{"id":"https://openalex.org/W3163821774","doi":"https://doi.org/10.1109/tsg.2021.3081573","title":"Region of Attraction Estimation for DC Microgrids With Constant Power Loads Using Potential Theory","display_name":"Region of Attraction Estimation for DC Microgrids With Constant Power Loads Using Potential Theory","publication_year":2021,"publication_date":"2021-05-18","ids":{"openalex":"https://openalex.org/W3163821774","doi":"https://doi.org/10.1109/tsg.2021.3081573","mag":"3163821774"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2021.3081573","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2021.3081573","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/A5025905504","display_name":"Fangyuan Chang","orcid":"https://orcid.org/0000-0002-6439-7022"},"institutions":[{"id":"https://openalex.org/I4210130704","display_name":"University of Michigan\u2013Dearborn","ror":"https://ror.org/035wtm547","country_code":"US","type":"education","lineage":["https://openalex.org/I4210130704"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Fangyuan Chang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Michiagn\u2013Dearborn, Dearborn, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Michiagn\u2013Dearborn, Dearborn, USA","institution_ids":["https://openalex.org/I4210130704"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028767853","display_name":"Xiaofan Cui","orcid":"https://orcid.org/0000-0002-8575-8990"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan\u2013Ann Arbor","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiaofan Cui","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Michigan at Ann Arbor, Ann Arbor, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Michigan at Ann Arbor, Ann Arbor, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100603093","display_name":"Mengqi Wang","orcid":"https://orcid.org/0000-0003-1979-2565"},"institutions":[{"id":"https://openalex.org/I4210130704","display_name":"University of Michigan\u2013Dearborn","ror":"https://ror.org/035wtm547","country_code":"US","type":"education","lineage":["https://openalex.org/I4210130704"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mengqi Wang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Michiagn\u2013Dearborn, Dearborn, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Michiagn\u2013Dearborn, Dearborn, USA","institution_ids":["https://openalex.org/I4210130704"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009664810","display_name":"Wencong Su","orcid":"https://orcid.org/0000-0003-1482-3078"},"institutions":[{"id":"https://openalex.org/I4210130704","display_name":"University of Michigan\u2013Dearborn","ror":"https://ror.org/035wtm547","country_code":"US","type":"education","lineage":["https://openalex.org/I4210130704"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wencong Su","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Michiagn\u2013Dearborn, Dearborn, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Michiagn\u2013Dearborn, Dearborn, USA","institution_ids":["https://openalex.org/I4210130704"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5025905504"],"corresponding_institution_ids":["https://openalex.org/I4210130704"],"apc_list":null,"apc_paid":null,"fwci":3.2962,"has_fulltext":false,"cited_by_count":33,"citation_normalized_percentile":{"value":0.92226241,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":100},"biblio":{"volume":"12","issue":"5","first_page":"3793","last_page":"3808"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":0.9998000264167786,"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/T10305","display_name":"Power System Optimization and Stability","score":0.9988999962806702,"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/T12277","display_name":"Frequency Control in Power Systems","score":0.9980000257492065,"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/curse-of-dimensionality","display_name":"Curse of dimensionality","score":0.6052309274673462},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5994464159011841},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.583443284034729},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.578528881072998},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5057992935180664},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4786195158958435},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.46678459644317627},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.4569447934627533},{"id":"https://openalex.org/keywords/converters","display_name":"Converters","score":0.4390494227409363},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.36972570419311523},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3167514204978943},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13285014033317566},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.11319863796234131}],"concepts":[{"id":"https://openalex.org/C111030470","wikidata":"https://www.wikidata.org/wiki/Q1430460","display_name":"Curse