{"id":"https://openalex.org/W3021982617","doi":"https://doi.org/10.1109/tsg.2020.2991210","title":"Affine Arithmetic-Based Coordinated Interval Power Flow of Integrated Transmission and Distribution Networks","display_name":"Affine Arithmetic-Based Coordinated Interval Power Flow of Integrated Transmission and Distribution Networks","publication_year":2020,"publication_date":"2020-04-29","ids":{"openalex":"https://openalex.org/W3021982617","doi":"https://doi.org/10.1109/tsg.2020.2991210","mag":"3021982617"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2020.2991210","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2020.2991210","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/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"],"raw_orcid":"https://orcid.org/0000-0003-1133-819X","affiliations":[{"raw_affiliation_string":"College of Electrical Engineering, Zhejiang University, Hangzhou","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"],"raw_orcid":"https://orcid.org/0000-0003-2924-4554","affiliations":[{"raw_affiliation_string":"College of Electrical Engineering, Zhejiang University, Hangzhou","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101818744","display_name":"Chengzhi Zhu","orcid":"https://orcid.org/0000-0002-4520-9348"},"institutions":[{"id":"https://openalex.org/I4210132615","display_name":"Zhejiang Energy Group (China)","ror":"https://ror.org/03a2tkf74","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210132615"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chengzhi Zhu","raw_affiliation_strings":["Innovation and Entrepreneurship Center, Zhejiang Electric Power Corporation, Hangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Innovation and Entrepreneurship Center, Zhejiang Electric Power Corporation, Hangzhou, China","institution_ids":["https://openalex.org/I4210132615"]}]},{"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":["College of Electrical Engineering, Zhejiang University, Hangzhou, China","Department of Electrical and Computer Engineering, University of Macau, Macau, China","State Key Laboratory of Internet of Things for Smart City, University of Macau, Macau, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Electrical Engineering, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Macau, Macau, China","institution_ids":["https://openalex.org/I204512498"]},{"raw_affiliation_string":"State Key Laboratory of Internet of Things for Smart City, University of Macau, Macau, China","institution_ids":["https://openalex.org/I6469544","https://openalex.org/I204512498"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.665,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.83964632,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"11","issue":"5","first_page":"4116","last_page":"4132"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","score":0.9984999895095825,"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":0.9984999895095825,"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":0.9973000288009644,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.5877173542976379},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5152785778045654},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4985036849975586},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4640812873840332},{"id":"https://openalex.org/keywords/affine-arithmetic","display_name":"Affine arithmetic","score":0.46242469549179077},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.45144930481910706},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.42215844988822937},{"id":"https://openalex.org/keywords/asynchronous-communication","display_name":"Asynchronous communication","score":0.41812649369239807},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4104984998703003},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4028928577899933},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.3920133709907532},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.351188063621521},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32565855979919434},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09761583805084229},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09422937035560608}],"concepts":[{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.5877173542976379},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5152785778045654},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4985036849975586},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4640812873840332},{"id":"https://openalex.org/C167315692","wikidata":"https://www.wikidata.org/wiki/Q3622729","display_name":"Affine arithmetic","level":3,"score":0.46242469549179077},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.45144930481910706},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.42215844988822937},{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.41812649369239807},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4104984998703003},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4028928577899933},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.3920133709907532},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.351188063621521},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32565855979919434},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09761583805084229},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09422937035560608},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsg.2020.2991210","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2020.2991210","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":[],"awards":[{"id":"https://openalex.org/G7411148015","display_name":null,"funder_award_id":"52110418000M","funder_id":"https://openalex.org/F4320335984","funder_display_name":"Science and Technology Foundation of State Grid Corporation of China"}],"funders":[{"id":"https://openalex.org/F4320335984","display_name":"Science and Technology Foundation of State Grid Corporation of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1727182467","https://openalex.org/W1997483756","https://openalex.org/W1998228937","https://openalex.org/W2012235121","https://openalex.org/W2052608046","https://openalex.org/W2067611562","https://openalex.org/W2073139546","https://openalex.org/W2089713781","https://openalex.org/W2091049831","https://openalex.org/W2093261176","https://openalex.org/W2115736354","https://openalex.org/W2131798279","https://openalex.org/W2167067930","https://openalex.org/W2168403885","https://openalex.org/W2273879208","https://openalex.org/W2413316362","https://openalex.org/W2461368346","https://openalex.org/W2470083989","https://openalex.org/W2507083593","https://openalex.org/W2514112486","https://openalex.org/W2562181270","https://openalex.org/W2595255641","https://openalex.org/W2764013588","https://openalex.org/W2963632188","https://openalex.org/W6650105642"],"related_works":["https://openalex.org/W3129089851","https://openalex.org/W2147412345","https://openalex.org/W1541259390","https://openalex.org/W1965628666","https://openalex.org/W109635080","https://openalex.org/W2151040698","https://openalex.org/W1573628673","https://openalex.org/W2372895661","https://openalex.org/W2104768602","https://openalex.org/W2170363076"],"abstract_inverted_index":{"Considering":[0],"the":[1,40,46,50,54,57,113,119,128,131,139,154],"increasing":[2],"coupling":[3],"between":[4,72],"transmission":[5,18,74],"and":[6,19,33,78,94,148,162],"distribution":[7,20,80],"networks,":[8,164],"an":[9,104],"affine":[10,47],"arithmetic-based":[11],"interval":[12,121],"power":[13,106,122],"flow":[14,107,123],"algorithm":[15,62,156],"of":[16,42,49,56,115,130,153,167],"integrated":[17],"(I-T&D)":[21],"networks":[22,93,117],"is":[23,36,63,109],"proposed.":[24],"First,":[25],"a":[26,73],"novel":[27],"two-step":[28,133],"approximation":[29,134,144],"method":[30,108],"for":[31],"sine":[32],"cosine":[34],"functions":[35],"proposed":[37,58,110,120,132,155],"to":[38,111],"reduce":[39],"number":[41],"noise":[43],"variables":[44],"in":[45,157],"form":[48],"injected":[51],"power,":[52],"as":[53,136,138],"basis":[55],"algorithm.":[59,124],"Then,":[60],"this":[61],"divided":[64],"into":[65],"four":[66],"stages,":[67],"which":[68],"are":[69,99],"implemented":[70],"alternatively":[71],"system":[75,81],"operator":[76],"(TSO)":[77],"multiple":[79],"operators":[82],"(DSOs)":[83],"by":[84],"exchanging":[85],"parameters":[86],"at":[87],"TSO-DSO":[88],"boundaries.":[89],"Three-phase":[90],"unbalanced":[91],"I-T&D":[92],"boundary":[95],"tap":[96],"changer":[97],"action":[98],"also":[100],"discussed.":[101],"In":[102],"addition,":[103],"asynchronous":[105],"mitigate":[112],"influences":[114],"communication":[116],"on":[118],"Numerical":[125],"experiments":[126],"demonstrate":[127],"effectiveness":[129],"method,":[135],"well":[137],"conservative":[140],"property,":[141],"fairly":[142],"good":[143],"effect,":[145],"high":[146],"efficiency,":[147],"low":[149],"data":[150],"exchange":[151],"amount":[152],"various":[158,169],"circumstances,":[159],"including":[160],"single-phase":[161],"three-phase":[163],"varying":[165],"degrees":[166],"unbalance,":[168],"smart":[170],"inverter":[171],"controls,":[172],"etc.":[173]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
