Sampling Rate Impact on Electrical Power Measurements Based on Conservative Power Theory

This article presents a study of the sampling rate effect on electrical power measurements whose definitions are based on the Conservative Power Theory (CPT). The definitions of active power and reactive power of the CPT were applied in the MATLAB<sup>®</sup> software by varying the samp...

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Main Authors: Larissa R. Souza, Ruben B. Godoy, Matheus A. de Souza, Luigi G. Junior, Moacyr A. G. de Brito
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/14/19/6285
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author Larissa R. Souza
Ruben B. Godoy
Matheus A. de Souza
Luigi G. Junior
Moacyr A. G. de Brito
author_facet Larissa R. Souza
Ruben B. Godoy
Matheus A. de Souza
Luigi G. Junior
Moacyr A. G. de Brito
author_sort Larissa R. Souza
collection DOAJ
description This article presents a study of the sampling rate effect on electrical power measurements whose definitions are based on the Conservative Power Theory (CPT). The definitions of active power and reactive power of the CPT were applied in the MATLAB<sup>®</sup> software by varying the sampling rate and using a digital power meter as a reference. The measurements were performed in scenarios with linear and non-linear loads. Due to the usage of an integral in the CPT calculus, an error was verified associated with the reactive power being inversely proportional to the sampling rate. From the present study, it is possible to conclude that depending on the sample rate, the errors associated with the reactive power measurements are unacceptable and make the CPT implementation unfeasible. The results also presented effective information about the minimal sampling rate needed to make these errors neglected and to assist in choosing suitable microprocessors for the digital implementation of the CPT. It is worth mentioning that this paper was limited to assess how accurate the measurements of active and reactive powers were and important to highlight that the CPT has the additional contribution of dealing with distortion currents and consequently new portions of powers. For the latter, the influence of sampling rate may be crucial and new lines of investigation are motivated.
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spelling doaj.art-97e0bdf8c7844d2cb17a4dd316623b962023-11-22T16:02:04ZengMDPI AGEnergies1996-10732021-10-011419628510.3390/en14196285Sampling Rate Impact on Electrical Power Measurements Based on Conservative Power TheoryLarissa R. Souza0Ruben B. Godoy1Matheus A. de Souza2Luigi G. Junior3Moacyr A. G. de Brito4Electrical Engineering Department, Faculty of Engineering, Architecture and Urbanism and Geography—FAENG, Federal University of Mato Grosso do Sul—UFMS, Costa e Silva Avenue, Campo Grande 79070-900, MS, BrazilElectrical Engineering Department, Faculty of Engineering, Architecture and Urbanism and Geography—FAENG, Federal University of Mato Grosso do Sul—UFMS, Costa e Silva Avenue, Campo Grande 79070-900, MS, BrazilElectrical Engineering Department, Faculty of Engineering, Architecture and Urbanism and Geography—FAENG, Federal University of Mato Grosso do Sul—UFMS, Costa e Silva Avenue, Campo Grande 79070-900, MS, BrazilElectrical Engineering Department, Faculty of Engineering, Architecture and Urbanism and Geography—FAENG, Federal University of Mato Grosso do Sul—UFMS, Costa e Silva Avenue, Campo Grande 79070-900, MS, BrazilElectrical Engineering Department, Faculty of Engineering, Architecture and Urbanism and Geography—FAENG, Federal University of Mato Grosso do Sul—UFMS, Costa e Silva Avenue, Campo Grande 79070-900, MS, BrazilThis article presents a study of the sampling rate effect on electrical power measurements whose definitions are based on the Conservative Power Theory (CPT). The definitions of active power and reactive power of the CPT were applied in the MATLAB<sup>®</sup> software by varying the sampling rate and using a digital power meter as a reference. The measurements were performed in scenarios with linear and non-linear loads. Due to the usage of an integral in the CPT calculus, an error was verified associated with the reactive power being inversely proportional to the sampling rate. From the present study, it is possible to conclude that depending on the sample rate, the errors associated with the reactive power measurements are unacceptable and make the CPT implementation unfeasible. The results also presented effective information about the minimal sampling rate needed to make these errors neglected and to assist in choosing suitable microprocessors for the digital implementation of the CPT. It is worth mentioning that this paper was limited to assess how accurate the measurements of active and reactive powers were and important to highlight that the CPT has the additional contribution of dealing with distortion currents and consequently new portions of powers. For the latter, the influence of sampling rate may be crucial and new lines of investigation are motivated.https://www.mdpi.com/1996-1073/14/19/6285accurate measurementsConservative Power Theorysampling rate
spellingShingle Larissa R. Souza
Ruben B. Godoy
Matheus A. de Souza
Luigi G. Junior
Moacyr A. G. de Brito
Sampling Rate Impact on Electrical Power Measurements Based on Conservative Power Theory
Energies
accurate measurements
Conservative Power Theory
sampling rate
title Sampling Rate Impact on Electrical Power Measurements Based on Conservative Power Theory
title_full Sampling Rate Impact on Electrical Power Measurements Based on Conservative Power Theory
title_fullStr Sampling Rate Impact on Electrical Power Measurements Based on Conservative Power Theory
title_full_unstemmed Sampling Rate Impact on Electrical Power Measurements Based on Conservative Power Theory
title_short Sampling Rate Impact on Electrical Power Measurements Based on Conservative Power Theory
title_sort sampling rate impact on electrical power measurements based on conservative power theory
topic accurate measurements
Conservative Power Theory
sampling rate
url https://www.mdpi.com/1996-1073/14/19/6285
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