Physical time domain representation of powers in linear and nonlinear electrical circuits

This paper presents a time domain model for the representation of powers in linear and nonlinear electrical circuits. The model can account, in a physical (or engineering) sense, for "active and reactive powers" as functions of time. The model is based on the time domain decomposition of the instantaneous power p(t) into two components: p(t)=a(t)+ r(t). Where, a(t) represents the instantaneous power consumed by the (linear or nonlinear) load. The information regarding the store/restore process is contained in r(t). In contrast with the traditional frequency domain model in which powers are defined orthogonal (i.e., S² = P² + Q² + D² + ...) and therefore they do not interact with each other, the proposed model permits the interaction of active and re-active powers at every instant. Using the model of the paper we can obtain the instantaneous power needed for compensation of both, wave shape and power factor.