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This paper presents the dynamic model and control strategy of active power filter (APF) on dq0-frame in three-phase four-wire system. The structure of the APF is the three-leg splitcapacitor. The dq0-frame with Fourier (DQF) method is used to calculate the reference currents on dq0-frame. The pulse width modulation (PWM) with PI controllers is considered in the paper. Moreover, the principle of the PI controller design for three current loops and two voltage loops are completely presented. The discrete design approach is used to design all controllers in the system. In addition, the hardware in the loop (HIL) technique is applied to simulate the harmonic elimination using the APF in the paper. The results show that the control strategy and the design approach presented in the paper can provide the good performance of the APF. Furthermore, the source currents after compensation can also

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