{"id":"https://openalex.org/W3011390476","doi":"https://doi.org/10.1109/cdc40024.2019.9029827","title":"Sufficient Conditions for Exact Semi-definite Relaxation of Optimal Power Flow in Unbalanced Multiphase Radial Networks","display_name":"Sufficient Conditions for Exact Semi-definite Relaxation of Optimal Power Flow in Unbalanced Multiphase Radial Networks","publication_year":2019,"publication_date":"2019-12-01","ids":{"openalex":"https://openalex.org/W3011390476","doi":"https://doi.org/10.1109/cdc40024.2019.9029827","mag":"3011390476"},"language":"en","primary_location":{"id":"doi:10.1109/cdc40024.2019.9029827","doi":"https://doi.org/10.1109/cdc40024.2019.9029827","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9029827","pdf_url":null,"source":{"id":"https://openalex.org/S4210221977","display_name":"IEEE Conference on Decision and Control (CDC)","issn_l":"0191-2216","issn":["0191-2216"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1910.08258","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091103125","display_name":"Fengyu Zhou","orcid":"https://orcid.org/0000-0002-2639-6491","observed_orcids":["https://orcid.org/0000-0002-2639-6491"]},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fengyu Zhou","raw_affiliation_strings":["Department of Electrical Engineering, California Institute of Technology, Pasadena, CA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, California Institute of Technology, Pasadena, CA","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049456852","display_name":"Yue Chen","orcid":"https://orcid.org/0000-0001-7504-8517","observed_orcids":["https://orcid.org/0000-0001-7504-8517"]},"institutions":[{"id":"https://openalex.org/I4405272849","display_name":"State Key Laboratory of Power System Operation and Control","ror":"https://ror.org/04tfk4w22","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4405272849"]},{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yue Chen","raw_affiliation_strings":["State Key Laboratory of Power Systems, Tsinghua University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Power Systems, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I4405272849","https://openalex.org/I99065089"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069455858","display_name":"Steven H. Low","orcid":"https://orcid.org/0000-0001-6476-3048","observed_orcids":["https://orcid.org/0000-0001-6476-3048"]},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Steven H. Low","raw_affiliation_strings":["Department of Electrical Engineering and the Department of Computing and Mathematical Sciences, California Institute of Technology, Pasadena, CA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and the Department of Computing and Mathematical Sciences, California Institute of Technology, Pasadena, CA","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.7723,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.92053494,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"6227","last_page":"6233"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","score":0.9785000085830688,"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":0.9785000085830688,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.010200000368058681,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10424","display_name":"Electric Power System Optimization","score":0.008299999870359898,"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/optimal-power-flow","display_name":"optimal power flow","score":0.9850000143051147},{"id":"https://openalex.org/keywords/semidefinite-relaxation","display_name":"semidefinite relaxation","score":0.8109999895095825},{"id":"https://openalex.org/keywords/radial-networks","display_name":"radial networks","score":0.7919999957084656},{"id":"https://openalex.org/keywords/tree-topology","display_name":"tree topology","score":0.8999999761581421},{"id":"https://openalex.org/keywords/critical-buses","display_name":"critical buses","score":0.9480000138282776},{"id":"https://openalex.org/keywords/sufficient-conditions","display_name":"sufficient conditions","score":0.6230000257492065}],"concepts":[{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.6609312891960144},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.6529011130332947},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.6261543035507202},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5859116911888123},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5249155163764954},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5022933483123779},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.48307159543037415},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.4824431538581848},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.47148606181144714},{"id":"https://openalex.org/C2986056383","wikidata":"https://www.wikidata.org/wiki/Q556030","display_name":"Power flow","level":4,"score":0.4569426476955414},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.45557940006256104},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42736053466796875},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.22841021418571472},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1457340121269226},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12211215496063232},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07699882984161377},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/cdc40024.2019.9029827","doi":"https://doi.org/10.1109/cdc40024.2019.9029827","is_oa":false,"landing_page_url":"https://doi.org/10.1109/cdc40024.2019.9029827","pdf_url":null,"source":{"id":"https://openalex.org/S4210221977","display_name":"IEEE Conference on Decision and Control (CDC)","issn_l":"0191-2216","issn":["0191-2216"],"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE 58th Conference on Decision and Control (CDC)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1910.08258","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.08258","pdf_url":"https://arxiv.org/pdf/1910.08258","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:authors.library.caltech.edu:105320","doi":null,"is_oa":false,"landing_page_url":"https://authors.library.caltech.edu/105320/","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book Section"},{"id":"doi:10.48550/arxiv.1910.08258","doi":"https://doi.org/10.48550/arxiv.1910.08258","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1910.08258","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1910.08258","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1910.08258","pdf_url":"https://arxiv.org/pdf/1910.08258","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[{"score":0.75,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3011390476.pdf","grobid_xml":"https://content.openalex.org/works/W3011390476.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1541786028","https://openalex.org/W1901949613","https://openalex.org/W1986787924","https://openalex.org/W1990443338","https://openalex.org/W1991988935","https://openalex.org/W2011393317","https://openalex.org/W2030641329","https://openalex.org/W2031454011","https://openalex.org/W2063559372","https://openalex.org/W2085523940","https://openalex.org/W2086664392","https://openalex.org/W2097415784","https://openalex.org/W2100197017","https://openalex.org/W2100682478","https://openalex.org/W2104106131","https://openalex.org/W2131243937","https://openalex.org/W2133919892","https://openalex.org/W2134172715","https://openalex.org/W2141380252","https://openalex.org/W2145367961","https://openalex.org/W2159935945","https://openalex.org/W2217164104","https://openalex.org/W2564233542","https://openalex.org/W2911464544","https://openalex.org/W3101868728","https://openalex.org/W4296139939","https://openalex.org/W6688715519"],"related_works":["https://openalex.org/W2135555797","https://openalex.org/W1991988935","https://openalex.org/W2223583970","https://openalex.org/W2912302731","https://openalex.org/W2758024229","https://openalex.org/W3174557352","https://openalex.org/W2008070957","https://openalex.org/W6999424303","https://openalex.org/W4312870924","https://openalex.org/W2578059933"],"abstract_inverted_index":{"This":[0],"paper":[1],"proves":[2],"that":[3],"in":[4,63],"an":[5,47],"unbalanced":[6],"multi-phase":[7],"network":[8],"with":[9,70],"a":[10,34,57],"tree":[11,65,68],"topology,":[12],"the":[13,41],"semi-definite":[14],"programming":[15],"relaxation":[16,62],"of":[17,73],"optimal":[18],"power":[19],"flow":[20],"problems":[21],"is":[22,45,50],"exact":[23,61],"when":[24],"critical":[25,35],"buses":[26],"are":[27],"not":[28],"adjacent":[29],"to":[30,40,67],"each":[31],"other.":[32],"Here":[33],"bus":[36],"either":[37],"contributes":[38],"directly":[39],"cost":[42],"function":[43],"or":[44],"where":[46],"injection":[48],"constraint":[49],"tight":[51],"at":[52],"optimality.":[53],"Our":[54],"result":[55],"generalizes":[56],"sufficient":[58],"condition":[59],"for":[60],"single-phase":[64],"networks":[66,69],"arbitrary":[71],"number":[72],"phases.":[74]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2020-03-23T00:00:00"}
