{"id":"https://openalex.org/W3194348111","doi":"https://doi.org/10.1109/jsyst.2021.3098815","title":"A Quadratic Convergent Iteration-Variable-Correction-Based Method for Optimal Power Flow of Transmission-Distribution-Coupled Systems","display_name":"A Quadratic Convergent Iteration-Variable-Correction-Based Method for Optimal Power Flow of Transmission-Distribution-Coupled Systems","publication_year":2021,"publication_date":"2021-08-20","ids":{"openalex":"https://openalex.org/W3194348111","doi":"https://doi.org/10.1109/jsyst.2021.3098815","mag":"3194348111"},"language":"en","primary_location":{"id":"doi:10.1109/jsyst.2021.3098815","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jsyst.2021.3098815","pdf_url":null,"source":{"id":"https://openalex.org/S95999327","display_name":"IEEE Systems Journal","issn_l":"1932-8184","issn":["1932-8184","1937-9234","2373-7816"],"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 Systems Journal","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/A5048954315","display_name":"Kunjie Tang","orcid":"https://orcid.org/0000-0003-1133-819X"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Kunjie Tang","raw_affiliation_strings":["College of Electrical Engineering, Zhejiang University, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-1133-819X","affiliations":[{"raw_affiliation_string":"College of Electrical Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080732123","display_name":"Shufeng Dong","orcid":"https://orcid.org/0000-0003-2924-4554"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shufeng Dong","raw_affiliation_strings":["College of Electrical Engineering, Zhejiang University, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-2924-4554","affiliations":[{"raw_affiliation_string":"College of Electrical Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064691727","display_name":"Yonghua Song","orcid":"https://orcid.org/0000-0002-1495-4644"},"institutions":[{"id":"https://openalex.org/I204512498","display_name":"University of Macau","ror":"https://ror.org/01r4q9n85","country_code":"MO","type":"education","lineage":["https://openalex.org/I204512498"]},{"id":"https://openalex.org/I6469544","display_name":"City University of Macau","ror":"https://ror.org/04gpd4q15","country_code":"MO","type":"education","lineage":["https://openalex.org/I6469544"]},{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN","MO"],"is_corresponding":false,"raw_author_name":"Yonghua Song","raw_affiliation_strings":["State Key Laboratory of Internet of Things for Smart City and Department of Electrical and Computer Engineering, University of Macau, Macau, China","College of Electrical Engineering, Zhejiang University, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-1495-4644","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Internet of Things for Smart City and Department of Electrical and Computer Engineering, University of Macau, Macau, China","institution_ids":["https://openalex.org/I6469544","https://openalex.org/I204512498"]},{"raw_affiliation_string":"College of Electrical Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5085,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.64440637,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"16","issue":"2","first_page":"3360","last_page":"3371"},"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/T10305","display_name":"Power System Optimization and Stability","score":0.9980000257492065,"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":0.9864000082015991,"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/convergence","display_name":"Convergence (economics)","score":0.6557199954986572},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6358725428581238},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5766457915306091},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5305989980697632},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.4989449977874756},{"id":"https://openalex.org/keywords/iterative-method","display_name":"Iterative method","score":0.49051088094711304},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.4760717749595642},{"id":"https://openalex.org/keywords/power-flow","display_name":"Power flow","score":0.4434203505516052},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.4407036006450653},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.434505820274353},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.37810224294662476},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37527263164520264},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3527590036392212},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.3294496536254883}],"concepts":[{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6557199954986572},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6358725428581238},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5766457915306091},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5305989980697632},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.4989449977874756},{"id":"https://openalex.org/C159694833","wikidata":"https://www.wikidata.org/wiki/Q2321565","display_name":"Iterative