{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,19]],"date-time":"2026-03-19T16:17:31Z","timestamp":1773937051490,"version":"3.50.1"},"reference-count":29,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T00:00:00Z","timestamp":1777593600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T00:00:00Z","timestamp":1777593600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"}],"funder":[{"DOI":"10.13039\/501100008530","name":"European Regional Development Fund","doi-asserted-by":"publisher","award":["EAPA 0019\/2022-SAtComm"],"award-info":[{"award-number":["EAPA 0019\/2022-SAtComm"]}],"id":[{"id":"10.13039\/501100008530","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["2024.01436"],"award-info":[{"award-number":["2024.01436"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["CEECIND\/CP1742\/CT0001"],"award-info":[{"award-number":["CEECIND\/CP1742\/CT0001"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["UIDB\/000760\/2020\\u201310.54499\/UIDB\/00760\/2020"],"award-info":[{"award-number":["UIDB\/000760\/2020\\u201310.54499\/UIDB\/00760\/2020"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001871","name":"Funda\u00e7\u00e3o para a Ci\u00eancia e a Tecnologia","doi-asserted-by":"publisher","award":["CEECIND\/00420\/2022"],"award-info":[{"award-number":["CEECIND\/00420\/2022"]}],"id":[{"id":"10.13039\/501100001871","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Mathematics and Computers in Simulation"],"published-print":{"date-parts":[[2026,5]]},"DOI":"10.1016\/j.matcom.2025.12.008","type":"journal-article","created":{"date-parts":[[2025,12,13]],"date-time":"2025-12-13T02:30:36Z","timestamp":1765593036000},"page":"499-523","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Optimal power flow in distribution networks: Reconfiguration and self-healing via Benders\u2019 decomposition"],"prefix":"10.1016","volume":"243","author":[{"ORCID":"https:\/\/orcid.org\/0009-0007-2484-2850","authenticated-orcid":false,"given":"F\u00e1bio","family":"Castro","sequence":"first","affiliation":[]},{"given":"Bruno","family":"Canizes","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4172-4502","authenticated-orcid":false,"given":"Jo\u00e3o","family":"Soares","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1120-5656","authenticated-orcid":false,"given":"S\u00e9rgio","family":"Ramos","sequence":"additional","affiliation":[]},{"given":"Zita","family":"Vale","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/j.matcom.2025.12.008_bib1","first-page":"400","article-title":"Robust optimization of power grid with distributed generation and improved reliability","volume":"159","author":"Wang","year":"2019"},{"key":"10.1016\/j.matcom.2025.12.008_bib2","series-title":"2023 IEEE PES Innovative Smart Grid Technologies Europe (ISGT EUROPE)","first-page":"1","article-title":"Hourly uncertainty applied to optimal expansion planning considering energy storage and seasonal network impacts","author":"Castro","year":"2023"},{"key":"10.1016\/j.matcom.2025.12.008_bib3","doi-asserted-by":"crossref","DOI":"10.1016\/j.ijepes.2022.108859","article-title":"Coordinated expansion planning of transmission and distribution systems integrated with smart grid technologies","volume":"147","author":"Moradi-Sepahvand","year":"2023","journal-title":"Int. J. Electr. Power Energy Syst."},{"key":"10.1016\/j.matcom.2025.12.008_bib4","doi-asserted-by":"crossref","first-page":"21443","DOI":"10.1109\/ACCESS.2021.3052653","article-title":"Resilient Scheduling of Networked Microgrids against Real-Time Failures","volume":"9","author":"Fesagandis","year":"2021","journal-title":"IEEE Access"},{"key":"10.1016\/j.matcom.2025.12.008_bib5","doi-asserted-by":"crossref","first-page":"3817","DOI":"10.1109\/TPWRS.2021.3067203","article-title":"A benders decomposition based algorithm for steady-state dispatch problem in an integrated electricity-gas system","volume":"36","author":"Gao","year":"2021","journal-title":"IEEE Trans. Power Syst."},{"key":"10.1016\/j.matcom.2025.12.008_bib6","doi-asserted-by":"crossref","first-page":"5905","DOI":"10.1109\/TIA.2017.2723339","article-title":"Two-stage stochastic model using benders\u2019 decomposition for large-scale energy resource management in smart grids","volume":"53","author":"Soares","year":"2017","journal-title":"IEEE Trans. Ind. Appl."