Compensation-Based Non-Active Power Definition

Abstract

Abstract—This paper presents a new definition of nonactive cur-rent from which the definitions of instantaneous active and non-active power are also derived. The definitions are consistent with the traditional power definitions and valid for single-phase and polyphase systems, as well as periodic and nonperiodic waveforms. The definitions are applied to a shunt compensation system. The paper elaborates on the compensation of three different cases of nonperiodic current: single-phase disturbance, three-phase sub-harmonics, and three-phase stochastic current. Simulation results give credibility to the applicability of the definition for a diversity of load currents. According to different compensation cases and the goals to be achieved, different averaging time intervals for the compensator are chosen which will determine the compensator’s energy storage requirement and the extent of residual distortion in the source current. Index Terms—Active filter, nonactive power, reactive power, shunt compensator. I.