of dimensionality","level":2,"score":0.6052309274673462},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5994464159011841},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.583443284034729},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.578528881072998},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5057992935180664},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4786195158958435},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.46678459644317627},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.4569447934627533},{"id":"https://openalex.org/C2778422915","wikidata":"https://www.wikidata.org/wiki/Q10302051","display_name":"Converters","level":3,"score":0.4390494227409363},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.36972570419311523},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3167514204978943},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13285014033317566},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.11319863796234131},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsg.2021.3081573","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2021.3081573","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":[{"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7","score":0.8100000023841858}],"awards":[{"id":"https://openalex.org/G6790511156","display_name":null,"funder_award_id":"2034938","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1509227760","https://openalex.org/W1528301553","https://openalex.org/W1975722775","https://openalex.org/W2020740790","https://openalex.org/W2116846721","https://openalex.org/W2127470648","https://openalex.org/W2145501206","https://openalex.org/W2149845256","https://openalex.org/W2485560312","https://openalex.org/W2535643978","https://openalex.org/W2562183967","https://openalex.org/W2768376160","https://openalex.org/W2783825362","https://openalex.org/W2802765823","https://openalex.org/W2890032826","https://openalex.org/W2896001538","https://openalex.org/W2902749817","https://openalex.org/W2963553109","https://openalex.org/W3032023809"],"related_works":["https://openalex.org/W631083485","https://openalex.org/W4313452936","https://openalex.org/W2097026685","https://openalex.org/W2480068220","https://openalex.org/W2070883797","https://openalex.org/W4386859288","https://openalex.org/W2102542442","https://openalex.org/W1986220761","https://openalex.org/W4296209631","https://openalex.org/W2070261081"],"abstract_inverted_index":{"The":[0,140],"stability":[1,24],"issues":[2],"of":[3,16,56,68,71,97,115,133],"DC":[4,42,98],"power":[5,17,43,58,99],"grids":[6],"are":[7],"attracting":[8],"researchers'":[9],"attention,":[10],"especially":[11],"with":[12,74],"the":[13,46,53,69,78,94,105,109,131,145],"increasing":[14],"adoption":[15],"electronic":[18],"devices":[19],"and":[20,30,34,85,118,129],"nonlinear":[21],"loads.":[22],"Large-signal":[23],"analysis":[25],"is":[26,48],"required":[27],"to":[28,52,125,156],"detect":[29],"avoid":[31],"large":[32],"disturbance":[33],"destabilization,":[35],"which":[36],"can":[37,148],"cause":[38],"detrimental":[39],"effects":[40],"on":[41],"grids.":[44,59,100],"However,":[45],"issue":[47],"still":[49],"unsolved":[50],"due":[51],"complicated":[54],"dynamics":[55],"large-scale":[57],"This":[60,83],"paper":[61,103],"develops":[62],"a":[63,150],"novel":[64],"method":[65,89],"for":[66],"estimation":[67,88],"region":[70],"attraction":[72],"(ROA)":[73],"less":[75,152],"conservativeness":[76],"using":[77],"Brayton-Moser":[79],"mixed":[80],"potential":[81],"theory.":[82],"reliable":[84],"robust":[86],"ROA":[87,154],"provides":[90],"useful":[91],"insights":[92],"into":[93],"stable":[95],"operation":[96],"Moreover,":[101],"this":[102],"reveals":[104],"weak":[106],"correlation":[107],"between":[108],"state":[110,138],"variables":[111],"<sup":[112],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[113],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</sup>":[114],"branch":[116],"currents":[117],"system":[119],"stability.":[120],"It":[121],"makes":[122],"it":[123],"possible":[124],"reduce":[126],"computational":[127],"cost":[128],"lessen":[130],"curse":[132],"dimensionality":[134],"by":[135],"separating":[136],"these":[137],"variables.":[139],"case":[141],"study":[142],"shows":[143],"that":[144],"proposed":[146],"approach":[147],"obtain":[149],"much":[151],"conservative":[153],"compared":[155],"traditional":[157],"methods":[158],"such":[159],"as":[160],"Lyapunov's":[161],"method.":[162]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2}],"updated_date":"2026-02-27T16:54:17.756197","created_date":"2025-10-10T00:00:00"}
