{"id":"https://openalex.org/W4313049996","doi":"https://doi.org/10.1109/tie.2022.3210484","title":"Modeling and Transient Stability Analysis for Type-3 Wind Turbines Using Singular Perturbation and Lyapunov Methods","display_name":"Modeling and Transient Stability Analysis for Type-3 Wind Turbines Using Singular Perturbation and Lyapunov Methods","publication_year":2022,"publication_date":"2022-10-05","ids":{"openalex":"https://openalex.org/W4313049996","doi":"https://doi.org/10.1109/tie.2022.3210484"},"language":"en","primary_location":{"id":"doi:10.1109/tie.2022.3210484","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2022.3210484","pdf_url":null,"source":{"id":"https://openalex.org/S58031724","display_name":"IEEE Transactions on Industrial Electronics","issn_l":"0278-0046","issn":["0278-0046","1557-9948"],"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 Industrial Electronics","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/A5070406163","display_name":"Yumei Ma","orcid":"https://orcid.org/0000-0003-3512-4751"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yumei Ma","raw_affiliation_strings":["State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005473770","display_name":"Donghai Zhu","orcid":"https://orcid.org/0000-0002-0997-2370"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Donghai Zhu","raw_affiliation_strings":["State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0002-0997-2370","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075181772","display_name":"Ziqin Zhang","orcid":"https://orcid.org/0000-0002-0880-6960"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ziqin Zhang","raw_affiliation_strings":["State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0002-0880-6960","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102890803","display_name":"Xudong Zou","orcid":"https://orcid.org/0000-0001-6037-2891"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xudong Zou","raw_affiliation_strings":["State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0001-6037-2891","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001987449","display_name":"Jiabing Hu","orcid":"https://orcid.org/0000-0002-3670-3029"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiabing Hu","raw_affiliation_strings":["State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043785255","display_name":"Yong Cheol Kang","orcid":"https://orcid.org/0000-0002-4299-5005"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yong Kang","raw_affiliation_strings":["State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5070406163"],"corresponding_institution_ids":["https://openalex.org/I47720641"],"apc_list":null,"apc_paid":null,"fwci":10.5711,"has_fulltext":false,"cited_by_count":90,"citation_normalized_percentile":{"value":0.99052496,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"70","issue":"8","first_page":"8075","last_page":"8086"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":0.9998999834060669,"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":0.9998999834060669,"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/T13183","display_name":"Islanding Detection in Power Systems","score":0.9980999827384949,"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/T10305","display_name":"Power System Optimization and Stability","score":0.9976000189781189,"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/control-theory","display_name":"Control theory (sociology)","score":0.8694237470626831},{"id":"https://openalex.org/keywords/phase-locked-loop","display_name":"Phase-locked loop","score":0.5407242178916931},{"id":"https://openalex.org/keywords/lyapunov-function","display_name":"Lyapunov function","score":0.5346276760101318},{"id":"https://openalex.org/keywords/transient","display_name":"Transient (computer programming)","score":0.5283306837081909},{"id":"https://openalex.org/keywords/singular-perturbation","display_name":"Singular perturbation","score":0.4714839458465576},{"id":"https://openalex.org/keywords/instability","display_name":"Instability","score":0.46794643998146057},{"id":"https://openalex.org/keywords/perturbation","display_name":"Perturbation (astronomy)","score":0.46488261222839355},{"id":"https://openalex.org/keywords/wind-power","display_name":"Wind power","score":0.44526898860931396},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.4413997530937195},{"id":"https://openalex.org/keywords/controller","display_name":"Controller (irrigation)","score":0.43828317523002625},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4290655851364136},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.3838120400905609},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.3341044485569},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.299008846282959},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.21994540095329285},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.1841646134853363},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.10784992575645447},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07125148177146912}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8694237470626831},{"id":"https://openalex.org/C12707504","wikidata":"https://www.wikidata.org/wiki/Q52637","display_name":"Phase-locked loop","level":3,"score":0.5407242178916931},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.5346276760101318},{"id":"https://openalex.org/C2780799671","wikidata":"https://www.wikidata.org/wiki/Q17087362","display_name":"Transient (computer programming)","level":2,"score":0.5283306837081909},{"id":"https://openalex.org/C165160513","wikidata":"https://www.wikidata.org/wiki/Q7524249","display_name":"Singular perturbation","level":2,"score":0.4714839458465576},{"id":"https://openalex.org/C207821765","wikidata":"https://www.wikidata.org/wiki/Q405372","display_name":"Instability","level":2,"score":0.46794643998146057},{"id":"https://openalex.org/C177918212","wikidata":"https://www.wikidata.org/wiki/Q803623","display_name":"Perturbation (astronomy)","level":2,"score":0.46488261222839355},{"id":"https://openalex.org/C78600449","wikidata":"https://www.wikidata.org/wiki/Q43302","display_name":"Wind