Analysis of a three-phase induction machine including time and space harmonic effects: the a, b, c reference frame

This paper presents a mathematical modeling that uses the concept of harmonic inductances to derive voltage and torque equations of a three-phase induction machine using a, b, c and A, B, C formulation. Phase currents and electromagnetic torque are obtained by numerical integration of equations considering any supply voltage waveform. Two cases were studied-operation of induction motor supplied with sinusoidal waveform, and operation of an induction motor supplied by a three-phase inverter.