{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,17]],"date-time":"2026-05-17T12:40:39Z","timestamp":1779021639019,"version":"3.51.4"},"reference-count":18,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2025,7,28]],"date-time":"2025-07-28T00:00:00Z","timestamp":1753660800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Science and Technology Project of State Grid Hunan Electric Power Co., Ltd.","award":["5216A5240005"],"award-info":[{"award-number":["5216A5240005"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Algorithms"],"abstract":"<jats:p>With the large-scale integration of renewable energy into distribution networks, traditional fixed-setting overcurrent protection strategies struggle to adapt to rapid fluctuations in renewable energy (e.g., wind and photovoltaic) output. Optimizing current settings is crucial for enhancing the stability of modern distribution networks. This paper proposes an adaptive overcurrent protection method based on an improved NSGA-II algorithm. By dynamically detecting renewable power fluctuations and generating adaptive solutions, the method enables the online optimization of protection parameters, effectively reducing misoperation rates, shortening operation times, and significantly improving the reliability and resilience of distribution networks. Using the rate of renewable power variation as the core criterion, renewable power changes are categorized into abrupt and gradual scenarios. Depending on the scenario, either a random solution injection strategy (DNSGA-II-A) or a Gaussian mutation strategy (DNSGA-II-B) is dynamically applied to adjust overcurrent protection settings and time delays, ensuring real-time alignment with grid conditions. Hard constraints such as sensitivity, selectivity, and misoperation rate are embedded to guarantee compliance with relay protection standards. Additionally, the convergence of the Pareto front change rate serves as the termination condition, reducing computational redundancy and avoiding local optima. Simulation tests on a 10 kV distribution network integrated with a wind farm validate the effectiveness of the proposed method.<\/jats:p>","DOI":"10.3390\/a18080472","type":"journal-article","created":{"date-parts":[[2025,7,28]],"date-time":"2025-07-28T14:50:03Z","timestamp":1753714203000},"page":"472","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["An Adaptive Overcurrent Protection Method for Distribution Networks Based on Dynamic Multi-Objective Optimization Algorithm"],"prefix":"10.3390","volume":"18","author":[{"given":"Biao","family":"Xu","sequence":"first","affiliation":[{"name":"State Grid Hunan Electric Power Company Limited Research Institute, Changsha 410007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fan","family":"Ouyang","sequence":"additional","affiliation":[{"name":"State Grid Hunan Electric Power Company Limited Research Institute, Changsha 410007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yangyang","family":"Li","sequence":"additional","affiliation":[{"name":"National Key Laboratory of Power Grid Disaster Prevention and Mitigation, Changsha University of Science and Technology, Changsha 410114, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kun","family":"Yu","sequence":"additional","affiliation":[{"name":"National Key Laboratory of Power Grid Disaster Prevention and Mitigation, Changsha University of Science and Technology, Changsha 410114, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fei","family":"Ao","sequence":"additional","affiliation":[{"name":"State Grid Hunan Electric Power Company Limited, Changsha 410007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hui","family":"Li","sequence":"additional","affiliation":[{"name":"State Grid Hunan Electric Power Company Limited Research Institute, Changsha 410007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Liming","family":"Tan","sequence":"additional","affiliation":[{"name":"State Grid Hunan Electric Power Company Limited Research Institute, Changsha 410007, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,7,28]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"996","DOI":"10.1049\/iet-rpg.2019.0996","article-title":"A Local measurement based protection technique for distribution system with photovoltaic plants","volume":"14","author":"Singh","year":"2020","journal-title":"IET Renew. 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Phase-angle adaptive current differential protection for active distribution network. J. Phys. Conf. Ser., 2564.","DOI":"10.1088\/1742-6596\/2564\/1\/012022"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"106514","DOI":"10.1016\/j.ijepes.2020.106514","article-title":"Asymmetrical fault analysis on distribution feeders with inverter interfaced distributed generators","volume":"125","author":"Li","year":"2021","journal-title":"Int. J. Electr. Power Energy Syst."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"2088","DOI":"10.1109\/TSG.2012.2211045","article-title":"A Communication-Assisted Protection Strategy for Inverter-Based Medium-Voltage Microgrids","volume":"3","author":"Zamani","year":"2012","journal-title":"IEEE Trans. Smart Grid"},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"114","DOI":"10.1109\/TSG.2015.2411216","article-title":"A Communication-Assisted Overcurrent Protection Scheme for Radial Distribution Systems with Distributed Generation","volume":"7","author":"Nikolaidis","year":"2016","journal-title":"IEEE Trans. Smart Grid"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"536","DOI":"10.1109\/TPWRD.2016.2585579","article-title":"A Multiagent System-Based Protection and Control Scheme for Distribution System with Distributed-Generation Integration","volume":"32","author":"Liu","year":"2017","journal-title":"IEEE Trans. Power Deliv."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"5733","DOI":"10.1109\/TSG.2017.2695378","article-title":"Transient Stability Constrained Protection Coordination for Distribution Systems With DG","volume":"9","author":"Aghdam","year":"2018","journal-title":"IEEE Trans. Smart Grid"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"5217","DOI":"10.1109\/TIA.2017.2717880","article-title":"An Adaptive Overcurrent Coordination Scheme to Improve Relay Sensitivity and Overcome Drawbacks due to Distributed Generation in Smart Grids","volume":"53","author":"Shih","year":"2017","journal-title":"IEEE Trans. Ind. Appl."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"732","DOI":"10.1109\/TSG.2017.2751596","article-title":"Dimitrov and Surya Santoso. Stochastic Optimization for Discrete Overcurrent Relay Tripping Characteristics and Coordination","volume":"10","author":"Min","year":"2019","journal-title":"IEEE Trans. Smart Grid"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"336","DOI":"10.1016\/j.ijepes.2015.11.087","article-title":"An application of a tent map initiated Chaotic Firefly algorithm for optimal overcurrent relay coordination","volume":"78","author":"Gokhale","year":"2016","journal-title":"Int. J. Electr. Power Energy Syst."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"9564583","DOI":"10.1155\/2021\/9564583","article-title":"Optimal Setting Method of Inverse Time Overcurrent Protection for the Distribution Networks Based on the Improved Grey Wolf Optimization","volume":"2021","author":"Yang","year":"2021","journal-title":"Complexity"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"107300","DOI":"10.1016\/j.compeleceng.2021.107300","article-title":"Adaptive distance protection for grid-connected wind farms based on optimal quadrilateral characteristics","volume":"93","author":"Ashok","year":"2021","journal-title":"Comput. Electr. Eng."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"1672","DOI":"10.1007\/s42235-025-00653-4","article-title":"An Improved Multi-objective Artificial Hummingbird Algorithm for Capacity Allocation of Supercapacitor Energy Storage Systems in Urban Rail Transit","volume":"22","author":"Wang","year":"2025","journal-title":"J. Bionic Eng."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"108363","DOI":"10.1016\/j.est.2023.108363","article-title":"Improved multi-objective grasshopper optimization algorithm and application in capacity configuration of urban rail hybrid energy storage systems","volume":"72","author":"Wang","year":"2023","journal-title":"J. Energy Storage"},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Bazzi, A., and Chafii, M. (2025). Mutual Information Based Pilot Design for ISAC. IEEE Trans. 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