{"id":"https://openalex.org/W3010700928","doi":"https://doi.org/10.1109/access.2020.2980247","title":"Control Strategy for Four-Leg Nine-Switch Inverter Under Unbalanced Loads","display_name":"Control Strategy for Four-Leg Nine-Switch Inverter Under Unbalanced Loads","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3010700928","doi":"https://doi.org/10.1109/access.2020.2980247","mag":"3010700928"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.2980247","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2980247","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09033977.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09033977.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5084087682","display_name":"Rutian Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I179060312","display_name":"Northeast Electric Power University","ror":"https://ror.org/00zqaxa34","country_code":"CN","type":"education","lineage":["https://openalex.org/I179060312"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Rutian Wang","raw_affiliation_strings":["Key Laboratory of Modern Power System Simulation and Control and Renewable Energy Technology, Ministry of Education, Northeast Electric Power University, Jilin City, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Modern Power System Simulation and Control and Renewable Energy Technology, Ministry of Education, Northeast Electric Power University, Jilin City, China","institution_ids":["https://openalex.org/I179060312"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029384881","display_name":"Chaochao Li","orcid":"https://orcid.org/0000-0001-9694-832X"},"institutions":[{"id":"https://openalex.org/I179060312","display_name":"Northeast Electric Power University","ror":"https://ror.org/00zqaxa34","country_code":"CN","type":"education","lineage":["https://openalex.org/I179060312"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chaochao Li","raw_affiliation_strings":["Key Laboratory of Modern Power System Simulation and Control and Renewable Energy Technology, Ministry of Education, Northeast Electric Power University, Jilin City, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Modern Power System Simulation and Control and Renewable Energy Technology, Ministry of Education, Northeast Electric Power University, Jilin City, China","institution_ids":["https://openalex.org/I179060312"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100326622","display_name":"Chuang Liu","orcid":"https://orcid.org/0000-0003-3745-1051"},"institutions":[{"id":"https://openalex.org/I179060312","display_name":"Northeast Electric Power University","ror":"https://ror.org/00zqaxa34","country_code":"CN","type":"education","lineage":["https://openalex.org/I179060312"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chuang Liu","raw_affiliation_strings":["Key Laboratory of Modern Power System Simulation and Control and Renewable Energy Technology, Ministry of Education, Northeast Electric Power University, Jilin City, China"],"affiliations":[{"raw_affiliation_string":"Key Laboratory of Modern Power System Simulation and Control and Renewable Energy Technology, Ministry of Education, Northeast Electric Power University, Jilin City, China","institution_ids":["https://openalex.org/I179060312"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110461621","display_name":"Chongyi Lu","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chongyi Lu","raw_affiliation_strings":["Dandong Power Supply Company, State Grid Liaoning Electric Power Company, Ltd., Dandong, China"],"affiliations":[{"raw_affiliation_string":"Dandong Power Supply Company, State Grid Liaoning Electric Power Company, Ltd., Dandong, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102015884","display_name":"Weiquan Wang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Weiquan Wang","raw_affiliation_strings":["Dandong Power Supply Company, State Grid Liaoning Electric Power Company, Ltd., Dandong, China"],"affiliations":[{"raw_affiliation_string":"Dandong Power Supply Company, State Grid Liaoning Electric Power Company, Ltd., Dandong, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5084087682"],"corresponding_institution_ids":["https://openalex.org/I179060312"],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.7281,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.69819444,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"8","issue":null,"first_page":"50377","last_page":"50389"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10228","display_name":"Multilevel Inverters and Converters","score":1.0,"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":1.0,"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":0.9957000017166138,"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":0.9943000078201294,"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/duty-cycle","display_name":"Duty cycle","score":0.7773749828338623},{"id":"https://openalex.org/keywords/inverter","display_name":"Inverter","score":0.7613644003868103},{"id":"https://openalex.org/keywords/pulse-width-modulation","display_name":"Pulse-width modulation","score":0.724220871925354},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.720387876033783},{"id":"https://openalex.org/keywords/modulation","display_name":"Modulation (music)","score":0.6383448839187622},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.6336303353309631},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.5497668981552124},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5011615753173828},{"id":"https://openalex.org/keywords/trigonometric-functions","display_name":"Trigonometric functions","score":0.4793035089969635},{"id":"https://openalex.org/keywords/phase","display_name":"Phase (matter)","score":0.45805561542510986},{"id":"https://openalex.org/keywords/space-vector-modulation","display_name":"Space vector modulation","score":0.4151049256324768},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37064018845558167},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3500344157218933},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3401465117931366},{"id":"https://openalex.org/keywords/control","display_name":"Control (management)","score":0.22805610299110413},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.20816239714622498},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.17299669981002808},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.12181413173675537},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07237279415130615}],"concepts":[{"id":"https://openalex.org/C199822604","wikidata":"https://www.wikidata.org/wiki/Q557120","display_name":"Duty