A Geometric Algebra approach to decomposition of apparent power in general polyphase networks

In this paper we demonstrate that Geometric Algebra provides a natural conceptual framework for the construction of physically meaningful orthogonal decompositions of apparent power. We use the tools of geometric algebra to introduce an apparent power multivector that consists of four distinct grades: a scalar, a bivector, a pseudo-bivector, and a pseudo-scalar. These four components represent the (weighted) average and variance of certain equivalent conductance and susceptance parameter sets.