method","level":2,"score":0.49051088094711304},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.4760717749595642},{"id":"https://openalex.org/C2986056383","wikidata":"https://www.wikidata.org/wiki/Q556030","display_name":"Power flow","level":4,"score":0.4434203505516052},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.4407036006450653},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.434505820274353},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.37810224294662476},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37527263164520264},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3527590036392212},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3294496536254883},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/jsyst.2021.3098815","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jsyst.2021.3098815","pdf_url":null,"source":{"id":"https://openalex.org/S95999327","display_name":"IEEE Systems Journal","issn_l":"1932-8184","issn":["1932-8184","1937-9234","2373-7816"],"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 Systems Journal","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5299999713897705,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G4599199053","display_name":null,"funder_award_id":"52077193","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1976826271","https://openalex.org/W1979173135","https://openalex.org/W1996879797","https://openalex.org/W2002154164","https://openalex.org/W2004291635","https://openalex.org/W2005237506","https://openalex.org/W2011393317","https://openalex.org/W2027849835","https://openalex.org/W2043883819","https://openalex.org/W2052230136","https://openalex.org/W2087610654","https://openalex.org/W2088511592","https://openalex.org/W2092936791","https://openalex.org/W2106067217","https://openalex.org/W2112716483","https://openalex.org/W2136600767","https://openalex.org/W2137446729","https://openalex.org/W2149185571","https://openalex.org/W2151795203","https://openalex.org/W2156536042","https://openalex.org/W2285686016","https://openalex.org/W2292178720","https://openalex.org/W2292758822","https://openalex.org/W2470083989","https://openalex.org/W2479566716","https://openalex.org/W2545995265","https://openalex.org/W2584037906","https://openalex.org/W2608703863","https://openalex.org/W2737628516","https://openalex.org/W2753887424","https://openalex.org/W2787445098","https://openalex.org/W2789650187","https://openalex.org/W2791638530","https://openalex.org/W2962840086","https://openalex.org/W2963632188","https://openalex.org/W3025437991","https://openalex.org/W3083443797","https://openalex.org/W3104243370","https://openalex.org/W4245783092","https://openalex.org/W6711844732","https://openalex.org/W6743945790"],"related_works":["https://openalex.org/W3018365851","https://openalex.org/W3207484021","https://openalex.org/W4292026839","https://openalex.org/W3123600015","https://openalex.org/W136259318","https://openalex.org/W48531881","https://openalex.org/W3125961646","https://openalex.org/W3125497426","https://openalex.org/W2354248364","https://openalex.org/W1603875766"],"abstract_inverted_index":{"An":[0],"iteration-variable-correction":[1],"(IVC)":[2],"based":[3,44,140],"method":[4,139,166],"is":[5,61,73,119],"proposed":[6,131],"for":[7],"solving":[8],"optimal":[9],"power":[10,91],"flow":[11],"(OPF)":[12],"of":[13,39,55,68,82,116,167],"transmission-distribution-coupled":[14],"(TDC)":[15],"systems.":[16],"First,":[17],"a":[18,25],"TDC":[19,77],"system":[20],"can":[21,151],"be":[22,94,152],"divided":[23],"into":[24],"single":[26],"coordinator":[27],"and":[28,37,85,101,149,177],"multiple":[29],"agents.":[30],"Then,":[31],"the":[32,46,53,56,59,65,69,79,86,109,117,130,134,138,142,155,178],"basic":[33],"formulation,":[34],"subproblem":[35],"construction,":[36],"selection":[38],"iteration":[40],"variables":[41],"are":[42],"given":[43],"on":[45,105,141],"conventional":[47,57,160],"heterogeneous":[48],"decomposition":[49,161],"algorithm":[50],"(HGD).":[51],"Considering":[52],"limitations":[54],"HGD,":[58],"IVC":[60,118,132,156],"proposed.":[62],"According":[63],"to":[64,75,89],"general":[66],"theory":[67],"IVC,":[70],"when":[71],"it":[72],"applied":[74],"solve":[76],"OPF,":[78],"voltage":[80],"magnitude":[81],"boundary":[83,90],"buses":[84],"multipliers":[87],"corresponding":[88],"injections":[92],"will":[93],"corrected":[95],"every":[96],"four":[97,111],"iterations":[98],"with":[99,158],"first-order":[100],"second-order":[102],"differential":[103],"operations":[104],"historical":[106],"results":[107],"in":[108],"previous":[110],"iterations.":[112],"The":[113,125],"quadratic":[114],"convergence":[115,148],"proved":[120],"under":[121,154],"several":[122],"weak":[123],"assumptions.":[124],"numerical":[126],"experiments":[127],"demonstrate":[128],"that":[129],"has":[133],"same":[135],"accuracy":[136],"as":[137],"centralized":[143],"OPF":[144],"model.":[145],"Also,":[146],"better":[147],"efficiency":[150],"achieved":[153],"compared":[157],"some":[159],"methods,":[162],"including":[163],"alternating":[164],"direction":[165],"multipliers,":[168],"auxiliary":[169],"problem":[170],"principle":[171],"method,":[172,176],"analytical":[173],"target":[174],"cascading":[175],"HGD.":[179]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}