{"id":"https://openalex.org/W4408254219","doi":"https://doi.org/10.1109/tie.2025.3541305","title":"Nonlinear Frequency-Domain Stability Criterion for Three-Phase Grid-Following Inverters","display_name":"Nonlinear Frequency-Domain Stability Criterion for Three-Phase Grid-Following Inverters","publication_year":2025,"publication_date":"2025-03-05","ids":{"openalex":"https://openalex.org/W4408254219","doi":"https://doi.org/10.1109/tie.2025.3541305"},"language":"en","primary_location":{"id":"doi:10.1109/tie.2025.3541305","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2025.3541305","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/A5037179537","display_name":"Cheng Cheng","orcid":"https://orcid.org/0000-0002-4700-539X"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cheng Cheng","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jinan, China"],"raw_orcid":"https://orcid.org/0000-0002-4700-539X","affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087237738","display_name":"Alian Chen","orcid":"https://orcid.org/0000-0002-9062-2035"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Alian Chen","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jinan, China"],"raw_orcid":"https://orcid.org/0000-0002-9062-2035","affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023343331","display_name":"Yaopeng Huang","orcid":"https://orcid.org/0000-0002-9629-1361"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yaopeng Huang","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jinan, China"],"raw_orcid":"https://orcid.org/0000-0002-9629-1361","affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009596663","display_name":"Guanguan Zhang","orcid":"https://orcid.org/0000-0002-2935-4270"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Guanguan Zhang","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jinan, China"],"raw_orcid":"https://orcid.org/0000-0002-2935-4270","affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100438436","display_name":"Hang Zhang","orcid":"https://orcid.org/0000-0001-8056-8138"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hang Zhang","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jinan, China"],"raw_orcid":"https://orcid.org/0000-0001-8056-8138","affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063685716","display_name":"Xianzhe Pang","orcid":"https://orcid.org/0000-0003-3077-953X"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xianzhe Pang","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jinan, China"],"raw_orcid":"https://orcid.org/0000-0003-3077-953X","affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073883978","display_name":"Yuejiao Wang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yuejiao Wang","raw_affiliation_strings":["State Grid Shandong Electric Power Company, Jinan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Grid Shandong Electric Power Company, Jinan, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103051990","display_name":"Jiawei Xing","orcid":"https://orcid.org/0009-0003-9745-6767"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jiawei Xing","raw_affiliation_strings":["State Grid Shandong Electric Power Company, Jinan, China"],"raw_orcid":"https://orcid.org/0009-0003-9745-6767","affiliations":[{"raw_affiliation_string":"State Grid Shandong Electric Power Company, Jinan, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":8,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03892676,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"72","issue":"9","first_page":"9184","last_page":"9195"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10223","display_name":"Microgrid Control and Optimization","score":0.9932000041007996,"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":0.9932000041007996,"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/T11102","display_name":"HVDC Systems and Fault Protection","score":0.9879000186920166,"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/T14502","display_name":"High-Voltage Power Transmission Systems","score":0.98089998960495,"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":0.6611390113830566},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6225966811180115},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.6060450077056885},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.567009687423706},{"id":"https://openalex.org/keywords/circle-criterion","display_name":"Circle criterion","score":0.5245071649551392},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4197457432746887},{"id":"https://openalex.org/keywords/frequency-grid","display_name":"Frequency grid","score":0.41120922565460205},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.3955616354942322},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33699896931648254},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2514166235923767},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15307441353797913},{"id":"https://openalex.org/keywords/exponential-stability","display_name":"Exponential stability","score":0.1530405580997467}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6611390113830566},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6225966811180115},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.6060450077056885},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.567009687423706},{"id":"https://openalex.org/C65521940","wikidata":"https://www.wikidata.org/wiki/Q5121443","display_name":"Circle criterion","level":4,"score":0.5245071649551392},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4197457432746887},{"id":"https://openalex.org/C21905445","wikidata":"https://www.wikidata.org/wiki/Q5502873","display_name":"Frequency grid","level":3,"score":0.41120922565460205},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.3955616354942322},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33699896931648254},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2514166235923767},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15307441353797913},{"id":"https://openalex.org/C167964875","wikidata":"https://www.wikidata.org/wiki/Q17011487","display_name":"Exponential stability","level":3,"score":0.1530405580997467},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tie.2025.3541305","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2025.3541305","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":[{"score":0.6899999976158142,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G1696232155","display_name":null,"funder_award_id":"62273205","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2963526766","display_name":null,"funder_award_id":"52407212","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7335189401","display_name":null,"funder_award_id":"2024M751807","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W2139361710","https://openalex.org/W2612483862","https://openalex.org/W2750130411","https://openalex.org/W2791193733","https://openalex.org/W2922564576","https://openalex.org/W2951627500","https://openalex.org/W2989648379","https://openalex.org/W2989799744","https://openalex.org/W3044907673","https://openalex.org/W3081965210","https://openalex.org/W3082711547","https://openalex.org/W3101018569","https://openalex.org/W3158048524","https://openalex.org/W3185393101","https://openalex.org/W3212986090","https://openalex.org/W4206599660","https://openalex.org/W4213074684","https://openalex.org/W4225763450","https://openalex.org/W4285248995","https://openalex.org/W4313887310","https://openalex.org/W4319866397","https://openalex.org/W4360993887","https://openalex.org/W4361802095","https://openalex.org/W4385696604","https://openalex.org/W4385938231","https://openalex.org/W4386590704","https://openalex.org/W4392980198"],"related_works":["https://openalex.org/W1970104640","https://openalex.org/W2161014041","https://openalex.org/W26213706","https://openalex.org/W2743355309","https://openalex.org/W2037433734","https://openalex.org/W1510557111","https://openalex.org/W2076569899","https://openalex.org/W1710216139","https://openalex.org/W1986489582","https://openalex.org/W2102521758"],"abstract_inverted_index":{"In":[0],"addition":[1],"to":[2,65],"the":[3,9,15,19,26,52,81,90,96],"synchronization":[4,56],"unit":[5],"and":[6,70,84,103],"weak":[7],"grid,":[8],"current":[10,72],"control":[11],"also":[12,40],"significantly":[13],"affects":[14],"transient":[16],"stability":[17,38,43,77],"of":[18,29,92],"grid-following":[20],"inverters":[21],"(GFIs).":[22],"Taking":[23],"into":[24],"account":[25],"dynamic":[27],"interaction":[28],"multiple":[30],"loops,":[31],"this":[32],"article":[33],"proposes":[34],"a":[35,106],"nonlinear":[36],"frequency-domain":[37],"criterion,":[39,61],"called":[41],"absolute":[42],"criterion":[44],"(ASC),":[45],"for":[46,86],"three-phase":[47],"GFI":[48],"(TP-GFI)":[49],"systems":[50],"in":[51,80],"gain-limited":[53],"orthonormal":[54],"(GLO)":[55],"framework.":[57],"The":[58],"proposed":[59,97],"theoretical":[60],"is":[62,99],"universally":[63],"applicable":[64],"arbitrary":[66],"inverter":[67],"circuit":[68],"structures":[69],"linear":[71],"controls,":[73],"provides":[74],"an":[75],"intuitive":[76],"graphical":[78],"representation":[79],"complex":[82],"plane,":[83],"allows":[85],"frequency-sweeping":[87],"verification":[88],"without":[89],"use":[91],"invasive":[93],"devices.":[94],"Finally,":[95],"theory":[98],"further":[100],"analyzed,":[101],"validated":[102],"discussed":[104],"through":[105],"conventional":[107],"case.":[108]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}