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This paper presents Boost Converter Control strategy for a three-phase four-leg Active Power Filter (APF). In the proposed control method, voltage source model is established for APF system, and the compensation of system current is equivalent to the compensation of the proposed voltage source. This method explains the working principles of the Voltage Source Inverter (VSI) on current compensation through the perspective of power conversion. To eliminate the impact of uncertain factors and improve the robustness of the control loop, Iterative Learning Control is inserted. The switching model of the system is constructed and control loops are given. The simulation results demonstrate the validity of the proposed control method.