{"id":"https://openalex.org/W3172966163","doi":"https://doi.org/10.1109/access.2021.3087626","title":"Optimal Power Flow Problem Solution Through a Matheuristic Approach","display_name":"Optimal Power Flow Problem Solution Through a Matheuristic Approach","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3172966163","doi":"https://doi.org/10.1109/access.2021.3087626","mag":"3172966163"},"language":"en","primary_location":{"id":"doi:10.1109/access.2021.3087626","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3087626","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09448218.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09448218.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048892453","display_name":"Juan M. Home-Ortiz","orcid":"https://orcid.org/0000-0002-0746-8082"},"institutions":[{"id":"https://openalex.org/I879563668","display_name":"Universidade Estadual Paulista (Unesp)","ror":"https://ror.org/00987cb86","country_code":"BR","type":"education","lineage":["https://openalex.org/I879563668"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Juan M. Home-Ortiz","raw_affiliation_strings":["Sao Paulo State University, Ilha Solteira, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-0746-8082","affiliations":[{"raw_affiliation_string":"Sao Paulo State University, Ilha Solteira, Brazil","institution_ids":["https://openalex.org/I879563668"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072271570","display_name":"Wmerson Claro de Oliveira","orcid":"https://orcid.org/0000-0002-8264-7830"},"institutions":[{"id":"https://openalex.org/I879563668","display_name":"Universidade Estadual Paulista (Unesp)","ror":"https://ror.org/00987cb86","country_code":"BR","type":"education","lineage":["https://openalex.org/I879563668"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Wmerson Claro De Oliveira","raw_affiliation_strings":["Sao Paulo State University, Ilha Solteira, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sao Paulo State University, Ilha Solteira, Brazil","institution_ids":["https://openalex.org/I879563668"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027117213","display_name":"Jos\u00e9 Roberto Sanches Mantovani","orcid":"https://orcid.org/0000-0002-7149-6184"},"institutions":[{"id":"https://openalex.org/I879563668","display_name":"Universidade Estadual Paulista (Unesp)","ror":"https://ror.org/00987cb86","country_code":"BR","type":"education","lineage":["https://openalex.org/I879563668"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Jose Roberto Sanches Mantovani","raw_affiliation_strings":["Sao Paulo State University, Ilha Solteira, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sao Paulo State University, Ilha Solteira, Brazil","institution_ids":["https://openalex.org/I879563668"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I879563668"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":1.1797,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.77949603,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"9","issue":null,"first_page":"84576","last_page":"84587"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10305","display_name":"Power System Optimization and Stability","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12804","display_name":"Thermal Analysis in Power Transmission","score":0.98089998960495,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/power-flow","display_name":"Power flow","score":0.754088282585144},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.651349663734436},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5323354005813599},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.511239767074585},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.43711215257644653},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.27888965606689453},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21118509769439697}],"concepts":[{"id":"https://openalex.org/C2986056383","wikidata":"https://www.wikidata.org/wiki/Q556030","display_name":"Power flow","level":4,"score":0.754088282585144},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.651349663734436},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5323354005813599},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.511239767074585},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.43711215257644653},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.27888965606689453},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21118509769439697},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/access.2021.3087626","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3087626","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09448218.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:1c5d1d4090dc47d4999a2cd8aa0b8078","is_oa":true,"landing_page_url":"https://doaj.org/article/1c5d1d4090dc47d4999a2cd8aa0b8078","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 9, Pp 84576-84587 (2021)","raw_type":"article"},{"id":"pmh:oai:repositorio.unesp.br:11449/233296","is_oa":true,"landing_page_url":"http://hdl.handle.net/11449/233296","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"instacron:UNESP","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.1109/access.2021.3087626","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2021.3087626","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9312710/09448218.