},{"key":"10.1016\/j.matcom.2025.12.008_bib7","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1186\/s42162-024-00358-8","article-title":"Application of QPSO-BPSO in fault self-healing of distributed power distribution networks","volume":"7","author":"Liu","year":"2024","journal-title":"Energy Inform."},{"key":"10.1016\/j.matcom.2025.12.008_bib8","series-title":"2024 China International Conference on Electricity Distribution (CICED)","first-page":"642","article-title":"Distributed Service Restoration Strategy for Interconnected Distribution Networks with Generalized Benders Decomposition Algorithm","author":"Chai","year":"2024"},{"key":"10.1016\/j.matcom.2025.12.008_bib9","doi-asserted-by":"crossref","first-page":"3810","DOI":"10.1109\/TPWRS.2020.2982502","article-title":"A novel decomposition solution approach for the restoration problem in distribution networks","volume":"35","author":"Sekhavatmanesh","year":"2020","journal-title":"IEEE Trans. Power Syst."},{"key":"10.1016\/j.matcom.2025.12.008_bib10","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1186\/s41601-021-00197-9","article-title":"Incorporating microgrids coupling with utilization of flexible switching to enhance self-healing ability of electric distribution systems","volume":"6","author":"Mousavizadeh","year":"2021","journal-title":"Prot. Control Mod. Power Syst."},{"key":"10.1016\/j.matcom.2025.12.008_bib11","article-title":"A logic-based flexibility services tool to support a rich renewable distribution network operation","volume":"43","author":"Canizes","year":"2025","journal-title":"Sustain. Energy Grids Netw."},{"key":"10.1016\/j.matcom.2025.12.008_bib12","first-page":"241","author":"Castro","year":"2025","journal-title":"Anal. Econ. Impacts Var. Discount Rates Medium Volt. Distrib. Netw. Plan. A Sensit. Anal. Considering Glob. Perspect."},{"key":"10.1016\/j.matcom.2025.12.008_bib13","doi-asserted-by":"crossref","DOI":"10.1016\/j.apenergy.2022.120226","article-title":"A Benders decomposition approach for solving a two-stage local energy market problem under uncertainty","volume":"329","author":"Garc\u00eda-Mu\u00f1oz","year":"2023","journal-title":"Appl. Energy"},{"key":"10.1016\/j.matcom.2025.12.008_bib14","doi-asserted-by":"crossref","DOI":"10.1016\/j.epsr.2020.106380","article-title":"A heuristic benders-decomposition-based algorithm for transient stability constrained optimal power flow","volume":"185","author":"Saberi","year":"2020","journal-title":"Electr. Power Syst. Res."},{"key":"10.1016\/j.matcom.2025.12.008_bib15","doi-asserted-by":"crossref","DOI":"10.1016\/j.enconman.2024.118734","article-title":"Comprehensive Framework for Distribution Network Multi-Investment Expansion Planning: Emissions, Uncertainty, and Resource Remuneration Integration","volume":"316","author":"Castro","year":"2024","journal-title":"Energy Convers. Manag"},{"key":"10.1016\/j.matcom.2025.12.008_bib16","doi-asserted-by":"crossref","DOI":"10.1016\/j.apenergy.2025.125531","article-title":"Risk-based optimal network planning considering resources remuneration and daily uncertainty","volume":"386","author":"Castro","year":"2025","journal-title":"Appl. Energy"},{"key":"10.1016\/j.matcom.2025.12.008_bib17","doi-asserted-by":"crossref","DOI":"10.1016\/j.ijepes.2021.107662","article-title":"Optimal scheduling of self-healing distribution systems considering distributed energy resource capacity withholding strategies","volume":"136","author":"Aboutalebi","year":"2022","journal-title":"Int. J. Electr. Power Energy Syst."},{"key":"10.1016\/j.matcom.2025.12.008_bib18","doi-asserted-by":"crossref","first-page":"2166","DOI":"10.1109\/TPWRD.2009.2027510","article-title":"Distribution Systems Reconfiguration Based on OPF Using Benders Decomposition","volume":"24","author":"Khodr","year":"2009","journal-title":"IEEE Trans. Power Deliv."