{"id":"https://openalex.org/W4205611679","doi":"https://doi.org/10.1109/jsyst.2021.3138908","title":"Admissible Region of Renewable Generation Ensuring Power Flow Solvability in Distribution Networks","display_name":"Admissible Region of Renewable Generation Ensuring Power Flow Solvability in Distribution Networks","publication_year":2022,"publication_date":"2022-01-14","ids":{"openalex":"https://openalex.org/W4205611679","doi":"https://doi.org/10.1109/jsyst.2021.3138908"},"language":"en","primary_location":{"id":"doi:10.1109/jsyst.2021.3138908","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jsyst.2021.3138908","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/A5074429730","display_name":"Ziqi Shen","orcid":"https://orcid.org/0000-0002-2681-0410"},"institutions":[{"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":"Ziqi Shen","raw_affiliation_strings":["State Key Laboratory of Power Systems, Department of Electrical Engineering, Tsinghua University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-2681-0410","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Power Systems, Department of Electrical Engineering, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100323700","display_name":"Wei Wei","orcid":"https://orcid.org/0000-0002-2426-3660"},"institutions":[{"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":"Wei Wei","raw_affiliation_strings":["State Key Laboratory of Power Systems, Department of Electrical Engineering, Tsinghua University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-2426-3660","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Power Systems, Department of Electrical Engineering, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010781360","display_name":"Tao Ding","orcid":"https://orcid.org/0000-0002-7590-0172"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Ding","raw_affiliation_strings":["Department of Electrical Engineering, Xi’an Jiaotong University, Xi’an, China"],"raw_orcid":"https://orcid.org/0000-0002-7590-0172","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Xi’an Jiaotong University, Xi’an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100363813","display_name":"Zhigang Li","orcid":"https://orcid.org/0000-0003-0464-8800"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhigang Li","raw_affiliation_strings":["School of Electrical Engineering, South China University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-0464-8800","affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000459401","display_name":"Shengwei Mei","orcid":"https://orcid.org/0000-0002-2757-5977"},"institutions":[{"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":"Shengwei Mei","raw_affiliation_strings":["State Key Laboratory of Power Systems, Department of Electrical Engineering, Tsinghua University, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-2757-5977","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Power Systems, Department of Electrical Engineering, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2369,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.77470528,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"16","issue":"3","first_page":"3982","last_page":"3992"},"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/T11941","display_name":"Power System Reliability and Maintenance","score":0.9955999851226807,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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":0.9954000115394592,"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/dispatchable-generation","display_name":"Dispatchable generation","score":0.9722432494163513},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6770375370979309},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.5117635726928711},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4753275215625763},{"id":"https://openalex.org/keywords/flow","display_name":"Flow (mathematics)","score":0.4254212975502014},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.42507725954055786},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.3501867651939392},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.32594260573387146},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22305196523666382},{"id":"https://openalex.org/keywords/electricity-generation","display_name":"Electricity generation","score":0.17339655756950378},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07806149125099182}],"concepts":[{"id":"https://openalex.org/C85924503","wikidata":"https://www.wikidata.org/wiki/Q5282546","display_name":"Dispatchable generation","level":4,"score":0.9722432494163513},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6770375370979309},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.5117635726928711},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4753275215625763},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.4254212975502014},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.42507725954055786},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.3501867651939392},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32594260573387146},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22305196523666382},{"id":"https://openalex.org/C423512","wikidata":"https://www.wikidata.org/wiki/Q383973","display_name":"Electricity