{"id":"https://openalex.org/W7161145104","doi":"https://doi.org/10.1016/j.asoc.2026.115441","title":"Elite-based cross-entropy method for solving transmission expansion planning","display_name":"Elite-based cross-entropy method for solving transmission expansion planning","publication_year":2026,"publication_date":"2026-05-15","ids":{"openalex":"https://openalex.org/W7161145104","doi":"https://doi.org/10.1016/j.asoc.2026.115441"},"language":"en","primary_location":{"id":"doi:10.1016/j.asoc.2026.115441","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.asoc.2026.115441","pdf_url":null,"source":{"id":"https://openalex.org/S140556538","display_name":"Applied Soft Computing","issn_l":"1568-4946","issn":["1568-4946","1872-9681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Soft Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1016/j.asoc.2026.115441","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5136117577","display_name":"Josiane L. Born","orcid":null},"institutions":[{"id":"https://openalex.org/I2699952","display_name":"Pontif\u00edcia Universidade Cat\u00f3lica do Rio de Janeiro","ror":"https://ror.org/01dg47b60","country_code":"BR","type":"education","lineage":["https://openalex.org/I2699952"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Josiane L. Born","raw_affiliation_strings":["Pontifical Catholic University of Rio de Janeiro, PUC\u2013Rio, Rio de Janeiro, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Pontifical Catholic University of Rio de Janeiro, PUC\u2013Rio, Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I2699952"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136158289","display_name":"Andr\u00e9 Milhorance","orcid":"https://orcid.org/0000-0001-6309-3863"},"institutions":[{"id":"https://openalex.org/I2699952","display_name":"Pontif\u00edcia Universidade Cat\u00f3lica do Rio de Janeiro","ror":"https://ror.org/01dg47b60","country_code":"BR","type":"education","lineage":["https://openalex.org/I2699952"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"Andr\u00e9 Milhorance","raw_affiliation_strings":["Pontifical Catholic University of Rio de Janeiro, PUC\u2013Rio, Rio de Janeiro, Brazil"],"raw_orcid":"https://orcid.org/0000-0001-6309-3863","affiliations":[{"raw_affiliation_string":"Pontifical Catholic University of Rio de Janeiro, PUC\u2013Rio, Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I2699952"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136170573","display_name":"Fernando. A Assis","orcid":"https://orcid.org/0000-0001-6064-4666"},"institutions":[{"id":"https://openalex.org/I4210130985","display_name":"Federal University of S\u00e3o Jo\u00e3o del-Rei","ror":null,"country_code":"BR","type":null,"lineage":["https://openalex.org/I4210130985"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Fernando. A. Assis","raw_affiliation_strings":["Federal University of S\u00e3o Jo\u00e3o del-Rei, UFSJ, S\u00e3o Jo\u00e3o del-Rei, Brazil"],"raw_orcid":"https://orcid.org/0000-0001-6064-4666","affiliations":[{"raw_affiliation_string":"Federal University of S\u00e3o Jo\u00e3o del-Rei, UFSJ, S\u00e3o Jo\u00e3o del-Rei, Brazil","institution_ids":["https://openalex.org/I4210130985"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5136166191","display_name":"Armando M Leite da Silva","orcid":"https://orcid.org/0000-0002-4749-3303"},"institutions":[{"id":"https://openalex.org/I2699952","display_name":"Pontif\u00edcia Universidade Cat\u00f3lica do Rio de Janeiro","ror":"https://ror.org/01dg47b60","country_code":"BR","type":"education","lineage":["https://openalex.org/I2699952"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Armando M. Leite da Silva","raw_affiliation_strings":["Pontifical Catholic University of Rio de Janeiro, PUC\u2013Rio, Rio de Janeiro, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-4749-3303","affiliations":[{"raw_affiliation_string":"Pontifical Catholic University of Rio de Janeiro, PUC\u2013Rio, Rio de Janeiro, Brazil","institution_ids":["https://openalex.org/I2699952"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5136158289"],"corresponding_institution_ids":["https://openalex.org/I2699952"],"apc_list":{"value":3350,"currency":"USD","value_usd":3350},"apc_paid":{"value":3350,"currency":"USD","value_usd":3350},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.86957832,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"200","issue":null,"first_page":"115441","last_page":"115441"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10424","display_name":"Electric Power System Optimization","score":0.8051000237464905,"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/T10424","display_name":"Electric Power System Optimization","score":0.8051000237464905,"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/T10454","display_name":"Optimal Power Flow Distribution","score":0.08780000358819962,"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/T11941","display_name":"Power System Reliability and Maintenance","score":0.03550000116229057,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/transmission","display_name":"Transmission (telecommunications)","score":0.42309999465942383},{"id":"https://openalex.org/keywords/work","display_name":"Work (physics)","score":0.2612999975681305},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.24240000545978546},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.23440000414848328}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6297000050544739},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.42410001158714294},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.42309999465942383},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32429999113082886},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.2612999975681305},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.24240000545978546},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.23980000615119934},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.23440000414848328},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23080000281333923},{"id":"https://openalex.org/C99498987","wikidata":"https://www.wikidata.org/wiki/Q2210247","display_name":"Noise (video)","level":3,"score":0.2296999990940094}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.asoc.2026.115441","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.asoc.2026.115441","pdf_url":null,"source":{"id":"https://openalex.org/S140556538","display_name":"Applied Soft Computing","issn_l":"1568-4946","issn":["1568-4946","1872-9681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Soft Computing","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/j.asoc.2026.115441","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.asoc.2026.115441","pdf_url":null,"source":{"id":"https://openalex.org/S140556538","display_name":"Applied Soft Computing","issn_l":"1568-4946","issn":["1568-4946","1872-9681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Soft Computing","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.558957040309906,"id":"https://metadata.un.org/sdg/13","display_name":"Climate action"}],"awards":[],"funders":[{"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"},{"id":"https://openalex.org/F4320323809","display_name":"Minist\u00e9rio da Educa\u00e7\u00e3o","ror":"https://ror.org/04d0xx942"},{"id":"https://openalex.org/F4320327335","display_name":"Minist\u00e9rio da Ci\u00eancia, Tecnologia, Inova\u00e7\u00f5es e Comunica\u00e7\u00f5es","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":64,"referenced_works":["https://openalex.org/W1538128774","https://openalex.org/W1577393402","https://openalex.org/W1965146257","https://openalex.org/W1976880041","https://openalex.org/W1980473572","https://openalex.org/W1981467298","https://openalex.org/W1982664446","https://openalex.org/W1985658808","https://openalex.org/W1986084829","https://openalex.org/W1989712824","https://openalex.org/W2000069692","https://openalex.org/W2006952390","https://openalex.org/W2008366144","https://openalex.org/W2034806268","https://openalex.org/W2035363319","https://openalex.org/W2040884647","https://openalex.org/W2048403582","https://openalex.org/W2050417618","https://openalex.org/W2054586434","https://openalex.org/W2056574351","https://openalex.org/W2056636551","https://openalex.org/W2060171953","https://openalex.org/W2063977369","https://openalex.org/W2065321032","https://openalex.org/W2065631796","https://openalex.org/W2071296487","https://openalex.org/W2084418679","https://openalex.org/W2088017348","https://openalex.org/W2088606303","https://openalex.org/W2090557396","https://openalex.org/W2098852014","https://openalex.org/W2102102497","https://openalex.org/W2106924943","https://openalex.org/W2107149279","https://openalex.org/W2108051346","https://openalex.org/W2133615895","https://openalex.org/W2134586188","https://openalex.org/W2152880535","https://openalex.org/W2155062160","https://openalex.org/W2155463867","https://openalex.org/W2163237325","https://openalex.org/W2168283238","https://openalex.org/W2238766926","https://openalex.org/W2294006647","https://openalex.org/W2531739624","https://openalex.org/W2608990483","https://openalex.org/W2766474393","https://openalex.org/W2791782787","https://openalex.org/W2808048481","https://openalex.org/W2889691632","https://openalex.org/W2938514468","https://openalex.org/W2941143667","https://openalex.org/W2966945052","https://openalex.org/W3091550316","https://openalex.org/W3128307085","https://openalex.org/W3215003840","https://openalex.org/W4230686932","https://openalex.org/W4246026573","https://openalex.org/W4293874527","https://openalex.org/W4312935095","https://openalex.org/W4408125707","https://openalex.org/W4409796708","https://openalex.org/W4410932145","https://openalex.org/W4414671699"],"related_works":[],"abstract_inverted_index":{"Transmission":[0],"expansion":[1,152],"planning":[2,87,153],"(TEP)":[3],"determines":[4],"the":[5,16,25,40,45,53,62,82,103,125,129],"location,":[6],"timing,":[7],"and":[8,35,58,101,117,133,142,163,179],"number":[9],"of":[10,48,55,64,172],"new":[11,32,180],"circuits":[12],"required":[13],"to":[14,27],"reinforce":[15],"power":[17,42,50,95,170],"grid.":[18],"By":[19],"strategically":[20],"selecting":[21],"reinforcements,":[22],"TEP":[23,83,92],"prepares":[24],"network":[26],"accommodate":[28],"demand":[29],"growth,":[30],"integrate":[31],"generation":[33],"sources,":[34],"adopt":[36],"emerging":[37],"technologies":[38],"in":[39],"electric":[41],"sector.":[43],"However,":[44],"growing":[46],"scale":[47],"modern":[49],"systems":[51,171],"increases":[52],"complexity":[54],"problem":[56],"formulation":[57],"its":[59],"solution,":[60],"motivating":[61],"development":[63],"computationally":[65],"efficient":[66],"optimization":[67,84],"approaches.":[68],"This":[69],"paper":[70],"proposes":[71],"a":[72,140],"cross-entropy":[73,149],"(CE)":[74],"algorithm":[75],"with":[76,93],"an":[77,114],"elite-based":[78],"strategy":[79],"for":[80,98,145,150],"solving":[81],"problem.":[85],"The":[86,107],"model":[88],"considers":[89],"static,":[90],"long-term":[91],"DC":[94],"flow,":[96],"accounts":[97],"ohmic":[99],"losses,":[100],"enforces":[102],"\u201cN-1\u201d":[104],"security":[105],"criterion.":[106],"methodology":[108],"is":[109],"validated":[110],"on":[111,167],"three":[112,168],"systems:":[113],"academic":[115],"benchmark":[116,169],"two":[118],"large-scale":[119],"real-world":[120],"networks.":[121],"In":[122],"all":[123],"cases,":[124],"CE":[126],"method":[127],"explores":[128],"solution":[130],"space":[131],"effectively":[132],"yields":[134],"high-quality":[135],"plans,":[136],"positioning":[137],"it":[138],"as":[139],"compelling":[141],"relevant":[143],"approach":[144],"TEP.":[146],"\u2022":[147,154,165,175],"Elite-based":[148],"transmission":[151],"Ranked-criteria":[155],"optimization:":[156],"minimize":[157],"load":[158],"cuts,":[159],"cost,":[160],"line":[161],"additions,":[162],"losses":[164],"Validated":[166],"different":[173],"sizes":[174],"Finds":[176],"best-known":[177],"plans":[178],"superior":[181],"solutions":[182],"from":[183],"prior":[184],"studies":[185]},"counts_by_year":[],"updated_date":"2026-05-19T06:13:58.757530","created_date":"2026-05-15T00:00:00"}