{"id":"https://openalex.org/W4386420791","doi":"https://doi.org/10.3390/a16090420","title":"Optimal Integration of Flexible Alternating Current Transmission Systems in Electrical Distribution Grids Using a Mixed-Integer Convex Model","display_name":"Optimal Integration of Flexible Alternating Current Transmission Systems in Electrical Distribution Grids Using a Mixed-Integer Convex Model","publication_year":2023,"publication_date":"2023-09-02","ids":{"openalex":"https://openalex.org/W4386420791","doi":"https://doi.org/10.3390/a16090420"},"language":"en","primary_location":{"id":"doi:10.3390/a16090420","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a16090420","pdf_url":"https://www.mdpi.com/1999-4893/16/9/420/pdf?version=1693625306","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1999-4893/16/9/420/pdf?version=1693625306","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004614202","display_name":"Walter Gil-Gonz\u00e1lez","orcid":"https://orcid.org/0000-0001-7609-1197"},"institutions":[{"id":"https://openalex.org/I200183955","display_name":"Technological University of Pereira","ror":"https://ror.org/01d981710","country_code":"CO","type":"education","lineage":["https://openalex.org/I200183955"]}],"countries":["CO"],"is_corresponding":true,"raw_author_name":"Walter Gil-Gonz\u00e1lez","raw_affiliation_strings":["Department of Electrical Engineering, Universidad Tecnol\u00f3gica de Pereira, Pereira 660003, Colombia"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Universidad Tecnol\u00f3gica de Pereira, Pereira 660003, Colombia","institution_ids":["https://openalex.org/I200183955"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091167317","display_name":"Oscar Danilo Montoya","orcid":"https://orcid.org/0000-0001-6051-4925"},"institutions":[{"id":"https://openalex.org/I332011152","display_name":"Universidad Distrital Francisco Jos\u00e9 de Caldas","ror":"https://ror.org/02jsxd428","country_code":"CO","type":"education","lineage":["https://openalex.org/I332011152"]}],"countries":["CO"],"is_corresponding":true,"raw_author_name":"Oscar Danilo Montoya","raw_affiliation_strings":["Grupo de Compatibilidad e Interferencia Electromagn\u00e9tica (GCEM), Facultad de Ingenier\u00eda, Universidad Distrital Francisco Jos\u00e9 de Caldas, Bogot\u00e1 110231, Colombia"],"affiliations":[{"raw_affiliation_string":"Grupo de Compatibilidad e Interferencia Electromagn\u00e9tica (GCEM), Facultad de Ingenier\u00eda, Universidad Distrital Francisco Jos\u00e9 de Caldas, Bogot\u00e1 110231, Colombia","institution_ids":["https://openalex.org/I332011152"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5060513099","display_name":"C\u00e9sar Leonardo Trujillo Rodr\u00edguez","orcid":"https://orcid.org/0000-0002-0985-1472"},"institutions":[{"id":"https://openalex.org/I332011152","display_name":"Universidad Distrital Francisco Jos\u00e9 de Caldas","ror":"https://ror.org/02jsxd428","country_code":"CO","type":"education","lineage":["https://openalex.org/I332011152"]}],"countries":["CO"],"is_corresponding":false,"raw_author_name":"C\u00e9sar Leonardo Trujillo-Rodr\u00edguez","raw_affiliation_strings":["Laboratorio de Investigaci\u00f3n en Fuentes Alternativas de Energ\u00eda (LIFAE), Facultad de Ingenier\u00eda, Universidad Distrital Francisco Jos\u00e9 de Caldas, Bogot\u00e1 110231, Colombia"],"affiliations":[{"raw_affiliation_string":"Laboratorio de Investigaci\u00f3n en Fuentes Alternativas de Energ\u00eda (LIFAE), Facultad de Ingenier\u00eda, Universidad Distrital Francisco Jos\u00e9 de Caldas, Bogot\u00e1 110231, Colombia","institution_ids":["https://openalex.org/I332011152"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5004614202","https://openalex.org/A5091167317"],"corresponding_institution_ids":["https://openalex.org/I200183955","https://openalex.org/I332011152"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.4006,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.60269532,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"16","issue":"9","first_page":"420","last_page":"420"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","score":0.9998999834060669,"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":0.9998999834060669,"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/T10424","display_name":"Electric