Current inverters apply essentially nonsinusoidal current to induction machines. The fundamental of the current produces the average output torque, and the harmonics produce torque pulsations. An analytical method to determine torque pulsations is established and verified by comparing its results to those obtained using numerical simulation. An optimization technique is proposed to determine the optimal wave form which minimizes torque pulsations. We proved that a significant reduction in torque pulsations can be achieved by controlling the instant current value according to an optimum pattern.