Time-Dependent Complex Quantities and Instantaneous Complex Power

Abstract

It is shown that, in the analysis of a linear system in sinusoidal steady state, time-dependent complex quantities (voltage, current, etc.) afford the same convenience as time-independent phasors, for example in writing equations in terms of complex impedance or gain. They provide a logical, mathematically sound approach to the complex notation, and to the definition of instantaneous and average complex, active and reactive powers.