{"id":"https://openalex.org/W3213049711","doi":"https://doi.org/10.1109/tie.2021.3127012","title":"Modeling and Suppression of Circulating Currents Among Parallel Single-Phase Three-Level Grid-Tied Inverters","display_name":"Modeling and Suppression of Circulating Currents Among Parallel Single-Phase Three-Level Grid-Tied Inverters","publication_year":2021,"publication_date":"2021-11-16","ids":{"openalex":"https://openalex.org/W3213049711","doi":"https://doi.org/10.1109/tie.2021.3127012","mag":"3213049711"},"language":"en","primary_location":{"id":"doi:10.1109/tie.2021.3127012","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2021.3127012","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/A5100641479","display_name":"Chenghui Zhang","orcid":"https://orcid.org/0000-0003-2317-5930"},"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":"Chenghui Zhang","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jinan, China"],"raw_orcid":"https://orcid.org/0000-0003-2317-5930","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/A5103118274","display_name":"Zhizhen Wang","orcid":"https://orcid.org/0000-0002-4318-2831"},"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":"Zhizhen Wang","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jinan, China"],"raw_orcid":"https://orcid.org/0000-0002-4318-2831","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/A5069791357","display_name":"Xiangyang Xing","orcid":"https://orcid.org/0000-0001-7078-7783"},"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":"Xiangyang Xing","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jinan, China"],"raw_orcid":"https://orcid.org/0000-0001-7078-7783","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/A5100459426","display_name":"Xiaoyan Li","orcid":"https://orcid.org/0000-0003-1809-5514"},"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":"Xiaoyan Li","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jinan, China"],"raw_orcid":"https://orcid.org/0000-0003-1809-5514","affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100450824","display_name":"Xi Liu","orcid":"https://orcid.org/0000-0003-4886-2876"},"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":"Xi Liu","raw_affiliation_strings":["School of Control Science and Engineering, Shandong University, Jinan, China"],"raw_orcid":"https://orcid.org/0000-0003-4886-2876","affiliations":[{"raw_affiliation_string":"School of Control Science and Engineering, Shandong University, Jinan, China","institution_ids":["https://openalex.org/I154099455"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I154099455"],"apc_list":null,"apc_paid":null,"fwci":0.7868,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.71746352,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"69","issue":"12","first_page":"12967","last_page":"12979"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10228","display_name":"Multilevel Inverters and Converters","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/T10228","display_name":"Multilevel Inverters and Converters","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/T10223","display_name":"Microgrid Control and Optimization","score":0.9987000226974487,"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/T10175","display_name":"Advanced DC-DC Converters","score":0.9948999881744385,"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":0.5397596955299377},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.5106478333473206},{"id":"https://openalex.org/keywords/overcurrent","display_name":"Overcurrent","score":0.4893457293510437},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47407689690589905},{"id":"https://openalex.org/keywords/offset","display_name":"Offset (computer science)","score":0.4581204652786255},{"id":"https://openalex.org/keywords/capacitor","display_name":"Capacitor","score":0.4531760513782501},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.4427802562713623},{"id":"https://openalex.org/keywords/equivalent-circuit","display_name":"Equivalent circuit","score":0.42934104800224304},{"id":"https://openalex.org/keywords/photovoltaic-system","display_name":"Photovoltaic system","score":0.4212709367275238},{"id":"https://openalex.org/keywords/three-phase","display_name":"Three-phase","score":0.4112567901611328},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.33340954780578613},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.26158395409584045},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.09406757354736328}],"concepts":[{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5397596955299377},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.5106478333473206},{"id":"https://openalex.org/C47949032","wikidata":"https://www.wikidata.org/wiki/Q663542","display_name":"Overcurrent","level":3,"score":0.4893457293510437},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47407689690589905},{"id":"https://openalex.org/C175291020","wikidata":"https://www.wikidata.org/wiki/Q1156822","display_name":"Offset (computer science)","level":2,"score":0.4581204652786255},{"id":"https://openalex.org/C52192207","wikidata":"https://www.wikidata.org/wiki/Q5322","display_name":"Capacitor","level":3,"score":0.4531760513782501},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.4427802562713623},{"id":"https://openalex.org/C23572009","wikidata":"https://www.wikidata.org/wiki/Q964981","display_name":"Equivalent