In order to improve the filtering performance and operation stability of the active power filter（ APF）

a DC side voltage stability control method based on model predictive control（ MPC） algorithm is proposed. And on this basis

a simplified control method of hysteresis loop space vector pulse width modulation（ SVPWM） is also proposed. The suitable prediction model is adopted to ensure the stability of the DC side voltage by analyzing the main influence factors of the DC side voltage. The switching state of the three phase compensation device can be directly judged by using the maximum and minimum phases in the three-phase voltage

and error current state.which avoided a large number of voltage vector and current error vector of the regional judgment and the choice of the final vector

and improved the system’s response speed and control accuracy. Simulation and experimental results demonstrate the feasibility and superiority of the proposed control strategy.