{"id":"https://openalex.org/W4220769011","doi":"https://doi.org/10.3390/computers11040053","title":"Optimal Allocation and Sizing of PV Generation Units in Distribution Networks via the Generalized Normal Distribution Optimization Approach","display_name":"Optimal Allocation and Sizing of PV Generation Units in Distribution Networks via the Generalized Normal Distribution Optimization Approach","publication_year":2022,"publication_date":"2022-03-31","ids":{"openalex":"https://openalex.org/W4220769011","doi":"https://doi.org/10.3390/computers11040053"},"language":"en","primary_location":{"id":"doi:10.3390/computers11040053","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computers11040053","pdf_url":"https://www.mdpi.com/2073-431X/11/4/53/pdf?version=1648718498","source":{"id":"https://openalex.org/S4210228075","display_name":"Computers","issn_l":"2073-431X","issn":["2073-431X"],"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":"Computers","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-431X/11/4/53/pdf?version=1648718498","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091167317","display_name":"Oscar Danilo Montoya","orcid":"https://orcid.org/0000-0001-6051-4925"},"institutions":[{"id":"https://openalex.org/I141943178","display_name":"Universidad Tecnol\u00f3gica de Bol\u00edvar","ror":"https://ror.org/01d171k92","country_code":"CO","type":"education","lineage":["https://openalex.org/I141943178"]},{"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, Facultad de Ingenier\u00eda, Universidad Distrital Francisco Jos\u00e9 de Caldas, Bogot\u00e1 110231, Colombia","Laboratorio Inteligente de Energ\u00eda, Facultad de Ingenier\u00eda, Universidad Tecnol\u00f3gica de Bol\u00edvar, Cartagena 131001, Colombia"],"raw_orcid":"https://orcid.org/0000-0001-6051-4925","affiliations":[{"raw_affiliation_string":"Grupo de Compatibilidad e Interferencia Electromagn\u00e9tica, Facultad de Ingenier\u00eda, Universidad Distrital Francisco Jos\u00e9 de Caldas, Bogot\u00e1 110231, Colombia","institution_ids":["https://openalex.org/I332011152"]},{"raw_affiliation_string":"Laboratorio Inteligente de Energ\u00eda, Facultad de Ingenier\u00eda, Universidad Tecnol\u00f3gica de Bol\u00edvar, Cartagena 131001, Colombia","institution_ids":["https://openalex.org/I141943178"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5003816455","display_name":"Luis Fernando Grisales-Nore\u00f1a","orcid":"https://orcid.org/0000-0002-1409-9756"},"institutions":[{"id":"https://openalex.org/I4210094719","display_name":"Instituci\u00f3n Universitaria Pascual Bravo","ror":"https://ror.org/00s1b0733","country_code":"CO","type":"education","lineage":["https://openalex.org/I4210094719"]}],"countries":["CO"],"is_corresponding":false,"raw_author_name":"Luis Fernando Grisales-Nore\u00f1a","raw_affiliation_strings":["Facultad de Ingenier\u00eda, Campus Robledo, Instituci\u00f3n Universitaria Pascual Bravo, Medell\u00edn 050036, Colombia"],"raw_orcid":"https://orcid.org/0000-0002-1409-9756","affiliations":[{"raw_affiliation_string":"Facultad de Ingenier\u00eda, Campus Robledo, Instituci\u00f3n Universitaria Pascual Bravo, Medell\u00edn 050036, Colombia","institution_ids":["https://openalex.org/I4210094719"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013615440","display_name":"Carlos Andr\u00e9s Ramos\u2010Paja","orcid":"https://orcid.org/0000-0003-2231-4177"},"institutions":[{"id":"https://openalex.org/I36243813","display_name":"Universidad Nacional de Colombia","ror":"https://ror.org/059yx9a68","country_code":"CO","type":"education","lineage":["https://openalex.org/I36243813"]}],"countries":["CO"],"is_corresponding":false,"raw_author_name":"Carlos Andres Ramos-Paja","raw_affiliation_strings":["Facultad de Minas, Universidad Nacional de Colombia, Medell\u00edn 050041, Colombia"],"raw_orcid":"https://orcid.org/0000-0003-2231-4177","affiliations":[{"raw_affiliation_string":"Facultad de Minas, Universidad Nacional de Colombia, Medell\u00edn 050041, Colombia","institution_ids":["https://openalex.org/I36243813"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5091167317"],"corresponding_institution_ids":["https://openalex.org/I141943178","https://openalex.org/I332011152"],"apc_list":{"value":1600,"currency":"CHF","value_usd":1782},"apc_paid":{"value":1600,"currency":"CHF","value_usd":1782},"fwci":0.9693,"has_fulltext":true,"cited_by_count":13,"citation_normalized_percentile":{"value":0.71446502,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"11","issue":"4","first_page":"53","last_page":"53"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","score":1.0,"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":1.0,"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":0.9997000098228455,"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/T10223","display_name":"Microgrid