circuit","level":3,"score":0.42934104800224304},{"id":"https://openalex.org/C41291067","wikidata":"https://www.wikidata.org/wiki/Q1897785","display_name":"Photovoltaic system","level":2,"score":0.4212709367275238},{"id":"https://openalex.org/C173871940","wikidata":"https://www.wikidata.org/wiki/Q471846","display_name":"Three-phase","level":3,"score":0.4112567901611328},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.33340954780578613},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.26158395409584045},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.09406757354736328},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tie.2021.3127012","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2021.3127012","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":0.8500000238418579,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G6120576256","display_name":null,"funder_award_id":"61821004","funder_id":"https://openalex.org/F4320327720","funder_display_name":"Foundation for Innovative Research Groups of the National Natural Science Foundation of China"},{"id":"https://openalex.org/G6427107679","display_name":null,"funder_award_id":"ZR2020YQ50","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G6522946128","display_name":null,"funder_award_id":"U1964207","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6801610567","display_name":null,"funder_award_id":"62173210","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"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null},{"id":"https://openalex.org/F4320327720","display_name":"Foundation for Innovative Research Groups of the National Natural Science Foundation of China","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1924782089","https://openalex.org/W1995295879","https://openalex.org/W2036831018","https://openalex.org/W2062938873","https://openalex.org/W2065660542","https://openalex.org/W2103363621","https://openalex.org/W2113668379","https://openalex.org/W2116444921","https://openalex.org/W2156156570","https://openalex.org/W2325424391","https://openalex.org/W2483825058","https://openalex.org/W2534675260","https://openalex.org/W2541645650","https://openalex.org/W2606087219","https://openalex.org/W2770727890","https://openalex.org/W2774825699","https://openalex.org/W2781412795","https://openalex.org/W2925109423","https://openalex.org/W2953945713","https://openalex.org/W2982864875","https://openalex.org/W3015108752","https://openalex.org/W3128219405"],"related_works":["https://openalex.org/W2387649588","https://openalex.org/W2368502324","https://openalex.org/W2734322767","https://openalex.org/W2910287997","https://openalex.org/W4200517652","https://openalex.org/W1997731698","https://openalex.org/W2758425547","https://openalex.org/W2033206159","https://openalex.org/W2140381596","https://openalex.org/W2380318482"],"abstract_inverted_index":{"T-type":[0,82],"three-level":[1,83],"inverters":[2],"have":[3],"attracted":[4],"extensive":[5],"attention":[6],"for":[7,79],"their":[8],"utility":[9],"in":[10,25,39,58,76],"many":[11],"applications,":[12],"especially":[13],"photovoltaic":[14],"power":[15],"generation.":[16],"For":[17],"these":[18],"inverters,":[19],"parallel":[20],"operation":[21],"offers":[22],"superior":[23],"performance":[24],"capacity,":[26],"reliability,":[27],"and":[28,46,69,93,126,147,173,180],"scalability.":[29],"However,":[30],"the":[31,44,49,86,102,107,155,159,164,177,183],"introduced":[32,99],"circulating":[33],"current":[34],"(CC)":[35],"may":[36],"cause":[37],"overcurrent":[38],"line,":[40],"which":[41],"seriously":[42],"threatens":[43],"safety":[45],"stability":[47],"of":[48,53,88,122,182],"system.":[50],"The":[51],"mechanism":[52],"CC":[54,71,123,134],"lacks":[55],"detailed":[56,112],"analysis":[57,179],"single-phase":[59,81],"modular":[60],"inverters.":[61,84],"Thus,":[62],"an":[63,94],"accurate":[64],"mathematical":[65,113],"model":[66,114],"is":[67,74,98,115,145,151],"established":[68],"a":[70,111,133,148],"suppression":[72,135],"method":[73,136,161],"proposed":[75,160,184],"this":[77,118],"article":[78],"parallel-operated":[80],"First,":[85],"characteristics":[87],"port":[89],"degradation":[90],"are":[91,124],"analyzed,":[92],"improved":[95,108],"equivalent":[96,109],"circuit":[97],"based":[100],"on":[101],"findings.":[103],"Then,":[104],"according":[105],"to":[106,153],"circuit,":[110],"established.":[116],"Using":[117],"model,":[119],"excitation":[120],"sources":[121],"analyzed":[125],"divided":[127],"into":[128],"three":[129],"parts.":[130],"After":[131],"that,":[132],"involving":[137],"carrier-based":[138],"pulsewidth":[139],"modulation":[140],"with":[141],"offset":[142,156],"voltage":[143,166],"injection":[144],"proposed,":[146],"deadbeat":[149],"controller":[150],"designed":[152],"calculate":[154],"voltage.":[157],"Moreover,":[158],"can":[162],"balance":[163],"neutral-point":[165],"across":[167],"dc-link":[168],"capacitors":[169],"as":[170],"well.":[171],"Simulation":[172],"experimental":[174],"results":[175],"validate":[176],"theoretical":[178],"effectiveness":[181],"scheme.":[185]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}