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An enhanced control is presented that effectively cancels the noise in torque, and currents in a wind turbine Permanent Magnet Synchronous Generator. The proposed control also allows the reduction of the DC-Link capacitance. Simulations succeed on Three Phase and Single Phase grid connection, through a Back to Back converter. The grid side converter switching function was modified with an algorithm that represents the noise from grid frequency. The DC Link ripple due to capacitor reduction was canceled, and as a consequence there were no noise frequencies on electromagnetic torque, stator and grid currents after the algorithm was implemented. Remarkable reduction in DC Link capacitor was possible, making the system more reliable and economical. The PMSG is protected from core saturation, because stator currents consist of only the fundamental frequency component. This results in a constant torque, preventing mechanical stress.