Abstract: This paper proposes a compound control strategy concerning the characteristics of fast rapidity in the deadbeat control with low steady-state precision, and in the repeated control method, vice versa. The APF pressure level has been greatly improved when the method is applied in the cascade H bridge seven level topology structure. The simulation was built in MATLAB. Compared among deadbeat control, repeated control and compound control methods, which suggests that the compound control strategy issued in this paper possess excellent dynamic and steady-state characteristics in effectively compensating the harmonics in order to improve the quality of power grid.