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This paper presents a grid-connected control strategy that applies to wind generation system on the basis of Z-source inverter. It systematically explains the operating principles and the mathematical model of the system architecture, adopting a novel voltage space vector modulation method with shoot-through zero vectors and analyzing its performance characteristics. A method is developed for generation shoot-through zero vectors. Meanwhile, a new deadbeat control algorithm is proposed in the d-q coordinate system. Considering dc controlled variables, forecasting process can be omitted in the manner when the system approaches steady state, which also improves the dynamic characteristics of the system. In addition, closed loop control means based on Z-source capacitor voltage is introduced, which ensures that capacitor voltages stabilize at a proper level and makes the system achieve the stabilization of output voltages. With duty cycle and modulation ration being viewed as the inputs of space vector pulse width modulation (SVPWM) module, the method is designed to achieve maximum power point tracking (MPPT) control and grid-connected control, rendering that the system is capable of tracking the maximum power point of wind generator set and fulfill grid-connected function. Finally, related simulation suggests grid-connected current has fine sinusoidal output, high power factor, both of which demonstrate the method is accurate and efficient, with good dynamic and static characteristics.