In the conventional double closed loop control of GSC, there exists the following problems:the outer voltage loop has a slow response to the suppression of dc-link voltage fluctuation, and the inner current loop has a delay to the feed-forward compensation. So, a single closed loop control strategy of GSC is proposed, which directly controls the capacitance current of dc-link capacitor. The feed-forward compensation item introduced in the control strategy is directly applied to the control voltage node of GSC, which eliminates the delay of inner current loop to disturbance feed-forward compensation. Meanwhile, using a "tracking-differentiator" technique is to implement the feed-forward compensation of external disturbance dynamic. In the Matlab/Simulink simulation platform, the research model of GSC control strategy is constructed, and the effect of GSC control strategy on the suppression of dc-link voltage fluctuation in two typical cases is investigated. The results show that the GSC control strategy proposed in this paper can effectively suppress the fluctuation amplitude and oscillation of dc-link voltage. This work is supported by Natural Science Foundation of Hubei Province (No. 2011CDC016).