ASi Metrosert poolt renditud

laboris aadressiga Teaduspargi 8, Tallinn.

Allpool on kirjeldatud Teaduspargi 8 elektriliste suuruste mõõtühikute riigietalonide laboriruumi

tingimusi.

7

Üldkirjeldus

Laboriruum külgneb välisseinaga, koridoriga, ning aja ja sageduse laboriga. Laboril on ainult üks sissepääs, selle uks on lukustatav ja juurdepääs on piiratud arvul ASi Metroserdi töötajatel.

Labor on ekraneeritud elektromagnetkiirguse häiringute suhtes vaskplekiga, sumbuvus sageduse piirkonnas 100 MHz-2 GHz on 60 dB.

Labor on jaotatud vaheseinaga kaheks: alalispinge ja elektrilise takistuse etalonide ruum (21,8 m2) ning elektrilise võimsuse etaloni ruum (22,8 m2). Labor on varustatud piisava elektrivõimsusega.

Aknad:

Ruumi kõrgus:

Juurdepääs laborile:

Laboril aknad puuduvad

Laboriruumi kõrgus on 2,4 m

Juurdepääsu koridoride laius kitsaimas kohas

on 1,6 m

Paiknemine: 2. korrus

Konditsioneerimine On rakendatud eraldi konditsioneerimine

Temperatuuri seadepunkt/stabiilsus: Vahemik: 22,0 °C…24,0 °C Stabiilsus: ±1

°C

Suhtelise õhuniiskuse seadepunkt/stabiilsus: Vahemik: 40 %…50 %

Stabiilsus: ±5 %

Labori kogupindala: 44,6 m2

8. Riigietaloni säilitamise ja kasutamisega seotud personal

Elektrilise võimsuse mõõtühiku riigietaloni säilitamisega ja kasutamisega tegeleb Andrei Pokatilov, kes

on ASi Metrosert töötaja olnud aastast 2002 (Curriculum Vitae vt https://www.etis.ee/CV/Andrei_Pokatilov/est/). A. Pokatilov on lõpetanud Tallinna Tehnikaülikooli

elektroonika ja biomeditsiinitehnika erialal ning kaitses samas valdkonnas tehnikamagistri kraadi 2003.

a. ning filosoofiadoktori (elektroonika) kraadi 2008. a.

A. Pokatilov töötab ASis Metrosert elektriliste suuruste valdkonna vanemteadurina. Ta on läbi

katsetanud ja töösse juurutanud kõik elektrilise võimsuse mõõtühiku etaloni koosseisu kuuluvad

mõõte- ja abivahendid, erilist rõhku on ta pööranud seadmete töö automatiseerimisele. A. Pokatilov on osalenud lektorina elektriliste mõõtmiste alal mitmel siseriiklikul seminaril ja koolitusel. A. Pokatilov

on EURAMETi elektriliste suuruste ning magnetismi tehnilise komitee Eesti esindaja.

8

9. Riigietaloni säilitamise ja kasutamise vajadus- ja tasuvusanalüüs

Aastatel 2023-2025 on Metrosert investeerinud elektrilise võimsuse riigietaloni arendusprojekti raames

põhivara ehk seadmete soetamiseks 12 000 eurot ja väikevahendite soetamiseks ca 20 000 eurot,

investeerimiseks vajalikud vahendid pärinevad peamiselt majandus- ja kommunikatsiooniministeeriumi teadus- ja arendusrahastusest. Tasuvusanalüüs ei võta arvesse

seadmete amortisatsioonikulu, sest investeeringuteks vajalikud vahendid on Metroserdile laekunud

investeeringu tegemise aastal sihtfinantseeringuga. Elektrilise võimsuse riigietaloniga teenitav tulu koosneb kahest komponendist. Müügitulu hõlmab

teenuseid nagu kalibreerimine ja mõõtmine, samuti elektrilise võimsusega seotud

konsultatsiooniteenuseid ja ettevõtetele teostatavaid TA-projekte. Tulu teadus- ja arendusprojektidest

on rahvusvahelistest taotlusvoorudest laekuv granditulu teadus- ja arendustegevusteks. Prognoosid on tehtud 2025. aasta reaalsete andmete alusel.

Prognoositavad teadus- ja arendusprojektid on seotud digitaalsete alajaamade kalibreerimisega,

samuti elektriautode laadimistaristu kontrolli metroloogiliste meetoditega ning mõõdavad ja

analüüsivad taastuvenergia muundurtehnoloogiast tingitud ebalineaarsust ning pinge- ja vooluhäireid, et hinnata ja leevendada nende negatiivset mõju võrgu elektrienergia kvaliteedile ning tarbijaseadmete

töökindlusele. Projekte taotletakse konkurentsipõhistest rahastusmehhanismidest, seetõttu ei ole

enne nende heakskiitu võimalik öelda, millistel teemadel lähiaastatel täpselt õnnestub ellu viia ja millises mahus.

Elektrilise võimsuse riigietaloni kulude peamise osa moodustavad tööjõukulud, arvestatud kolmandik

teaduri palgakulust, võttes arvesse iga-aastast võimalikku korrektuuri. Teise kulukomponendi

moodustavad investeeringud, mis on vajalikud valdkonna edasiseks arendustegevuseks. Ilma püsivate investeeringuteta amortiseerub taristu ja ei ole võimalik pakkuda sama kvaliteediga teenuseid ja

osaleda TA-projektides. Otsekulude hulgas on erinevad väikevahendid ja materjalid igapäevase töö

elluviimiseks. Üldkuludes on lisaks pindade ja administratiivkuludele ka kõik muud kulud, nt tarkvara, side, laborite koristus, elekter ja soojus jne. Üldkulude määraks on arvestatud 25% kuludest, mis on

tavapärane EL grandimeetmetes kasutatav üldkulu määr. Kulude ja tulude prognoos on esitatud tabelis

4.

Kulude ja tulude prognoos puudutab ainult otseselt ASi Metrosert tegevusega seotud kulusid ja tulusid, kuid ei hõlma tulu, mida saavad ASi Metrosert teenuseid kasutavad ettevõtted paranenud täpsusega

kalibreerimisteenuse, TA-nõustamise vms teenuse osutamise tulemusena. See tulu ületab tõenäoliselt

oluliselt ASi Metrosert poolt teenitavat otsest tulu teenustest. EURAMETi 2025. aastal läbiviidud

uuringu 1 kohaselt toob iga Euroopa Liidus metroloogiavaldkonna teadus- ja arendustegevusse investeeritud euro tagasi neli eurot tulu, sest läbi metroloogia toetatakse ettevõtete teenuste kvaliteeti

ja arendust. Seda mudelit arvesse võttes on elektrilise võimsuse riigietalonist saadav kaudne tulu üle

200 000 euro aastas.

Tabel 4. Elektrilise võimsuse riigietaloni tulude ja kulude prognoos

2026 2027 2028 2029 2030

Tulud 15000 31000 37100 43310 49641

Teenuste müük (konsultatsioon ja

mõõteteenused) 10000 11000 12100 13310 14641

Tulu rahvusvahelistest TA-projektidest 5000 20000 25000 30000 35000

Kulud -51108 -55696 -60702 -66163 -72121

1 Quantifying the economic benefit resulting from EURAMET’s metrology research programmes , EURAMET, 2025

9

Valdkonna otsekulud -8000 -8800 -9680 -10648 -11713

Personaliga seotud kulud -20886 -22557 -24361 -26310 -28415

Valdkonna arendamiseks vajalikud

investeeringud -15000 -16500 -18150 -19965 -21962

Üldkulud 25% (sh pindadega seotud kulud,

admin kulud) -7222 -7839 -8510 -9240 -10032

Kokku -36108 -24696 -23602 -22853 -22480

LISA tunnistusele nr K001 ANNEX to the certificate No K001

Leht/Page 1/30 Lisa kehtib perioodil 09.07.2025 kuni 22.03.2029

This annex is valid from 09.07.2025 to 22.03.2029

LISA AS Metrosert akrediteerimistunnistusele nr K001

ANNEX to the accreditation certificate No K001 of Metrosert Ltd

1. Kalibreerimis- ja mõõtevõime akrediteerimisulatuses on:

Calibration and measurement capability (CMC) in accreditation scope is:

Labori asukoht: Riigietalonilabor, Teaduspargi 8, Tallinn

Location of laboratory: National Standard Laboratory, Teaduspargi 8, Tallinn

Nr

No

Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity / calibration

object

Nimiväärtus või

mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

Pikkus / Length

1 Otsmõõdud

Length measures

(0,5…100) mm (0,05 + 0,5 × L) µm Võrdlemine etalonotsmõõduga

Comparison with standard gauge block

L – pikkus meetrites / length in meters

KJ/EP-1.03 vers 1.03

(EVS-EN ISO 3650:1999)

(100…500) mm (0,2 + 0,9 × L) µm

(500…1000) mm (0,2 + 2 × L) μm

2 Pikkusmõõdud

Line measures of length 1 mm…120 m (0,06 + 0,015 × L) mm

Võrdlemine laserinterferomeetriga

Comparison with laser interferometer

L – pikkus meetrites / length in meters

MSKJ 039 vers 4

LISA tunnistusele nr K001 ANNEX to the certificate No K001

Leht/Page 2/30 Lisa kehtib perioodil 09.07.2025 kuni 22.03.2029

This annex is valid from 09.07.2025 to 22.03.2029

Nr

No

Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity /

calibration object

Nimiväärtus või

mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

Mass / Mass

3

Etalonvihi massi leppeline

väärtus

Conventional mass of standard

weight

1; 2; 5; 10; 20 mg

50 mg

100 mg

200 mg

500 mg

1 g

2 g

5 g

10 g

20 g

50 g

100 g

200 g

500 g

1 kg

2 kg

5 kg

10 kg

20 kg

50 kg

0,0020 mg

0,0030 mg

0,0040 mg

0,0050 mg

0,0060 mg

0,0030 mg

0,0040 mg

0,0050 mg

0,0060 mg

0,0080 mg

0,010 mg

0,015 mg

0,030 mg

0,075 mg

0,100 mg

0,50 mg

1,5 mg

2,0 mg

4,0 mg

15 mg

Asendusmeetod

Substitution method

KJ/EM-01 vers 5

(OIML R 111-1-e04)

