{"id":"https://openalex.org/W2259547337","doi":"https://doi.org/10.1109/tsg.2016.2580584","title":"Dynamic State Estimation for Multi-Machine Power System by Unscented Kalman Filter With Enhanced Numerical Stability","display_name":"Dynamic State Estimation for Multi-Machine Power System by Unscented Kalman Filter With Enhanced Numerical Stability","publication_year":2016,"publication_date":"2016-06-29","ids":{"openalex":"https://openalex.org/W2259547337","doi":"https://doi.org/10.1109/tsg.2016.2580584","mag":"2259547337"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2016.2580584","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2016.2580584","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1509.07394","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Junjian Qi","orcid":"https://orcid.org/0000-0002-4043-9427"},"institutions":[{"id":"https://openalex.org/I1282105669","display_name":"Argonne National Laboratory","ror":"https://ror.org/05gvnxz63","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282105669","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Junjian Qi","raw_affiliation_strings":["Energy Systems Division, Argonne National Laboratory, Argonne, USA"],"raw_orcid":"https://orcid.org/0000-0002-4043-9427","affiliations":[{"raw_affiliation_string":"Energy Systems Division, Argonne National Laboratory, Argonne, USA","institution_ids":["https://openalex.org/I1282105669"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Kai Sun","orcid":"https://orcid.org/0000-0002-0305-2725"},"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":"Kai Sun","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, University of Tennessee, Knoxville, USA"],"raw_orcid":"https://orcid.org/0000-0002-0305-2725","affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, University of Tennessee, Knoxville, USA","institution_ids":["https://openalex.org/I75027704"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Jianhui Wang","orcid":"https://orcid.org/0000-0002-9716-3484"},"institutions":[{"id":"https://openalex.org/I1282105669","display_name":"Argonne National Laboratory","ror":"https://ror.org/05gvnxz63","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282105669","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jianhui Wang","raw_affiliation_strings":["Energy Systems Division, Argonne National Laboratory, Argonne, USA"],"raw_orcid":"https://orcid.org/0000-0002-9716-3484","affiliations":[{"raw_affiliation_string":"Energy Systems Division, Argonne National Laboratory, Argonne, USA","institution_ids":["https://openalex.org/I1282105669"]}]},{"author_position":"last","author":{"id":null,"display_name":"Hui Liu","orcid":null},"institutions":[{"id":"https://openalex.org/I1282105669","display_name":"Argonne National Laboratory","ror":"https://ror.org/05gvnxz63","country_code":"US","type":"facility","lineage":["https://openalex.org/I1282105669","https://openalex.org/I1330989302","https://openalex.org/I39565521","https://openalex.org/I40347166"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hui Liu","raw_affiliation_strings":["Energy Systems Division, Argonne National Laboratory, Argonne, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Energy Systems Division, Argonne National Laboratory, Argonne, USA","institution_ids":["https://openalex.org/I1282105669"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I1282105669"],"apc_list":null,"apc_paid":null,"fwci":7.0673,"has_fulltext":false,"cited_by_count":172,"citation_normalized_percentile":{"value":0.97307515,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"9","issue":"2","first_page":"1184","last_page":"1196"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10305","display_name":"Power System Optimization and Stability","score":0.8877000212669373,"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":0.8877000212669373,"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/T10972","display_name":"Power Systems Fault Detection","score":0.01899999938905239,"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/T10046","display_name":"Stability and Control of Uncertain Systems","score":0.016599999740719795,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/kalman-filter","display_name":"Kalman filter","score":0.7989000082015991},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7605999708175659},{"id":"https://openalex.org/keywords/unscented-transform","display_name":"Unscented transform","score":0.704800009727478},{"id":"https://openalex.org/keywords/extended-kalman-filter","display_name":"Extended Kalman filter","score":0.6743999719619751},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5429999828338623},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.527999997138977},{"id":"https://openalex.org/keywords/covariance","display_name":"Covariance","score":0.510699987411499},{"id":"https://openalex.org/keywords/fast-kalman-filter","display_name":"Fast Kalman filter","score":0.44279998540878296}],"concepts":[{"id":"https://openalex.org/C157286648","wikidata":"https://www.wikidata.org/wiki/Q846780","display_name":"Kalman filter","level":2,"score":0.7989000082015991},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7605999708175659},{"id":"https://openalex.org/C139399703","wikidata":"https://www.wikidata.org/wiki/Q7897426","display_name":"Unscented transform","level":5,"score":0.704800009727478},{"id":"https://openalex.org/C206833254","wikidata":"https://www.wikidata.org/wiki/Q5421817","display_name":"Extended Kalman filter","level":3,"score":0.6743999719619751},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5583999752998352},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5429999828338623},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.527999997138977},{"id":"https://openalex.org/C178650346","wikidata":"https://www.wikidata.org/wiki/Q201984","display_name":"Covariance","level":2,"score":0.510699987411499},{"id":"https://openalex.org/C150679823","wikidata":"https://www.wikidata.org/wiki/Q5436946","display_name":"Fast Kalman