{"id":"https://openalex.org/W7123363408","doi":"https://doi.org/10.1109/access.2026.3653346","title":"Voltage Magnitude and Voltage Stability Margin Optimization Through Allocation and Sizing of SVCs via VNS Algorithm","display_name":"Voltage Magnitude and Voltage Stability Margin Optimization Through Allocation and Sizing of SVCs via VNS Algorithm","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7123363408","doi":"https://doi.org/10.1109/access.2026.3653346"},"language":null,"primary_location":{"id":"doi:10.1109/access.2026.3653346","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2026.3653346","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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://doi.org/10.1109/access.2026.3653346","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5122849044","display_name":"Cesar E. C. Carri\u00f3n","orcid":null},"institutions":[{"id":"https://openalex.org/I177909021","display_name":"Universidade Federal de S\u00e3o Carlos","ror":"https://ror.org/00qdc6m37","country_code":"BR","type":"education","lineage":["https://openalex.org/I177909021"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Cesar E. C. Carri\u00f3n","raw_affiliation_strings":["São Carlos School of Engineering, University of São Paulo, São Carlos, Brazil"],"raw_orcid":"https://orcid.org/0009-0001-0921-4975","affiliations":[{"raw_affiliation_string":"São Carlos School of Engineering, University of São Paulo, São Carlos, Brazil","institution_ids":["https://openalex.org/I177909021"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5104530504","display_name":"Wandry Rodrigues Faria","orcid":null},"institutions":[{"id":"https://openalex.org/I177909021","display_name":"Universidade Federal de S\u00e3o Carlos","ror":"https://ror.org/00qdc6m37","country_code":"BR","type":"education","lineage":["https://openalex.org/I177909021"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Wandry R. Faria","raw_affiliation_strings":["São Carlos School of Engineering, University of São Paulo, São Carlos, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-8757-7595","affiliations":[{"raw_affiliation_string":"São Carlos School of Engineering, University of São Paulo, São Carlos, Brazil","institution_ids":["https://openalex.org/I177909021"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5122846718","display_name":"Ellen C. C. De Souza","orcid":null},"institutions":[{"id":"https://openalex.org/I177909021","display_name":"Universidade Federal de S\u00e3o Carlos","ror":"https://ror.org/00qdc6m37","country_code":"BR","type":"education","lineage":["https://openalex.org/I177909021"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Ellen C. C. de Souza","raw_affiliation_strings":["São Carlos School of Engineering, University of São Paulo, São Carlos, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"São Carlos School of Engineering, University of São Paulo, São Carlos, Brazil","institution_ids":["https://openalex.org/I177909021"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080252884","display_name":"Rodrigo A. Ramos","orcid":"https://orcid.org/0000-0002-2240-1150"},"institutions":[{"id":"https://openalex.org/I177909021","display_name":"Universidade Federal de S\u00e3o Carlos","ror":"https://ror.org/00qdc6m37","country_code":"BR","type":"education","lineage":["https://openalex.org/I177909021"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Rodrigo A. Ramos","raw_affiliation_strings":["São Carlos School of Engineering, University of São Paulo, São Carlos, Brazil"],"raw_orcid":"https://orcid.org/0000-0002-2240-1150","affiliations":[{"raw_affiliation_string":"São Carlos School of Engineering, University of São Paulo, São Carlos, Brazil","institution_ids":["https://openalex.org/I177909021"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079388906","display_name":"Eduardo N. Asada","orcid":"https://orcid.org/0000-0003-3764-9877"},"institutions":[{"id":"https://openalex.org/I177909021","display_name":"Universidade Federal de S\u00e3o Carlos","ror":"https://ror.org/00qdc6m37","country_code":"BR","type":"education","lineage":["https://openalex.org/I177909021"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Eduardo N. Asada","raw_affiliation_strings":["São Carlos School of Engineering, University of São Paulo, São Carlos, Brazil"],"raw_orcid":"https://orcid.org/0000-0003-3764-9877","affiliations":[{"raw_affiliation_string":"São Carlos School of Engineering, University of São Paulo, São Carlos, Brazil","institution_ids":["https://openalex.org/I177909021"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5122847981","display_name":"Benvindo