Power components under nonsinusoidal conditions using a power multivector

Abstract

In this paper, a description of power components in single-phase circuits under nonsinusoidal conditions is provided from a quantitative as well as a qualitative perspective. The representation of power is based on Geometric Algebra, a mathematical tool that provides the means to encode all the necessary information in a single entity. This entity is the power multivector, which is analogous to complex power under sinusoidal conditions. An interpretation of each power component is then derived, based on a generalization of the concept of mutual coupling. It is also verified that this approach is consistent with other well-established methods.