LISA tunnistusele nr K001 ANNEX to the certificate No K001

Leht/Page 3/30 Lisa kehtib perioodil 09.07.2025 kuni 22.03.2029

This annex is valid from 09.07.2025 to 22.03.2029

Nr

No

Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity / calibration

object

Nimiväärtus või

mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

Temperatuur / Temperature

4

Etalonplaatina

takistustermomeetrid ja

tööstuslikud plaatina

takistustermomeetrid

SPRT and industrial resistance

thermometers

-196 °C 0,080 °C

Võrdlusmeetod

Comparison method

KJ/ET-1.2 vers 2

(DKD-R 5-1)

(-80…-40) °C 0,040 °C

(-40…+200) °C 0,0080 °C

(+200…+400) °C 0,040 °C

-38,8344 °C (Hg) 0,0035 °C

Kalibreerimine kinnispunktis

Fixed point calibration

KJ/ET-1.2 vers 2

(DKD-R 5-1)

0,01 °C (H2O) 0,0010 °C

29,7646 °C (Ga) 0,0020 °C

156,5985 °C (In) 0,0030 °C

231,928 °C (Sn) 0,0049 °C

419,527 °C (Zn) 0,0066 °C

5 Termokaamerad

Thermovisors

-15 °C…+120 °C (1,0…2,0) ºC Võrdlusmeetod / Comparison method

KJ/ET-3.01 vers 2

(OIML R 141:2008) +120 °C…+500 °C (2,0…5,0) °C

Elektrilised suurused / Electrical quantities

6 Alalispinge mõõdud

DC voltage measures

10 V; 1 V 1,0 µV/V

Võrdlusmeetod

Comparison method

KJ/EE-1.3 vers 3

(10…100) mV

(100…1000) mV

(1…10) V

(10…100) V

(100…1000) V

5×10-6 × Um + 0,1 µV

1×10-6 × Um + 0,5 µV

1×10-6 × Um + 2 µV

3×10-6 × Um

4×10-6 × Um

LISA tunnistusele nr K001 ANNEX to the certificate No K001

Leht/Page 4/30 Lisa kehtib perioodil 09.07.2025 kuni 22.03.2029

This annex is valid from 09.07.2025 to 22.03.2029

Nr

No

Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity / calibration

object

Nimiväärtus või

mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

7 Etalontakistid

Standard resistors

(1…10) mΩ

(10…100) mΩ

100 mΩ…100 kΩ

5,0 μΩ/Ω

2,0 μΩ/Ω

1,0 μΩ/Ω

Võrdlusmeetod

Comparison method

KJ/EE-2.4 vers 4

8

Elektrivõimsuse allikad ja

mõõturid, vahelduvvool

Power sources and meters, AC

(0…20) kW

(0…20) kVA

(0…20) kvar

(45…65) Hz

(1…1000) V

(0,05…20) A

PF (1…0)

(70…160) μW/VA

(70…160) μVA/VA

(70…160) μvar/VA

Võrdlusmeetod

Comparison method

KJ/EE-5.1 vers 1

Voolu ja pinge signaali kuju:

Current and voltage waveform:

pinge harmoonilised

voltage harmonics

voolu harmoonilised

current harmonics

f1 = 50 Hz

harmoonilised / harmonics

1…50

(10…500) V

(0,5…5) A

põhiharmoonilise suhtes

/ in relation to

fundamental harmonic

100 µV/V

100 µA/A

Pinge harmooniliste

kogumoonutused THDu

Total harmonics distortion of

voltage THDu

Voolu harmooniliste

kogumoonutused THDi Total harmonics distortion of

current THDi

(0…100) %

(10…500) V

(0,5…5) A

0,03 %

LISA tunnistusele nr K001 ANNEX to the certificate No K001

Leht/Page 5/30 Lisa kehtib perioodil 09.07.2025 kuni 22.03.2029

This annex is valid from 09.07.2025 to 22.03.2029

Labori aadress: Teaduspargi 8, Tallinn

Location of laboratory: Teaduspargi 8, Tallinn

Nr

No

Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity /

calibration object

Nimiväärtus või mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

Pikkus / Length

9 Otsmõõdud

Gauge blocks

(0,5…100) mm

(100…1000) mm

(0,07 + 0,6 × L) μm

(0,2 + 2 × L) μm

Võrdlemine etalonotsmõõduga

Comparison with standard gauge block

L – pikkus meetrites / length in meters

KJ/EP-1.03 vers 1.03

(ISO 3650:1998)

10 Joonmõõdud

Line measures of length 1 mm…120 m (0,06 + 0,015 × L) mm

Võrdlusmeetod

Comparison method

L – pikkus meetrites / length in meters

MSKJ 039 vers 4

11

Pikkusmõõturid ja -mõõdud

Length measuring

instruments, material

measures of length

(0,01…1000) mm

(1000…2500) mm

(0,5 + 5 × L) μm

(10 + 5 × L) μm

Võrdlemine etalonpikkusmõõtudega

Comparison with standard measures

L – pikkus meetrites / length in meters

MSKJ 040 vers 3; MSKJ 041 vers 3; MSKJ

042 vers 3; MSKJ 054 vers 2

EURAMET cg-2 vers 2.1

EURAMET cg-6 vers 3.0

12 Laserkaugusmõõturid

Laser distance meters (0,01…40) m (1,0…2,0) mm

Võrdlemine etalonmõõtudega

Comparison with standard measures

MSKJ 051 vers 2

13 Nurgamõõdud

Angle gauges (0…360)º 1,0’’

Võrdlemine etalonmõõtudega

Comparison with standard measures

MSKJ 049 vers 1

14 Nurgikud

Rightangles

Kõrvalekalle 90º nurgast, haara pikkusel kuni 800 mm

Deviation from 90º angle, side

length up to 800 mm

5,0 µm

Võrdlemine etalonmõõtudega

Comparison with standard measures

MSKJ 090 vers 1

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This annex is valid from 09.07.2025 to 22.03.2029

Nr

No

Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity /

calibration object

Nimiväärtus või mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

15 Loodid, kaldemõõturid

Levels, clinometers (0…360)º 1’’ (0,0050 mm/m)

Võrdlemine etalonmõõtudega

Comparison with standard measures

Loodi pikkus / Level length ≤ 4 m

MSKJ 091 vers 2

16

Silindrilised keermekaliibrid,

keerme keskläbimõõt

Pitch diameter of parallel

thread gauges

Väliskeere (1…200) mm, samm

(0,3…8) mm

Sisekeere (2,6…200) mm,

samm (0,45…8) mm

3,0 μm

Võrdlemine etalonmõõtudega, kolme

traadi meetod ja kahe kuuli meetod

Comparison with standard measures,

three wire and two ball method

EURAMET cg-10 vers 2.1

Mass / Mass

17 Vihi massi leppeline väärtus

Conventional mass of weight

1; 2; 5; 10 mg

20 mg

50 mg

100 mg

200 mg

500 mg

0,0060 mg

0,010 mg

0,010 mg

0,010 mg

0,020 mg

0,020 mg

Asendusmeetod

Substitution method

MSKJ 012 vers 4

(OIML R 111-1-e04)

1 g

2 g

5 g

10 g

20 g

50 g

100 g

200 g

500 g

1 kg

2 kg

5 kg

0,030 mg

0,040 mg

0,050 mg

0,060 mg

0,080 mg

0,10 mg

0,10 mg

0,30 mg

0,80 mg

1,0 mg

3,0 mg

8,0 mg

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Nr

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Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity /

calibration object

Nimiväärtus või mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

10 kg

20 kg

50 kg

500 kg

2000 kg

20 mg

30 mg

250 mg

8,0 g

70 g

18

Mitteautomaatkaalud

Non-automatic weighing

instruments

(1…500) mg

500 mg…1 g

(1…2) g

(2…10) g

(10…20) g

(20…50) g

(50…100) g

100 g…20 kg

(20…5000) kg

(5…50) t

0,0030 mg

0,020 mg

0,030 mg

0,040 mg

0,050 mg

0,060 mg

0,10 mg

1 × 10-6 × m

2 × 10-5 × m

5 × 10-5 × m

Kaalude koormamine vihtidega või

jõumasinast ja etalonjõuandurist

koosneva mõõtesüsteemi abil

Loading with weights or using testing

machine and force transducer

m – vihtide mass või koormus /

mass of weights or applied load

EURAMET cg-18 vers 4.0

Maht ja kulu / Volume and flow

19 Mahumõõdud

Capacity measures

(2…100) μl

(100…200) μl

(200…500) μl

(500…1000) μl

(1…5) ml

(5…50) ml

(50…100) ml

(100…250) ml

(250…500) ml

(500…1000) ml

(1…2) l

(2…5) l

(5…10) l

0,15 μl

0,20 μl

0,40 μl

0,60 μl

3,0 μl

10 μl

20 μl

40 μl

60 μl

150 μl

300 μl 0,90 ml

2,0 ml

Destilleeritud veega täidetud mahumõõdu

kaalumine arvestades vee tihedust antud

temperatuuril

Weighing of capacity measure filled with

distilled water taking into account density

of water at given temperature

MSKJ 038 vers 5

(ISO 4787:2021)

(ISO 8655-6:2022)

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Nr

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Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity /

calibration object

Nimiväärtus või mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

(10…20) l

(20…50) l

(50…100) l

(100…200) l

(200…300) l

4,0 ml

9,0 ml

18 ml

80 ml

100 ml

(300…500) l

(500…1 000) l

(1 000…2 000) l

(2 000…5 000) l

125 ml

250 ml

500 ml

1200 ml

Joogiveega täidetud mahumõõdu

kaalumine

Weighing of capacity measure filled with

potable water

MSKJ 038 vers 5; MSKJ 022 vers 3

20

Vedelike arvestid,

kulumõõturid

Liquid volume meters. Flow

meters

(0,006…25) m3/h (0,4…0,5) %

Võrdlusmeetod. Kalibreerimine veega

Comparison method. Calibration with

water

DN10…DN65

MDK KJ 325 vers 3

Rõhk / Pressure

21 Raskuskolbmanomeetrid

Pressure balances

(3,5…202) kPa

(0,2…2,5) MPa

(2,5…3,5) MPa

(3,5…70) MPa

(70…140) MPa

6×10-5 × p

5×10-5 × p

6,5×10-5 × p

9×10-5 × p

1,2×10-4 × p

Võrdlemine etalon

raskuskolbmanomeetriga või

etalonmanomeetriga

Comparison with standard pressure

balance or standard manometer

p – rõhk Pa / pressure in Pa

EURAMET cg-3 vers 2.0

22

Ala- ja ülerõhu

mõõtevahendid

Vacuum and pressure gauges

(-96…-3,5) kPa

(-3,5…3,5) kPa

(3,5…202) kPa

(0,2…2,5) MPa

(2,5…3,5) MPa

(3,5…70) MPa

(70…140) MPa

1,5×10-4 × p

0,1 Pa + 1,3×10-4 × p

6×10-5 × p

5×10-5 × p

6,5×10-5 × p

9×10-5 × p

1,2×10-4 × p

Võrdlusmeetod

Comparison method

p – rõhk Pa / pressure in Pa

MSKJ 037 vers 5

LISA tunnistusele nr K001 ANNEX to the certificate No K001

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Nr

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Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity /

calibration object

Nimiväärtus või mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

23

Absoluutrõhu mõõtevahendid

Absolute pressure measuring

instruments

(3…200) kPa

(0,2…70) MPa

2,3 Pa + 5,4 × 10-5 × p

20 Pa + 1,2 × 10-4 × p

Võrdlusmeetod

Comparison method

p – rõhk Pa / pressure in Pa

MSKJ 037 vers 5

Temperatuur / Temperature

24

Termomeetrid (v.a

termopaarid ja

infrapunatermomeetrid)

