At present, the operation dispatching of distributed generadion (DG) in islanded microgrids is treated uniformly as PQ model of traditional generators, which is inconsistent with the actual situation of microgrids. At the same time, few literatures consider voltage and power flow constraints. Therefore, considering the static model of droop control for DG and taking into account the nonlinear constraints of power flow, a hierarchical scheduling strategy for islanded microgrids with renewable energy output and energy storage charging and discharging is proposed. Meanwhile, considering the droop characteristics of DG and the nonlinear constraints of power flow, the economic and safe operation scheduling of the superior island microgrid adopts the centralized optimal controller to control various static parameters of the inferior DG and the charging and discharging power of each energy storage device. The inferior level uses traditional droop control to adjust active and reactive power output in real time under the control parameters of the superior level to maintain system frequency and voltage stability. The above model is solved by YALMIP+IPOPT program, and simulation is carried out with a 14-node system as an example. The simulation results prove that the proposed model and its solution method can effectively solve the economic and safe operation scheduling model of the islanded microgrid; it has significant advantages in stabilizing and improving the system voltage level and reducing the operating cost of the islanded microgrid.