The instantaneous power theory based on mapping matrices in three-phase four-wire systems

Characteristics of the instantaneous active/reactive powers and zero-sequence current/voltages are analyzed in three-phase four-wire systems. Control strategy for an active filter without energy storage components is proposed on the basis of mapping matrices. It can compensate for the zero-sequence current, irrespectively of whether or not a zero-sequence voltage exists in three-phase four-wire systems.