Power System Optimization","score":0.9994000196456909,"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/T10223","display_name":"Microgrid Control and Optimization","score":0.9991000294685364,"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/mathematical-optimization","display_name":"Mathematical optimization","score":0.7031077146530151},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.5469558238983154},{"id":"https://openalex.org/keywords/sizing","display_name":"Sizing","score":0.4447939097881317},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4431866705417633},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.44306427240371704},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4420006275177002},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.43505001068115234},{"id":"https://openalex.org/keywords/nonlinear-programming","display_name":"Nonlinear programming","score":0.42769548296928406},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.33677995204925537},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32698336243629456},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.19061881303787231}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7031077146530151},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.5469558238983154},{"id":"https://openalex.org/C2777767291","wikidata":"https://www.wikidata.org/wiki/Q1080291","display_name":"Sizing","level":2,"score":0.4447939097881317},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4431866705417633},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.44306427240371704},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4420006275177002},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.43505001068115234},{"id":"https://openalex.org/C115527620","wikidata":"https://www.wikidata.org/wiki/Q769909","display_name":"Nonlinear programming","level":3,"score":0.42769548296928406},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.33677995204925537},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32698336243629456},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.19061881303787231},{"id":"https://openalex.org/C153349607","wikidata":"https://www.wikidata.org/wiki/Q36649","display_name":"Visual arts","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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:10.3390/a16090420","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a16090420","pdf_url":"https://www.mdpi.com/1999-4893/16/9/420/pdf?version=1693625306","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:3e2024c737464137ad58c4edb0309e86","is_oa":true,"landing_page_url":"https://doaj.org/article/3e2024c737464137ad58c4edb0309e86","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms, Vol 16, Iss 9, p 420 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1999-4893/16/9/420/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/a16090420","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Algorithms","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/a16090420","is_oa":true,"landing_page_url":"https://doi.org/10.3390/a16090420","pdf_url":"https://www.mdpi.com/1999-4893/16/9/420/pdf?version=1693625306","source":{"id":"https://openalex.org/S190629608","display_name":"Algorithms","issn_l":"1999-4893","issn":["1999-4893"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithms","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8399999737739563}],"awards":[],"funders":[{"id":"https://openalex.org/F4320327944","display_name":"Universidad Tecnol\u00f3gica de Pereira","ror":"https://ror.org/01d981710"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4386420791.pdf"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W1968110101","https://openalex.org/W1983373691","https://openalex.org/W1992445306","https://openalex.org/W2013630020","https://openalex.org/W2057057063","https://openalex.org/W2064423629","https://openalex.org/W2145721163","https://openalex.org/W2401288131","https://openalex.org/W2429484160","https://openalex.org/W2536620281","https://openalex.org/W2543823501","https://openalex.org/W2608126091","https://openalex.org/W2762210062","https://openalex.org/W2778553794","https://openalex.org/W2962651722","https://openalex.org/W2967583122","https