Capacitor　voltage　feedback　is　a　proven　and　cost-efficient　active　damping　approach　to　alleviate　the　resonance　hazard　for　the　grid-connected　inverter　with　LCL-filtered.　However,　the　wide　range　variation　of　grid　impedance　has　adverse　effect　to　the　damping　performance　under　weak　grid,　which　can　even　threaten　the　system　stability.　To　tackle　this　problem,　the　capacitor　voltage　proportional-derivative　feedback　method　is　proposed　based　on　passivity　theory　in　this　paper,　so　that　the　real-part　of　the　inverter　output　admittance　is　ensured　to　be　positive　within　the　Nyquist　frequency　to　prevent　the　instability.　Furthermore,　the　controller　parameters　design　method　is　presented,　which　achieves　strong　robustness　and　high　reliability　against　the　variable　grid　impedance　and　fluctuated　filter　parameters.　Finally,　the　validity　of　the　proposed　method　is　confirmed　by　the　simulation　results.　©　2021　IEEE.