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The micro-grid ensures system stability with a three-layer structure, where the designed method handles optimization problems, achieving faster global search and optimal solutions. Agents develop targeted recovery strategies by understanding network load, which are then executed by higher-level agents to ensure that the optimal recovery command is implemented by the system. According to the research results, during peak load, the system successfully outputted 7 kilowatts and met the load demand through battery discharge, demonstrating its self-healing ability. The output analysis of photovoltaic and wind turbines showed that the system reasonably scheduled within 24\u00a0h according to the changes in solar energy and wind power. Based on the quantum behavior particle swarm optimization algorithm, the system has achieved lower active power loss and greater power supply capacity. Although the number of switch operations has increased, the system performance has significantly improved, meeting the requirements for improving system economy and safety. It has promoting effects on the sustainable development of future power systems.<\/jats:p>","DOI":"10.1186\/s42162-024-00358-8","type":"journal-article","created":{"date-parts":[[2024,7,4]],"date-time":"2024-07-04T10:01:57Z","timestamp":1720087317000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Application of QPSO-BPSO in fault self-healing of distributed power distribution networks"],"prefix":"10.1186","volume":"7","author":[{"given":"Xuan","family":"Liu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Meng","family":"Liu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Hong","family":"Yin","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2024,7,4]]},"reference":[{"issue":"1","key":"358_CR1","first-page":"1","volume":"12","author":"N Afsari","year":"2024","unstructured":"Afsari N, SeyedShenava SJ, Shayeghi H (2024) A milp model incorporated with the risk management tool for self-healing oriented service restoration. 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