://openalex.org/W2998612472","https://openalex.org/W3003958345","https://openalex.org/W3031074625","https://openalex.org/W3035670075","https://openalex.org/W3095246708","https://openalex.org/W3101808689","https://openalex.org/W3113907465","https://openalex.org/W3133600562","https://openalex.org/W3194855940","https://openalex.org/W3196514354","https://openalex.org/W4220666335","https://openalex.org/W4282585503","https://openalex.org/W4285113352","https://openalex.org/W4285351217","https://openalex.org/W4286447501","https://openalex.org/W4327736933","https://openalex.org/W4361009473","https://openalex.org/W4361269831","https://openalex.org/W4361278490","https://openalex.org/W4366581816","https://openalex.org/W4367179537","https://openalex.org/W4367300290","https://openalex.org/W4367317921"],"related_works":["https://openalex.org/W2478592842","https://openalex.org/W2047956094","https://openalex.org/W1980522505","https://openalex.org/W2003270086","https://openalex.org/W4324118942","https://openalex.org/W2913057782","https://openalex.org/W2734993473","https://openalex.org/W2151484740","https://openalex.org/W4253768562","https://openalex.org/W2185064329"],"abstract_inverted_index":{"This":[0],"research":[1],"addresses":[2],"the":[3,39,42,48,76,84,94,103,106,112,132,141,145,155,163,171,178,182,186,197,202,217,232,240,242,254,265,268],"efficient":[4],"integration":[5,169],"and":[6,35,53,69,82,159,165,201,216,219,251,258,274],"sizing":[7,36],"of":[8,41,47,59,105,125,131,144,167,181,231],"flexible":[9],"alternating":[10],"current":[11],"transmission":[12],"systems":[13],"(FACTS)":[14],"in":[15,111,154,175,185,211],"electrical":[16],"distribution":[17],"networks":[18],"via":[19,170],"a":[20,88,99,123,228,236],"convex":[21,101,126,135,173],"optimization":[22,90,194,215],"approach.":[23],"The":[24,57,128,222],"exact":[25,95,179],"mixed-integer":[26,100,134],"nonlinear":[27],"programming":[28],"(MINLP)":[29],"model":[30,86,97,136,184],"associated":[31],"with":[32,177,192,213],"FACTS":[33,54,168,233],"siting":[34],"aims":[37],"for":[38,227,253,264],"minimization":[40],"expected":[43],"annual":[44,243],"operating":[45,244],"costs":[46,245],"network":[49],"(i.e.,":[50,196,235],"energy":[51],"losses":[52],"purchasing":[55],"costs).":[56],"constraints":[58,79],"this":[60],"problem":[61],"include":[62],"power":[63,77],"equilibrium":[64,78],"equalities,":[65],"voltage":[66],"regulation":[67],"bounds,":[68],"device":[70],"capacities,":[71],"among":[72],"others.":[73],"Due":[74],"to":[75],"per":[80],"node":[81],"period,":[83],"MINLP":[85,96,183],"is":[87,115,137],"non-convex":[89],"problem.":[91],"To":[92],"transform":[93],"into":[98],"one,":[102],"approximation":[104],"product":[107],"between":[108],"two":[109],"variables":[110],"complex":[113],"domain":[114],"relaxed":[116],"through":[117],"its":[118],"hyperbolic":[119],"equivalent,":[120],"which":[121],"generates":[122],"set":[124],"cones.":[127],"main":[129],"advantage":[130],"proposed":[133,172],"that":[138],"it":[139],"ensures":[140],"global":[142],"optimum":[143],"problem,":[146],"even":[147],"when":[148],"considering":[149],"objective":[150],"multiplexes.":[151],"Numerical":[152],"simulations":[153,207],"IEEE":[156,255],"33-,":[157,256],"69-,":[158,257],"85-bus":[160,259],"grids":[161],"demonstrate":[162],"effectiveness":[164],"robustness":[166],"approach":[174],"comparison":[176],"solution":[180],"GAMS":[187],"software":[188],"as":[189,191],"well":[190],"combinatorial":[193],"algorithms":[195],"black":[198],"widow":[199],"optimizer":[200],"vortex":[203],"search":[204],"algorithm).":[205],"All":[206],"were":[208],"carried":[209],"out":[210],"MATLAB":[212],"Yalmip":[214],"Gurobi":[218],"Mosek":[220],"solvers.":[221],"simulation":[223],"results":[224],"show":[225],"that,":[226],"fixed":[229],"operation":[230,266],"devices":[234],"VAR":[237],"compensator)":[238],"during":[239],"day,":[241],"are":[246,270],"reduced":[247],"by":[248,271],"12.63%,":[249],"13.97%,":[250],"26.53%":[252],"test":[260],"systems,":[261],"respectively,":[262],"while":[263],"variable,":[267],"reductions":[269],"14.24%,":[272],"15.79%,":[273],"30.31%,":[275],"respectively.":[276]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2026-02-28T09:26:25.869077","created_date":"2025-10-10T00:00:00"}
