The　virtual　synchronous　generator　(VSG)　control　strategy　is　widely　used　in　distributed　power　supplies　for　the　stable　operation.　In　order　to　meet　the　needs　of　grid-connected　and　island　dual-mode　operation,　a　self-adaptive　dual-mode　operation　control　strategy　based　on　VSG　is　proposed　in　this　paper.　Firstly,　the　dual-mode　operation　control　strategy　of　VSG　is　given,　that　is,　the　current-controlled　VSG　is　adopted　in　grid-connected　mode　and　the　voltage-controlled　VSG　is　adopted　in　island　mode.　In　order　to　realize　seamless　switching,　a　new　slow　start　control　strategy　is　proposed　in　switching　from　grid-connected　mode　to　island　mode.　Then,　to　solve　the　overload　problem　caused　by　VSG　control　in　grid-connected　operation,　a　current-controlled　VSG　with　self-adaptive　droop-damping　coefficient　and　reactive　power　droop　coefficient　is　proposed.　Finally,　the　proposed　control　strategy　is　verified　effectively　by　simulation　on　the　energy-stored　quasi-Z-source　inverter　micro-grid　system.　©　2022　IEEE.