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The research on the application of the 3-phase high power PWM (Pulse Width Modulation) rectifier in the battery charge and discharge device has been a hotspot in the field of power electronics and control. As the traditional PID controller is difficult to achieve the optimum parameters, this paper proposes a new control method of PWM rectifier based on Genetic Algorithm (GA). The design of the PWM rectifier bases on double closed-loop method and SVM (Space Vector Modulation). The experimental results demonstrate the feasibility of the proposed control strategy and the superiority of improving the rectifier transformer efficiency.