{"id":"https://openalex.org/W4361798773","doi":"https://doi.org/10.1109/tsg.2023.3262756","title":"Synchronization Stability of Grid-Following VSC Considering Interactions of Inner Current Loop and Parallel-Connected Converters","display_name":"Synchronization Stability of Grid-Following VSC Considering Interactions of Inner Current Loop and Parallel-Connected Converters","publication_year":2023,"publication_date":"2023-03-29","ids":{"openalex":"https://openalex.org/W4361798773","doi":"https://doi.org/10.1109/tsg.2023.3262756"},"language":"en","primary_location":{"id":"doi:10.1109/tsg.2023.3262756","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2023.3262756","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/A5034732567","display_name":"Xikun Fu","orcid":"https://orcid.org/0000-0001-9720-8534"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Xikun Fu","raw_affiliation_strings":["Hubei Key Laboratory of Power Equipment and System Security for Integrated Energy and the School of Electrical Engineering and Automation, Wuhan University, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"Hubei Key Laboratory of Power Equipment and System Security for Integrated Energy and the School of Electrical Engineering and Automation, Wuhan University, Wuhan, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075581274","display_name":"Meng Huang","orcid":"https://orcid.org/0000-0002-0139-9178"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Meng Huang","raw_affiliation_strings":["Hubei Key Laboratory of Power Equipment and System Security for Integrated Energy and the School of Electrical Engineering and Automation, Wuhan University, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"Hubei Key Laboratory of Power Equipment and System Security for Integrated Energy and the School of Electrical Engineering and Automation, Wuhan University, Wuhan, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021923917","display_name":"Chi K. Tse","orcid":"https://orcid.org/0000-0002-0462-3999"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Chi K. Tse","raw_affiliation_strings":["Department of Electrical Engineering, City University of Hong Kong, Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, City University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066155415","display_name":"Jingxi Yang","orcid":"https://orcid.org/0000-0003-3137-7444"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Jingxi Yang","raw_affiliation_strings":["Department of Electrical Engineering, City University of Hong Kong, Hong Kong, China"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, City University of Hong Kong, Hong Kong, China","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009013462","display_name":"Yangjian Ling","orcid":"https://orcid.org/0000-0002-5691-4042"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yangjian Ling","raw_affiliation_strings":["Hubei Key Laboratory of Power Equipment and System Security for Integrated Energy and the School of Electrical Engineering and Automation, Wuhan University, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"Hubei Key Laboratory of Power Equipment and System Security for Integrated Energy and the School of Electrical Engineering and Automation, Wuhan University, Wuhan, China","institution_ids":["https://openalex.org/I37461747"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004508414","display_name":"Xiaoming Zha","orcid":"https://orcid.org/0000-0002-1102-891X"},"institutions":[{"id":"https://openalex.org/I37461747","display_name":"Wuhan University","ror":"https://ror.org/033vjfk17","country_code":"CN","type":"education","lineage":["https://openalex.org/I37461747"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoming Zha","raw_affiliation_strings":["Hubei Key Laboratory of Power Equipment and System Security for Integrated Energy and the School of Electrical Engineering and Automation, Wuhan University, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"Hubei Key Laboratory of Power Equipment and System Security for Integrated Energy and the School of Electrical Engineering and Automation, Wuhan University, Wuhan, China","institution_ids":["https://openalex.org/I37461747"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5034732567"],"corresponding_institution_ids":["https://openalex.org/I37461747"],"apc_list":null,"apc_paid":null,"fwci":6.766,"has_fulltext":false,"cited_by_count":37,"citation_normalized_percentile":{"value":0.97456219,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"14","issue":"6","first_page":"4230","last_page":"4241"},"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/T13183","display_name":"Islanding Detection in Power Systems","score":0.9901000261306763,"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/T14444","display_name":"Power Systems and Renewable Energy","score":0.9811000227928162,"subfield":{"id":"https://openalex.org/subfields/2102","display_name":"Energy Engineering and Power Technology"},"field":{"id":"https://openalex.org/fields/21","display_name":"Energy"},"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":0.8605114221572876},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.7531028985977173},{"id":"https://openalex.org/keywords/phase-locked-loop","display_name":"Phase-locked loop","score":0.7013118863105774},{"id":"https://openalex.org/keywords/converters","display_name":"Converters","score":0.5520161986351013},{"id":"https://openalex.org/keywords/voltage-source","display_name":"Voltage source","score":0.5284383296966553},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.5138266682624817},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.4770854413509369},{"id":"https://openalex.org/keywords/lyapunov-stability","display_name":"Lyapunov