A new interpretation of the phasor theory on powers under non-sinusoidal current

This paper is aimed to finding the corelation between the instantaneous complex powers components and the steady state powers under non-sinusoidal current (apparent power, active power, reactive power and distortion power). So, to ascertain that compensating of alternative parts of instantaneous active and reactive powers establishes a sinusoidal current in the parallel active filter using. The mathematical demonstration is found. Also, definitions for apparent power, distortion power and complex instantaneous distortion power are introduced. These definitions verify the orthogonal condition of active, reactive and distortion powers. The DC motor and full control rectifier driving system is used as study case.