{"id":"https://openalex.org/W4387670994","doi":"https://doi.org/10.1007/s40747-023-01252-8","title":"A novel multi-task learning method for evaluating short-term voltage stability with incomplete PMU measurements","display_name":"A novel multi-task learning method for evaluating short-term voltage stability with incomplete PMU measurements","publication_year":2023,"publication_date":"2023-10-16","ids":{"openalex":"https://openalex.org/W4387670994","doi":"https://doi.org/10.1007/s40747-023-01252-8"},"language":"en","primary_location":{"id":"doi:10.1007/s40747-023-01252-8","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s40747-023-01252-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-023-01252-8.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://link.springer.com/content/pdf/10.1007/s40747-023-01252-8.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111027553","display_name":"Tonglin Luo","orcid":null},"institutions":[{"id":"https://openalex.org/I158934434","display_name":"Zhongnan University of Economics and Law","ror":"https://ror.org/04yqxxq63","country_code":"CN","type":"education","lineage":["https://openalex.org/I158934434"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Tonglin Luo","raw_affiliation_strings":["Zhongnan University of Economics and Law, Wuhan, 430073, People\u2019s Republic of China","Zhongnan University of Economics and Law, Wuhan, 430073, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Zhongnan University of Economics and Law, Wuhan, 430073, People\u2019s Republic of China","institution_ids":["https://openalex.org/I158934434"]},{"raw_affiliation_string":"Zhongnan University of Economics and Law, Wuhan, 430073, People's Republic of China","institution_ids":["https://openalex.org/I158934434"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111057213","display_name":"Xuchu Jiang","orcid":null},"institutions":[{"id":"https://openalex.org/I158934434","display_name":"Zhongnan University of Economics and Law","ror":"https://ror.org/04yqxxq63","country_code":"CN","type":"education","lineage":["https://openalex.org/I158934434"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xuchu Jiang","raw_affiliation_strings":["Zhongnan University of Economics and Law, Wuhan, 430073, People\u2019s Republic of China","Zhongnan University of Economics and Law, Wuhan, 430073, People's Republic of China"],"raw_orcid":"https://orcid.org/0000-0002-7695-2011","affiliations":[{"raw_affiliation_string":"Zhongnan University of Economics and Law, Wuhan, 430073, People\u2019s Republic of China","institution_ids":["https://openalex.org/I158934434"]},{"raw_affiliation_string":"Zhongnan University of Economics and Law, Wuhan, 430073, People's Republic of China","institution_ids":["https://openalex.org/I158934434"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111027553"],"corresponding_institution_ids":["https://openalex.org/I158934434"],"apc_list":{"value":1320,"currency":"GBP","value_usd":1619},"apc_paid":{"value":1320,"currency":"GBP","value_usd":1619},"fwci":0.1278,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.45135747,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"10","issue":"2","first_page":"1971","last_page":"1983"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10305","display_name":"Power System Optimization and Stability","score":0.9998999834060669,"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/T10305","display_name":"Power System Optimization and Stability","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/T10454","display_name":"Optimal Power Flow Distribution","score":0.9962999820709229,"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":0.9945999979972839,"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/robustness","display_name":"Robustness (evolution)","score":0.6696895360946655},{"id":"https://openalex.org/keywords/missing-data","display_name":"Missing data","score":0.6524847149848938},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6100127100944519},{"id":"https://openalex.org/keywords/units-of-measurement","display_name":"Units of measurement","score":0.513105034828186},{"id":"https://openalex.org/keywords/transformer","display_name":"Transformer","score":0.5039023756980896},{"id":"https://openalex.org/keywords/term","display_name":"Term (time)","score":0.4974193871021271},{"id":"https://openalex.org/keywords/artificial-neural-network","display_name":"Artificial neural network","score":0.4862014651298523},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4766745865345001},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4763474762439728},{"id":"https://openalex.org/keywords/encoder","display_name":"Encoder","score":0.4546301066875458},{"id":"https://openalex.org/keywords/computational-intelligence","display_name":"Computational intelligence","score":0.448409765958786},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.44831281900405884},{"id":"https://openalex.org/keywords/phasor-measurement-unit","display_name":"Phasor measurement unit","score":0.4390672743320465},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.43029090762138367},{"id":"https://openalex.org/keywords/phasor","display_name":"Phasor","score":0.4282555878162384},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.3455272316932678},{"id":"https://openalex.org/keywords/pattern-recognition","display_name":"Pattern recognition (psychology)","score":0.33971017599105835},{"id":"https://openalex.org/keywords/electric-power-system","display_name":"Electric power system","score":0.30035823583602905},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.22768107056617737},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.0777239203453064}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.6696895360946655},{"id":"https://openalex.org/C9357733","wikidata":"https://www.wikidata.org/wiki/Q6878417","display_name":"Missing data","level":2,"score":0.6524847149848938},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6100127100944519},{"id":"https://openalex.org/C151233233","wikidata":"https://www.wikidata.org/wiki/Q47574","display_name":"Units of