Abstract: To effectively smooth wind power output and avoid the frequently charging/discharging of a battery,the paper proposes a strategy for grid-connected power smoothing control based on model predictive control（MPC）and fuzzy control. Firstly,MPC is used to obtain the target wind power output and the total output reference power of a hybrid energy storage system. Then a first-order low-pass filtering method with a fuzzy adaptive time constant based on the state of charge（SOC） of super capacitor is designed to achieve adaptive power distribution between the super capacitors and lithium batteries. After that,the fuzzy optimization control of SOC is designed based on the charging/discharging imbalance indicators for dual energy storage system, and the improved working modes of the dual energy storage system and the corresponding switching rules are developed to avoid SOC off-limit. Finally,the simulation on MATLAB/Simulink platform verifies the effectiveness of the control strategy. The results show that the proposed control strategy not only effectively smooth the wind power and reduce the capacity and power configuration of the hybrid energy storage system,but also reduce the charging/discharging switching times of the lithium batteries and improve the bidirectional regulation ability of the system.