{"id":"https://openalex.org/W4385938081","doi":"https://doi.org/10.1109/access.2023.3305919","title":"A New Algorithm for Multi-Area Power Flow","display_name":"A New Algorithm for Multi-Area Power Flow","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4385938081","doi":"https://doi.org/10.1109/access.2023.3305919"},"language":"en","primary_location":{"id":"doi:10.1109/access.2023.3305919","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1109/access.2023.3305919","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10223042.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10223042.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5027891087","display_name":"Roberto Benato","orcid":"https://orcid.org/0000-0003-2235-7927"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Roberto Benato","raw_affiliation_strings":["Department of Industrial Engineering, University of Padova, Padua, Italy","Department of Industrial Engineering, University of Padova, Padova, Italy"],"raw_orcid":"https://orcid.org/0000-0003-2235-7927","affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, University of Padova, Padua, Italy","institution_ids":["https://openalex.org/I138689650"]},{"raw_affiliation_string":"Department of Industrial Engineering, University of Padova, Padova, Italy","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5020083379","display_name":"Giovanni Gardan","orcid":"https://orcid.org/0000-0003-4509-7910"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Giovanni Gardan","raw_affiliation_strings":["Department of Industrial Engineering, University of Padova, Padua, Italy","Department of Industrial Engineering, University of Padova, Padova, Italy"],"raw_orcid":"https://orcid.org/0000-0003-4509-7910","affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering, University of Padova, Padua, Italy","institution_ids":["https://openalex.org/I138689650"]},{"raw_affiliation_string":"Department of Industrial Engineering, University of Padova, Padova, Italy","institution_ids":["https://openalex.org/I138689650"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5027891087"],"corresponding_institution_ids":["https://openalex.org/I138689650"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.5064,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.64114237,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":98},"biblio":{"volume":"11","issue":null,"first_page":"89921","last_page":"89932"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","score":0.992900013923645,"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":0.992900013923645,"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/T11102","display_name":"HVDC Systems and Fault Protection","score":0.9916999936103821,"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/tie-line","display_name":"Tie line","score":0.6907530426979065},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5860192775726318},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5833953022956848},{"id":"https://openalex.org/keywords/admittance-parameters","display_name":"Admittance parameters","score":0.5566408038139343},{"id":"https://openalex.org/keywords/solver","display_name":"Solver","score":0.5404807329177856},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4551411271095276},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.4533107876777649},{"id":"https://openalex.org/keywords/th\u00e9venins-theorem","display_name":"Th\u00e9venin's theorem","score":0.4495665431022644},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.44927605986595154},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.44037312269210815},{"id":"https://openalex.org/keywords/sparse-matrix","display_name":"Sparse matrix","score":0.4179896116256714},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.41571515798568726},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3339250087738037},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2810688316822052},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.14506709575653076},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.13347077369689941},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.09999290108680725}],"concepts":[{"id":"https://openalex.org/C32866971","wikidata":"https://www.wikidata.org/wiki/Q7800957","display_name":"Tie line","level":4,"score":0.6907530426979065},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5860192775726318},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5833953022956848},{"id":"https://openalex.org/C133833761","wikidata":"https://www.wikidata.org/wiki/Q16001847","display_name":"Admittance parameters","level":3,"score":0.5566408038139343},{"id":"https://openalex.org/C2778770139","wikidata":"https://www.wikidata.org/wiki/Q1966904","display_name":"Solver","level":2,"score":0.5404807329177856},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4551411271095276},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.4533107876777649},{"id":"https://openalex.org/C540940223","wikidata":"https://www.wikidata.org/wiki/Q241868","display_name":"Th\u00e9venin's theorem","level":4,"score":0.4495665431022644},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.44927605986595154},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.44037312269210815},{"id":"https://openalex.org/C56372850","wikidata":"https://www.wikidata.org/wiki/Q1050404","display_name":"Sparse matrix","level":3,"score":0.4179896116256714},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.41571515798568726},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3339250087738037},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2810688316822052},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.14506709575653076},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.13347077369689941},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.09999290108680725},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/access.2023.3305919","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1109/access.2023.3305919","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10223042.