Hybrid AC/DC microgrids can efficiently integrate distributed generations and loads, and the open and shared interconnected system can further improve the reliability and economy of multiple microgrids. In order to meet the requirements of easy expansion and privacy protection of interconnected systems, this paper proposes a distributed economic dispatch model based on the interconnected systems and the alternating direction multiplier method. For a single microgrid, the coordinated charging strategy of electric vehicles is used to avoid load peak out of limit, and the optimization model with demand response is used to reduce the operating costs. For the interconnected system, the DC network optimizes power flow to reduce network losses by coordinating the boundary information of each microgrid. The whole optimization problem is solved in a distributed manner, and each microgrid only provides limited boundary information, which fully protects the user privacy. The generation resources and load resources are also fully coordinated. The simulation results show the effectiveness of the proposed dispatch model.