stability","score":0.4619129002094269},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44187551736831665},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.35788899660110474},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2944532632827759},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.27624833583831787},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.19638994336128235},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.06988298892974854}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.8605114221572876},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.7531028985977173},{"id":"https://openalex.org/C12707504","wikidata":"https://www.wikidata.org/wiki/Q52637","display_name":"Phase-locked loop","level":3,"score":0.7013118863105774},{"id":"https://openalex.org/C2778422915","wikidata":"https://www.wikidata.org/wiki/Q10302051","display_name":"Converters","level":3,"score":0.5520161986351013},{"id":"https://openalex.org/C144655898","wikidata":"https://www.wikidata.org/wiki/Q1161128","display_name":"Voltage source","level":3,"score":0.5284383296966553},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.5138266682624817},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.4770854413509369},{"id":"https://openalex.org/C2776829284","wikidata":"https://www.wikidata.org/wiki/Q1341651","display_name":"Lyapunov stability","level":3,"score":0.4619129002094269},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44187551736831665},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.35788899660110474},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2944532632827759},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.27624833583831787},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.19638994336128235},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.06988298892974854},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","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},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C134652429","wikidata":"https://www.wikidata.org/wiki/Q1052698","display_name":"Jitter","level":2,"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/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tsg.2023.3262756","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tsg.2023.3262756","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":[{"score":0.6399999856948853,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G3195672438","display_name":null,"funder_award_id":"2022YFB2402701","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W2021740312","https://openalex.org/W2090230498","https://openalex.org/W2097501889","https://openalex.org/W2132967688","https://openalex.org/W2159410934","https://openalex.org/W2280707463","https://openalex.org/W2570969227","https://openalex.org/W2598974587","https://openalex.org/W2755451687","https://openalex.org/W2898968226","https://openalex.org/W2911026196","https://openalex.org/W2952105605","https://openalex.org/W2970988154","https://openalex.org/W3044907673","https://openalex.org/W3048500194","https://openalex.org/W3081965210","https://openalex.org/W3082711547","https://openalex.org/W3093775620","https://openalex.org/W3101018569","https://openalex.org/W3113996206","https://openalex.org/W3129624334","https://openalex.org/W3160953343","https://openalex.org/W3171329801","https://openalex.org/W3185393101","https://openalex.org/W3196075521","https://openalex.org/W3209872041","https://openalex.org/W3212986090","https://openalex.org/W3217194976","https://openalex.org/W4206599660","https://openalex.org/W4214678518","https://openalex.org/W4226287198","https://openalex.org/W4285248540","https://openalex.org/W6839116184"],"related_works":["https://openalex.org/W3215019463","https://openalex.org/W1892888752","https://openalex.org/W2384397176","https://openalex.org/W4387011301","https://openalex.org/W2385412102","https://openalex.org/W2353355202","https://openalex.org/W2150442046","https://openalex.org/W1562902118","https://openalex.org/W2886869858","https://openalex.org/W2392442938"],"abstract_inverted_index":{"In":[0,31,118],"the":[1,8,20,23,37,43,59,65,73,89,99,105,108,122,131,137,142,152],"grid-following":[2],"(GFL)":[3],"voltage":[4],"source":[5],"converter":[6],"(VSC),":[7],"synchronization":[9,44,74,110,116],"process":[10],"of":[11,39,46,61,67,98,125],"phase-locked":[12],"loop":[13,26],"(PLL)":[14],"can":[15,135],"be":[16],"seriously":[17],"affected":[18],"by":[19,58],"interactions":[21,41,50,57,129],"from":[22,88],"inner":[24],"current":[25],"and":[27,55,114,127,146],"other":[28],"parallel-connected":[29],"VSCs.":[30],"this":[32,94],"paper,":[33],"we":[34,102,120],"focus":[35],"on":[36,42,72,79],"influences":[38],"these":[40,49],"stability":[45,75,83],"GFL-VSC.":[47],"Firstly,":[48],"are":[51,148],"classified":[52],"into":[53],"static":[54,126],"dynamic":[56,66,128],"mechanism":[60],"how":[62,104],"they":[63],"affect":[64],"PLL.":[68],"Then,":[69],"their":[70],"influence":[71],"is":[76,86],"estimated":[77],"based":[78],"a":[80],"novel":[81],"Lyapunov":[82],"criterion,":[84],"which":[85,134],"derived":[87],"extended":[90],"invariance":[91],"principle.":[92],"On":[93],"basis,":[95],"in":[96],"terms":[97],"physical":[100],"mechanism,":[101],"reveal":[103],"VSC":[106,132],"exhibits":[107],"non-asymptotic":[109],"(i.e.,":[111],"limit":[112],"cycles)":[113],"cascading":[115],"instability.":[117],"addition,":[119],"get":[121],"maximum":[123],"range":[124],"that":[130],"endure,":[133],"provide":[136],"practical":[138],"design":[139],"guidance":[140],"for":[141],"VSC.":[143],"Finally,":[144],"simulations":[145],"experiments":[147],"performed":[149],"to":[150],"verify":[151],"theoretical":[153],"findings.":[154]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":21},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":6}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}