{"id":"https://openalex.org/W4285125246","doi":"https://doi.org/10.1109/tie.2022.3187578","title":"A Multifrequency Small-Signal Model for the MLCL-Filtered Grid-Connected Inverter Considering the FCE of Nonlinear Inductors","display_name":"A Multifrequency Small-Signal Model for the MLCL-Filtered Grid-Connected Inverter Considering the FCE of Nonlinear Inductors","publication_year":2022,"publication_date":"2022-07-07","ids":{"openalex":"https://openalex.org/W4285125246","doi":"https://doi.org/10.1109/tie.2022.3187578"},"language":"en","primary_location":{"id":"doi:10.1109/tie.2022.3187578","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2022.3187578","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/A5100630301","display_name":"Jiansong Zhang","orcid":"https://orcid.org/0000-0002-4102-7512"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jiansong Zhang","raw_affiliation_strings":["School of Electrical Engineering, Xi&#x0027;an Jiaotong University, Xi&#x0027;an, China"],"raw_orcid":"https://orcid.org/0000-0002-4102-7512","affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Xi&#x0027;an Jiaotong University, Xi&#x0027;an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100612870","display_name":"Xu Yang","orcid":"https://orcid.org/0000-0003-0292-5659"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xu Yang","raw_affiliation_strings":["School of Electrical Engineering, Xi&#x0027;an Jiaotong University, Xi&#x0027;an, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Xi&#x0027;an Jiaotong University, Xi&#x0027;an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100462257","display_name":"Wenjie Chen","orcid":"https://orcid.org/0000-0002-4116-5392"},"institutions":[{"id":"https://openalex.org/I4391768273","display_name":"State Key Laboratory of Electrical Insulation and Power Equipment","ror":"https://ror.org/03kd9rr37","country_code":null,"type":"facility","lineage":["https://openalex.org/I4391768273","https://openalex.org/I87445476"]},{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenjie Chen","raw_affiliation_strings":["State Key Laboratory of Electrical Insulation and Power Equipment, Xi&#x0027;an Jiaotong University, Xi&#x0027;an, China"],"raw_orcid":"https://orcid.org/0000-0002-4116-5392","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Electrical Insulation and Power Equipment, Xi&#x0027;an Jiaotong University, Xi&#x0027;an, China","institution_ids":["https://openalex.org/I87445476","https://openalex.org/I4391768273"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028589192","display_name":"Hongwei Zhou","orcid":"https://orcid.org/0000-0001-5086-4622"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hongwei Zhou","raw_affiliation_strings":["Xi&#x0027;an Jiaotong University, Xi&#x0027;an, China"],"raw_orcid":"https://orcid.org/0000-0001-5086-4622","affiliations":[{"raw_affiliation_string":"Xi&#x0027;an Jiaotong University, Xi&#x0027;an, China","institution_ids":["https://openalex.org/I87445476"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018390528","display_name":"Jie Luo","orcid":"https://orcid.org/0009-0003-6832-0238"},"institutions":[{"id":"https://openalex.org/I4210120155","display_name":"Tebian Electric Apparatus (China)","ror":"https://ror.org/02eh7bh87","country_code":"CN","type":"company","lineage":["https://openalex.org/I4210120155"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Luo","raw_affiliation_strings":["TBEA Xi&#x0027;an Electric Technology Company, Ltd., Chang&#x0027;an County, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TBEA Xi&#x0027;an Electric Technology Company, Ltd., Chang&#x0027;an County, China","institution_ids":["https://openalex.org/I4210120155"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5100630301"],"corresponding_institution_ids":["https://openalex.org/I87445476"],"apc_list":null,"apc_paid":null,"fwci":1.0936,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.75953737,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"70","issue":"5","first_page":"4901","last_page":"4911"},"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/T11102","display_name":"HVDC Systems and Fault Protection","score":0.9915000200271606,"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/T13183","display_name":"Islanding Detection in Power Systems","score":0.9894999861717224,"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":0.7083343267440796},{"id":"https://openalex.org/keywords/inverter","display_name":"Inverter","score":0.7049204707145691},{"id":"https://openalex.org/keywords/inductor","display_name":"Inductor","score":0.6282584071159363},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5820658206939697},{"id":"https://openalex.org/keywords/sideband","display_name":"Sideband","score":0.4981975555419922},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.47571831941604614},{"id":"https://openalex.org/keywords/lti-system-theory","display_name":"LTI system theory","score":0.44715991616249084},{"id":"https://openalex.org/keywords/frequency-domain","display_name":"Frequency domain","score":0.4407927095890045},{"id":"https://openalex.org/keywords/grid","display_name":"Grid","score":0.4330729842185974},{"id":"https://openalex.org/keywords/small-signal-model","display_name":"Small-signal model","score":0.4196551740169525},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36641836166381836},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.34457525610923767},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.33785414695739746},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3360435366630554},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.32998669147491455},{"id":"https://openalex.org/keywords/linear-system","display_name":"Linear system","score":0.26277679204940796},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2191084921360016},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.15859374403953552},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13725736737251282},{"id":"https://openalex.org/keywords/radio-frequency","display_name":"Radio