In this paper analytical solutions of the currents when a three-phase, six-step voltage-source inverter (VSI) is feeding an induction motor (IM), are presented. Explicit analytical expressions of the steady-state current of the motor
and of the input current of the inverter and of its switching elements are derived instead of using numerical solution
methods. To check the validity of the presented analytical solutions, the results obtained of the motor currents and of the currents of the switching elements of the inverter were compared with previously published results, and the two sets of results were found to be identical.