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.5199999809265137,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G295657101","display_name":null,"funder_award_id":"2019/","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G3684345407","display_name":null,"funder_award_id":"21972-6","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G3836494017","display_name":null,"funder_award_id":"164751/2018-1","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G4402799499","display_name":null,"funder_award_id":"2015/","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G5105138981","display_name":null,"funder_award_id":"304726/2020-6","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"},{"id":"https://openalex.org/G5731576992","display_name":null,"funder_award_id":"01841-5","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G6234070531","display_name":null,"funder_award_id":"2019/23755-3","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G6332337634","display_name":null,"funder_award_id":"2015/21972-6","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G6455351954","display_name":null,"funder_award_id":"23755-3","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G8023921444","display_name":null,"funder_award_id":"2019/01841-5","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"},{"id":"https://openalex.org/G8920435243","display_name":null,"funder_award_id":"Grant 001","funder_id":"https://openalex.org/F4320321091","funder_display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior"}],"funders":[{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"},{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"},{"id":"https://openalex.org/F4320322025","display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","ror":"https://ror.org/03swz6y49"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3172966163.pdf","grobid_xml":"https://content.openalex.org/works/W3172966163.grobid-xml"},"referenced_works_count":54,"referenced_works":["https://openalex.org/W6861795","https://openalex.org/W164326178","https://openalex.org/W173927499","https://openalex.org/W1570736206","https://openalex.org/W1978378863","https://openalex.org/W1978496689","https://openalex.org/W1981371890","https://openalex.org/W2010334716","https://openalex.org/W2014867030","https://openalex.org/W2028941686","https://openalex.org/W2032325349","https://openalex.org/W2035579008","https://openalex.org/W2043841888","https://openalex.org/W2060697127","https://openalex.org/W2067291211","https://openalex.org/W2077230226","https://openalex.org/W2080597247","https://openalex.org/W2086664392","https://openalex.org/W2093909370","https://openalex.org/W2095570364","https://openalex.org/W2103601587","https://openalex.org/W2106424475","https://openalex.org/W2109242547","https://openalex.org/W2111568253","https://openalex.org/W2142419545","https://openalex.org/W2146116618","https://openalex.org/W2159883961","https://openalex.org/W2165700398","https://openalex.org/W2178251483","https://openalex.org/W2281882393","https://openalex.org/W2285892420","https://openalex.org/W2299619383","https://openalex.org/W2315817930","https://openalex.org/W2407185667","https://openalex.org/W2461951329","https://openalex.org/W2481683546","https://openalex.org/W2528180509","https://openalex.org/W2784196006","https://openalex.org/W2790106051","https://openalex.org/W2807850953","https://openalex.org/W2809556993","https://openalex.org/W2810268721","https://openalex.org/W2887198142","https://openalex.org/W2909969407","https://openalex.org/W2911464544","https://openalex.org/W2922798329","https://openalex.org/W2965171151","https://openalex.org/W3003958345","https://openalex.org/W3097981256","https://openalex.org/W3105031806","https://openalex.org/W4211231030","https://openalex.org/W4229675399","https://openalex.org/W4288940005","https://openalex.org/W6766338240"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W4256191623","https://openalex.org/W2118170298"],"abstract_inverted_index":{"The":[0,89,102,137],"optimal":[1],"power":[2,135,167],"flow":[3],"(OPF)":[4],"problem":[5,85,104],"is":[6,105],"a":[7,73,108],"widely":[8],"studied":[9],"subject":[10,126],"in":[11,27,46,54,114],"the":[12,41,58,83,93,98,116,122,128,134,145,151,156,163,182,188,192,199,202,211],"literature":[13,171],"that":[14,48],"has":[15],"been":[16,64],"solved":[17],"through":[18],"classical":[19],"and":[20,30,97,130,155,181],"metaheuristic":[21],"optimization":[22,32,37,194],"techniques.":[23],"Nowadays,":[24],"significant":[25],"advances":[26],"computational":[28],"resources":[29],"commercial":[31,193],"solvers":[33],"allow":[34],"solving":[35],"complex":[36],"problems":[38],"by":[39,191],"combining":[40],"best":[42],"of":[43,133,140,147,150,169,201],"both":[44],"worlds":[45],"approaches":[47,62],"are":[49,185],"known":[50],"as":[51,107],"matheuristics,":[52],"however,":[53],"order":[55],"to":[56,81,120,127,178,209],"solve":[57,82,210],"OPF":[59,84,95,103],"problem,":[60],"matheuristic":[61,79,204],"have":[63],"little":[65],"explored.":[66],"In":[67],"this":[68,70,141],"regard,":[69],"paper":[71],"presents":[72],"novel":[74],"Variable":[75],"Neighborhood":[76],"Descent":[77],"(VND)":[78],"approach":[80],"for":[86,214],"large-scale":[87,215],"systems.":[88,216],"proposed":[90,164,203],"algorithm":[91,205],"combines":[92],"classic":[94],"model":[96,143,213],"VND":[99],"heuristic":[100],"algorithm.":[101],"formulated":[106],"mixed-integer":[109],"nonlinear":[110],"programming":[111],"(MINLP)":[112],"model,":[113],"which":[115],"objective":[117],"function":[118],"aims":[119],"minimize":[121],"fuel":[123],"generation":[124],"costs,":[125],"physical":[129],"operational":[131],"constraints":[132],"system.":[136],"integer":[138],"variables":[139],"MINLP":[142],"represent":[144],"control":[146],"taps":[148],"positions":[149],"on-load":[152],"tap":[153],"changers":[154],"reactive":[157],"shunt":[158],"compensation":[159],"equipment.":[160],"To":[161],"validate":[162],"methodology,":[165],"17":[166],"systems":[168],"specialized":[170],"were":[172],"tested":[173],"with":[174,187,207],"sizes":[175],"from":[176],"14":[177],"4661":[179],"buses,":[180],"obtained":[183],"solutions":[184,189],"compared":[186,206],"provided":[190],"solver":[195],"Knitro.":[196],"Results":[197],"show":[198],"superiority":[200],"Knitro":[208],"MINLP-OPF":[212]},"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":4}],"updated_date":"2026-07-04T07:58:01.006859","created_date":"2025-10-10T00:00:00"}