Thermometers (excl.

thermocouples and radiation

thermometers)

(-95…0) ºC

(>0…100) ºC

(>100…200) ºC

(>200…400) ºC

(>400…700) ºC

(0,20…0,050) ºC

0,050 ºC

(0,060…0,15) ºC

(0,30…0,60) ºC

1,2 ºC

Võrdlemine etalontermomeetriga

Comparison with standard thermometer

EURAMET cg-8 vers 3.1

EURAMET cg-11 vers 2.0

MDK KJ 303 vers 3

25 Termopaarid

Thermocouples (-95…+1100) ºC (0,60…2,0) ºC

26 Infrapunatermomeetrid

Radiation thermometers (-30…+300) ºC (1,0…2,0) ºC

Võrdlusmeetod / Comparison method

MSKJ 081 vers 3

27 Temperatuuri kalibraatorid

Temperature calibrators

(-40…+400) ºC

(>400…1100) ºC

(0,20…0,60) ºC

(1,2…2,0) ºC

Võrdlemine etalontermomeetriga

Comparison with standard thermometer

EURAMET cg-13 vers 4.0

Optilised suurused / Optical quantities

28 Luksmeetrid

Luxmeters

(5…15) lx

(15…2000) lx

(>2000…5000) lx

5,0 %

2,3 %

5,0 %

Võrdlusmeetod

Comparison method

MDK KJ 321 vers 4

29 Valgusfiltrid

Filters

T = (1…100) %

Lainepikkustel / at wavelengths

(250…900) nm

(0,10…0,40) %T Võrdlusmeetod

Comparison method MSKJ 062 vers 3 spektri tipu lainepikkus / peak

wavelength

(240…880) nm

0,3 nm

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Nr

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Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity /

calibration object

Nimiväärtus või mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

30 Värvimõõturid ja -mõõdud

Color meters and measures

XYZ värviruum / color space

0 ≤ X , Y , Z ≤ 100

CIELab värviruum / color space

0 ≤ L * ≤ 100

-128 ≤ a * ≤ +127

-127 ≤ b * ≤ +127

0,6…1,0

0,6…5

2…20

1…10

Võrdlusmeetod

Comparison method

MSKJ 073 vers 1

Elektrilised suurused / Electrical quantities

31

Alalispinge mõõdud ja

mõõturid

DC voltage measures and

meters

1 μV…100 mV

100 mV…1 V

1 V…10 V

10 V…100 V

100 V…1 kV

0,5 μV + 5 × 10-6 × U

0,5 μV + 2 × 10-6× U

2 μV + 1 × 10-6× U

10 μV + 4 × 10-6 × U

0,4 mV + 1 × 10-5 × U

Võrdlusmeetod / Comparison method

U – mõõdetava pinge väärtus / value of

measurable voltage

EURAMET cg-15 vers 3.0

MSKJ 503 vers 4

MSKJ 016 vers 2

32

Alalisvoolu mõõdud ja

mõõturid

DC current measures, meters

1 nA…1 mA

(1…10) mA

(10…100) mA

(0,1…1) A

(1…10) A

(10…100) A

(100…220) A

220 A…1 kA

0,5 nA + 5 × 10-6 × I

5 nA + 8 × 10-6 × I

0,08 µA + 1 × 10-5 ×I

0,8 µA + 1 × 10-5 × I

8 µA + 2 × 10-5 × I

10 µA + 5 × 10-5 × I

0,1 mA + 5 × 10-4 × I

(1,2…2,0) %

Võrdlusmeetod

Comparison method

I – mõõdetava alalisvoolu väärtus /

value of measurable DC current

EURAMET cg-15 vers 3.0

MSKJ 016 vers 2

MSKJ 503 vers 4

33

Elektrivõimsuse allikad ja

mõõturid, vahelduvvool

Power sources and meters, AC

(0…20) kW

(0…20) kVA

(0…20) kvar

Tingimustel / At conditions

f = (45…65) Hz

U = (1…1000) V

I = (0,05…20) A

PF (1…0)

(120…450) μW/VA

(120…450) μVA/VA

(120…450) μvar/VA Võrdlusmeetod

Comparison method

MSKJ 507 vers 4 KJ/EE-5.1 vers 1

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Nr

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Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity /

calibration object

Nimiväärtus või mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

34

Vahelduvpinge mõõdud ja

mõõturid

AC voltage measures, meters

0,1 mV…20 V

f = 10 Hz…1 MHz

(20…200) V

f = 10 Hz…100 kHz

(200…750) V

f = 15 Hz…100 kHz

(750…1000) V

f = 15 Hz…30 kHz

(0,002…1,0) %

Võrdlusmeetod

Comparison method

f – sagedusvahemik / frequency range

EURAMET cg-15 vers 3.0

EURAMET cg-7 vers 1.0

MSKJ 507 vers 4

MSKJ 016 vers 2

35

Vahelduvvoolu mõõdud ja

mõõturid

AC current measures, meters

10 µA…11 A

f = 10 Hz…5 kHz

10 µA…100 A

f = 45 Hz…1 kHz

10 µA…3 kA

f = 50 Hz

(0,004…1) %

Võrdlusmeetod

Comparison method

f – sagedusvahemik / frequency range

EURAMET cg-15 vers 3.0

MSKJ 507 vers 4

MSKJ 016 vers 2

36

Vahelduvvoolu takistuse ja

impedantsi mõõdud ja

mõõturid

AC resistance and impedance

measures, meters

Z=(0,01 Ω…110 kΩ)

f = 20 Hz…1 MHz;

cos φ >0,95

(0,01…1,3) %

Võrdlusmeetod / Comparison method

Testvool: / test current: (25 mA…30 A)

f – sagedusvahemik / frequency range

MSKJ 015 vers 3

MSKJ 016 vers 2

(EN 61557-1-6:2007)

Z=(25 mΩ…1,8 kΩ)

f = 50 Hz; cos φ >0,95 5,0 mΩ…10 Ω

37

Mahtuvuse mõõdud ja

mõõturid

Capacitance measures, meters

1 pF…1 nF

f = 50 Hz…1 MHz

1 nF...100 nF

f = 50 Hz...20 kHz

100 nF...1 µF

f = 50 Hz...8 kHz

1 µF...100 µF

f = 50 Hz...1 kHz

(0,004…0,10) %

Võrdlusmeetod

Comparison method

f – sagedusvahemik / frequency range MSKJ 015 vers 3

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Nr

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Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity /

calibration object

Nimiväärtus või mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

38

Üheväärtuselised alalispinge

takistusmõõdud

DC resistance measures:

specific values

0,1 mΩ 0,010 μΩ

Võrdlusmeetod

Comparison method

MSKJ 014 vers 5

KJ/EE-2.4 vers 4

1 mΩ 0,010 μΩ

10 mΩ 0,050 μΩ

100 mΩ 0,20 μΩ

1 Ω 2,0 μΩ

10 Ω 0,020 mΩ

100 Ω 0,20 mΩ

1 kΩ 2,0 mΩ

10 kΩ 0,020 Ω

100 kΩ 0,20 Ω

1 MΩ 6,0 Ω

10 MΩ 0,10 kΩ

100 MΩ 1,4 kΩ

1 GΩ 0,018 MΩ

10 GΩ 0,30 MΩ

39

Mitmeväärtuselised

alalispinge takistusmõõdud ja

-mõõturid

Variable DC resistance

measures and meters

(0,1…1) mΩ 0,05 µΩ + 3 × 10-5 × R

Võrdlusmeetod

Comparison method

R –mõõdetava takistuse väärtus /

value of measurable resistance

EURAMET cg-15 vers 3.0

MSKJ 014 vers 5

MSKJ 016 vers 2

KJ/EE-2.4 vers 4

(EN 61557-1-6:2007)

(1…10) mΩ 0,05 µΩ + 1 × 10-5 × R

(10…100) mΩ 0,1 µΩ + 5 × 10-6 × R

(0,1…1) Ω 0,2 µΩ + 2 × 10-6 × R

(1…10) Ω 2 µΩ + 2 × 10-6 × R

(10…100) Ω 0,02 mΩ + 2 × 10-6 × R

(0,1…1) kΩ 0,2 mΩ + 2 × 10-6 × R

(1…10) kΩ 2 mΩ + 2 × 10-6 × R

(10…100) kΩ 0,02 Ω + 6 × 10-6 × R

(0,1…1) MΩ 0,6 Ω + 1 × 10-5 × R

(1…10) MΩ 9 Ω + 2 × 10-5 × R

(10…100) MΩ 0,12 kΩ + 2 × 10-5 × R

(0,1…1) GΩ 1,9 kΩ + 5 × 10-5 × R

(1…40) GΩ 160 kΩ + 3 × 10-4 × R

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Nr

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Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity /

calibration object

Nimiväärtus või mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

40

Elektrijuhtivuse mõõdud

Electrical conductivity

measures

(1,0…59,5) MS/m

DC

Sagedustel / At frequencies

(60; 120; 240; 480) kHz

(0,2…0,7) %

(0,6…1,4) %

Võrdlusmeetod

Comparison method

KJ/EE-4.0 vers 1

41

Kõrgepinge allikad ja

mõõturid, alalispinge

High voltage sources and

meters, DC

Väljundpinge / Output voltage

(1…30) kV

Sisendpinge / Input voltage

(1…10) kV

(0,02…0,05) %

Võrdlusmeetod

Comparison method

f – sagedusvahemik / frequency range

MSKJ 504 vers 2

42

Kõrgepinge allikad ja

mõõturid, vahelduvpinge

High voltage sources and

meters, AC

Väljundpinge / Output voltage

(1…30) kV

Sisendpinge / Input voltage

(1…10) kV

f = (45…65) Hz

(0,2…0,4) %

Sagedus ja aeg / Frequency and time

43

Sagedusmõõdud,

signaalallikad

Frequency measures, signal

sources

10 MHz 8×10-11 × f

Võrdlusmeetod

Comparison method

t – aeg / time, s

f – sagedus / frequency, Hz

MSKJ 069 vers 4

MSKJ 506 vers 2

MSKJ 016 vers 2

EURAMET cg-7 vers 1.0

NIST SP 960-12

0,001 Hz…8 GHz (1×10-5…1×10-10) × f

44 Periood / Period (1/f) 125 ps…1000 s (1×10-5…1×10-10) × t

45

Ajaintervalli

mõõdud/mõõturid

Time interval measures,

meters

(10…999999) s ≥0,050 s

46 Sagedusmõõturid

Frequency meters

10 MHz 8×10-11 × f

0,001 Hz…2,2 GHz (2×10-5…1×10-10) × f

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Nr

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Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity /

calibration object

Nimiväärtus või mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

Müra / Noise

47

Müramõõturid ja kalibraatorid

Sound level meters and

calibrators

94 dB; 104 dB; 114 dB

sagedustel/at frequencies

31,5 Hz; 63,0 Hz; 125 Hz;

