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This paper proposes that the typical inductance filter in the grid-connected converter should be substituted by T-filter for the increase of harmonic component in the output current to electrical network due to lower PWM switch frequencies in the grid-connected matrix converter of variable-speed constant-frequency wind power generation system. And it has also analyzed the stability of the grid-connected matrix converter system. Furthermore this paper presents a robust control strategy based on incorporation of closed loop control achieved by the bridge current of matrix converter with dual feed-forward compensation. Finally theoretical analysis and simulation have verified that the control strategy can guarantee the stability of the system, and achieve fine sinusoidal waveform of output current and little harmonic component.