{"id":"https://openalex.org/W4310174174","doi":"https://doi.org/10.1109/isgt-europe54678.2022.9960635","title":"A Novel Two-Stage Tractable Approach to Multi-Period Optimal Power Flow in Smart Grids","display_name":"A Novel Two-Stage Tractable Approach to Multi-Period Optimal Power Flow in Smart Grids","publication_year":2022,"publication_date":"2022-10-10","ids":{"openalex":"https://openalex.org/W4310174174","doi":"https://doi.org/10.1109/isgt-europe54678.2022.9960635"},"language":"en","primary_location":{"id":"doi:10.1109/isgt-europe54678.2022.9960635","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isgt-europe54678.2022.9960635","pdf_url":null,"source":{"id":"https://openalex.org/S4363608096","display_name":"2022 IEEE PES Innovative Smart Grid Technologies Conference Europe (ISGT-Europe)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE PES Innovative Smart Grid Technologies Conference Europe (ISGT-Europe)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5041532621","display_name":"Muhammad Usman","orcid":"https://orcid.org/0000-0001-7875-605X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Muhammad Usman","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5030440309","display_name":"Florin Capitanescu","orcid":"https://orcid.org/0000-0002-1991-465X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Florin Capitanescu","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"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/T10603","display_name":"Smart Grid Energy Management","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/benchmark","display_name":"Benchmark (surveying)","score":0.7870420813560486},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7570885419845581},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.676809549331665},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6520748138427734},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.537981390953064},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5368891358375549},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.5167871713638306},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5082578063011169},{"id":"https://openalex.org/keywords/smart-grid","display_name":"Smart grid","score":0.486205518245697},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2040959596633911},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09456208348274231}],"concepts":[{"id":"https://openalex.org/C185798385","wikidata":"https://www.wikidata.org/wiki/Q1161707","display_name":"Benchmark (surveying)","level":2,"score":0.7870420813560486},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7570885419845581},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.676809549331665},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6520748138427734},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.537981390953064},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5368891358375549},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.5167871713638306},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5082578063011169},{"id":"https://openalex.org/C10558101","wikidata":"https://www.wikidata.org/wiki/Q689855","display_name":"Smart grid","level":2,"score":0.486205518245697},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2040959596633911},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09456208348274231},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C13280743","wikidata":"https://www.wikidata.org/wiki/Q131089","display_name":"Geodesy","level":1,"score":0.0},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.0},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","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/isgt-europe54678.2022.9960635","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isgt-europe54678.2022.9960635","pdf_url":null,"source":{"id":"https://openalex.org/S4363608096","display_name":"2022 IEEE PES Innovative Smart Grid Technologies Conference Europe (ISGT-Europe)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE PES Innovative Smart Grid Technologies Conference Europe (ISGT-Europe)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.8899999856948853}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1918816242","https://openalex.org/W1989500638","https://openalex.org/W1996730948","https://openalex.org/W2040886477","https://openalex.org/W2108261364","https://openalex.org/W2170736358","https://openalex.org/W2342775144","https://openalex.org/W2552860134","https://openalex.org/W2572169820","https://openalex.org/W2581548326","https://openalex.org/W2620280477","https://openalex.org/W2808343779","https://openalex.org/W2909119630","https://openalex.org/W2952857014","https://openalex.org/W3007057482","https://openalex.org/W3044561769","https://openalex.org/W3045689935","https://openalex.org/W3090531785","https://openalex.org/W3105558219","https://openalex.org/W3202553477","https://openalex.org/W4293153335","https://openalex.org/W4294982577","https://openalex.org/W6781783496"],"related_works":["https://openalex.org/W2186864281","https://openalex.org/W4255427455","https://openalex.org/W1966025497","https://openalex.org/W68941528","https://openalex.org/W4285278887","https://openalex.org/W2365237642","https://openalex.org/W2995925505","https://openalex.org/W2773399470","https://openalex.org/W3116484972","https://openalex.org/W2941986668"],"abstract_inverted_index":{"This":[0],"paper":[1],"proposes":[2],"a":[3,31,66,72,156],"new":[4],"two-stage":[5,73],"tractable":[6,125],"approach":[7,60,153],"to":[8,65,94,155],"solve":[9],"deterministic":[10],"multi-period":[11],"AC":[12,118],"optimal":[13],"power":[14,119],"flow":[15],"(D-MP-OPF)":[16],"for":[17,177],"day-ahead":[18],"flexibility":[19,128],"procurement":[20,129],"from":[21],"distributed":[22],"energy":[23],"resources":[24],"in":[25,61,85,109,134,182],"smart":[26],"grids.":[27],"The":[28,121],"D-MP-OPF":[29],"is":[30,38,75],"mixed-integer":[32,80],"nonlinear":[33],"programming":[34,82,116],"(MINLP)":[35],"problem":[36,69],"which":[37,77],"inherently":[39],"intractable":[40],"as":[41],"modeling":[42],"the":[43,58,79,86,91,95,99,105,110,151,178],"operation":[44],"of":[45,68,123,140,184],"storage":[46],"devices":[47],"and":[48,102,117,126,142,159,168,172],"flexible":[49],"loads":[50],"requires":[51],"utilizing":[52],"binary":[53,92],"variables.":[54],"To":[55],"achieve":[56],"tractability,":[57],"proposed":[59,76,124,152],"this":[62],"work":[63],"resorts":[64],"series":[67],"linearizations.":[70],"Specifically,":[71],"algorithm":[74],"solves":[78],"linear":[81,115],"(MILP)":[83],"model":[84,181],"first":[87],"stage,":[88],"then":[89],"fixes":[90],"variables":[93,108],"values":[96],"computed":[97],"by":[98],"MILP":[100],"problem,":[101],"finally":[103],"optimizes":[104],"remaining":[106],"continuous":[107],"second":[111],"stage":[112],"through":[113],"sequential":[114],"flow.":[120],"performances":[122],"benchmark":[127,179],"methodologies":[130],"are":[131],"thoroughly":[132],"compared":[133],"two":[135],"radial":[136],"active":[137],"distribution":[138],"systems":[139],"34":[141],"191":[143],"nodes,":[144],"respectively.":[145],"Extensive":[146],"numerical":[147],"analyses":[148],"indicate":[149],"that":[150],"leads":[154],"highly":[157],"accurate":[158],"feasible":[160],"solution":[161],"with":[162],"small":[163],"optimality":[164],"gap":[165],"under":[166],"normal":[167],"stressed":[169],"operating":[170],"condition,":[171],"outperforms":[173],"an":[174],"off-the-shelf":[175],"solver":[176],"MINLP":[180],"terms":[183],"computational":[185],"efficiency.":[186]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}