250 Hz; 500 Hz; 1 kHz; 2 kHz;

4 kHz; 8 kHz; 12,5 kHz;

16 kHz

(10…140) dB

sagedustel/at frequencies

63 Hz…16 kHz

(0,10…1,0) dB

Võrdlusmeetod

Comparison method

MSKJ 064 vers 4

EN 61672-3:2013

Füüsikalis-keemilised suurused / Physicochemical quantities

48

Vees lahustunud hapniku

sisalduse mõõturid

Dissolved oxygen meters

(6…13) mg/l 0,10 mg/l

Võrdlusmeetod

Comparison method

MSKJ 092 vers 2

49

Mootorsõidukite heitgaaside

analüsaatorid

Instruments for measuring

vehicle exhaust emissions

CO (0…7) % vol

CO2 (0…16) % vol

O2 (0…21) % vol

HC (0…2000) 10-4 % vol

2 %, Min 0,01% vol

Võrdlusmeetod

Comparison method

OIML R 99-e08

50 CO2 mõõturid

CO2 meters (200…10000) ppm (30…250) ppm

Võrdlusmeetod

Comparison method

MSKJ 082 vers 1

51 Vedelike tihedusmõõturid

Liquid density meters (0,650…1,840) g/cm3

(0,00010…0,0070)

g/cm3

Võrdlemine etalontihedusmõõturiga või

etalonainega

Comparison with standard density meter

or reference materials

MDK KJ 064 vers 4 MDK KJ 320 vers 5

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This annex is valid from 09.07.2025 to 22.03.2029

Nr

No

Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity /

calibration object

Nimiväärtus või mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

52

Suhtelise õhuniiskuse

mõõturid

Relative air humidity

measuring devices

(10…95) %rh

(20…25) °C (1,5…2,5) %rh

Võrdlusmeetod kliimakapis

Comparison method in a climate chamber

MSKJ 058 vers 4 (10…95) %rh

(10…20) °C; (25…40) °C (2,5…5,0) %rh

(5…95) %rh

(10…25) °C (0,6…1,2) %rh Võrdlusmeetod niiskusgeneraatoris

Comparison method in a humidity

generator

MSKJ 058 vers 4(5…90) %rh

(25…60) °C (1,3…2,3) %rh

Liikumisparameetrid / Motion parameters

53

Sõidukite kiirendus- ja

aeglustusmõõturid

Vehicle accelerometers and

decelerometers

(0...9,81) m/s2 0,02 m/s2

Staatiline nurgameetod

Static angular method

MSKJ 094 vers 1

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Labori aadress: Spektri 6, Tartu

Location of laboratory:Spektri 6, Tartu

Nr

No

Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity /

calibration object

Nimiväärtus või

mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

Pikkus / Length

54 Joonmõõdud

Line measures of length 1 mm…50 m (0,1 + 0,05  L) mm

Võrdlusmeetod

Comparison method

L – pikkus meetrites / length in meters

MSKJ 039 vers 4

55

Pikkusmõõturid ja -

mõõdud

Length measuring

instruments, material

measures of length

(0,01…1000) mm

(>1000…2000) mm

(0,5 + 5  L) μm

(40 + 5  L) μm

Võrdlemine etalonpikkusmõõtudega

Comparison with standard measures

L – pikkus meetrites / length in meters

MSKJ 040 vers 3; MSKJ 041 vers 3; MSKJ

042 vers 3

56 Loodid, kaldemõõturid

Levels, clinometers (0…360)º 10’’ (0,050 mm/m)

Võrdlemine etalonmõõtudega

Comparison with standard measures

MSKJ 091 vers 2

57 Laserkaugusmõõturid

Laser distance meters (0,01…20) m (2,0…3,0) mm

Võrdlemine etalonmõõtudega

Comparison with standard measures

MSKJ 051 vers 2

Mass / Mass

58

Vihi massi leppeline

väärtus

Conventional mass of

standard weight

(1; 2; 5; 10; 20; 50) mg

(100; 200; 500) mg

1 g

2 g

5 g, 10 g

20 g, 50 g 100 g

200 g

500 g

0,020 mg

0,050 mg

0,030 mg

0,040 mg

0,050 mg

0,080 mg 0,15 mg

0,30 mg

2,5 mg

Asendusmeetod

Substitution method

OIML R 111-1-e04

MSKJ 012 vers 4

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Nr

No

Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity /

calibration object

Nimiväärtus või

mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

1 kg

2 kg

5 kg

10 kg

20 kg

500 kg

15 mg

30 mg

25 mg

50 mg

100 mg

8,0 g

59

Mitteautomaatkaalud

Non-automatic weighing

instruments

(1…100) mg

100 mg…1 g

(1…10) g

(10…50) g

(50…100) g

100 g…20 kg

(20…5000) kg

0,010 mg

0,020 mg

0,040 mg

0,060 mg

0,10 mg

1×10-6 × m

2×10-5 × m

Kaalude koormamine vihtidega

Loading with weights

m – kasutatavate vihtide mass /

mass of weights

EURAMET cg-18 vers 4.0

Maht ja kulu / Volume and flow

60 Mahumõõdud

Capacity measures

(2…100) μl

(100…500) μl

(>0,5…1) ml

(>1…10) ml

(>10…25) ml

(>25…50) ml

(>50…100) ml

(>100…1000) ml

(>1…10) l

(>10…200) l

0,20 µl

0,50 µl

1,0 μl

3,0 μl

10 μl

20 μl

40 μl

0,10 ml

0,70 ml

0,10 %

Destilleeritud veega täidetud mahumõõdu

kaalumine arvestades vee tihedust antud

temperatuuril

Weighing of capacity measure filled with

distilled water taking into account density

of water at given temperature

MSKJ 038 vers 5

(ISO 4787:2021)

(ISO 8655-6:2022)

61 Vedelike arvestid

Liquid volume meters (0,02…20) m3/h (0,4…0,5) %

Võrdlusmeetod. Kalibreerimine veega

Comparison method. Calibration with water

DN15…DN40

MDK KJ 325 vers 3

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Nr

No

Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity /

calibration object

Nimiväärtus või

mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

Rõhk / Pressure

62

Ala- ja ülerõhu

mõõtevahendid

Vacuum and pressure

gauges

(-95…0) kPa

(0…40) kPa

(>40…140) kPa

(140…700) kPa

(0,7…1,4) MPa

(1,4…7) MPa

(7…14) MPa

(14…70) MPa

0,25 kPa

0,08 kPa

0,14 kPa

0,10 %

1,4 kPa

0,10 %

14 kPa

0,10 %

Võrdlusmeetod

Comparison method

MSKJ 037 vers 5

Temperatuur / Temperature

63

Termomeetrid (v.a

termopaarid ja

infrapunatermomeetrid)

Thermometers (excl.

thermocouples and

radiation thermometers)

(-40…+275) °C (0,090…0,30) °C Võrdlemine etalontermomeetriga

Comparison with standard thermometer

EURAMET cg-8 vers 3.1

MDK KJ 303 vers 3

64 Termopaarid

Thermocouples (-40…+275) °C (0,60…3,0) °C

65 Infrapunatermomeetrid

Radiation thermometers (-30…+150) °C (1,0…2,0) °C

Võrdlusmeetod / Comparison method

MSKJ 081 vers 3

Sagedus ja aeg / Frequency and time

66 Ajaintervalli mõõturid Time interval meters

≥10 s 0,050 s

Võrdlusmeetod / Comparison method

MSKJ 069 vers 4

NIST SP 960-12

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This annex is valid from 09.07.2025 to 22.03.2029

Nr

No

Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity /

calibration object

Nimiväärtus või

mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

67 Tahhomeetrid

Tachometers 0,15 Hz…3,5 kHz (6,7  10-3…4,0  10-5)  ƒ

Võrdlusmeetod / Comparison method

ƒ – sagedus / frequency, Hz

MSKJ 506 vers 2

Füüsikalis-keemilised suurused / Physicochemical quantities

68

Õhuniiskuse mõõturid

Air humidity measuring

devices

(10…95) %rh

(20…25) °C (2,0…3,0) %rh

Etalonniiskusmõõturiga võrdlemine

kliimakapis

Comparison with standard humidity

transducer in a climate chamber

MSKJ 058 vers 4

69 Alkomeetrid

Breath analysers (0,00…3,00) mg/l (0,0060…0,20) mg/l

Võrdlusmeetod / Comparison method

MSKJ 066 vers 2

Liikumisparameetrid / Motion parameters

70

Dopplereffektiga

kiirusmõõturid

Instruments for

measuring the speed of

vehicles, Doppler effect

(20…100) km/h

(>100…320) km/h

0,50 km/h

0,5 %

Võrdlusmeetod

Comparison method

MSKJ 067 vers 3

71

Laserkiirusmõõturid

Laser instruments for

measuring speed of

vehicles

(20…100) km/h

(>100…320) km/h

0,50 km/h

0,5 %

Võrdlusmeetod labori tingimustes

Comparison method in laboratory

conditions

MSKJ 068 vers 2

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Labori asukoht: Sompa 1A, Jõhvi

