Unified General Phasor Transformation for AC Converters

Abstract

Ageneral phasor transformation theory for analyzing all linear ac converters such as inverters, rectifiers, cycloconverters, and resonant converters is suggested by unifying the circuit D-Q transformation for polyphase ac converters and the phasor transformation for single-phase ac converters. The system order of polyphase ac converters is degenerated to that of single-phase converters, and the switches in all ac converters, regardless of the numbers of switches and poles, are replaced with an equivalent transformer with a complex turn-ratio. The analysis of ac converters is drastically simplified by the proposed circuit-oriented approach.