PWM inverters working synchronously with mains are widely distributed in the applications using variable speed wind generators. They are part of the converters connected in the stator winding of the synchronous generators or in the wound rotor winding of induction generators. This paper investigates the synchronous work of PWM inverter with unbalanced grid. The proposed solution follows the reference more precise and minimizes the pulsations of the active power. The conventional and proposed methods are compared. The simulations are for different amount of voltage unbalance.