R. Pereira","orcid":null},"institutions":[{"id":"https://openalex.org/I177909021","display_name":"Universidade Federal de S\u00e3o Carlos","ror":"https://ror.org/00qdc6m37","country_code":"BR","type":"education","lineage":["https://openalex.org/I177909021"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Benvindo R. Pereira Junior","raw_affiliation_strings":["São Carlos School of Engineering, University of São Paulo, São Carlos, Brazil"],"raw_orcid":"https://orcid.org/0000-0003-2157-5148","affiliations":[{"raw_affiliation_string":"São Carlos School of Engineering, University of São Paulo, São Carlos, Brazil","institution_ids":["https://openalex.org/I177909021"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I177909021"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03817081,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":null,"first_page":"9168","last_page":"9182"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10305","display_name":"Power System Optimization and Stability","score":0.6826000213623047,"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/T10305","display_name":"Power System Optimization and Stability","score":0.6826000213623047,"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":0.14910000562667847,"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/T10573","display_name":"Power Quality and Harmonics","score":0.07159999758005142,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.6506999731063843},{"id":"https://openalex.org/keywords/margin","display_name":"Margin (machine learning)","score":0.6448000073432922},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6410999894142151},{"id":"https://openalex.org/keywords/sizing","display_name":"Sizing","score":0.608299970626831},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.5471000075340271},{"id":"https://openalex.org/keywords/ac-power","display_name":"AC power","score":0.505299985408783},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.47870001196861267},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.46160000562667847},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.4341999888420105}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6654999852180481},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.6506999731063843},{"id":"https://openalex.org/C774472","wikidata":"https://www.wikidata.org/wiki/Q6760393","display_name":"Margin (machine learning)","level":2,"score":0.6448000073432922},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6410999894142151},{"id":"https://openalex.org/C2777767291","wikidata":"https://www.wikidata.org/wiki/Q1080291","display_name":"Sizing","level":2,"score":0.608299970626831},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.5471000075340271},{"id":"https://openalex.org/C108755667","wikidata":"https://www.wikidata.org/wiki/Q1930258","display_name":"AC power","level":3,"score":0.505299985408783},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.47870001196861267},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.46160000562667847},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.4341999888420105},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.43380001187324524},{"id":"https://openalex.org/C126691448","wikidata":"https://www.wikidata.org/wiki/Q2028919","display_name":"Magnitude (astronomy)","level":2,"score":0.396699994802475},{"id":"https://openalex.org/C46529443","wikidata":"https://www.wikidata.org/wiki/Q7940750","display_name":"Voltage optimisation","level":4,"score":0.3817000091075897},{"id":"https://openalex.org/C200601418","wikidata":"https://www.wikidata.org/wiki/Q2193887","display_name":"Reliability engineering","level":1,"score":0.38019999861717224},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3776000142097473},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.36739999055862427},{"id":"https://openalex.org/C196226539","wikidata":"https://www.wikidata.org/wiki/Q7940752","display_name":"Voltage regulation","level":3,"score":0.35190001130104065},{"id":"https://openalex.org/C10349047","wikidata":"https://www.wikidata.org/wiki/Q839922","display_name":"Static VAR compensator","level":4,"score":0.34950000047683716},{"id":"https://openalex.org/C44351266","wikidata":"https://www.wikidata.org/wiki/Q1465532","display_name":"Voltage reference","level":3,"score":0.31299999356269836},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30230000615119934},{"id":"https://openalex.org/C110706871","wikidata":"https://www.wikidata.org/wiki/Q851210","display_name":"Voltage