Control and Optimization","score":0.9990000128746033,"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":0.6768894195556641},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.633334755897522},{"id":"https://openalex.org/keywords/sizing","display_name":"Sizing","score":0.5105839371681213},{"id":"https://openalex.org/keywords/dimensioning","display_name":"Dimensioning","score":0.5105351209640503},{"id":"https://openalex.org/keywords/photovoltaic-system","display_name":"Photovoltaic system","score":0.4768610894680023},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.46464893221855164},{"id":"https://openalex.org/keywords/metaheuristic","display_name":"Metaheuristic","score":0.4524648189544678},{"id":"https://openalex.org/keywords/genetic-algorithm","display_name":"Genetic algorithm","score":0.4361231327056885},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4313383102416992},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35258179903030396},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.153629869222641}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6768894195556641},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.633334755897522},{"id":"https://openalex.org/C2777767291","wikidata":"https://www.wikidata.org/wiki/Q1080291","display_name":"Sizing","level":2,"score":0.5105839371681213},{"id":"https://openalex.org/C89714869","wikidata":"https://www.wikidata.org/wiki/Q2280470","display_name":"Dimensioning","level":2,"score":0.5105351209640503},{"id":"https://openalex.org/C41291067","wikidata":"https://www.wikidata.org/wiki/Q1897785","display_name":"Photovoltaic system","level":2,"score":0.4768610894680023},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46464893221855164},{"id":"https://openalex.org/C109718341","wikidata":"https://www.wikidata.org/wiki/Q1385229","display_name":"Metaheuristic","level":2,"score":0.4524648189544678},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.4361231327056885},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4313383102416992},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35258179903030396},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.153629869222641},{"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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/computers11040053","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computers11040053","pdf_url":"https://www.mdpi.com/2073-431X/11/4/53/pdf?version=1648718498","source":{"id":"https://openalex.org/S4210228075","display_name":"Computers","issn_l":"2073-431X","issn":["2073-431X"],"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":"Computers","raw_type":"journal-article"},{"id":"pmh:oai:repositorio.utb.edu.co:20.500.12585/12431","is_oa":true,"landing_page_url":"https://hdl.handle.net/20.500.12585/12431","pdf_url":"http://repositorio.utb.edu.co/bitstreams/a2d2709c-d8fc-4516-9296-facc664cecd5/download","source":{"id":"https://openalex.org/S7407055175","display_name":"Repositorio UTB","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-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computers","raw_type":"http://purl.org/coar/resource_type/c_6501"},{"id":"pmh:oai:doaj.org/article:2a0b98b0a7de4c728206df3791797517","is_oa":true,"landing_page_url":"https://doaj.org/article/2a0b98b0a7de4c728206df3791797517","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":"Computers, Vol 11, Iss 4, p 53 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/computers11040053","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computers11040053","pdf_url":"https://www.mdpi.com/2073-431X/11/4/53/pdf?version=1648718498","source":{"id":"https://openalex.org/S4210228075","display_name":"Computers","issn_l":"2073-431X","issn":["2073-431X"],"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":"Computers","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.7099999785423279}],"awards":[{"id":"https://openalex.org/G521758834","display_name":null,"funder_award_id":"51503","funder_id":"https://openalex.org/F4320321458","funder_display_name":"Universidad Nacional de Colombia"}],"funders":[{"id":"https://openalex.org/F4320321458","display_name":"Universidad Nacional de