China Fusion Engineering Test Reactor (CFETR) plans to build a 200kV/25A accelerator grid power supply (AGPS) for the negative-ion-based neutral beam injector (N-NBI) prototype system. The AGPS uses a rectifier-inverter-isolated step-up structure. There is a DC bus between the rectifier and the inverter. In order to limit DC bus voltage ripple and transient fluctuations, a large number of capacitors are used, which degrades the reliability of the power supply and occupies a large amount of space. This paper finds that due to the difference in the turn-off time of the rectifier and the inverter, the capacitance mainly depends on the rectifier current when the inverter is turned off. On this basis, a power active filter (APF) scheme is proposed to absorb the current. To enhance the dynamic response ability of APF, model predictive control is adopted. In this paper, the circuit structure of APF is introduced, the prediction model is deduced, the corresponding control strategy and signal detection method are proposed, and the simulation and experimental results show that APF can track the transient current of DC bus and reduce the voltage fluctuation obviously.