The mode and principle of VIENNA rectifier are analyzed, and the current and voltage double closed-loop control scheme is selected by analyzing the characteristics of the system and mathematical modeling. The feedforward decoupling control method is used to reduce the errors caused by strong coupling and nonlinearity in the inner current loop, which increases the rapidity and accuracy of the current loop. PI control is added to the outer loop voltage loop, which reduces the output voltage fluctuation caused by disturbance and improves the stability of the system. Finally, MATLAB simulation verifies that the system can be fast and stable, which reflects the accuracy and rationality of the current and voltage double closedloop control.