{"id":"https://openalex.org/W4312805881","doi":"https://doi.org/10.1109/tsg.2022.3211449","title":"Two-Stage Stochastic Optimization Model for Multi-Microgrid Planning","display_name":"Two-Stage Stochastic Optimization Model for Multi-Microgrid Planning","publication_year":2022,"publication_date":"2022-10-03","ids":{"openalex":"https://openalex.org/W4312805881","doi":"https://doi.org/10.1109/tsg.2022.3211449"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2022.3211449","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2022.3211449","pdf_url":null,"source":{"id":"https://openalex.org/S59604973","display_name":"IEEE Transactions on Smart Grid","issn_l":"1949-3053","issn":["1949-3053","1949-3061"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Smart Grid","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053586033","display_name":"Enrique Gabriel Vera","orcid":"https://orcid.org/0000-0003-2442-0715"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Enrique Gabriel Vera","raw_affiliation_strings":["Department of Electrical and Computer Engineering, The University of Waterloo, Waterloo, ON, Canada"],"raw_orcid":"https://orcid.org/0000-0003-2442-0715","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, The University of Waterloo, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023775699","display_name":"Claudio A. Ca\u00f1izares","orcid":"https://orcid.org/0000-0003-1458-2569"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Claudio A. Ca\u00f1izares","raw_affiliation_strings":["Department of Electrical and Computer Engineering, The University of Waterloo, Waterloo, ON, Canada"],"raw_orcid":"https://orcid.org/0000-0003-1458-2569","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, The University of Waterloo, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000420621","display_name":"Mehrdad Pirnia","orcid":"https://orcid.org/0000-0002-9654-4365"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Mehrdad Pirnia","raw_affiliation_strings":["Department of Electrical and Computer Engineering, The University of Waterloo, Waterloo, ON, Canada"],"raw_orcid":"https://orcid.org/0000-0002-9654-4365","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, The University of Waterloo, Waterloo, ON, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023652267","display_name":"Tatiana Guedes","orcid":"https://orcid.org/0000-0001-8890-6453"},"institutions":[{"id":"https://openalex.org/I71715416","display_name":"Universidade Federal do ABC","ror":"https://ror.org/028kg9j04","country_code":"BR","type":"education","lineage":["https://openalex.org/I71715416"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Tatiana Pontual Guedes","raw_affiliation_strings":["Graduate Program in Energy (PPGENE), Federal University of ABC, Santo Andr&#x00E9;, Brazil"],"raw_orcid":"https://orcid.org/0000-0001-8890-6453","affiliations":[{"raw_affiliation_string":"Graduate Program in Energy (PPGENE), Federal University of ABC, Santo Andr&#x00E9;, Brazil","institution_ids":["https://openalex.org/I71715416"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085146232","display_name":"Joel D. Melo","orcid":"https://orcid.org/0000-0001-5046-1890"},"institutions":[{"id":"https://openalex.org/I71715416","display_name":"Universidade Federal do ABC","ror":"https://ror.org/028kg9j04","country_code":"BR","type":"education","lineage":["https://openalex.org/I71715416"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Joel David Melo Trujillo","raw_affiliation_strings":["Graduate Program in Energy (PPGENE), Federal University of ABC, Santo Andr&#x00E9;, Brazil"],"raw_orcid":"https://orcid.org/0000-0001-5046-1890","affiliations":[{"raw_affiliation_string":"Graduate Program in Energy (PPGENE), Federal University of ABC, Santo Andr&#x00E9;, Brazil","institution_ids":["https://openalex.org/I71715416"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":8.8596,"has_fulltext":false,"cited_by_count":84,"citation_normalized_percentile":{"value":0.98664956,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"14","issue":"3","first_page":"1723","last_page":"1735"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":0.9991999864578247,"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"}},{"id":"https://openalex.org/T10603","display_name":"Smart Grid Energy Management","score":0.9991999864578247,"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":0.9987999796867371,"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/microgrid","display_name":"Microgrid","score":0.8251287937164307},{"id":"https://openalex.org/keywords/stochastic-programming","display_name":"Stochastic programming","score":0.6324411034584045},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.620924711227417},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5823764801025391},{"id":"https://openalex.org/keywords/renewable-energy","display_name":"Renewable energy","score":0.5706982016563416},{"id":"https://openalex.org/keywords/stochastic-modelling","display_name":"Stochastic modelling","score":0.5394045114517212},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.47380322217941284},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.4395041763782501},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.32429078221321106},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.23209574818611145},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.15468549728393555}],"concepts":[{"id":"https://openalex.org/C2776784348","wikidata":"https://www.wikidata.org/wiki/Q5762595","display_name":"Microgrid","level":3,"score":0.8251287937164307},{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.6324411034584045},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.620924711227417},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5823764801025391},{"id":"https://openalex.org/C188573790","wikidata":"https://www.wikidata.org/wiki/Q12705","display_name":"Renewable energy","level":2,"score":0.5706982016563416},{"id":"https://openalex.org/C127491075","wikidata":"https://www.wikidata.org/wiki/Q7617825","display_name":"Stochastic