Traditional energy management strategies for energy routers do not take into account the flexible interconnection relationship between multiple devices. Also, the shocks of port loads and the fluctuations of new energy generation in port applications make the reliable power supply and economic operation of regional power grids challenging. Therefore, a refined local energy management strategy is proposed based on fuzzy logic control for clustered shore power energy routers. The method considers the effect of coupling of output power between interconnected shore power energy routers. It also formulates fuzzy control rules based on the possible power flow direction in the grid-connected mode to ensure economic benefits for power users. The energy storage output current is dynamically adjusted according to the changes in SOC, electricity price of the grid, and the net output power of each shore power energy router. The method takes into account cooperative interaction between interconnected systems and constructs the transmission power relationship between ports of interconnected systems. It facilitates the synergistic consumption of distributed energy across stations, and does not require upper-level dispatch control, reducing the dependence on communication. The effectiveness and feasibility of the proposed control strategy is verified through simulation.