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 phys ical (or engineering) sense, for "active and reactive powers" as functions of time. The model is based on the time domain decomposition of the instant aneous power p(t) into two components: p(t)=a(t)+ r(t). Where, a(t) represe nts the instantaneous power consumed by the (linear or nonlinear) load. The information regarding the store/restore process is contained in r(t). In c ontrast with the traditional frequency domain model in which powers are def ined orthogonal (i.e. S-2 = P-2 + Q(2) + D-2 +...) and therefore they do no t interact with each other, the proposed model permits the interaction of a ctive and reactive powers at every instant. Using the model of the paper we can obtain the instantaneous power needed for compensation of both, wave s hape and power factor.