Hydrogen production from wind power is an important means to solve wind power consumption and to stabilize volatility and intermittency, which can reduce carbon emissions in the power system and help achieve the dual-carbon goal. In order to increase the wide application of wind power in hydrogen production, permanent magnet direct-drive wind turbines, battery packs, proton exchange membrane electrolyzers, and converters are used to form a wind-hydrogen storage coupled system with a common AC bus, and their respective mathematical models are established. Combined with the self-output characteristics and safety of electrolytic hydrogen production, wind power, and battery packs, an energy management strategy that can reduce wind curtailment, suppress power fluctuations, and achieve friendly grid connection is proposed. The effectiveness of the model and control strategy are verified by PSCAD/EMTDC simulation.The simulation results show that the application of this strategy makes the output of each unit of the system (except wind power) controllable, which can fully absorb wind power and improve the quality of grid-connected power. The proposed strategy can provide reference for the management and development of wind-hydrogen storage coupled system.