measurement","level":2,"score":0.513105034828186},{"id":"https://openalex.org/C66322947","wikidata":"https://www.wikidata.org/wiki/Q11658","display_name":"Transformer","level":3,"score":0.5039023756980896},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.4974193871021271},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.4862014651298523},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4766745865345001},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4763474762439728},{"id":"https://openalex.org/C118505674","wikidata":"https://www.wikidata.org/wiki/Q42586063","display_name":"Encoder","level":2,"score":0.4546301066875458},{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.448409765958786},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.44831281900405884},{"id":"https://openalex.org/C2778229166","wikidata":"https://www.wikidata.org/wiki/Q8290","display_name":"Phasor measurement unit","level":5,"score":0.4390672743320465},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.43029090762138367},{"id":"https://openalex.org/C176605952","wikidata":"https://www.wikidata.org/wiki/Q827674","display_name":"Phasor","level":4,"score":0.4282555878162384},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.3455272316932678},{"id":"https://openalex.org/C153180895","wikidata":"https://www.wikidata.org/wiki/Q7148389","display_name":"Pattern recognition (psychology)","level":2,"score":0.33971017599105835},{"id":"https://openalex.org/C89227174","wikidata":"https://www.wikidata.org/wiki/Q2388981","display_name":"Electric power system","level":3,"score":0.30035823583602905},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.22768107056617737},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0777239203453064},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s40747-023-01252-8","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s40747-023-01252-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-023-01252-8.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:6fd78339ab34429f8898ddb9b42877fd","is_oa":true,"landing_page_url":"https://doaj.org/article/6fd78339ab34429f8898ddb9b42877fd","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complex & Intelligent Systems, Vol 10, Iss 2, Pp 1971-1983 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1007/s40747-023-01252-8","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s40747-023-01252-8","pdf_url":"https://link.springer.com/content/pdf/10.1007/s40747-023-01252-8.pdf","source":{"id":"https://openalex.org/S3035462843","display_name":"Complex & Intelligent Systems","issn_l":"2198-6053","issn":["2198-6053","2199-4536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complex & Intelligent Systems","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4387670994.pdf"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1966534617","https://openalex.org/W1983479840","https://openalex.org/W2029725686","https://openalex.org/W2042858731","https://openalex.org/W2090135586","https://openalex.org/W2091921805","https://openalex.org/W2157331557","https://openalex.org/W2183614669","https://openalex.org/W2295598076","https://openalex.org/W2332213682","https://openalex.org/W2470673105","https://openalex.org/W2566352706","https://openalex.org/W2607740335","https://openalex.org/W2607845345","https://openalex.org/W2741806456","https://openalex.org/W2885359918","https://openalex.org/W2905802048","https://openalex.org/W2913340405","https://openalex.org/W2963430933","https://openalex.org/W2998103904","https://openalex.org/W3036700726","https://openalex.org/W3038773941","https://openalex.org/W3110874572","https://openalex.org/W3122598275","https://openalex.org/W3133618741","https://openalex.org/W3135654743","https://openalex.org/W3170729104","https://openalex.org/W3196664936","https://openalex.org/W4311057585","https://openalex.org/W4311724006","https://openalex.org/W6600648412"],"related_works":["https://openalex.org/W2028471916","https://openalex.org/W2547260311","https://openalex.org/W1589114377","https://openalex.org/W2154842468","https://openalex.org/W2536794900","https://openalex.org/W1538400183","https://openalex.org/W2564500233","https://openalex.org/W1995635042","https://openalex.org/W2999493000","https://openalex.org/W2025215636"],"abstract_inverted_index":{"Abstract":[0],"Methods":[1],"for":[2,36,114],"short-term":[3],"voltage":[4],"stability":[5,69,107],"(STVS)":[6],"assessment":[7,38,70,108],"based":[8],"on":[9],"phasor":[10],"measurement":[11],"unit":[12],"(PMU)":[13],"data":[14,42,58,73,96,161],"have":[15,44],"become":[16],"quite":[17],"abundant.":[18],"However,":[19],"most":[20],"of":[21,39,47,57,160],"them":[22],"are":[23],"challenged":[24],"to":[25,92,105],"deal":[26],"with":[27,131],"the":[28,45,55,83,115,120,124,136,143,154,158],"commonly":[29],"encountered":[30],"incomplete":[31,40],"PMU":[32,41,95],"data.":[33],"Existing":[34],"models":[35,133],"STVS":[37],"mostly":[43],"disadvantages":[46],"high":[48],"computational":[49],"complexity":[50],"and":[51,71,98,126,149,157],"large":[52],"impact":[53],"from":[54],"level":[56,159],"missing.":[59],"This":[60],"paper":[61,141],"proposes":[62],"a":[63,87,99],"multi-task":[64],"learning":[65],"method":[66],"that":[67,135],"performs":[68],"missing":[72,116],"completion":[74,117],"in":[75,122,139,146],"parallel.":[76],"The":[77,110],"Transformer":[78],"Encoder":[79],"is":[80,90,103,150],"used":[81,91,104,113],"as":[82],"shared":[84],"feature":[85],"extractor,":[86],"GRU":[88],"structure":[89],"output":[93,106],"complete":[94],"sequences,":[97],"BP":[100],"neural":[101],"network":[102],"results.":[109],"loss":[111],"function":[112],"task":[118],"considers":[119],"accuracy":[121],"both":[123],"shape":[125],"time":[127],"domains.":[128],"A":[129],"comparison":[130],"relevant":[132],"shows":[134],"model":[137],"proposed":[138],"this":[140],"achieves":[142],"best":[144],"performance":[145],"all":[147],"indicators":[148],"minimally":[151],"affected":[152],"by":[153],"observation":[155],"windows":[156],"loss,":[162],"demonstrating":[163],"good":[164],"robustness.":[165]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-01-23T23:20:30.427331","created_date":"2025-10-10T00:00:00"}