regulator","level":3,"score":0.2906999886035919},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.28279998898506165},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.2676999866962433},{"id":"https://openalex.org/C15032970","wikidata":"https://www.wikidata.org/wiki/Q851210","display_name":"Dropout voltage","level":4,"score":0.26100000739097595},{"id":"https://openalex.org/C128624480","wikidata":"https://www.wikidata.org/wiki/Q1504817","display_name":"Low voltage","level":3,"score":0.25130000710487366},{"id":"https://openalex.org/C156120966","wikidata":"https://www.wikidata.org/wiki/Q7940742","display_name":"Voltage controller","level":5,"score":0.2508000135421753}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/access.2026.3653346","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2026.3653346","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1109/access.2026.3653346","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2026.3653346","pdf_url":null,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3415720201","display_name":null,"funder_award_id":"408464/2023-2","funder_id":"https://openalex.org/F4320322025","funder_display_name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico"}],"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/F4320324219","display_name":"Total","ror":"https://ror.org/04sk34n56"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W7756056","https://openalex.org/W1578476034","https://openalex.org/W1678741983","https://openalex.org/W1986293382","https://openalex.org/W1988069669","https://openalex.org/W1988630549","https://openalex.org/W2010334716","https://openalex.org/W2020198264","https://openalex.org/W2069657950","https://openalex.org/W2106126426","https://openalex.org/W2110761242","https://openalex.org/W2151257546","https://openalex.org/W2157174590","https://openalex.org/W2601025298","https://openalex.org/W2614986090","https://openalex.org/W2794735166","https://openalex.org/W2963850168","https://openalex.org/W2990831511","https://openalex.org/W3004969042","https://openalex.org/W3015148800","https://openalex.org/W3015966939","https://openalex.org/W3198511264","https://openalex.org/W3206785635","https://openalex.org/W4307817468","https://openalex.org/W4360995539","https://openalex.org/W4366967204","https://openalex.org/W4399769077","https://openalex.org/W4407783342","https://openalex.org/W4411949030"],"related_works":[],"abstract_inverted_index":{"An":[0],"effective":[1],"approach":[2,29,164],"to":[3,20,40,61,136,194],"address":[4],"challenges":[5],"in":[6,165],"voltage":[7,42,67,99,114,167],"regulation":[8],"is":[9],"the":[10,21,31,88,91,98,104,108,113,121,124,139,159,162,181,185],"allocation":[11,33],"of":[12,34,90,110,116,123,161],"equipment":[13],"that":[14],"provide":[15],"fast-responding":[16],"reactive":[17,95],"power":[18,22,96,186],"support":[19],"system.":[23],"This":[24],"paper":[25],"presents":[26],"an":[27],"optimization":[28,74],"for":[30,103,146,173],"strategic":[32],"Static":[35],"VAR":[36],"Compensators":[37],"(SVCs),":[38],"aiming":[39],"enhance":[41],"magnitude":[43,100,115],"and":[44,55,65,107,134,142,149,169,192],"stability":[45,171],"margin.":[46],"The":[47,73,177],"proposed":[48,163,182],"methodology":[49],"incorporates":[50],"Voltage":[51,56],"Severity":[52],"Index":[53],"(VSI)":[54],"Security":[57],"Margin":[58],"(VSM)":[59],"analysis":[60],"ensure":[62],"operational":[63,85,175],"reliability":[64],"prevent":[66],"collapse":[68],"under":[69],"different":[70],"system":[71,157],"conditions.":[72,176],"model,":[75],"formulated":[76],"as":[77],"a":[78,117,126,154],"mixed-integer":[79],"non-linear":[80],"problem,":[81,125],"considers":[82],"key":[83],"SVC":[84,147],"characteristics,":[86],"including":[87],"slope":[89],"V/Q":[92],"operating":[93],"curve,":[94],"capacity,":[97],"reference":[101],"value":[102],"controlled":[105],"bus,":[106],"possibility":[109],"remotely":[111],"controlling":[112],"specific":[118],"bus.":[119],"Given":[120],"complexity":[122],"Variable":[127],"Neighborhood":[128],"Search":[129],"(VNS)":[130],"algorithm":[131,183],"was":[132],"developed":[133],"tailored":[135],"efficiently":[137],"explore":[138],"solution":[140,178],"space":[141],"determine":[143],"high-quality":[144],"strategies":[145],"placement":[148],"sizing.":[150],"Simulation":[151],"results":[152],"on":[153],"107-bus":[155],"test":[156],"demonstrate":[158],"effectiveness":[160],"mitigating":[166],"violations":[168],"enhancing":[170],"margins":[172],"multiple":[174],"found":[179],"by":[180,189],"enhances":[184],"system\u2019s":[187],"performance":[188],"54%":[190],"VSI-wise":[191],"up":[193],"540%":[195],"VSM-wise.":[196]},"counts_by_year":[],"updated_date":"2026-01-25T23:04:38.658462","created_date":"2026-01-14T00:00:00"}