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How to overcome the limitations of p-q Theory: Geometric Algebra Power\n Theory to the rescue

2020/05/09 by Francisco G. Montoya, Montoya, Francisco G., Alfredo Alcayde +5
Computer Science · Engineering · #Control and Stability of Dynamical Systems #FOS: Electrical engineering #Modeling and Simulation Systems #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.2005.04528

openalex publication_date 2020/05/09 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

This paper investigates the recent advances in Geometric Algebra-based power\ntheory (GAPoT) and how this tool provides new insights to solve the flaws of\none of the most widespread theory in the time domain, the Instantaneous\nReactive Power theory (IRP) and its further enhancements. GAPoT can be applied\nto single-phase and multi-phase systems to obtain an optimal current\ndecomposition under any distorted voltage source supply and load condition.\nThis could be the case in microgrids or smart grids. Moreover, it is possible\nto define different strategies based on instantaneous or averaged quantities\ndepending on whether the voltage supply conditions are sinusoidal and\nsymmetrical or not. Several examples illustrate how GAPoT is able to overcome\nthe limitations of IRP theory.\n

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