Currents' Physical Components (CPC) in the time-domain: Single-phase systems

This paper presents a time-domain derivation of the Currents' Physical Components (CPC) power theory using standard results from mathematical systems theory. Consequently, piece-wise continuous currents and voltages, such as square waves and sawtooth signals, can naturally be taken into account without approximating them by a finite number of harmonics. The results are illustrated using two electrical circuits that have been used in the literature to reveal the need for a proper power decomposition.