Effects of currents decomposition on power calculation in nonsinusoidal conditions
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ORIGINAL PAPER
Effects of currents decomposition on power calculation in nonsinusoidal conditions Rodrigo de Almeida Coelho1 Érica Mangueira Lima1
· Núbia Silva Dantas Brito2 · George Rossany Soares de Lira2 ·
Received: 7 October 2019 / Accepted: 1 June 2020 © Springer-Verlag GmbH Germany, part of Springer Nature 2020
Abstract The increased usage of nonlinear loads in electric systems has dissociated the voltage and current signals from the ideal sinusoidal form and, as a consequence, the traditional power calculation is no longer satisfactory. Several power calculation theories applied to nonsinusoidal signals have been proposed; however, there is no general agreement among them. This paper is inserted in this context, reviewing traditional and non-traditional electric power theories for three-phase four-wire systems. The power theories used in this study were the currents’ physical components power theory, the theory of instantaneous power, the Fryze–Buchholz–Depenbrock power theory, the IEEE standard 1459, and the conservative power theory. The mathematical definitions of power theories aforementioned were implemented and applied to real data. Furthermore, the effect of current decomposition based on different power theories was analyzed. The analysis of power theories indicates the particularities of its definitions and the results indicated that reactive current compensation may not minimize circuit losses significantly. Keywords Power quality · Power theory · Power quantities · Reactive and non-active power · Current decomposition · Nonsinusoidal signals
1 Introduction Power definitions in single-phase systems compound by sinusoidal voltages and currents are universally accepted. The traditional power definitions could be applied to three-phase systems if the waveforms of such systems resemble pure sinusoids and balanced in the three phases [1]. However, when circuits do not fit into these conditions, conventional power definitions are insufficient to characterize and quantify energy transfer in a system [2]. Hence, traditional power definitions are unsuitable for nonsinusoidal cases [3]. The advancement of power electronics has introduced massive nonlinear time-dependent loads that distort voltage and current waveforms [4], ultimately leveraging the impor-
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Rodrigo de Almeida Coelho [email protected]
1
Post-Graduate Program in Electrical Engineering, Federal University of Campina Grande, Aprigio Veloso St, 882, Bodocongó, Campina Grande, Paraíba, Brazil
2
Electrical Engineering Department, Federal University of Campina Grande, Aprigio Veloso St, 882, Bodocongó, Campina Grande, Paraíba, Brazil
tance of this theme to the specialized scientific community. In this context, the power quality (PQ) analysis is highlighted, which is related to voltage and current deviations from the ideal waveforms and nominal values [5]. Historically, Steinmetz [6] was the first to observe that, for nonsinusoidal signals, the difference between apparent and active powers (S ≥ P) is not caused by a phase ch
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