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An approach to model the current-source-inverter-fed induction motor drive is presented. The mathematical model takes into account the rectifier, inverter, and induction motor dynamics and is established in the stationary reference frame. For controlling the drive speed, a modified indirect field-oriented control is proposed. To counter the effects of torque pulsations at very low speeds and the rotor resistance variation, a slip angle compensation loop is included in the control law formulation. Both computer simulation and simulation results are presented.