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The inherent delay property of APF system is not considered by the deadbeat control within active filter control methods, so it is difficult to realize dynamically real-time tracking and harmonic compensation. The computation of the double-step deadbeat control based on the grey predictive control theory is of complexity and high error risk. Facing up the above shortcomings, a new single step deadbeat control method based on grey predictive theory is presented. With this method the harmonic components' real-time compensation is realized, and the error risk is decreased. The simulation results show the method is effective and excellent.