The　flexible　control　characteristic　of　energy　storage　system　makes　it　have　an　advantage　in　participating　in　grid　frequency　regulation.　The　combination　of　wind　power　and　energy　storage　has　the　effect　of　synergistic　enhancement　in　providing　frequency　support.　However,　traditional　PID　controllers　are　difficult　to　achieve　coordinated　control　of　wind　farms　and　energy　storage.　To　address　this　issue,　a　model　predictive　control　(MPC)　based　scheme　of　wind　farm　with　energy　storage　system　for　frequency　support　is　proposed.　The　MPC　controller　optimizes　the　power　reference　for　each　offshore　wind　turbine　as　well　as　the　energy　storage　system,　with　the　objective　of　minimizing　the　grid　frequency　deviation.　In　the　MPC　design,　power　constraints　for　wind　turbines　that　adapt　various　wind　speeds　are　considered,　thereby　ensuring　the　stable　operation　of　wind　turbines　during　the　frequency　support.　Meanwhile,　state　of　charge　(SoC)　constraints　for　the　energy　storage　system　is　also　proposed　to　extend　its　life.　What＇s　more,　the　moving　horizon　estimation　(MHE)　is　introduced　to　estimate　the　grid　power　imbalance.　The　results　show　that　the　proposed　scheme　can　effectively　improve　the　performance　of　the　grid　frequency.　©　2021　IEEE.