Location of laboratory: Sompa 1A, Jõhvi

Nr

No

Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity /

calibration object

Nimiväärtus või

mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

Pikkus / Length

72 Joonmõõdud

Line measures of length 1 mm…30 m (0,1 + 0,06  L) mm

Võrdlusmeetod

Comparison method

L – pikkus meetrites / length in meters

MSKJ 039 vers 4

73

Pikkusmõõturid ja mõõdud

Length measuring

instruments, material

measures of length

(0,5…1000) mm (0,0030…0,020) mm

Võrdlemine etalonpikkusmõõtudega

Comparison with standard measures

MSKJ 040 vers 3; MSKJ 041 vers 3

Mass / Mass

74

Vihi massi leppeline väärtus

Conventional mass of

standard weight

(10; 20; 50; 100; 200;

500) mg

1 g

2 g

5 g; 10 g

20 g; 50 g

100 g

200 g

500 g

0,10 mg

0,10 mg

0,12 mg

0,16 mg

0,25 mg

0,50 mg

1,0 mg

8,0 mg

Asendusmeetod

Substitution method

OIML R 111-1-e04

MSKJ 012 vers 4

75

Mitteautomaatkaalud

Non-automatic weighing

instruments

(1…100) mg

100 mg…1 g

(1…10) g

(10…50) g

(50…100) g 100 g…1 kg

(1…20) kg

(20…2000) kg

0,010 mg

0,020 mg

0,040 mg

0,060 mg

0,10 mg 1×10-6 × m

1×10-5 × m

2×10-5 × m

Kaalude koormamine vihtidega

Loading with weights

m – kasutatavate vihtide mass /

mass of weights

EURAMET cg-18 vers 4.0

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Nr

No

Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity /

calibration object

Nimiväärtus või

mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

Maht ja kulu / Volume and flow

76 Mahumõõdud

Capacity measures

(2…100) μl

(100…500) μl

500 μl…1 ml

(1…10) ml

(10…25) ml

(25…50) ml

(50…100) ml

(100…1000) ml

0,30 μl

0,50 μl

1,0 μl

3,0 μl

10 μl

20 μl

40 μl

0,20 ml

Destilleeritud veega mahumõõdu

kaalumine arvestades vee tihedust antud

temperatuuril

Weighing of capacity measure filled with

distilled water taking into account density

of water at given temperatuure

MSKJ 038 vers 5

(ISO 4787:2021)

(ISO 8655-6:2022)

Rõhk / Pressure

77

Ala- ja ülerõhu

mõõtevahendid

Vacuum and pressure gauges

(-95…0) kPa

(0…40) kPa

(>40…140) kPa

(140…700) kPa

(0,7…1,4) MPa

(1,4…7) MPa

(7…14) MPa

(14…70) MPa

0,25 kPa

0,08 kPa

0,14 kPa

0,10 %

1,4 kPa

0,10 %

14 kPa

0,10 %

Võrdlusmeetod

Comparison method

MSKJ 037 vers 5

Temperatuur / Temperature

78 Termomeetrid

Thermometers (-40…+350) ºC (0,10…0,30) ºC

Võrdlusmeetod

Comparison method

MDK KJ 303 vers 3

Sagedus ja aeg / Frequency and time

79 Ajaintervalli mõõturid

Time interval meters 10 s…3600 s 0,10 s

Võrdlusmeetod Comparison method

MSKJ 069 vers 4

NIST SP 960-12

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Kalibreerimine väljaspool püsilaborit

On-site calibration

Nr

No

Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity /

calibration object

Nimiväärtus või

mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

Pikkus / Length

80

Pikkuse mõõtemasinad (pideva

toimega), mõõterattad

Length measuring instruments

(continuous measurement), road

measuring wheels

Objekti pikkus mm või cm,

loenduri näidu põhjal /

Length of object in mm or

cm indicated by counter

0,05 %

Min 1 mm

Võrdlusmeetod

Comparison method

MSKJ 095 vers 1

(OIML R 66-e85)

81 Pikkusmõõturid

Length measuring instruments

(0,01…1000) mm

(>1000…2000) mm

(1,5 + 5 × L) μm

(10 + 5 × L) μm

Võrdlemine etalonpikkusmõõtudega

Comparison with standard

measures

L – pikkus meetrites / length in

meters

MSKJ 040 vers 3

MSKJ 041 vers 3

MSKJ 042 vers 3

82

Mõõtejoonlauad, stadiomeetrid,

mõõtekiilud

Rulers, stadiometers, taper gauges

1 mm…3 m (0,06 + 0,09 × L) mm

Võrdlusmeetod

Comparison method

L – pikkus meetrites / length in

meters

MSKJ 039 vers 4

83 Nurgamõõturid

Angle measuring instruments (0…360)º 5,0’’

Võrdlemine etalonmõõtudega

Comparison with standard

measures

MSKJ 047 vers 1

84

Pindepaksusmõõturid

Coating thickness measuring instruments

(0,01…3) mm (1,1…10) µm

Võrdlemine etalonmõõtudega

Comparison with standard measures

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Nr

No

Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity /

calibration object

Nimiväärtus või

mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

85

Ultraheli paksusmõõturid

Ultrasound thickness measuring

instruments

(0,5…200) mm 10 µm

MSKJ 046 vers 2

(ISO 2178:2016)

Mass / Mass

86 Mitteautomaatkaalud

Non-automatic weighing instruments

(1…100) mg 0,010 mg

Kaalude koormamine vihtidega

Loading with weights

m – kasutatavate vihtide mass /

mass of weights

EURAMET cg-18 vers 4.0

100 mg…1 g 0,020 mg

(1…10) g 0,040 mg

(10…50) g 0,060 mg

(50…100) g 0,10 mg

100 g…20 kg 1 × 10-6 × m

(20…5000) kg 2 × 10-5 × m

(5…60) t 5 × 10-5 × m

(60…150) t 1 × 10-4 × m

87

Automaatpiirkaalud, automaatsed

gravimeetrilised annustid, tsüklilise

toimega summeerkaalud, pideva

toimega summeerkaalud

Automatic catchweighers, automatic

gravimetric filling instruments,

discontinuous totalisers, continuous

totalizing automatic weighing

instruments

5 g…20 t 5 × 10-5 × m

Kaalude koormamine vihtidega

Loading with weights

m – kasutatavate vihtide mass /

mass of weights

OIML R 51-e06

OIML R 61-e17

OIML R 107-e07

OIML R 50-e14

88 Automaatsed raudteekaalud

Automatic rail-weighbridges (3…150) t 2 × 10-4 × m

Kaalude koormamine vihtidega

Loading with weights

m – kasutatavate vihtide mass /

mass of weights OIML R 106-e11

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This annex is valid from 09.07.2025 to 22.03.2029

Nr

No

Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity /

calibration object

Nimiväärtus või

mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

89

Automaatkaalud liikuva sõiduki

kaalumiseks

Automatic instruments for weighing

road vehicles in motion

(1…72) t (0,04…1,0) %

Kaalude koormamine määratud

massiga sõidukite ülesõitudega

Loading with vehicles in motion

which masses is previously

measured

AWICal WIM Guide 2018

OIML R 134-e06

Maht ja kulu / Volume and flow

90

Vedelike arvestid; kütusetankurid

Meters for the measurement of

quantities of liquids fuel dispencers

Min 2 l

Kulu/flow max 2500 l/min

Min 2 kg

Kulu/flow max 5000 kg/min

0,15 %

Mahumeetod, massimeetod

Volume and mass method

MSKJ 053 vers 4

91

Liikuvad mõõtemahutid, mis on

püsivalt paigaldatud sõidukile või

raudteeveeremile

Road and rail tanks

(5000…20000) l 0,20 %

Massimeetod

Mass method

MSKJ 022 vers 3

(500…120000) l 0,20 %

Mahumeetod

Volume method

MSKJ 022 vers 3

92

Horisontaal- ja vertikaalmahutid

Horisontal and vertical tanks

Mõõtemahutite juurde kuuluvad ning

laadimissõlmi ühendavad

püsitorustikud

Pipelines for measurements

associated with tanks

and connected to loading or

unloading terminals

20 l…30000 m3 0,30 %

Mahumeetod või geomeetriliste

mõõtmiste meetod

Volume or geometrical

measurement method

MSKJ 045 vers 5

(ISO 7507-4:2010)

(ISO 12917-1:2017)

(ISO 7507-1:2003)

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This annex is valid from 09.07.2025 to 22.03.2029

Nr

No

Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity /

calibration object

Nimiväärtus või

mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

93

Vedelikunivoo mõõturid

Measuring devices for measuring the

level of liquid

(0,01…30) m (0,5 + 9 × 10-2 × L) mm

Võrdlemine etalonpikkusmõõduga

Comparison with standard length

measure

L – kõrgus meetrites / height in

meters

MSKJ 048 vers 2

Rõhk / Pressure

94 Ala- ja ülerõhu mõõtevahendid

Vacuum and pressure gauges

(-95…-2,5) kPa

(-2,5…2,5) kPa

2,5 kPa…70 MPa

0,10 %, min 0,050 kPa

1 Pa

0,10 %, min 0,050 kPa

Võrdlusmeetod

Comparison method

MSKJ 037 vers 5

Temperatuur / Temperature

95

Termostaadid, termokapid

Temperature controlled chambers,

liquid baths and ovens

(-95…+300) °C (0,10…0,80) °C

Võrdlusmeetod

Comparison method

EURAMET cg-13 vers 4.0

EURAMET cg-20 vers 5.0

MSKJ 080 vers 3

96

Termomeetrid ja

temperatuurimeerikud

Thermometers and temperature

recorders

(-95…+700) °C (0,20…1,5) °C

Võrdlusmeetod

Comparison method

MDK KJ 303 vers 3

97 Ahjud

Furnaces (200…1550) °C (2,0…5,0) °C

Võrdlusmeetod

Comparison method

MSKJ 080 vers 3

98 Kliimakapid

Climate chambers

(10…60) °C

(1…95) %rh

0,30 °C

(1,2…3,0) %rh

Võrdlusmeetod

Comparison method

EURAMET cg-20 vers 5.0

MSKJ 080 vers 3

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This annex is valid from 09.07.2025 to 22.03.2029

Nr

No

Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity /

calibration object

Nimiväärtus või

mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

99 Temperatuurimuundurid

Temperature converters

(-50…+1200) °C

Sisend: alalispinge,

takistus

Input: DC voltage or

resistance

0,50 °C

Võrdlusmeetod

Comparison method

EURAMET cg-11 vers 2.0

Jõud ja vääne / Force and torque

100 Piduristendid

Brake testers

100 kg…20 t

(0,5…40) kN

0,4 % (mass)