cycle","level":3,"score":0.7773749828338623},{"id":"https://openalex.org/C11190779","wikidata":"https://www.wikidata.org/wiki/Q664575","display_name":"Inverter","level":3,"score":0.7613644003868103},{"id":"https://openalex.org/C92746544","wikidata":"https://www.wikidata.org/wiki/Q585184","display_name":"Pulse-width modulation","level":3,"score":0.724220871925354},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.720387876033783},{"id":"https://openalex.org/C123079801","wikidata":"https://www.wikidata.org/wiki/Q750240","display_name":"Modulation (music)","level":2,"score":0.6383448839187622},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.6336303353309631},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.5497668981552124},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5011615753173828},{"id":"https://openalex.org/C178009071","wikidata":"https://www.wikidata.org/wiki/Q93344","display_name":"Trigonometric functions","level":2,"score":0.4793035089969635},{"id":"https://openalex.org/C44280652","wikidata":"https://www.wikidata.org/wiki/Q104837","display_name":"Phase (matter)","level":2,"score":0.45805561542510986},{"id":"https://openalex.org/C57917881","wikidata":"https://www.wikidata.org/wiki/Q2603102","display_name":"Space vector modulation","level":4,"score":0.4151049256324768},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37064018845558167},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3500344157218933},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3401465117931366},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.22805610299110413},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.20816239714622498},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.17299669981002808},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.12181413173675537},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07237279415130615},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2020.2980247","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2980247","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09033977.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:ee7948b65b0b4d07affd2315bdbdc463","is_oa":true,"landing_page_url":"https://doaj.org/article/ee7948b65b0b4d07affd2315bdbdc463","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 8, Pp 50377-50389 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.2980247","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.2980247","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09033977.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5899999737739563,"display_name":"Affordable and clean energy","id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G1231421488","display_name":null,"funder_award_id":"under","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2087396116","display_name":null,"funder_award_id":"China","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3317480652","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3688926807","display_name":null,"funder_award_id":"51877035","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G37568934","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5994120800","display_name":null,"funder_award_id":"Natural","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":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3010700928.pdf","grobid_xml":"https://content.openalex.org/works/W3010700928.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W1909314895","https://openalex.org/W1984335665","https://openalex.org/W2001515100","https://openalex.org/W2046029832","https://openalex.org/W2053425717","https://openalex.org/W2073535276","https://openalex.org/W2074296197","https://openalex.org/W2084118989","https://openalex.org/W2086842669","https://openalex.org/W2092989350","https://openalex.org/W2109084495","https://openalex.org/W2163418218","https://openalex.org/W2168670807","https://openalex.org/W2170289715","https://openalex.org/W2338936404","https://openalex.org/W2500072999","https://openalex.org/W2533280599","https://openalex.org/W2537846764","https://openalex.org/W2585764660","https://openalex.org/W2734619938","https://openalex.org/W2768418381","https://openalex.org/W2898238332","https://openalex.org/W2970884019","https://openalex.org/W2980199921","https://openalex.org/W6729138924"],"related_works":["https://openalex.org/W1918404916","https://openalex.org/W2943183667","https://openalex.org/W4301864333","https://openalex.org/W2357924899","https://openalex.org/W2392249189","https://openalex.org/W4200598596","https://openalex.org/W2036463713","https://openalex.org/W4292070332","https://openalex.org/W1598069005","https://openalex.org/W2913124952"],"abstract_inverted_index":{"On":[0],"account":[1],"of":[2,26,60,66,72,109,113,123,146,170,176,179],"that":[3],"nine-switch":[4,33],"inverter":[5,34],"(NSI)":[6],"cannot":[7],"supply":[8],"symmetrical":[9,84,148],"voltages":[10,39,85,138,150],"to":[11,22,119,166,174],"unbalanced":[12,41,87,158],"loads,":[13,28,88],"based":[14],"on":[15],"the":[16,23,27,57,64,107,114,126,135,161,168,177,180],"NSI,":[17],"N-phase":[18,61],"leg":[19],"is":[20,104],"added":[21],"neutral":[24,37,136],"points":[25],"which":[29,132],"forms":[30],"a":[31,130],"four-leg":[32],"(FLNSI).":[35],"The":[36,97],"point":[38,137],"under":[40,153],"loads":[42,156],"are":[43,117,151,164],"analysed":[44],"and":[45,94,157,173],"derived":[46],"by":[47],"space":[48],"vector":[49],"pulse":[50,99],"width":[51,100],"modulation":[52,101,121,127,182],"(SVPWM)":[53],"strategy":[54,103],"for":[55,86,106],"calculating":[56],"duty":[58,70,115],"ratio":[59],"leg.":[62],"While":[63],"calculations":[65],"other":[67],"three-phase":[68,147],"legs":[69],"ratios":[71,116],"SVPWM":[73,78],"method":[74,79],"remain":[75],"unchanged.":[76],"Although":[77],"can":[80,133],"realize":[81],"FLNSI":[82,171],"outputs":[83],"it":[89],"needs":[90],"trigonometric":[91],"function":[92],"calculation":[93],"sector":[95],"judgements.":[96],"carrier-based":[98],"(CBPWM)":[102],"proposed":[105],"sake":[108],"simplifying":[110],"SVPWM.":[111],"All":[112],"used":[118],"calculate":[120],"waves":[122,128],"FLNSI.":[124],"Compare":[125],"with":[129],"carrier,":[131],"control":[134],"as":[139],"corresponding":[140],"zero-sequence":[141],"voltages.":[142],"Therefore,":[143],"two":[144],"groups":[145],"sinusoidal":[149],"obtained":[152],"both":[154],"balanced":[155],"loads.":[159],"Finally,":[160],"experimental":[162],"results":[163],"given":[165],"show":[167],"advantages":[169],"topology":[172],"validate":[175],"effectiveness":[178],"applied":[181],"strategy.":[183]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-04-18T07:56:08.524223","created_date":"2025-10-10T00:00:00"}