power","level":2,"score":0.44526898860931396},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.4413997530937195},{"id":"https://openalex.org/C203479927","wikidata":"https://www.wikidata.org/wiki/Q5165939","display_name":"Controller (irrigation)","level":2,"score":0.43828317523002625},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4290655851364136},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.3838120400905609},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.3341044485569},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.299008846282959},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.21994540095329285},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.1841646134853363},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.10784992575645447},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07125148177146912},{"id":"https://openalex.org/C134652429","wikidata":"https://www.wikidata.org/wiki/Q1052698","display_name":"Jitter","level":2,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tie.2022.3210484","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2022.3210484","pdf_url":null,"source":{"id":"https://openalex.org/S58031724","display_name":"IEEE Transactions on Industrial Electronics","issn_l":"0278-0046","issn":["0278-0046","1557-9948"],"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 Industrial Electronics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Affordable and clean energy","score":0.8999999761581421,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G3621993471","display_name":null,"funder_award_id":"YCJJ202202017","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G6461341988","display_name":null,"funder_award_id":"51907072","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7454771798","display_name":null,"funder_award_id":"2021XXJS004","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":44,"referenced_works":["https://openalex.org/W420509224","https://openalex.org/W1604213221","https://openalex.org/W1763243278","https://openalex.org/W1974967408","https://openalex.org/W1977777567","https://openalex.org/W1981829062","https://openalex.org/W1982449368","https://openalex.org/W2097501889","https://openalex.org/W2140883137","https://openalex.org/W2323773310","https://openalex.org/W2343000657","https://openalex.org/W2343323892","https://openalex.org/W2577573181","https://openalex.org/W2766585428","https://openalex.org/W2774470015","https://openalex.org/W2800326108","https://openalex.org/W2890705574","https://openalex.org/W2896180559","https://openalex.org/W2901069434","https://openalex.org/W2911026196","https://openalex.org/W2914659810","https://openalex.org/W2933102103","https://openalex.org/W2952577944","https://openalex.org/W2965288680","https://openalex.org/W2965352614","https://openalex.org/W2966820245","https://openalex.org/W2970988154","https://openalex.org/W2991313783","https://openalex.org/W3034174333","https://openalex.org/W3044907673","https://openalex.org/W3081965210","https://openalex.org/W3101018569","https://openalex.org/W3113658772","https://openalex.org/W3117279844","https://openalex.org/W3122164521","https://openalex.org/W3159879106","https://openalex.org/W3160953343","https://openalex.org/W3167987898","https://openalex.org/W3168801391","https://openalex.org/W4206473361","https://openalex.org/W4221006662","https://openalex.org/W4226216587","https://openalex.org/W4235743092","https://openalex.org/W4285170979"],"related_works":["https://openalex.org/W1576949837","https://openalex.org/W4327639758","https://openalex.org/W2116787190","https://openalex.org/W2154304710","https://openalex.org/W2623488306","https://openalex.org/W1971902905","https://openalex.org/W2006371715","https://openalex.org/W2534107666","https://openalex.org/W2117933783","https://openalex.org/W2560479139"],"abstract_inverted_index":{"Wind":[0],"turbines":[1],"(WTs)":[2],"are":[3,123],"prone":[4],"to":[5,24,30,79,125,178,187],"transient":[6,27,56,67,155,180],"instability":[7,57],"during":[8],"weak":[9],"grid":[10,145],"faults,":[11],"which":[12,51,182],"is":[13,21,90,101,160,174,195],"caused":[14],"by":[15,197],"their":[16],"complex":[17],"interactions.":[18],"However,":[19],"it":[20],"a":[22,42,87,104,175],"challenge":[23],"analyze":[25,126],"the":[26,36,55,66,81,93,97,127,136,142,164,193],"stability,":[28,181],"due":[29],"high-order":[31],"and":[32,75,108,120,131,151,171],"strong":[33],"nonlinearity.":[34],"Moreover,":[35],"existing":[37],"works":[38],"mainly":[39],"focus":[40],"on":[41,116,154],"phase-locked":[43],"loop":[44],"(PLL)":[45],"system":[46],"while":[47],"ignoring":[48],"current":[49,76,147,149],"control,":[50],"cannot":[52],"fully":[53],"reflect":[54],"mechanism.":[58],"To":[59],"fill":[60],"this":[61,63],"gap,":[62],"article":[64],"studies":[65],"stability":[68,128,156],"of":[69,84,129,138,157],"type-3":[70,85,158],"WT":[71,159],"considering":[72],"both":[73],"PLL":[74,152],"control.":[77],"First,":[78],"simplify":[80],"full":[82,99],"model":[83,100],"WT,":[86],"slow\u2013fast":[88],"subsystem":[89,107],"established":[91],"using":[92],"singular":[94,169],"perturbation.":[95],"Then,":[96],"sixth-order":[98],"simplified":[102],"as":[103],"second-order":[105],"slow":[106,130],"its":[109],"small":[110],"disturbance":[111],"(i.e.,":[112],"fast":[113,132],"subsystem).":[114],"Based":[115],"it,":[117],"Lyapunov's":[118],"direct":[119],"indirect":[121],"methods":[122,173],"adopted":[124],"subsystems,":[133],"respectively.":[134],"Meanwhile,":[135],"influence":[137],"various":[139],"factors":[140],"(e.g.,":[141],"fault":[143],"degree,":[144],"inductance,":[146],"references,":[148],"controller,":[150],"controller)":[153],"revealed.":[161],"In":[162],"addition,":[163],"proposed":[165],"analytical":[166],"method":[167],"combining":[168],"perturbation":[170],"Lyapunov":[172],"new":[176],"approach":[177],"studying":[179],"can":[183],"also":[184],"be":[185],"applied":[186],"other":[188],"renewable":[189],"energy":[190],"resources.":[191],"Finally,":[192],"analysis":[194],"validated":[196],"experiments.":[198]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":19},{"year":2024,"cited_by_count":25},{"year":2023,"cited_by_count":42},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}