{"id":"https://openalex.org/W2344311391","doi":"https://doi.org/10.1109/tsg.2015.2505325","title":"Observation of Security Region Boundary for Smart Distribution Grid","display_name":"Observation of Security Region Boundary for Smart Distribution Grid","publication_year":2015,"publication_date":"2015-12-11","ids":{"openalex":"https://openalex.org/W2344311391","doi":"https://doi.org/10.1109/tsg.2015.2505325","mag":"2344311391"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2015.2505325","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2015.2505325","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/A5101691155","display_name":"Jun Xiao","orcid":"https://orcid.org/0000-0002-1762-8203"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jun Xiao","raw_affiliation_strings":["Key Laboratory of Smart Grid of Ministry of Education, Tianjin University, Tianjin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Smart Grid of Ministry of Education, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015972267","display_name":"Guoqiang Zu","orcid":"https://orcid.org/0000-0003-4230-4419"},"institutions":[{"id":"https://openalex.org/I162868743","display_name":"Tianjin University","ror":"https://ror.org/012tb2g32","country_code":"CN","type":"education","lineage":["https://openalex.org/I162868743"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guoqiang Zu","raw_affiliation_strings":["Key Laboratory of Smart Grid of Ministry of Education, Tianjin University, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0003-4230-4419","affiliations":[{"raw_affiliation_string":"Key Laboratory of Smart Grid of Ministry of Education, Tianjin University, Tianjin, China","institution_ids":["https://openalex.org/I162868743"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024610618","display_name":"Xiaoxu Gong","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xiaoxu Gong","raw_affiliation_strings":["State Grid Power Economic Research Institute, Nanjing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Grid Power Economic Research Institute, Nanjing, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076167872","display_name":"Fangxing Li","orcid":"https://orcid.org/0000-0003-1060-7618"},"institutions":[{"id":"https://openalex.org/I75027704","display_name":"University of Tennessee at Knoxville","ror":"https://ror.org/020f3ap87","country_code":"US","type":"education","lineage":["https://openalex.org/I75027704"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fangxing Li","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Tennessee, Knoxville, TN, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Tennessee, Knoxville, TN, USA","institution_ids":["https://openalex.org/I75027704"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4058,"has_fulltext":false,"cited_by_count":88,"citation_normalized_percentile":{"value":0.84473008,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"8","issue":"4","first_page":"1731","last_page":"1738"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10454","display_name":"Optimal Power Flow Distribution","score":0.9994999766349792,"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":0.9994999766349792,"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/T10917","display_name":"Smart Grid Security and Resilience","score":0.9991000294685364,"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"}},{"id":"https://openalex.org/T11941","display_name":"Power System Reliability and Maintenance","score":0.998199999332428,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.7638280391693115},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5620492696762085},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5382053852081299},{"id":"https://openalex.org/keywords/busbar","display_name":"Busbar","score":0.49999475479125977},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4869595468044281},{"id":"https://openalex.org/keywords/boundary-value-problem","display_name":"Boundary value problem","score":0.41780608892440796},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4162765443325043},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4068097472190857},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38885393738746643},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.254335880279541},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2542557418346405},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.09472069144248962},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0915488600730896}],"concepts":[{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.7638280391693115},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5620492696762085},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5382053852081299},{"id":"https://openalex.org/C192690417","wikidata":"https://www.wikidata.org/wiki/Q1030817","display_name":"Busbar","level":2,"score":0.49999475479125977},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4869595468044281},{"id":"https://openalex.org/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.41780608892440796},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4162765443325043},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4068097472190857},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38885393738746643},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.254335880279541},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2542557418346405},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.09472069144248962},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0915488600730896},{"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/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsg.2015.2505325","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2015.2505325","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/G3876566573","display_name":null,"funder_award_id":"2016YFB0900103","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7554781065","display_name":null,"funder_award_id":"NCET-10-0624","funder_id":"https://openalex.org/F4320334924","funder_display_name":"Program for New Century Excellent Talents in University"},{"id":"https://openalex.org/G7725357788","display_name":null,"funder_award_id":"51477112","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"},{"id":"https://openalex.org/F4320334924","display_name":"Program for New Century Excellent Talents in University","ror":"https://ror.org/01mv9t934"},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1604973446","https://openalex.org/W1932011969","https://openalex.org/W1965247304","https://openalex.org/W1990813169","https://openalex.org/W1994770877","https://openalex.org/W2003622332","https://openalex.org/W2008317730","https://openalex.org/W2037942408","https://openalex.org/W2045174928","https://openalex.org/W2048234744","https://openalex.org/W2091220382","https://openalex.org/W2091884818","https://openalex.org/W2117122372","https://openalex.org/W2121501863","https://openalex.org/W2129289793","https://openalex.org/W2142238016","https://openalex.org/W2169714359","https://openalex.org/W2179787887","https://openalex.org/W4245861268","https://openalex.org/W6640201480","https://openalex.org/W6648753310"],"related_works":["https://openalex.org/W2543161328","https://openalex.org/W2152695672","https://openalex.org/W2374839807","https://openalex.org/W2370468061","https://openalex.org/W2326986617","https://openalex.org/W2143690715","https://openalex.org/W3134754458","https://openalex.org/W3106323631","https://openalex.org/W3151822016","https://openalex.org/W2133690079"],"abstract_inverted_index":{"This":[0,122],"paper":[1,123],"observes":[2],"the":[3,19,27,43,80,84,90,110,125,137],"boundary":[4,56,86,103,118],"of":[5,17,30,46,57,83,101,127,139],"distribution":[6,36,60],"system":[7,37,95],"security":[8,24,32,49],"region":[9],"(DSSR).":[10],"DSSR":[11,55,77,85,102,111,128,140],"is":[12,50,71,112,119,141],"defined":[13],"as":[14],"a":[15,58,113,131],"set":[16,115],"all":[18],"operating":[20,47],"points":[21,48],"satisfying":[22],"N-1":[23,31,69],"constraints.":[25],"First,":[26],"basic":[28],"concepts":[29],"are":[33,87,104],"introduced":[34],"for":[35,89],"under":[38],"smart":[39],"grid":[40],"background.":[41],"Then,":[42,79],"dividing":[44],"phenomenon":[45],"reported,":[51],"which":[52,107],"indicates":[53,124],"that":[54,109],"given":[59],"network":[61],"exists.":[62],"Moreover,":[63],"an":[64],"approximation":[65],"method":[66,132],"based":[67],"on":[68],"simulation":[70],"proposed":[72],"in":[73],"order":[74],"to":[75,133],"find":[76],"boundary.":[78],"observation":[81],"results":[82],"presented":[88],"expanded":[91],"reliability":[92],"Busbar":[93],"test":[94],"BUS4":[96],"case.":[97],"The":[98],"topological":[99],"characteristics":[100],"further":[105],"summarized,":[106],"show":[108],"dense":[114],"and":[116,129],"its":[117,144],"approximately":[120],"linear.":[121],"existence":[126],"gives":[130],"observe":[134],"it.":[135],"Finally,":[136],"benefit":[138],"illustrated":[142],"by":[143],"typical":[145],"applications.":[146]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":13},{"year":2021,"cited_by_count":13},{"year":2020,"cited_by_count":12},{"year":2019,"cited_by_count":10},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
