In this paper the output of the single phase wind generator, common for low power application, is converted efficiently into a three phase power. A control system for impedance(z)-source inverter is designed suitable for this wind power conversion. The variable output of wind generator due to unpredictable variation in wind speed, is suitably controlled through a closed loop system through the buck-boost capability of z-source inverter. The z-source PWM inverter replacing the conventional PWM inverter provides the unique output voltage regulation by making an appropriate choice of boost factor under both variable generator voltage and variable load conditions. The closed loop controller carefully monitors the wind generator voltage and controls the shoot-through and non-shoot through duty cycles of the inverter to develop a three phase steady boosting voltage, which is not possible by conventional PWM control. The closed loop system developed is used not only for smooth and effective steady state control but also boost the level of three phase output at a desired level. In this paper, the system is modeled, appropriate transfer functions are derived and stability is achieved with a suitable design of compensator. The whole system is simulated, supports the behavior with a set of results and waveforms. The comparative results show that the obtained shoot-through zero states of the Z-source inverter can efficiently boost the low level single phase input into a three phase higher level ac, which is not possible with the help of conventional inverter.