This document presents a research proposal on the area known as Power Theories. Research in this area aim to discuss and propose new formulas for the calculation of current and power components that represent different electrical system's operation. In this context, some theories have been proposed in the time domain and the other in the frequency domain, and besides some time domain formulations are able to deal with circuits under non-sinusoidal conditions, a detailed analysis of distorted signals usually involves mathematical tools in the frequency domain, such as Fast Fourier Transform (FFT). Other theories still carry balances between time and frequency domains, such as the definitions of the Conservative Power Theory (CPT), proposed by Tenti et al. in 2010. The CPT suggests the decomposition of the original current of a circuit into various subcomponents, among which we highlight the residual current (or zero) and parcels, which is directly associated with non-linearities between the voltage and current signals. In a circuit powered by a purely sinusoidal voltage, the residual current expresses the presence of non-linear loads (electronic) and associated with the current harmonic components. However, under non-sinusoidal voltages, the interpretation of the residual current is more complex and requires the application of (TRF) to characterize the effects caused by the loads, those imposed by the voltages. However, such an interpretation and characterization of circuits in these conditions is still very controversial, indicating the need for in-depth studies. Thus, the objective of this project is the study and interpretation of the Conservative Power Theory, seeking to deepen the knowledge on the definition of residual currents, as well as terms of residual power and its correlation with particular physical phenomena.
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