Wind energy is a clean and renewable energy source. The wind generator using the PMSG with grid interface inverter can control its active and reactive power output independently. In addition, it has high performances for fault ride through (FRT) capability, and voltage regulations. Usually, the generator in the grid system has a synchronizing power. On the other hand, the grid interfaced inverter and converter controlled PMSG does not have it. This paper presents a numerical simulation analysis about controlling of the discrete-time model following controlled PWM inverter in grid connected wind generator in order for the generator to develop synchronizing power.