As the stator current will distort and electromagnetic torque of the doubly-fed induction generator wind turbine (DFIG-WT) will pulse due to low order grid harmonics voltage, the mathematical model of DFIG under the 5th and 7th order harmonics grid voltage is built, and the stator current and electromagnetic torque pulsation problems caused by the harmonics distortion is analyzed. The dual-loop closed control strategy based on rotor current PIR regulator is designed to suppress stator current harmonics and electromagnetic torque pulsation by the control target analysis. A 1.5 MW DFIG-WT is modeled in Matlab/Simulink, and the harmonic operating and suppressing process of DFIG-WT is simulated. And the field test is carried out on the 1.5MW DFIG-WT by grid harmonic generation equipment. The simulation and experimental results support the theoretical analysis and verify the proposed control strategy.