This article presents the application of the constant Volts per Hertz control to control a three phase induction motor has torque and speed characteristics similar to wind turbine. Due to this method is not complicated and does not require the parameters of motor. As a result the accuracy of control is independent of variation of the parameters of motor. Furthermore the equation for compensate the difference between the moment of inertia of wind turbine and motor which is consistent with the mentioned control method is proposed. In order to make the dynamic responses of the wind turbine simulator similar to the wind turbine and to overcome the problems of noise amplification from differentiation that leads to instability of the system. The simulation results in Matlab/Simulink program show that the proposed wind turbine simulator can imitate the wind turbine accurately both in dynamic and steady state conditions