frequency","score":0.13035848736763}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7083343267440796},{"id":"https://openalex.org/C11190779","wikidata":"https://www.wikidata.org/wiki/Q664575","display_name":"Inverter","level":3,"score":0.7049204707145691},{"id":"https://openalex.org/C144534570","wikidata":"https://www.wikidata.org/wiki/Q5325","display_name":"Inductor","level":3,"score":0.6282584071159363},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5820658206939697},{"id":"https://openalex.org/C2776499502","wikidata":"https://www.wikidata.org/wiki/Q2267009","display_name":"Sideband","level":3,"score":0.4981975555419922},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.47571831941604614},{"id":"https://openalex.org/C87698059","wikidata":"https://www.wikidata.org/wiki/Q1808960","display_name":"LTI system theory","level":3,"score":0.44715991616249084},{"id":"https://openalex.org/C19118579","wikidata":"https://www.wikidata.org/wiki/Q786423","display_name":"Frequency domain","level":2,"score":0.4407927095890045},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.4330729842185974},{"id":"https://openalex.org/C2781038218","wikidata":"https://www.wikidata.org/wiki/Q1773875","display_name":"Small-signal model","level":3,"score":0.4196551740169525},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36641836166381836},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.34457525610923767},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.33785414695739746},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3360435366630554},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.32998669147491455},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.26277679204940796},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2191084921360016},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.15859374403953552},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13725736737251282},{"id":"https://openalex.org/C74064498","wikidata":"https://www.wikidata.org/wiki/Q3396184","display_name":"Radio frequency","level":2,"score":0.13035848736763},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tie.2022.3187578","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2022.3187578","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":[{"id":"https://metadata.un.org/sdg/7","score":0.6800000071525574,"display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G8781066508","display_name":null,"funder_award_id":"51977175","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1578747665","https://openalex.org/W2016624209","https://openalex.org/W2073017797","https://openalex.org/W2076420009","https://openalex.org/W2098348115","https://openalex.org/W2117032398","https://openalex.org/W2128509945","https://openalex.org/W2157681197","https://openalex.org/W2159081300","https://openalex.org/W2586612724","https://openalex.org/W2625969629","https://openalex.org/W2761706058","https://openalex.org/W2765359356","https://openalex.org/W2769609015","https://openalex.org/W2771125294","https://openalex.org/W2830390047","https://openalex.org/W2946664633","https://openalex.org/W2983924263","https://openalex.org/W3003372720","https://openalex.org/W3003873921","https://openalex.org/W3119615906","https://openalex.org/W3145527140","https://openalex.org/W3159583612","https://openalex.org/W4230278603","https://openalex.org/W6634701477"],"related_works":["https://openalex.org/W2965983352","https://openalex.org/W2027630214","https://openalex.org/W1924629901","https://openalex.org/W2048093852","https://openalex.org/W2798896958","https://openalex.org/W2165645320","https://openalex.org/W2198613650","https://openalex.org/W2165364535","https://openalex.org/W2144804131","https://openalex.org/W3205880937"],"abstract_inverted_index":{"To":[0],"study":[1],"the":[2,11,24,43,52,58,63,76,89,95,100,122,129,137,140,154,160,172,191],"frequency":[3,12,54,130],"coupling":[4,39],"effect":[5,124],"(FCE)":[6],"of":[7,42,99,139],"nonlinear":[8],"inductors":[9],"in":[10,14,80,128],"domain,":[13],"this":[15,93],"article,":[16],"a":[17,107,182],"multifrequency":[18,65,90,150],"small-signal":[19,112],"model":[20,33,47,66,113,151,163],"is":[21,34,102,116,119,125],"developed":[22,169],"for":[23],"modified":[25],"<italic":[26],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[27],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">LCL</i>":[28],"-filtered":[29],"grid-connected":[30],"inverter.":[31],"This":[32],"realized":[35],"by":[36,105],"extracting":[37],"sideband":[38],"units":[40],"out":[41],"harmonic":[44],"state-space":[45],"(HSS)":[46],"and":[48,71,144,156,174,178],"superposing":[49],"them":[50],"to":[51,74,170,189],"perturbation":[53],"loop.":[55],"Compared":[56],"with":[57,88],"complicated":[59],"reductant":[60],"HSS":[61],"model,":[62,94],"proposed":[64,149],"provides":[67],"an":[68],"intuitive,":[69],"efficient,":[70],"accurate":[72],"way":[73],"describe":[75],"system.":[77],"Besides,":[78,104],"notions":[79],"classical":[81],"control":[82,97],"theory":[83],"can":[84],"be":[85],"directly":[86],"utilized":[87],"model.":[91],"With":[92],"current":[96],"loop":[98],"inverter":[101,186],"studied.":[103],"introducing":[106],"simplified":[108,161],"linear":[109],"time-invariant":[110],"(LTI)":[111],"(the":[114],"FCE":[115,123],"ignored),":[117],"it":[118],"found":[120],"that":[121],"nonnegligible,":[126],"especially":[127],"range":[131],"around":[132],"resonance":[133,142,146],"points,":[134],"which":[135],"affects":[136],"stability":[138],"differential-mode":[141],"(DMR)":[143],"common-mode":[145],"(CMR).":[147],"The":[148],"accurately":[152],"predicts":[153],"DMR":[155,173],"CMR":[157],"stability,":[158],"while":[159],"LTI":[162],"fails.":[164],"Furthermore,":[165],"damping":[166],"strategies":[167],"are":[168,187],"suppress":[171],"CMR.":[175],"Finally,":[176],"simulations":[177],"experiments":[179],"based":[180],"on":[181],"228":[183],"kW":[184],"photovoltaic":[185],"conducted":[188],"verify":[190],"analytical":[192],"result.":[193]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}