modelling","level":2,"score":0.5394045114517212},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.47380322217941284},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.4395041763782501},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.32429078221321106},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.23209574818611145},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.15468549728393555},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsg.2022.3211449","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2022.3211449","pdf_url":null,"source":{"id":"https://openalex.org/S59604973","display_name":"IEEE Transactions on Smart Grid","issn_l":"1949-3053","issn":["1949-3053","1949-3061"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Smart Grid","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","score":0.6000000238418579,"display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G4686814281","display_name":null,"funder_award_id":"2021/08832-1","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/G5496557307","display_name":null,"funder_award_id":"2019/00466-6","funder_id":"https://openalex.org/F4320320997","funder_display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo"}],"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/F4320322676","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":61,"referenced_works":["https://openalex.org/W51105495","https://openalex.org/W1494277681","https://openalex.org/W1517040598","https://openalex.org/W1527606880","https://openalex.org/W2009461239","https://openalex.org/W2055626315","https://openalex.org/W2069804366","https://openalex.org/W2072991174","https://openalex.org/W2087682750","https://openalex.org/W2092581917","https://openalex.org/W2116357499","https://openalex.org/W2123721951","https://openalex.org/W2127384497","https://openalex.org/W2152626777","https://openalex.org/W2266771545","https://openalex.org/W2291078312","https://openalex.org/W2298326002","https://openalex.org/W2316202267","https://openalex.org/W2322952724","https://openalex.org/W2340364570","https://openalex.org/W2344187742","https://openalex.org/W2346333715","https://openalex.org/W2566501956","https://openalex.org/W2623981875","https://openalex.org/W2736918648","https://openalex.org/W2775538088","https://openalex.org/W2777216400","https://openalex.org/W2787260057","https://openalex.org/W2791530036","https://openalex.org/W2807163071","https://openalex.org/W2900859370","https://openalex.org/W2927178475","https://openalex.org/W2932128957","https://openalex.org/W2951622154","https://openalex.org/W2954646619","https://openalex.org/W2970044184","https://openalex.org/W2973139600","https://openalex.org/W2982566437","https://openalex.org/W2989302924","https://openalex.org/W2994546315","https://openalex.org/W3002957949","https://openalex.org/W3008156899","https://openalex.org/W3008196572","https://openalex.org/W3009880228","https://openalex.org/W3012544813","https://openalex.org/W3017000783","https://openalex.org/W3025361320","https://openalex.org/W3070953475","https://openalex.org/W3098168880","https://openalex.org/W3116157303","https://openalex.org/W3118284262","https://openalex.org/W3119045440","https://openalex.org/W3131549879","https://openalex.org/W3167942041","https://openalex.org/W3177475053","https://openalex.org/W3209814175","https://openalex.org/W4233944357","https://openalex.org/W4234975995","https://openalex.org/W4246228166","https://openalex.org/W4254717236","https://openalex.org/W6752445879"],"related_works":["https://openalex.org/W2382905498","https://openalex.org/W1585941908","https://openalex.org/W3022460320","https://openalex.org/W2029226820","https://openalex.org/W3111705864","https://openalex.org/W2066991826","https://openalex.org/W2613240917","https://openalex.org/W4378533450","https://openalex.org/W4294992859","https://openalex.org/W2603686330"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,107,146],"Two":[4],"Stage":[5],"stochastic":[6],"Programming":[7,150],"(TSSP)":[8],"model":[9,22,63,85,122],"for":[10],"the":[11,26,90,110,120,129],"planning":[12,84,131],"of":[13,33,92,98,112],"Multi-Microgrids":[14],"(MMGs)":[15],"in":[16,106,109],"Active":[17],"Distribution":[18],"Networks":[19],"(ADNs).":[20],"The":[21,47,62,83,116],"aims":[23],"to":[24,77,88,124],"minimize":[25],"total":[27],"costs":[28],"while":[29,142],"benefiting":[30],"from":[31],"interconnections":[32],"Microgrids":[34,101],"(MGs),":[35],"considering":[36],"uncertainties":[37,49],"associated":[38,48],"with":[39,153],"electricity":[40],"demand":[41],"and":[42,57,68,138],"Renewable":[43],"Energy":[44],"Sources":[45],"(RESs).":[46],"are":[50],"analyzed":[51],"using":[52,72],"Geometric":[53],"Brownian":[54],"Motion":[55],"(GBM)":[56],"probability":[58],"distribution":[59],"functions":[60],"(pdfs).":[61],"includes":[64],"long-term":[65],"purchase":[66],"decisions":[67],"short-term":[69],"operational":[70],"constraints,":[71,141],"Geographical":[73],"information":[74],"Systems":[75],"(GIS)":[76],"realistically":[78],"estimate":[79],"rooftop":[80],"solar":[81],"limits.":[82],"is":[86,134],"used":[87],"study":[89],"feasibility":[91],"implementing":[93],"an":[94,104],"MMG":[95],"system":[96],"consisting":[97],"4":[99],"individual":[100],"(MGs)":[102],"at":[103],"ADN":[105],"municipality":[108],"state":[111],"S\u00e3o":[113],"Paulo,":[114],"Brazil.":[115],"results":[117],"show":[118],"that":[119],"TSSP":[121],"tends":[123],"be":[125],"less":[126],"conservative":[127],"than":[128,145],"deterministic":[130],"model,":[132],"which":[133],"based":[135],"on":[136],"simple":[137,147],"pessimistic":[139],"reserve":[140],"performing":[143],"faster":[144],"Stochastic":[148],"Linear":[149],"(SLP)":[151],"algorithm,":[152],"higher":[154],"accuracy.":[155]},"counts_by_year":[{"year":2026,"cited_by_count":11},{"year":2025,"cited_by_count":32},{"year":2024,"cited_by_count":31},{"year":2023,"cited_by_count":10}],"updated_date":"2026-06-18T10:00:31.954636","created_date":"2025-10-10T00:00:00"}
