Power measurements based on the Conservative Power Theory with a reduced sampling rate for lowering implementation cost

Victor Auler de Almeida Prado, Nicholas Delben de Andrade, Ianca Moraes Silva de Jesus, Ruben Barros Godoy, Edson Antônio Batista, Moacyr Aureliano Gomes de Brito

Abstract


This paper proposes a digital implementation of the Conservative Power Theory (CPT) using reduced sampling rates below 300 Hz, while maintaining acceptable accuracy and precision. Computer simulations at an 8 kHz sampling rate showed power calculation errors below 5% compared to an ideal continuous-time reference. Sampling rates under 300 Hz were found to yield similar performance. The study included active, reactive, and non-conventional power quantities under unbalanced load and distorted waveform conditions, tested on unbalanced RL and nonlinear three-phase circuits. Hypothesis testing confirmed that 84.6% of cases had mean percentage errors below 10%, and 61.5% below 2%. This approach significantly reduces computational costs, enabling low-cost, low-power microcontroller implementations without compromising accuracy or precision.


Keywords


Conservative Power Theory, Harmonics, Reduced Computational Cost, Reduced Sample Rate.

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References


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DOI: http://dx.doi.org/10.5281/zenodo.15587020

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Copyright (c) 2025 Victor Auler de Almeida Prado, Nicholas Delben de Andrade, Ianca Moraes Silva de Jesus, Ruben Barros Godoy, Edson Antônio Batista, Moacyr Aureliano Gomes de Brito

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