(0,5…1,0) %

Kaalu koormamine vihtidega ja jõu

mõõtmine dünamomeetri ning

spetsiaalrakiste abil

Loading with weights and

measuring force using force gauge

and special fixtures

MDK KJ 008 vers 5

101

Dünamomeetrid, jõuandurid

Dynamometers, force gauges and

transducers

1 N…1 MN 0,10 %

Koormamine katsemasinal või

vihtidega

Loading with testing machine or

weights

MSKJ 071 vers 4

(ISO 376:2011) 1 MN…2 MN 0,15 %

102 Katsemasinad

Force testing machines

1 N…5 kN

(5…1000) kN

(1…2) MN

0,03 %

0,07 %

0,15 %

Etalonjõuanduriga võrdlemine või

vihtidega koormamine

Comparison with standard force

transducer or loading with weights

MSKJ 070 vers 4

(ISO 7500-1:2018)

103 Väändemõõturid

Torque measuring devices (0,01…3000) N·m (0,1…1,0) %

Võrdlusmeetod Comparison method

EURAMET cg-14 vers 2.0

MSKJ 072 vers 4

(ISO 6789-1-2:2017)

LISA tunnistusele nr K001 ANNEX to the certificate No K001

Leht/Page 27/30 Lisa kehtib perioodil 09.07.2025 kuni 22.03.2029

This annex is valid from 09.07.2025 to 22.03.2029

Nr

No

Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity /

calibration object

Nimiväärtus või

mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

Optilised suurused / Optical quantities

104 Klaaside läbipaistvusmõõturid

Window-transmittance meters

Läbipaistvus:

(5…100) %T 2,0 %T

Võrdlusmeetod

Comparison method

MSKJ 063 vers 4

105

Spektrofotomeetrid,

fotokolorimeetrid

Spectrophotometers

Photocolorimeters

T = (0…100) %

lainepikkustel /

at wavelengths

(250…1000) nm

(0,040…0,40) %T

Võrdlusmeetod

Comparison method

MSKJ 061 vers 2 spektri tipu lainepikkus /

peak wavelength

(240…880) nm

0,30 nm

106 Refraktomeetrid

Refractometers

(0…65) % mas

1,33…1,46

(0,020…0,070) % mas

1 × 10-4

Võrdlusmeetod

Comparison method

MSKJ 057 vers 2

Elektrilised suurused / Electrical quantities

107 Alalispinge mõõdud ja mõõturid

DC voltage measures and meters

1 µV…100 mV

100 mV…1V

1 V…10V

10V…100 V

100 V…1 kV

0,5 µV + 5 × 10-6 × U

0,5 µV + 2 × 10-6 × U

2 µV + 1 × 10-6 × U

10 µV + 4 × 10-6 × U

0,4 mV + 1 × 10-5 × U

Võrdlusmeetod

Comparison method

U – mõõdetava pinge väärtus /

value of measurable voltage

EURAMET cg-15 vers 3.0

MSKJ 503 vers 4

108 Alalisvoolu mõõdud ja mõõturid

DC current measures, meters

1 nA…1 mA

(1…10) mA

(10…100) mA

(0,1…1) A

(1…10) A

(10…220) A

220 A…1 kA

0,5 nA + 5 × 10-6 × I

5 nA + 8 × 10-6 × I

0,08 µA + 1 × 10-5 × I

0,8 µA + 1 × 10-5 × I

8 µA + 2 × 10-5 × I

0,1 mA + 5 × 10-4 × I

(1,2…2,0) %

Võrdlusmeetod

Comparison method

I – mõõdetava alalisvoolu väärtus /

value of measurable DC current

EURAMET cg-15 vers 3.0 MSKJ 503 vers 4

LISA tunnistusele nr K001 ANNEX to the certificate No K001

Leht/Page 28/30 Lisa kehtib perioodil 09.07.2025 kuni 22.03.2029

This annex is valid from 09.07.2025 to 22.03.2029

Nr

No

Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity /

calibration object

Nimiväärtus või

mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

109

Vahelduvpinge ja -voolu mõõdud ja

mõõturid

AC voltage and AC current measures

and meters

0,1 mV…20 V

f = 10 Hz...1 MHz

(20…200) V

f = 10 Hz...100 kHz

(200…750) V

f = 15 Hz...100 kHz

(750…1000) V

f = 15 Hz…30 kHz

(0,01…1,0) %

Võrdlusmeetod

Comparison method

f – sagedusvahemik / frequency

range

EURAMET cg-15 vers 3.0

EURAMET cg-7 vers 1.0

MSKJ 507 vers 4

10 µA…11 A;

f = 10 Hz…5 kHz

10 µA…3 kA

f = 50 Hz

(0,02…1,0) %

Võrdlusmeetod

Comparison method

f – sagedusvahemik / frequency

range

EURAMET cg-15 vers 3.0

MSKJ 507 vers 4

110

Mitmeväärtuselised alalispinge

takistusmõõdud ja -mõõturid

DC resistance measures: multi

values; meters

(0,1…1) mΩ

(1…10) mΩ

(10…100) mΩ

(0,1…1) Ω

(1…10) Ω

(10…100) Ω

(0,1…1) kΩ

(1…10) kΩ

(10…100) kΩ

(0,1…1) MΩ

(1…10) MΩ

(10…100) MΩ

(0,1…1) GΩ

(1…10) GΩ

0,05 µΩ + 3 × 10-5 × R

0,05 µΩ + 1 × 10-5 × R

0,1 µΩ + 5 × 10-6 × R

0,2 µΩ + 2 × 10-6 × R

2 µΩ + 2 × 10-6 × R

0,02 mΩ + 2 × 10-6 × R

0,2 mΩ + 2 × 10-6 × R

2 mΩ + 2 × 10-6 × R

0,02 Ω + 6 × 10-6 × R

0,6 Ω + 1 × 10-5 × R

9 Ω + 2 × 10-5 × R

0,12 kΩ + 2 × 10-5 × R

1,9 kΩ + 5 × 10-5 × R

160 kΩ + 3 × 10-4 × R

Võrdlusmeetod

Comparison method

R – mõõdetava takistuse väärtus /

value of measurable resistance

EURAMET cg-15 vers 3.0

MSKJ 014 vers 5

LISA tunnistusele nr K001 ANNEX to the certificate No K001

Leht/Page 29/30 Lisa kehtib perioodil 09.07.2025 kuni 22.03.2029

This annex is valid from 09.07.2025 to 22.03.2029

Nr

No

Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity /

calibration object

Nimiväärtus või

mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

111

Kõrgepinge allikad ja mõõturid,

alalispinge

High voltage sources and meters, DC

Väljundpinge / Output

voltage

(1…30) kV

Sisendpinge / Input voltage

(1…10) kV

(0,06…0,8) %

Võrdlusmeetod

Comparison method

MSKJ 504 vers 2

112

Kõrgepinge allikad ja mõõturid,

vahelduvpinge

High voltage sources, AC

Väljundpinge / Output

voltage

(1…30) kV

Sisendpinge / Input voltage

(1…10) kV

f = (45…65) Hz

(0,2…0,9) %

Sagedus ja aeg / Frequency and time

113 Sagedusmõõdud

Frequency measures 1 Hz…1300 MHz (1 × 10-6…1 × 10-8) × f

Võrdlusmeetod

Comparison method

t – aeg / time, s

f – sagedus / frequency, Hz

MSKJ 069 vers 4

MSKJ 506 vers 2

EURAMET cg-7 vers 1.0

114 Ajaintervalli mõõdud/mõõturid

Time interval measures and meters

10 ns…2×104 s (10 ns…1,3 × 10-8 × t)

(10…n × 86 400) s

(n ≤ 30) 0,050 s

115 Sagedusmõõturid, signaalallikad

Frequency meters, signal sources 0,01 Hz…1300 MHz (1 × 10-1…1 × 10-5) × f

Füüsikalis-keemilised suurused / Physicochemical quantities

116 pH-meetrid

pH-meters pH (2,0…9,3) 0,03

Võrdlusmeetod

Comparison method

MSKJ 060 vers 4

117

Mootorsõidukite heitgaaside

suitsususe mõõturid

Vehicle exhaust gas opacity meters

Neeldumistegur /

Light absorption coefficient

(0…10) m-1

0,025 m-1

Võrdlemine etalonfiltriga

Comparison with standard filter

MSKJ 065 vers 3

LISA tunnistusele nr K001 ANNEX to the certificate No K001

Leht/Page 30/30 Lisa kehtib perioodil 09.07.2025 kuni 22.03.2029

This annex is valid from 09.07.2025 to 22.03.2029

Nr

No

Mõõdetav suurus /

kalibreerimisobjekt

Measured quantity /

calibration object

Nimiväärtus või

mõõtepiirkond

Nominal value or range

Laiendmääramatus*

Expanded

Measurement

Uncertainty*

Meetodi lühikirjeldus ja märkused

Brief description of measurement

procedure and remarks

118 Vedelike tihedusmõõturid

Liquid density meters (0,690…1,620) g/cm3 0,00010 g/cm3

Võrdlemine etalonainega

Comparison method

MDK KJ 320 vers 5

119 Vedelike elektrijuhtivuse mõõturid

Electrical conductivity meters

14,94 µS/cm…

24,80 mS/cm

0,080 µS/cm…

0,080 mS/cm

Võrdlusmeetod

Comparison method

MSKJ 093 vers 2

*Kalibreerimis- ja mõõtevõime on väljendatud laiendmääramatusena U (k=2). Väärtus protsentides on esitatud protsendina

mõõtetulemusest (kui ei ole märgitud teisiti).

*Calibration and measurement capability is expressed as expanded uncertainty U (k=2). Values expressed as percentage are from

measurement result (if not described directly).

2. Kalibreerimist teostav struktuuriüksus: riigietaloni labor, MTD üksus

Part of legal entity that provides calibration:

3. Labor on akrediteeritud standardi EVS-EN ISO/IEC 17025:2017 nõuete kohaselt

Laboratory is accredited against the requirements of standard EVS-EN ISO/IEC 17025:2017

Märkus: käesolev akrediteerimistunnistuse lisa on välja antud seoses akrediteerimisulatuse laiendamise, kitsendamise, kalibreerimis- ja

mõõtevõime ning selle väljendusviisi täpsustamise ja Tartu labori aadressi muutumisega ning see asendab 09.12.2024 välja antud lisa.

Note: the annex is issued due to the extension and reduction of the accreditation scope, adjustment of calibration and measurement

capability and its presentation, change of the address of laboratory in Tartu and it replaces annex issued on 09.12.2024.

