This paper presents a hierarchical and distributed control method for AC and DC microgrid clusters interconnected by the flexible DC distribution network to simultaneously achieve multiple control objectives. A hierarchical and distributed control framework is first established

which includes the distributed generator layer (DG-layer)

microgrid layer (MG-layer)

and cluster coordination layer (CC-layer) to realize the decomposition of control functions. Subsequently

the control method of each layer is provided. Two control modes

i.e.

the distributed master-slave control mode and distributed peer-to-peer control mode

are proposed to adapt to different control requirements for the voltages of the DC distribution network. The proposed control method can also achieve coordination among the interlinking converters of each MG. Finally

time-domain simulations in the MATLAB/Simulink platform are performed to validate the effectiveness of the proposed method.