},{"key":"10.1016\/j.matcom.2025.12.008_bib19","doi-asserted-by":"crossref","first-page":"521","DOI":"10.1049\/iet-gtd.2008.0289","article-title":"Integral methodology for distribution systems reconfiguration based on optimal power flow using Benders decomposition technique","volume":"3","author":"Khodr","year":"2009","journal-title":"IET Gener. Transm. Distrib."},{"key":"10.1016\/j.matcom.2025.12.008_bib20","series-title":"2016 IEEE PES Asia-Pacific Power and Energy Engineering Conference (APPEEC)","first-page":"1491","article-title":"Self-healing resilience strategy to active distribution network based on benders decomposition approach","author":"Junhong GuoLongjun Wang","year":"2016"},{"key":"10.1016\/j.matcom.2025.12.008_bib21","series-title":"2019 Smart Grid Conference (SGC)","first-page":"1","article-title":"Self-Healing Policy in Distribution Network Considering Technical Indices","author":"AfsariArdabili","year":"2019"},{"key":"10.1016\/j.matcom.2025.12.008_bib22","doi-asserted-by":"crossref","first-page":"5890","DOI":"10.3390\/en16165890","article-title":"A self-healing strategy for modern distribution networks","volume":"16","author":"Reiz","year":"2023","journal-title":"Energies)"},{"key":"10.1016\/j.matcom.2025.12.008_bib23","doi-asserted-by":"crossref","first-page":"1225","DOI":"10.1109\/TCNS.2021.3061671","article-title":"Evaluating resilience of electricity distribution networks via a modification of generalized benders decomposition method","volume":"8","author":"Shelar","year":"2021","journal-title":"IEEE Trans. Control Netw. Syst."},{"key":"10.1016\/j.matcom.2025.12.008_bib24","doi-asserted-by":"crossref","first-page":"238","DOI":"10.1007\/BF01386316","article-title":"Partitioning procedures for solving mixed-variables programming problems","volume":"4","author":"Benders","year":"1962","journal-title":"Numer. Math."},{"key":"10.1016\/j.matcom.2025.12.008_bib25","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1007\/BF00934810","article-title":"Generalized benders decomposition","volume":"10","author":"Geoffrion","year":"1972","journal-title":"J. Optim. Theory Appl."},{"key":"10.1016\/j.matcom.2025.12.008_bib26","series-title":"Decomposition techniques in mathematical programming: engineering and science applications","author":"Conejo","year":"2006"},{"key":"10.1016\/j.matcom.2025.12.008_bib27","unstructured":"TOMLAB. TOMLAB 2023. \u3008http:\/\/tomopt.com\/tomlab\/\u3009 (accessed January 9, 2024)."},{"key":"10.1016\/j.matcom.2025.12.008_bib28","doi-asserted-by":"crossref","unstructured":"Nickel S., Steinhardt C., Schlenker H., Burkart W. IBM ILOG CPLEX Optimization Studio\u2014A primer, 2022, p. 9\u201321. https:\/\/doi.org\/10.1007\/978-3-662-65481-1_2.","DOI":"10.1007\/978-3-662-65481-1_2"},{"key":"10.1016\/j.matcom.2025.12.008_bib29","series-title":"2023 International Conference on Future Energy Solutions (FES)","first-page":"1","article-title":"A Brief Review on Optimal Network Planning Considering Energy Storage Systems and Uncertainty","author":"Castro","year":"2023"}],"container-title":["Mathematics and Computers in Simulation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0378475425005294?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0378475425005294?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,3,19]],"date-time":"2026-03-19T14:33:32Z","timestamp":1773930812000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0378475425005294"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,5]]},"references-count":29,"alternative-id":["S0378475425005294"],"URL":"https:\/\/doi.org\/10.1016\/j.matcom.2025.12.008","relation":{},"ISSN":["0378-4754"],"issn-type":[{"value":"0378-4754","type":"print"}],"subject":[],"published":{"date-parts":[[2026,5]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Optimal power flow in distribution networks: Reconfiguration and self-healing via Benders\u2019 decomposition","name":"articletitle","label":"Article Title"},{"value":"Mathematics and Computers in Simulation","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.matcom.2025.12.008","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2025 Published by Elsevier B.V. on behalf of International Association for Mathematics and Computers in Simulation (IMACS).","name":"copyright","label":"Copyright"}]}}