This paper deals with a dynamical modelling in view of behavior analysis of double stars induction machine (DSIM) supplied by voltage source PWM inverter. Two modelling approaches are elaborated. In the first one the stator armatures of the DSIM are described by two coupled circuits in Concordia's frame. In the second approach the stator armatures of the DSIM are described by two decoupled circuits. One is equivalent to the model of three phase machine in Concordia's frame. And the other is equivalent to a passive circuit and does not produce torque. Based on the established electrical circuits, the effect of supply mode and the increasing of the inverter level on the current quality and the torque ripples are analyzed.