More and more distributed power generators (DG)

e.g.

photovoltaic (PV)

and various energy storage (ES) equipment are integrated into distribution network (DN). Integrated sources enable improved power supply reliability. After the upstream device fails

the islanding scheme can restore power to the downstream DN. However

in the process of formulating the islanding scheme

complex constraints should be considered

such as ES sequential characteristics and secondary outage constraints for load requirements. These constraint couplings make power recovery complex in DN. A method for DN island partition with ES is proposed. The islanding problem is a hybrid integer backpack model that include two key steps: the largest island is quickly identified by checking whether the power supply is sufficient

and the identified islands are corrected by checking whether the power supply meets real-time balance. Inspired greedy algorithms solve previous sub-problems. The latter sub-problem can be converted to a mixed-integer linear planning model for easy solution. By solving these two sub-problems alternately

it can quickly formulate islanding schemes with clear physical significance. A case study is carried out on an improved PG&E 69-bus system. It has been verified that the method can significantly reduce calculation time under the premise of the island partition benefit.