Wind turbines connected to the power grid through series and parallel compensation can reduce line losses and effectively improve line transmission power and system stability. However, the interaction between the compensation capacitor and the wind turbine control device may cause a wide-band resonance stability problem including sub-synchronous resonance(SSR)and high frequency resonance(HFR). Considering two types of grid-connected lines, series compensation and parallel compensation, the impedance model of doubly-fed wind turbine grid-connected system is deduced and established. An impedance method is used to analyze the mechanism of wide-band resonance of wind turbine grid connected system, and an adaptive wide-band resonance suppressor is proposed and designed, which is connected in parallel to the point of common coupling (PCC). By extracting the resonant voltage of PCC and using the method of harmonic content limitation, a damping resistor is synthesized to suppress the wide-band resonance generated by the system. Finally, an equivalent system model of wind power grid integration system is built in MATLAB/Simulink, and the correctness and effectiveness of the adaptive wide-band resonance suppressor are verified by time domain simulation.