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:www.research.unipd.it:11577/3504379","is_oa":true,"landing_page_url":"https://hdl.handle.net/11577/3504379","pdf_url":"https://www.research.unipd.it/bitstream/11577/3504379/2/A_New_Algorithm_for_Multi-Area_Power_Flow.pdf","source":{"id":"https://openalex.org/S4377196283","display_name":"Research Padua  Archive (University of Padua)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"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":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:3ce8df7efbfe4f06ae58438cafdd6825","is_oa":true,"landing_page_url":"https://doaj.org/article/3ce8df7efbfe4f06ae58438cafdd6825","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":"IEEE Access, Vol 11, Pp 89921-89932 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2023.3305919","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1109/access.2023.3305919","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10223042.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4385938081.pdf","grobid_xml":"https://content.openalex.org/works/W4385938081.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W136761576","https://openalex.org/W616895684","https://openalex.org/W943247227","https://openalex.org/W1521492382","https://openalex.org/W1968686485","https://openalex.org/W1980809269","https://openalex.org/W1987251916","https://openalex.org/W2011017238","https://openalex.org/W2026944595","https://openalex.org/W2047768647","https://openalex.org/W2063273779","https://openalex.org/W2076596987","https://openalex.org/W2156101198","https://openalex.org/W2169820422","https://openalex.org/W2319116727","https://openalex.org/W2904595017","https://openalex.org/W2939477471","https://openalex.org/W3189624793","https://openalex.org/W3196384574","https://openalex.org/W3215759053","https://openalex.org/W4206184777","https://openalex.org/W4226125234","https://openalex.org/W4234071461","https://openalex.org/W6761487240"],"related_works":["https://openalex.org/W2391673360","https://openalex.org/W2359092660","https://openalex.org/W2349246318","https://openalex.org/W2805265401","https://openalex.org/W2599186308","https://openalex.org/W233983175","https://openalex.org/W2361353970","https://openalex.org/W4383653217","https://openalex.org/W2295031148","https://openalex.org/W2355089277"],"abstract_inverted_index":{"In":[0,33,162],"this":[1,163],"paper,":[2],"a":[3,35,152,157,169,175],"new":[4,36,170,176],"algorithm":[5,15,173,200],"computing":[6],"the":[7,46,57,60,70,79,94,103,106,109,124,165,182,185,199,210,213,218],"multi-area":[8,115,177],"power":[9,61,71,85,125,136,171,186],"flow":[10,62,72,86,126,137,172,187],"problem":[11],"is":[12,16,41,87,117,131,167],"presented.":[13,206],"This":[14,67],"suitable":[17,148],"for":[18],"AC":[19,31],"synchronous":[20],"areas":[21],"operating":[22],"in":[23],"steady-state":[24],"conditions":[25],"and":[26,50,119,122,141,156],"interconnected":[27],"by":[28,90,100,134],"means":[29,101],"of":[30,59,63,69,74,96,102,128,150,184,188,198,212],"tie-lines.":[32],"particular,":[34],"iterative":[37],"composition/decomposition":[38],"matrix":[39],"procedure":[40],"adopted.":[42],"For":[43],"each":[44,64,75,97,129,189,191],"area,":[45,190],"classical":[47],"PV,":[48],"PQ,":[49],"slack":[51],"bus":[52],"constraints":[53],"are":[54,205,223],"defined,":[55],"allowing":[56],"computation":[58,81],"area":[65,76,98,130],"independently.":[66],"independency":[68],"solution":[73,127],"allows":[77],"exploiting":[78],"parallel":[80],"technique.":[82],"The":[83,113],"overall":[84],"then":[88],"computed":[89],"putting":[91],"together":[92],"all":[93],"solutions":[95,183],"iteratively,":[99],"tie-line":[104,159],"(i.e.,":[105],"lines":[107],"interconnecting":[108],"areas)":[110],"admittance":[111,160],"matrix.":[112,161],"present":[114],"method":[116,166],"novel":[118,158],"completely":[120],"general":[121],"once":[123],"separately":[132],"achieved":[133],"any":[135],"solver":[138],"(e.g.,":[139],"Newton-Raphson":[140],"derived,":[142],"PFPD,":[143],"or":[144],"other),":[145],"it":[146],"makes":[147],"use":[149],"both":[151],"Thevenin\u2019s":[153],"theorem":[154],"generalization":[155],"direction,":[164],"not":[168],"but":[174],"algorithm,":[178],"which":[179],"starts":[180],"from":[181],"considered":[192],"with":[193,217],"its":[194],"own":[195],"slack-bus.":[196],"Applications":[197],"to":[201,208],"standard":[202],"test":[203,209],"cases":[204],"Eventually,":[207],"validity":[211],"method,":[214],"numerical":[215],"comparisons":[216],"commercial":[219],"software":[220],"DIgSILENT":[221],"PowerFactory":[222],"performed.":[224]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2}],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2025-10-10T00:00:00"}