The double-fed wind power generation system and network grid inverter with current feedback PI control, although under ideal conditions can be achieved grid inverter control system, high power factor, low steady-state error performance, but there are harmonic interference when the situation, steady state and dynamic tracking performance deteriorates; in addition, PI controller can achieve zero steady-state error to DC signal, but do not eliminate the harmonic components of the AC signal, and the need for complex coordinate transformation and decoupling control several times. Thus, this paper proposes a grid-current feedback of multi-resonant PR capacitor current feedback control,and improve the control precision; the introduction of low-order harmonics compensation item, can effectively inhibit the grid current waveform distortion. Simulation results show that the proposed control strategy can not only realize the AC signal no static error control and has good dynamic and steady-state tracking performance, but also the system and less net current harmonic content, to meet the power and wind power system network claim.