Mathematical Model of a Five-Phase Pentagon Connected IM Supplied by a Rectangular Voltage

Abstract

The presented article deals with steady-state analysis of five-phase Induction Motor (IM) pentagon connected, which is supplied by rectangular voltage from five-legs Voltage Source Inverter (VSI). Complex Fourier-series was used to express inverter terminal voltages. Based on mathematically described inverter output voltages, a formula for VSI output space phasor was derived. Assuming sinusoidal motor winding distribution and on the basis of motor parameters, stator and rotor current space phasors for were determined a defined motor load. Finally, the electromagnetic torque ripple waveforms for different IM operation states were investigated.