Abstarct: Nowadays, there is an increasingly need of electrical power, considering technology developments and mechanization of the used systems. The need of renewable energy is felt as fossil fuel sources will come to an end someday and also it causes air pollution. One of the renewable energies is wind power which there is almost always wind around. Making use of this energy demands wind turbine systems. The generated power by wind turbine must be controlled and used because the used electrical systems work with a special voltage and frequency. At this thesis a new controller is designed by fractional operators for three phase inverter system in grid connected wind turbine. Space vector pulse width modulation, park's equations and fractional order controller is used to control this inverter. System efficiency and its robustness to parameter changes is increased by using this controller. The simulation results prove it.