In　order　to　solve　the　problem　of　steady-state　active　power　deviation　caused　by　constant　damping　coefficient　control　in　island　microgrid　when　using　virtual　synchronous　generator　strategy　to　control　energy　storage　converter,　a　small　signal　model　of　energy　storage　converter　based　on　virtual　synchronous　generator　control　is　established,　and　the　influence　of　damping　coefficient　on　active　power　oscillation　in　grid-connected　mode　and　island　mode　is　analyzed.　Then　an　improved　damping　control　method　based　on　steady-state　frequency　difference　compensation　is　proposed.　After　that,　the　influence　of　the　improved　damping　control　on　the　stability　and　dynamic　characteristics　of　the　system　is　studied.　Simulation　and　experiment　prove　that　the　improved　damping　control　can　eliminate　the　influence　of　the　damping　on　steady-state　active　power　sag　characteristics,　and　effectively　suppress　the　system　oscillation　without　affecting　the　steady-state　active　power　distribution.　©　2020,　Power　System　Technology　Press.　All　right　reserved.