Hybrid microgrids with series-connected and parallel-connected inverters incorporate the advantages of series inverter and parallel inverter systems, but their complex structures bring new challenges to the control strategy design of the systems. A local master-slave coordinated control scheme based on virtual impedance is proposed to solve the contradiction between parallel and series microgrid control strategies. The inverters near a PCC in each string are set as master control units, which adopt improved droop control without communication to realize synchronization and power equalization, and the other series inverters run with the master control units locally, finally achieving global power sharing. The global non-communication design improves the reliability and flexibility of the system and reduces the operating cost. Simulation results show the feasibility and effectiveness of the proposed scheme. This work is supported by National Natural Science Foundation of China (No. 61573384).