{"id":"https://openalex.org/W2993690576","doi":"https://doi.org/10.1109/allerton.2019.8919649","title":"Influence of Load Models on Equilibria, Stability and Algebraic Manifolds of Power System Differential-Algebraic System","display_name":"Influence of Load Models on Equilibria, Stability and Algebraic Manifolds of Power System Differential-Algebraic System","publication_year":2019,"publication_date":"2019-09-01","ids":{"openalex":"https://openalex.org/W2993690576","doi":"https://doi.org/10.1109/allerton.2019.8919649","mag":"2993690576"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2019.8919649","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2019.8919649","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 57th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-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/A5101847563","display_name":"Dan Wu","orcid":"https://orcid.org/0000-0001-7315-640X"},"institutions":[{"id":"https://openalex.org/I4210143601","display_name":"Decision Systems (United States)","ror":"https://ror.org/0434dpa13","country_code":"US","type":"company","lineage":["https://openalex.org/I4210143601"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dan wu","raw_affiliation_strings":["Massachusetts Institute of Technology,Laboratory for Information and Decision Systems,Cambridge,MA,02139","Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, MA"],"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology,Laboratory for Information and Decision Systems,Cambridge,MA,02139","institution_ids":["https://openalex.org/I4210143601","https://openalex.org/I63966007"]},{"raw_affiliation_string":"Laboratory for Information and Decision Systems, Massachusetts Institute of Technology, Cambridge, MA","institution_ids":["https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100372360","display_name":"Bin Wang","orcid":"https://orcid.org/0000-0002-4517-4210"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bin Wang","raw_affiliation_strings":["Texas AM University, College Station,Department of Electrical and Computer Engineering,TX,77843","Department of Electrical and Computer Engineering, Texas AM University, College Station, TX"],"affiliations":[{"raw_affiliation_string":"Texas AM University, College Station,Department of Electrical and Computer Engineering,TX,77843","institution_ids":["https://openalex.org/I91045830"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Texas AM University, College Station, TX","institution_ids":["https://openalex.org/I91045830"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101847563"],"corresponding_institution_ids":["https://openalex.org/I4210143601","https://openalex.org/I63966007"],"apc_list":null,"apc_paid":null,"fwci":0.121,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.49406731,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"10","issue":null,"first_page":"787","last_page":"795"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10305","display_name":"Power System Optimization and Stability","score":0.9994000196456909,"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/T10305","display_name":"Power System Optimization and Stability","score":0.9994000196456909,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9980999827384949,"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/T10454","display_name":"Optimal Power Flow Distribution","score":0.9837999939918518,"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/algebraic-number","display_name":"Algebraic number","score":0.6293702721595764},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.5499613881111145},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5279445052146912},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.5176451802253723},{"id":"https://openalex.org/keywords/differential","display_name":"Differential (mechanical device)","score":0.4854357838630676},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47422313690185547},{"id":"https://openalex.org/keywords/boundary","display_name":"Boundary (topology)","score":0.47202128171920776},{"id":"https://openalex.org/keywords/electrical-impedance","display_name":"Electrical impedance","score":0.4631955027580261},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.458059161901474},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.44417107105255127},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.4298423230648041},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4131423234939575},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3728148937225342},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3414004445075989},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2622925043106079},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.15101397037506104}],"concepts":[{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6293702721595764},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.5499613881111145},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5279445052146912},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.5176451802253723},{"id":"https://openalex.org/C93226319","wikidata":"https://www.wikidata.org/wiki/Q193137","display_name":"Differential (mechanical