Colombia","ror":"https://ror.org/059yx9a68"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4220769011.pdf","grobid_xml":"https://content.openalex.org/works/W4220769011.grobid-xml"},"referenced_works_count":43,"referenced_works":["https://openalex.org/W240568961","https://openalex.org/W1587783288","https://openalex.org/W1967766138","https://openalex.org/W2027714582","https://openalex.org/W2077895376","https://openalex.org/W2172810359","https://openalex.org/W2528041244","https://openalex.org/W2529113360","https://openalex.org/W2580859433","https://openalex.org/W2796663859","https://openalex.org/W2805836013","https://openalex.org/W2883658742","https://openalex.org/W2902640353","https://openalex.org/W2913421766","https://openalex.org/W2921782370","https://openalex.org/W2972658325","https://openalex.org/W2981285713","https://openalex.org/W2981925694","https://openalex.org/W2998038184","https://openalex.org/W2999361490","https://openalex.org/W3006543788","https://openalex.org/W3011981939","https://openalex.org/W3021037526","https://openalex.org/W3024842609","https://openalex.org/W3024954200","https://openalex.org/W3026878669","https://openalex.org/W3033139652","https://openalex.org/W3035130655","https://openalex.org/W3039903761","https://openalex.org/W3083171042","https://openalex.org/W3087118235","https://openalex.org/W3104281390","https://openalex.org/W3113907465","https://openalex.org/W3136581438","https://openalex.org/W3164780401","https://openalex.org/W3186965506","https://openalex.org/W4200143370","https://openalex.org/W4200159796","https://openalex.org/W4207078315","https://openalex.org/W4220815458","https://openalex.org/W4221050607","https://openalex.org/W4299523578","https://openalex.org/W6732116048"],"related_works":["https://openalex.org/W1562131159","https://openalex.org/W2367248359","https://openalex.org/W2379979386","https://openalex.org/W2980301606","https://openalex.org/W2363010132","https://openalex.org/W2375311683","https://openalex.org/W582258172","https://openalex.org/W1998726547","https://openalex.org/W1749089359","https://openalex.org/W2372259569"],"abstract_inverted_index":{"The":[0,26],"problem":[1],"of":[2,7,23,62,72],"optimal":[3],"siting":[4],"and":[5,60,93,125],"dimensioning":[6],"photovoltaic":[8],"(PV)":[9],"generators":[10],"in":[11,17,89,171],"medium-voltage":[12],"distribution":[13,47],"networks":[14],"is":[15,32,54,85,101],"addressed":[16],"this":[18],"research":[19],"from":[20,177],"the":[21,41,44,58,63,67,70,73,79,90,98,102,108,118,129,137,145,150,165,185],"perspective":[22],"combinatorial":[24],"optimization.":[25],"exact":[27,109,126],"mixed-integer":[28],"programming":[29],"(MINLP)":[30],"model":[31],"solved":[33],"using":[34,128],"a":[35,51],"master\u2013slave":[36],"(MS)":[37],"optimization":[38,48],"approach.":[39],"In":[40,66,168],"master":[42],"stage,":[43,69],"generalized":[45],"normal":[46],"(GNDO)":[49],"with":[50,136,164,182],"discrete\u2013continuous":[52],"codification":[53],"used":[55],"to":[56,184],"represent":[57],"locations":[59],"sizes":[61],"PV":[64],"generators.":[65],"slave":[68],"generalization":[71],"backward/forward":[74],"power":[75,82],"method,":[76,84],"known":[77],"as":[78,112],"successive":[80],"approximation":[81],"flow":[83],"adopted.":[86],"Numerical":[87],"simulations":[88],"IEEE":[91],"33-bus":[92],"69-bus":[94],"systems":[95],"demonstrated":[96],"that":[97,176],"GNDO":[99],"approach":[100],"most":[103],"efficient":[104],"method":[105],"for":[106,158],"solving":[107],"MINLP":[110],"model,":[111],"it":[113],"obtained":[114],"better":[115],"results":[116],"than":[117],"genetic":[119],"algorithm,":[120,122],"vortex-search":[121],"Newton-metaheuristic":[123],"optimizer,":[124],"solution":[127],"General":[130],"Algebraic":[131],"Modeling":[132],"System":[133],"(GAMS)":[134],"software":[135],"BONMIN":[138],"solver.":[139],"Simulations":[140],"showed":[141,175],"that,":[142],"on":[143],"average,":[144],"proposed":[146],"MS":[147],"optimizer":[148],"reduced":[149],"total":[151],"annual":[152],"operative":[153],"costs":[154],"by":[155],"approximately":[156],"27%":[157],"both":[159],"test":[160],"feeders":[161],"when":[162],"compared":[163],"reference":[166,186],"case.":[167],"addition,":[169],"variations":[170],"renewable":[172],"generation":[173],"availability":[174],"30%":[178],"ahead,":[179],"positive":[180],"reductions":[181],"respect":[183],"case":[187],"were":[188],"obtained.":[189]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5}],"updated_date":"2026-08-10T07:06:39.071514","created_date":"2022-04-03T00:00:00"}