Paavo Ruzitš

Katsetamise, kalibreerimise ja mõõtmise üksuse akrediteerimisjuht

EAK juhataja ülesannetes

Tallinn, 09.07.2025

AG Metrology S.r.l. Strada San Faustino, 155/N

41124 Modena Italy Tel. +39 059 3970648

[email protected] www.agmetrology.it, www.agmetrology.com

Accreditation # 108949

APPROVED BY:

Giorgia Calzolari

DRAWN BY:

Andrea Meda Coordinator

SEQUENTIAL COMPARISON RESULTS

3. CONFIDENTIALITY STATEMENT

AG Metrology keeps all data regarding the performance of individual participants, or groups of participants, strictly confidential. Data is accordingly protected and stored in areas on networks with restricted access. The relationship between results and the laboratories that submitted them will never be disclosed. Only the laboratory is granted access to its performance through the assigned code number.

4. POLICY STATEMENT

The evaluation reports of AG Metrology’s proficiency testing schemes are provided for the purpose of communicating the proficiency demonstrated by participants on specific calibrations. The reports are intended to be used in support of demonstrating competence in calibration, fulfilling quality control requirements as stipulated in written standards on showing such competence, and claims of calibration and measurement capabilities.

FINAL REPORT N° AG_2024_R_0014 EN

for Standard platinum resistance thermometer

PT2023_017 - 17043T_02_EX

1. REFERENCE LABORATORY

Accredited according to ISO / IEC 17025:2017 by Certificate of accreditation n° LK-002 Slovenska Akreditacija ILAC MRA Signatory

LMK - UNIVERZA V LJUBLJANI, FAKULTETA ZA ELEKTROTEHNIKO Tržaška cesta 25 SI-1000 Ljubljana - Slovenija

2. DATE OF INTERCOMPARISON

The measurements for this intercomparison were carried out in the period from 10-2023 to 01-2024 with 6 participating laboratories, who performed measurements on the traveling sample Hart Scientific 5628 sn. 0501 .The reference laboratory specified above, accredited according to ISO IEC 17025:2017 by Certificate of accreditation n° LK-002 Slovenska Akreditacija ILAC MRA Signatory, performed measurements before first participanting laboratory and after last participanting laboratory.

We welcome your questions, complaints and suggestions for improvement of this test and our operations in general

Technical manager

PT2023_017 - 17043T_02_EX Report FInale Final Report

Pagina 1 di 23 Page 1 of 23

AG Metrology S.r.l. Strada San Faustino, 155/N

41124 Modena Italy Tel. +39 059 3970648

[email protected] www.agmetrology.it, www.agmetrology.com

Accreditation # 108949

1. REFERENCE LABORATORY 1 2. DATE OF INTERCOMPARISON 1 3. CONFIDENTIALITY STATEMENT 1 4. POLICY STATEMENT 1 5. ORGANISATION 3 6. PARTICIPANTS 3 7. PROFICIENCY TESTING SCHEME 3 8. TRAVELLING STANDARD 3 9. QUANTITY TO BE MEASURED 3

10. MEASUREMENT INSTRUCTIONS 3 11. FEEDBACK CONTROL OF THE MEASUREMENT RESULTS 4 12. CORRECTIVE ACTIONS ADOPTED 4 13. DETERMINATION OF REFERENCE VALUES 5 14. STABILITY ASSESMENT 5 15. DETERMINATION OF MEASUREMENT UNCERTAINTY OF REFERENCE VALUES 6 16. RESULTS OF INTERLABORATORY COMPARISON REFERENCE VALUES 7 17. EVALUATION CRITERIA 8 18. 9

19. RESULTS OF INTERLABORATORY COMPARISON, PARTICIPANT LABS VALUES 10 20. GRAPHICAL PRESENTATION OF ERRORS 16 21. GRAPHICAL PRESENTATION OF THE NORMALIZED ERROR 17 22. COMMENTS AND CONCLUSIONS 23 23. DISCUSSION, COMPLAINS AND APPEAL ON THE RESULTS 23 24. REFERENCES 23 25. AMENDMENT RECORD 23

TABLE OF CONTENTS

DETERMINATION OF CORRESPONDING TEMPERATURE VALUES OF PARTICIPANT LABORATORIES

FINAL REPORT N° AG_2024_R_0014 EN

PT2023_017 - 17043T_02_EX Report FInale Final Report

Pagina 2 di 23 Page 2 of 23

AG Metrology S.r.l. Strada San Faustino, 155/N

41124 Modena Italy Tel. +39 059 3970648

[email protected] www.agmetrology.it, www.agmetrology.com

Accreditation # 108949

This interlaboratory comparison was organized by AG Metrology S.r.l.

5. ORGANISATION

10. MEASUREMENT INSTRUCTIONS

The measurement instructions and those for traveling sample transporting and storing are given in the attached document 'Istruzioni tecniche - technical instructions 17043T_02_EX ' and were provided to the Participants via e-mail.

8. TRAVELLING STANDARD

FINAL REPORT N° AG_2024_R_0014 EN

The comparison was performed according to the expected schedule.

9. QUANTITY TO BE MEASURED

The error from the nominal value.

AG Metrology S.r.l. is an Italian PTP accredited in accordance with the requirements of the ISO/IEC-17043:2010 by PJLA, signatory of the ILAC MRA mutual recognition agreements, with accreditation n° 108949 and certificate n° L22-398.

6. PARTICIPANTS

Participants list, contact information and events calendar are shown in the attached document 'PT2023_017 - 17043T_02_EX Partecipanti - participants Annex A rev.02'.

7. PROFICIENCY TESTING SCHEME

A Sequential scheme was adopted for the comparison.

A Hart Scientific 5628 sn. 0501 Standard platinum resistance thermometer was used as travelling standard.

PT2023_017 - 17043T_02_EX Report FInale Final Report

Pagina 3 di 23 Page 3 of 23

AG Metrology S.r.l. Strada San Faustino, 155/N

41124 Modena Italy Tel. +39 059 3970648

[email protected] www.agmetrology.it, www.agmetrology.com

Accreditation # 108949

If a participant had not responded by a given date the original measurement values were used for the final evaluation and are presented in this Report.

12. CORRECTIVE ACTIONS ADOPTED

No corrective actions have been adopted.

FINAL REPORT N° AG_2024_R_0014 EN 11. FEEDBACK CONTROL OF THE MEASUREMENT RESULTS

After completion of the measurements of all ILC participants and of the reference laboratory the pre-evaluation of the measurement results was performed consisting in En-numbers calculation at each measurement point.

Consequently, each ILC participant received a table with its measured values and stated uncertainties, taken from its calibration certificate and used for such pre-evaluation, for the purposes of a feedback control. If a participant has detected any disagreement (any spelling mistakes in its calibration certificate, any incorrectly entered values to the table, etc.) he was supposed to respond by 5 working days from riceivement of the mail and to deliver new corrected documents with, in case of measurement values, an evidence that it was really just a mistake (a copy of the corresponding measurement record).

PT2023_017 - 17043T_02_EX Report FInale Final Report

Pagina 4 di 23 Page 4 of 23

AG Metrology S.r.l. Strada San Faustino, 155/N

41124 Modena Italy Tel. +39 059 3970648

[email protected] www.agmetrology.it, www.agmetrology.com

Accreditation # 108949

The reference values ​​were calculated by AG Metrology as the average of the calibration results reported in the certificates

- LMK0224P214 - LMK0323P238 - LMK0322P220 - LMK0321P187

The decision was to evaluate the stability of the traveling standard for each single measurement point, according to the equation:

is number of calibration performed

issued by LMK - UNIVERZA V LJUBLJANI, FAKULTETA ZA ELEKTROTEHNIKO by applying the following equation:

FINAL REPORT N° AG_2024_R_0014 EN 13. DETERMINATION OF REFERENCE VALUES

Where: is the average reference value is the result of the i calibration is number of calibration performed

The obtained results are approximated according to the indications reported in the documents [3], [4], [5].

14. STABILITY ASSESMENT

Where: is the standard uncertainty of stability is the result of the i calibration is the average reference value

= ∑=1

= ∑=1 −

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Pagina 5 di 23 Page 5 of 23

AG Metrology S.r.l. Strada San Faustino, 155/N

41124 Modena Italy Tel. +39 059 3970648

[email protected] www.agmetrology.it, www.agmetrology.com

Accreditation # 108949

FINAL REPORT N° AG_2024_R_0014 EN

is the extended uncertainty on final calibration

Then it was summed quadratically with the expanded stability uncertainty, applying the formula:

Where: is the reference expanded uncertainty inclusive of the stability contribution is the maximum extended uncertainty

15. DETERMINATION OF MEASUREMENT UNCERTAINTY OF REFERENCE VALUES

The measurement uncertainty associated with the reference values ​​is calculated as the maximum uncertainty value detected according to equation:

Where: is the maximum extended uncertainty is the extended uncertainty on initial calibration

is the extende uncertainty of stability

= ;

= 2 + 2

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Pagina 6 di 23 Page 6 of 23

AG Metrology S.r.l. Strada San Faustino, 155/N

41124 Modena Italy Tel. +39 059 3970648

[email protected] www.agmetrology.it, www.agmetrology.com

Accreditation # 108949

°C °C °C °C °C °C °C °C °C °C °C °C °C °C °C °C °C °C °C °C °C °C °C °C °C °C °C °C °C °C °C °C °C °C °C °C °C °C °C °C

0.005 0.010 100.000 0.838 0.005 0.023

0.025

EXPANDED UNCERTAINTY (K=2) EXPANDED UNCERTAINTY (K=2)

UrefM UrefMS

-196.000 0.110 0.020 0.026 -80.000 0.403 0.008 0.039 -40.000 0.495 0.005

0.000 0.585

TABLE A1: Reference values with associated uncertainties

NOMINAL VALUE

FINAL REPORT N° AG_2024_R_0014 EN 16. RESULTS OF INTERLABORATORY COMPARISON REFERENCE VALUES

ERROR (Measured - Reference)

250.000 1.231 0.005 0.035 400.000 1.633 0.012 0.056 550.000 2.043 0.012 0.091

580.00 2.13 0.02 0.10 600.00 2.18 0.02 0.11

PT2023_017 - 17043T_02_EX Report FInale Final Report

Pagina 7 di 23 Page 7 of 23

AG Metrology S.r.l. Strada San Faustino, 155/N

41124 Modena Italy Tel. +39 059 3970648

[email protected] www.agmetrology.it, www.agmetrology.com

Accreditation # 108949

Where:

is the result (error) of participant laboratory

is the result (error) of refrence laboratory

is the expanded uncertainty (k=2) given by participant laboratory

is the expanded uncertainty (k=2) given by refrence laboratory, including stability

|En| ≤ 1 Satisfactory result

|En| > 1 Unsatisfactory result

FINAL REPORT N° AG_2024_R_0014 EN 17. EVALUATION CRITERIA

Participants were asked to report their measurements in an excel sheet prepared by AG Metrology S.r.l. or in a calibration report / certificate. Section 19 contains the overview of the results of the participants, including the errors and the associated extended uncertainties. Normalized error (En) was calculated to allow evaluation of the results. The En number is calculated according to:

Criteria for performance evaluation will be based on statistical determination for En number:

= −

2 + 2

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AG Metrology S.r.l. Strada San Faustino, 155/N

41124 Modena Italy Tel. +39 059 3970648

[email protected] www.agmetrology.it, www.agmetrology.com

Accreditation # 108949

For the measuring range from 0.01 °C to 961.78 °C we used the function

Below the calculated values, approximated according to the indications reported in the documents [3], [4], [5].

