Abstract: In view of the fact that the grid-connected matrix converter in wind power generation system has a low PWM switching frequency and a large harmonic content in output current,this paper proposes that the typical induc-tance filter in the grid side of grid-connected matrix converter should be replaced by T-filter to restrain the harmonic current.A T-filter-based system model is built for the three-phase grid-connected matrix converter and its stability is analyzed.In addition,a double-loop control strategy based on the grid-connected output current and the filter capacitor current is presented,and its validity and feasibility are tested with simulation.The results indicate that the control strategy can ensure that the system be operated stably,with fine sinusoidal output current and small harmonic content.