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Because of the widely-used nonlinear loads,the problems of harmonics and low power factor in power systems are becoming more and more serious.In view of the above problems,a shunt three-phase active power filter(SAPF)based on discrete sliding mode control to suppress the harmonics was designed and the power factor improved.First,built the mathematical model of SAPF.Then,controlled the switch through analyzing the harmonic current that was controlled signal using discrete sliding mode control.Through simulation using MATLAB,verified the validity of the algorithm.By the simulation waveforms,it can be found that after the load current containing a large number of harmonics passes the active power filter,the waveform of the power current approximately becomes a sine wave and the harmonics is significantly reduced.As a result,it plays a good role in purifying power systems.Moreover,from the waveforms of harmonic current and power current,it can be found that the algorithm has a faster tracking speed.The waveform can be stably tracked in the half cycle and real-time if the algorithm is perfect.