The traditional distribution network is prone to widespread power outages and difficult to restore promptly in the event of external grid faults. With the integration of distributed photovoltaic generation (PV), the distribution network can be divided into multiple microgrids internally. During external grid faults, it is common to use distributed energy resources within microgrids to supply power to affected loads. Additionally, due to the susceptibility of distributed energy resources to weather and environmental factors, the use of energy storage for auxiliary regulation can enhance the supply reliability of the microgrid cluster. This study aims to give priority to restoring critical loads and models for island partitioning based on the distribution network's characteristics. A heuristic algorithm based on hill climbing strategy is used to solve the islanding model. The reliability of power supply to loads within the island is used as the objective function, and the optimization of power restoration strategies during island operation is achieved through energy storage devices and load regulation. The power restoration optimization method's simulation results prove its effectiveness in enhancing island operation stability, ensuring microgrid power supply reliability.