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This paper investigates the recent advances in Geometric Algebra-based powertheory (GAPoT) and how this tool provides new insights to solve the flaws ofone of the most widespread theory in the time domain, the InstantaneousReactive Power theory (IRP) and its further enhancements. GAPoT can be appliedto single-phase and multi-phase systems to obtain an optimal currentdecomposition under any distorted voltage source supply and load condition.This could be the case in microgrids or smart grids. Moreover, it is possibleto define different strategies based on instantaneous or averaged quantitiesdepending on whether the voltage supply conditions are sinusoidal andsymmetrical or not. Several examples illustrate how GAPoT is able to overcomethe limitations of IRP theory.

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