| Because VIENNA rectifier has the characteristics of strong coupling and non-linearity, this paper establishes the d-q coordinate axis mathematical model of VIENNA rectifier, adopts backstepping control strategy to control DC voltage and d-q axis current. A simplified algorithm based on two-level SVPWM is transplanted into VIENNA rectifier. The working principle of space vector modulation of VIENNA rectifier is analyzed, and on this basis, software arithmetic is used to adjust the action time of P and N small vectors to achieve the balance of neutral potential. Finally, a simulation platform is built by using MATLAB/SIMULINK software to verify the rationality and effectiveness of the the proposed control strategy. Compared with the traditional PI control, the backstepping control increases the stability of the output DC voltage, improves the current harmonics, further improves the power factor under the neutral potential balance adjustment, and makes the VIENNA rectifier have better dynamic performance.