Abstract: As the key device of the hybrid microgrid, the interlinking converter is related to the efficiency and reliability of the microgrid operation. Based on the normalized droop control, a dual-threshold window control strategy for two-stage interlinking converter with an energy storage system is designed. Based on the switch-on and switch-off conditions of the interlinking converter, and integrates the control of the energy storage unit based on the SOC, a dual-threshold window control strategy combining the switch-on threshold window and the switch-off threshold window is formed to realize the control of the interlinking converter and can realize the secondary opening and closing of the energy storage system. The simulation results show that the converter not only realizes bidirectional power control but also avoids the repeated switching between rectification and inverter of the interlinking converter, and also solves the problem of repeated switching caused by the single-threshold control strategy cutting off large power flow. Each unit in the energy storage system distributes power according to the SOC, which further broadens the power adjustable range of the interlinking converter.