generation","level":3,"score":0.17339655756950378},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07806149125099182},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/jsyst.2021.3138908","is_oa":false,"landing_page_url":"https://doi.org/10.1109/jsyst.2021.3138908","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":[{"id":"https://metadata.un.org/sdg/7","score":0.6299999952316284,"display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G2449063095","display_name":null,"funder_award_id":"51807101","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7549810671","display_name":null,"funder_award_id":"U1766203","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":52,"referenced_works":["https://openalex.org/W158695287","https://openalex.org/W1602586422","https://openalex.org/W1963185969","https://openalex.org/W1965408066","https://openalex.org/W1977717893","https://openalex.org/W2003612044","https://openalex.org/W2038625007","https://openalex.org/W2057057063","https://openalex.org/W2058893579","https://openalex.org/W2063559372","https://openalex.org/W2074606535","https://openalex.org/W2075996856","https://openalex.org/W2084771065","https://openalex.org/W2093909370","https://openalex.org/W2100197017","https://openalex.org/W2107395148","https://openalex.org/W2170540951","https://openalex.org/W2170736358","https://openalex.org/W2213622842","https://openalex.org/W2221524898","https://openalex.org/W2321376369","https://openalex.org/W2327238720","https://openalex.org/W2328098182","https://openalex.org/W2328233269","https://openalex.org/W2337232764","https://openalex.org/W2341661733","https://openalex.org/W2345782064","https://openalex.org/W2413256709","https://openalex.org/W2500464928","https://openalex.org/W2519739684","https://openalex.org/W2546467361","https://openalex.org/W2565958257","https://openalex.org/W2581548326","https://openalex.org/W2597298744","https://openalex.org/W2609077256","https://openalex.org/W2792090142","https://openalex.org/W2792265233","https://openalex.org/W2792558539","https://openalex.org/W2792659334","https://openalex.org/W2891775698","https://openalex.org/W2952862277","https://openalex.org/W2969223496","https://openalex.org/W2979847038","https://openalex.org/W2981431294","https://openalex.org/W3006764051","https://openalex.org/W3102209235","https://openalex.org/W3106129853","https://openalex.org/W3115514916","https://openalex.org/W4206665567","https://openalex.org/W4210681472","https://openalex.org/W4241079583","https://openalex.org/W4292175028"],"related_works":["https://openalex.org/W2907064728","https://openalex.org/W2418139042","https://openalex.org/W4383346280","https://openalex.org/W3108551027","https://openalex.org/W2885239322","https://openalex.org/W4312068738","https://openalex.org/W2964101724","https://openalex.org/W3162542726","https://openalex.org/W2608353934","https://openalex.org/W2616277671"],"abstract_inverted_index":{"The":[0,141,192],"uncertainty":[1],"of":[2,9,33,37,115,120,137,164,198],"renewable":[3,39],"generation":[4],"makes":[5],"the":[6,19,29,44,57,92,106,116,121,138,148,154,162,165,182,187],"operating":[7],"status":[8],"distribution":[10,20,61,205],"systems":[11,206],"more":[12],"volatile,":[13],"as":[14],"fully":[15],"controllable":[16],"resource":[17],"at":[18],"level":[21],"is":[22,47,73,102,130,144,159,195],"rare.":[23],"A":[24,69,96],"dispatchable":[25,58,94,139,167,184],"region":[26,59,185],"refers":[27],"to":[28,75,90,104,132,147],"set":[30],"that":[31,161],"consists":[32],"all":[34],"admissible":[35],"patterns":[36],"nodal":[38,83],"power":[40,45,66,77,84,173],"injections":[41],"under":[42,63,80,186,207],"which":[43],"flow":[46,67,78,174],"solvable":[48],"without":[49],"violating":[50],"security":[51,202],"bound":[52],"constraints.":[53],"This":[54],"article":[55],"studies":[56,200],"in":[60],"networks":[62],"alternating":[64],"current":[65],"model.":[68,152,191],"rank":[70],"minimization":[71],"problem":[72],"proposed":[74,193],"test":[76,156],"solvability":[79],"a":[81,111,124,177],"fixed":[82],"injection":[85],"pattern,":[86],"providing":[87],"basic":[88],"operation":[89],"construct":[91],"exact":[93,188],"region.":[95,140],"sequential":[97],"low-order":[98],"semidefinite":[99],"programming":[100],"procedure":[101],"developed":[103,131],"solve":[105],"problem.":[107],"Furthermore,":[108],"based":[109],"on":[110,201],"global":[112],"outer":[113,135],"approximation":[114,136,180],"second-order":[117],"conic":[118],"relaxation":[119],"distflow":[122,151,190],"model,":[123],"linear":[125],"programming-based":[126],"polyhedral":[127],"projection":[128,142],"algorithm":[129,143],"calculate":[133],"an":[134,196],"also":[145],"applied":[146],"traditional":[149],"linearized":[150,172],"Combining":[153],"feasibility":[155],"procedure,":[157],"it":[158],"shown":[160],"intersection":[163],"respective":[166],"regions":[168],"obtained":[169],"from":[170],"two":[171],"models":[175],"produces":[176],"fairly":[178],"accurate":[179],"for":[181,204],"true":[183],"nonlinear":[189],"method":[194],"extension":[197],"existing":[199],"assessment":[203],"uncertainty.":[208]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}