This research focuses on the speed control of induction motor using voltage to frequency control. While minimizing total harmonic distortion. Control strategy maintains a constant V/f ratio to ensure the motor operates at near-constant maximum torque. The circuit for the motor drive is straightforward, and there is little harmonic distortion in the motor current. To determine the optimal switching angles regarding the inverter, a hybrid algorithm combining Ant colony optimization and genetic algorithms are employed to solve nonlinear equations, effectively eliminating low order harmonics in motor voltage. The research presents both theoretical analysis and simulation of a single-phase inverter for induction motor drive with wide range of motor speed, the drive system using selective harmonic elimination has high utilization of input DC voltage and low switching losses due to reduction of number of pulses in the gate signals of power switches compared with other type of PWM strategies that have the same lowest order harmonics in the output waveforms. The results were validated through simulations obtained using MATLAB/Simulink.