Ω °C Ω °C Ω °C Ω °C Ω °C Ω °C Ω °C Ω °C Ω °C Ω °C Ω °C Ω °C Ω °C Ω °C

Ω °C Ω °C Ω °C Ω °C Ω °C Ω °C Ω °C Ω °C Ω °C Ω °C Ω °C Ω °C Ω °C Ω °C Ω °C

Ω °C Ω °C Ω °C Ω °C Ω °C Ω °C Ω °C Ω °C Ω °C Ω °C Ω °C Ω °C Ω °C Ω °C

FINAL REPORT N° AG_2024_R_0014 EN 18. DETERMINATION OF CORRESPONDING TEMPERATURE VALUES OF PARTICIPANT LABORATORIES

UUT resistance values ​​measured by participating laboratories were converted to temperature, according to indication reported on document "Measurement Standard Laboratory of New Zealand Technical Guide 21 Using SPRT Calibration Certificates".

We used standard coefficients of reference function reported in table 1 of the document and 25.5 Ω as R(273.16 K) nominal one provided by manufacturer of traveling standard. For the measuring range from 13.8033 K to 273.15 K we used the function

UUT RESISTANCE UUT CALCULATED LAB01

17.3341 21.4908 25.5592 35.6045 50.0869 63.9074 81.2817

-79.27 -39.17

0.60 100.90 251.22 401.63 602.17

LAB02 UUT RESISTANCE UUT CALCULATED

17.307 -79.53 21.475 -39.33 25.559 0.59 35.656 101.42 50.087 251.22 63.874 401.26 77.017 551.60

LAB03 LAB04

50.0701 251.04

UUT RESISTANCE UUT CALCULATED UUT RESISTANCE UUT CALCULATED

17.3008 -79.592 17.3018 -79.58 21.4579 -39.492 21.4684 -39.39

17.3147 -79.458 17.2999 -79.600 21.4639 -39.434 21.4549 -39.522

63.857 401.07 63.8968 401.51 81.126 600.30 79.5867 581.96

LAB05 LAB06

63.9033 401.584 63.9229 401.802 81.2789 602.13 81.2483 601.764

4.7885 -195.820

25.5590 0.590 25.5595 0.595 35.6001 100.855 35.6006 100.860 50.0768 251.109 50.0912 251.262

UUT RESISTANCE UUT CALCULATED

READING TEMPERATURE READING TEMPERATURE

READING TEMPERATURE READING TEMPERATURE

READING TEMPERATURE READING TEMPERATURE UUT RESISTANCE UUT CALCULATED

25.5593 0.593 25.5587 0.59 35.5946 100.800 35.5777 100.63 50.0867 251.214

90 = 273.16 0 + � =1

15

90

1 6 − 0.65

0.35

90 = 273.15 + 0 + � =1

9

90 − 2.64

1.64

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Pagina 9 di 23 Page 9 of 23

AG Metrology S.r.l. Strada San Faustino, 155/N

41124 Modena Italy Tel. +39 059 3970648

[email protected] www.agmetrology.it, www.agmetrology.com

Accreditation # 108949

°C Ω °C °C 0.05 °C Ω °C °C 0.23 °C Ω °C °C 0.17 °C Ω °C °C 0.28 °C Ω °C °C 0.32 °C Ω °C °C 0.25

°C Ω °C °C 0.31

100.02 249.94

-0.01 -39.70 -79.68

35.6045

17.3341 21.4908 25.5592

0.30

TABLE A1A: LAB01 results

19. RESULTS OF INTERLABORATORY COMPARISON, PARTICIPANT LABS VALUES

UUT READING PARTICIPANT LAB

ERROR NORMALIZED ERROR

the following tables show the results of the participants, approximated according to the indications reported in the documents [3], [4], [5], together with the normalized errors (En). En values ​​greater than 1 are displayed in red characters.

En

FINAL REPORT N° AG_2024_R_0014 EN

REFERENCE VALUE PARTICIPANT LAB

Ulab

EXPANDED UNCERTAINTY (K=2)

GRAPHICAL PRESENTATION RESULTS LAB01

399.92

599.89 0.30

0.41 0.53 0.61 0.88 1.28 1.71

2.28

50.0869 63.9074

81.2817

0.15 0.15 0.15 0.15 0.15

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8

-100.00 -50.00 0.00 50.00 100.00 150.00 200.00 250.00 300.00 350.00 400.00 450.00 500.00 550.00 600.00 650.00

Reference error °C "LAB01 error °C

PT2023_017 - 17043T_02_EX Report FInale Final Report

Pagina 10 di 23 Page 10 of 23

AG Metrology S.r.l. Strada San Faustino, 155/N

41124 Modena Italy Tel. +39 059 3970648

[email protected] www.agmetrology.it, www.agmetrology.com

Accreditation # 108949

°C Ω °C °C °C Ω °C °C °C Ω °C °C °C Ω °C °C °C Ω °C °C °C Ω °C °C °C Ω °C °C

the following tables show the results of the participants, approximated according to the indications reported in the documents [3], [4], [5], together with the normalized errors (En). En values ​​greater than 1 are displayed in red characters.

100.59 35.656 0.83 -0.15 0.00 25.559 0.59 0.08

-79.92 17.307 0.39 -0.18 -39.82 21.475 0.49 -0.08

FINAL REPORT N° AG_2024_R_0014 EN

GRAPHICAL PRESENTATION RESULTS LAB02

549.55 77.017 2.05

Ulab En

250.01 50.087 1.21 399.63 63.874 1.63

TABLE A1B: LAB02 results

UUT READING ERROR NORMALIZED ERRORPARTICIPANT LAB

REFERENCE VALUE EXPANDED UNCERTAINTY (K=2)PARTICIPANT LAB

0.06 0.06 0.06 0.05 0.11 0.11 0.11 0.05

-0.18 -0.02

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2

-100.00 -50.00 0.00 50.00 100.00 150.00 200.00 250.00 300.00 350.00 400.00 450.00 500.00 550.00 600.00

Reference error °C "LAB02 error °C

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Pagina 11 di 23 Page 11 of 23

AG Metrology S.r.l. Strada San Faustino, 155/N

41124 Modena Italy Tel. +39 059 3970648

[email protected] www.agmetrology.it, www.agmetrology.com

Accreditation # 108949

°C Ω °C °C -0.11 °C Ω °C °C -0.27 °C Ω °C °C -0.25 °C Ω °C °C -0.09 °C Ω °C °C -0.20 °C Ω °C °C -0.19 °C Ω °C °C -0.05

°C Ω °C °C 0.11

the following tables show the results of the participants, approximated according to the indications reported in the documents [3], [4], [5], together with the normalized errors (En). En values ​​greater than 1 are displayed in red characters.

GRAPHICAL PRESENTATION RESULTS LAB03

249.993 1.221 0.040 399.47 1.60 0.6663.857

2.28598.02 0.9381.126

0.010 0.583 0.020 99.968 0.832 0.020

25.5593 35.5946 50.0867

-39.979 0.487 0.020

TABLE A1C: LAB03 results

UUT READING ERROR NORMALIZED ERRORPARTICIPANT LAB

-195.921 0.101 0.080 Ulab

4.7885 17.3008 21.4579

REFERENCE VALUE PARTICIPANT LAB

FINAL REPORT N° AG_2024_R_0014 EN

-79.980 0.388 0.040

En

EXPANDED UNCERTAINTY (K=2)

0.0

0.2

0.4

0.6

0.8

1.0

1.2

1.4

1.6

1.8

2.0

2.2

2.4

2.6

2.8

3.0

3.2

3.4

-200.0 -150.0 -100.0 -50.0 0.0 50.0 100.0 150.0 200.0 250.0 300.0 350.0 400.0 450.0 500.0 550.0 600.0 650.0

Reference error °C "LAB03 error °C

PT2023_017 - 17043T_02_EX Report FInale Final Report

Pagina 12 di 23 Page 12 of 23

AG Metrology S.r.l. Strada San Faustino, 155/N

41124 Modena Italy Tel. +39 059 3970648

[email protected] www.agmetrology.it, www.agmetrology.com

Accreditation # 108949

°C Ω °C °C °C Ω °C °C °C Ω °C °C °C Ω °C °C °C Ω °C °C °C Ω °C °C

°C Ω °C °C

the following tables show the results of the participants, approximated according to the indications reported in the documents [3], [4], [5], together with the normalized errors (En). En values ​​greater than 1 are displayed in red characters.

FINAL REPORT N° AG_2024_R_0014 EN

TABLE A1D: LAB04 results

UUT READING ERROR NORMALIZED ERRORPARTICIPANT LAB

REFERENCE VALUE EXPANDED UNCERTAINTY (K=2)PARTICIPANT LAB Ulab En

GRAPHICAL PRESENTATION RESULTS LAB04

579.81 79.5867 2.15 0.140.10

249.82 50.0701 1.22 -0.18 399.84 63.8968 1.67 0.32

0.05 0.10

0.00 25.5587 0.59 0.10 99.82 35.5777 0.81 -0.51

-79.97 17.3018 0.39 -0.18 -39.91 21.4684 0.52 0.38

0.06 0.06 0.05 0.05

0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4

-100.00 -50.00 0.00 50.00 100.00 150.00 200.00 250.00 300.00 350.00 400.00 450.00 500.00 550.00 600.00

Reference error °C "LAB04 error °C

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Pagina 13 di 23 Page 13 of 23

AG Metrology S.r.l. Strada San Faustino, 155/N