filter","level":4,"score":0.44279998540878296},{"id":"https://openalex.org/C8639503","wikidata":"https://www.wikidata.org/wiki/Q6059511","display_name":"Invariant extended Kalman filter","level":4,"score":0.37940001487731934},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.37630000710487366},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.37619999051094055},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.37470000982284546},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.329800009727478},{"id":"https://openalex.org/C167928553","wikidata":"https://www.wikidata.org/wiki/Q1376021","display_name":"Estimation theory","level":2,"score":0.3172999918460846},{"id":"https://openalex.org/C83042196","wikidata":"https://www.wikidata.org/wiki/Q5178898","display_name":"Covariance intersection","level":4,"score":0.3142000138759613},{"id":"https://openalex.org/C96250715","wikidata":"https://www.wikidata.org/wiki/Q965330","display_name":"Estimation","level":2,"score":0.30570000410079956},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.30489999055862427},{"id":"https://openalex.org/C185142706","wikidata":"https://www.wikidata.org/wiki/Q1134404","display_name":"Covariance matrix","level":2,"score":0.29109999537467957},{"id":"https://openalex.org/C133731056","wikidata":"https://www.wikidata.org/wiki/Q4917288","display_name":"Control engineering","level":1,"score":0.28679999709129333},{"id":"https://openalex.org/C129537906","wikidata":"https://www.wikidata.org/wiki/Q7603913","display_name":"State variable","level":2,"score":0.2727999985218048},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2653999924659729},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.2621999979019165}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tsg.2016.2580584","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2016.2580584","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"},{"id":"pmh:oai:arXiv.org:1509.07394","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1509.07394","pdf_url":"https://arxiv.org/pdf/1509.07394","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1509.07394","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1509.07394","pdf_url":"https://arxiv.org/pdf/1509.07394","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306084","display_name":"U.S. Department of Energy","ror":"https://ror.org/01bj3aw27"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1520710862","https://openalex.org/W1536329667","https://openalex.org/W1598852905","https://openalex.org/W1982706076","https://openalex.org/W2000340713","https://openalex.org/W2016425264","https://openalex.org/W2045481163","https://openalex.org/W2050958540","https://openalex.org/W2052610157","https://openalex.org/W2054091988","https://openalex.org/W2054256383","https://openalex.org/W2061079827","https://openalex.org/W2063086479","https://openalex.org/W2066175279","https://openalex.org/W2073213547","https://openalex.org/W2091201647","https://openalex.org/W2091560152","https://openalex.org/W2096124210","https://openalex.org/W2105934661","https://openalex.org/W2107390735","https://openalex.org/W2121990344","https://openalex.org/W2123487311","https://openalex.org/W2126423185","https://openalex.org/W2140900554","https://openalex.org/W2145862876","https://openalex.org/W2159236617","https://openalex.org/W2274015128","https://openalex.org/W2383371782","https://openalex.org/W2964170905","https://openalex.org/W4237171445","https://openalex.org/W4320800818","https://openalex.org/W6636906921","https://openalex.org/W6637447955","https://openalex.org/W6643880462","https://openalex.org/W6655473528","https://openalex.org/W6697762752"],"related_works":[],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"in":[3,143,150],"order":[4],"to":[5,166],"enhance":[6],"the":[7,11,66,73,110,167],"numerical":[8,169],"stability":[9],"of":[10],"unscented":[12],"Kalman":[13,75],"filter":[14,76],"(UKF)":[15],"used":[16],"for":[17,104],"power":[18],"system":[19,89],"dynamic":[20,82],"state":[21,83],"estimation,":[22],"a":[23],"new":[24],"UKF":[25,68,112],"with":[26,38],"guaranteed":[27],"positive":[28],"semidifinite":[29],"estimation":[30,84],"error":[31],"covariance":[32],"(UKF-GPS)":[33],"is":[34,115],"proposed":[35],"and":[36,65,72,90,109,129,154],"compared":[37],"five":[39],"existing":[40],"approaches,":[41],"including":[42],"UKF-schol,":[43,118],"UKF-":[44,55,119,130],"<inline-formula":[45,56,120,131],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[46,57,121,132],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[47,58,122,133],"<tex-math":[48,59,123,134],"notation=\"LaTeX\">$\\boldsymbol":[49,60,124,135],"{\\kappa":[50,125],"}$":[51,126],"</tex-math></inline-formula>":[52,63,127,138],",":[53,64,128],"UKF-modified,":[54],"{\\Delta":[61,136],"Q}$":[62,137],"square-root":[67],"(SR-UKF).":[69],"These":[70],"methods":[71,99],"extended":[74],"(EKF)":[77],"are":[78],"tested":[79],"by":[80],"performing":[81],"on":[85],"WSCC":[86,96],"3-machine":[87],"9-bus":[88],"NPCC":[91,105],"48-machine":[92],"140-bus":[93],"system.":[94],"For":[95],"system,":[97,106],"all":[98],"obtain":[100],"good":[101],"estimates.":[102],"However,":[103],"both":[107],"EKF":[108],"classic":[111],"fail.":[113],"It":[114],"found":[116],"that":[117],"do":[139],"not":[140],"work":[141,158],"well":[142,149],"some":[144],"estimations":[145],"while":[146],"UKF-GPS":[147],"works":[148],"most":[151],"cases.":[152],"UKF-modified":[153],"SR-UKF":[155],"can":[156],"always":[157],"well,":[159],"indicating":[160],"their":[161],"better":[162],"scalability":[163],"mainly":[164],"due":[165],"enhanced":[168],"stability.":[170]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":13},{"year":2024,"cited_by_count":31},{"year":2023,"cited_by_count":22},{"year":2022,"cited_by_count":22},{"year":2021,"cited_by_count":18},{"year":2020,"cited_by_count":26},{"year":2019,"cited_by_count":26},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1}],"updated_date":"2026-05-03T08:25:01.440150","created_date":"2016-06-24T00:00:00"}
