<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>As harmonic distortion of voltage and current is reality in the power system, the need for accurate measurement of electrical power and energy goes beyond the instruments’ specifications and calibration procedures regarding pure sine wave signals. Several international standards and recommendations provide test signals for examination of electricity meters under non-sinusoidal conditions, however, not all of the test signal parameters’ possible states are faithfully represented in those documents. Because the high order harmonics may possess random amplitudes and phase shifts in relation to components at fundamental frequency, it is important that the meter’s performance is verified with random waveforms as well. The non-linear dependence between the measured power/energy and the phase shifts, both between fundamental and harmonic components, provides additional complexity of such an analysis. Simple test signals, which are in accordance with the standards’ demands and propositions, are used for determination of the measurement error in case of different harmonic distortion parameter change. In order for a general error function for any measurement device to be determined, mathematical modelling, regarding the results from multiple tests, is performed. The mathematical model presents a strong dependence between a single component’s phase shifts and a meter’s error and it provides a systematization of all signal parameters’ influence on the measurement accuracy.</p>
</abstract>

As harmonic distortion of voltage and current is reality in the power system, the need for accurate measurement of electrical power and energy goes beyond the instruments’ specifications and calibration procedures regarding pure sine wave signals. Several international standards and recommendations provide test signals for examination of electricity meters under non-sinusoidal conditions, however, not all of the test signal parameters’ possible states are faithfully represented in those documents. Because the high order harmonics may possess random amplitudes and phase shifts in relation to components at fundamental frequency, it is important that the meter’s performance is verified with random waveforms as well. The non-linear dependence between the measured power/energy and the phase shifts, both between fundamental and harmonic components, provides additional complexity of such an analysis. Simple test signals, which are in accordance with the standards’ demands and propositions, are used for determination of the measurement error in case of different harmonic distortion parameter change. In order for a general error function for any measurement device to be determined, mathematical modelling, regarding the results from multiple tests, is performed. The mathematical model presents a strong dependence between a single component’s phase shifts and a meter’s error and it provides a systematization of all signal parameters’ influence on the measurement accuracy.

Analysis of Errors in Active Power and Energy Measurements Under Random Harmonic Distortion Conditions

Ss. Cyril and Methodius University in Skopje (UKIM)

Measurement Science Review

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

As harmonic distortion of voltage and current is reality in the power system, the need for accurate measurement of electrical power and energy goes beyond the...

Analysis of Errors in Active Power and Energy Measurements Under Random Harmonic Distortion Conditions

Published Online: Oct 26, 2021

Page range: 168 - 179

Received: Aug 24, 2021

Accepted: Oct 10, 2021

DOI: https://doi.org/10.2478/msr-2021-0023

Keywords
High order harmonics, phase shift, error function, electricity meter, reference standard

© 2021 Kiril Demerdziev et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Analysis of Errors in Active Power and Energy Measurements Under Random Harmonic Distortion Conditions

Published Online: Oct 26, 2021

Page range: 168 - 179

Received: Aug 24, 2021

Accepted: Oct 10, 2021

DOI: https://doi.org/10.2478/msr-2021-0023

KeywordsHigh order harmonics, phase shift, error function, electricity meter, reference standard

© 2021 Kiril Demerdziev et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
High order harmonics, phase shift, error function, electricity meter, reference standard