device)","level":2,"score":0.4854357838630676},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47422313690185547},{"id":"https://openalex.org/C62354387","wikidata":"https://www.wikidata.org/wiki/Q875399","display_name":"Boundary (topology)","level":2,"score":0.47202128171920776},{"id":"https://openalex.org/C17829176","wikidata":"https://www.wikidata.org/wiki/Q179043","display_name":"Electrical impedance","level":2,"score":0.4631955027580261},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.458059161901474},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.44417107105255127},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.4298423230648041},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4131423234939575},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3728148937225342},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3414004445075989},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2622925043106079},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.15101397037506104},{"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/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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/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},{"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/allerton.2019.8919649","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2019.8919649","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 57th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W194572983","https://openalex.org/W619874962","https://openalex.org/W632782024","https://openalex.org/W1239307732","https://openalex.org/W1599680004","https://openalex.org/W1768114924","https://openalex.org/W1875051367","https://openalex.org/W1997635994","https://openalex.org/W1999139063","https://openalex.org/W2000221217","https://openalex.org/W2028971220","https://openalex.org/W2076875872","https://openalex.org/W2083646602","https://openalex.org/W2101280366","https://openalex.org/W2101902173","https://openalex.org/W2123720007","https://openalex.org/W2135514263","https://openalex.org/W2208399350","https://openalex.org/W2337490698","https://openalex.org/W2499765041","https://openalex.org/W2542625428","https://openalex.org/W2610794370","https://openalex.org/W2735064727","https://openalex.org/W2742990521","https://openalex.org/W2752564939","https://openalex.org/W2963660828","https://openalex.org/W3202538834","https://openalex.org/W4247689375","https://openalex.org/W4248180789","https://openalex.org/W6682267069","https://openalex.org/W6729337530","https://openalex.org/W6742367550"],"related_works":["https://openalex.org/W2358137648","https://openalex.org/W3128819368","https://openalex.org/W2259231220","https://openalex.org/W2386042020","https://openalex.org/W2171916062","https://openalex.org/W1514891764","https://openalex.org/W4247603094","https://openalex.org/W2120796965","https://openalex.org/W3023796992","https://openalex.org/W2047656848"],"abstract_inverted_index":{"Load":[0],"models":[1,27,52],"have":[2],"a":[3,38,75,105,112,190],"great":[4],"impact":[5],"on":[6,21,177,196],"voltage":[7],"behaviors":[8,32,195],"as":[9,11],"well":[10],"power":[12,56,117],"system":[13,57],"transient":[14],"dynamics.":[15],"Extensive":[16],"work":[17],"has":[18],"been":[19],"done":[20],"this":[22],"topic,":[23],"proposing":[24],"appropriate":[25],"load":[26,31,51,79,102,125],"and":[28,45,71,94,111,133,142,150,162],"capturing":[29],"better":[30],"during":[33,74],"transient.":[34],"This":[35],"paper":[36],"presents":[37],"comprehensive":[39],"study":[40],"to":[41,63,175],"investigate":[42],"the":[43,54,65,86,101,124,128,145,156,166,172,185,197],"geometric":[44,148],"topological":[46,153],"changes":[47,146,173],"induced":[48],"by":[49,144],"different":[50],"for":[53,165],"traditional":[55,92],"differential-algebraic":[58],"equations.":[59],"Specifically,":[60],"we":[61],"attempt":[62],"reveal":[64],"deformation":[66],"of":[67,78,89,108,115,131,137,147,152,158,171,180,193],"equilibria,":[68,159],"stability":[69,160],"regions,":[70,161],"algebraic":[72,163,181],"manifolds":[73,164,182],"continuous":[76],"evolution":[77],"model.":[80],"Several":[81],"findings":[82],"are":[83],"presented":[84],"in":[85,155],"paper,":[87],"some":[88],"which":[90],"countering":[91],"recognitions":[93],"intuitions.":[95],"A":[96],"major":[97],"discovery":[98],"is":[99,139],"that":[100],"model":[103,126],"with":[104,127],"large":[106],"proportion":[107,114],"constant":[109,116],"impedance":[110,132],"small":[113],"exhibits":[118],"much":[119],"more":[120],"complex":[121],"features":[122],"than":[123],"reversed":[129],"proportions":[130],"power.":[134],"The":[135],"increase":[136],"complexity":[138],"thoroughly":[140],"recorded":[141],"investigated":[143],"properties":[149],"mutations":[151],"invariants":[154],"sense":[157],"DAE":[167],"system.":[168],"However,":[169],"most":[170],"seem":[174],"occur":[176],"unstable":[178],"components":[179],"or":[183],"near":[184],"singular":[186],"boundary":[187],"surfaces,":[188],"suggesting":[189],"limited":[191],"variation":[192],"dynamical":[194],"stable":[198],"component.":[199]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-02T13:48:15.688549","created_date":"2025-10-10T00:00:00"}