Doubly-Fed Induction Generator (DFIG) system faces a threat from high-frequency resonance, which is caused by control delays and varying grid admittance. Additionally, designing damping for the paralleled output admittances of the grid-side converter and rotor-side converter-DFIG is a challenging task. To address this issue, this paper proposes a passivity-based current control method through capacitor current and capacitor voltage feedforward, and the dissipative region is optimized to the Nyquist frequency. Finally, the DFIG system is dissipated, and the proposed method is validated through a case study.