{"id":"https://openalex.org/W4285117747","doi":"https://doi.org/10.1109/tie.2022.3183338","title":"Fast Calculation of Strand Eddy Current Loss in Inverter-Fed Electrical Machines","display_name":"Fast Calculation of Strand Eddy Current Loss in Inverter-Fed Electrical Machines","publication_year":2022,"publication_date":"2022-06-21","ids":{"openalex":"https://openalex.org/W4285117747","doi":"https://doi.org/10.1109/tie.2022.3183338"},"language":"en","primary_location":{"id":"doi:10.1109/tie.2022.3183338","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2022.3183338","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/A5034460646","display_name":"Xinggang Fan","orcid":"https://orcid.org/0000-0001-9475-429X"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinggang Fan","raw_affiliation_strings":["State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0001-9475-429X","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100324961","display_name":"Dawei Li","orcid":"https://orcid.org/0000-0002-9048-5229"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dawei Li","raw_affiliation_strings":["State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0002-9048-5229","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008978637","display_name":"Wubin Kong","orcid":"https://orcid.org/0000-0001-9377-6884"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wubin Kong","raw_affiliation_strings":["State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0001-9377-6884","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065047415","display_name":"Longfei Cao","orcid":"https://orcid.org/0000-0001-6832-4886"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Longfei Cao","raw_affiliation_strings":["State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0001-6832-4886","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050373298","display_name":"Ronghai Qu","orcid":"https://orcid.org/0000-0001-6375-0990"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ronghai Qu","raw_affiliation_strings":["State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0001-6375-0990","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Advanced Electromagnetic Engineering and Technology, School of Electrical and Electronic Engineering, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053892414","display_name":"Zhouping Yin","orcid":"https://orcid.org/0000-0001-5766-2337"},"institutions":[{"id":"https://openalex.org/I47720641","display_name":"Huazhong University of Science and Technology","ror":"https://ror.org/00p991c53","country_code":"CN","type":"education","lineage":["https://openalex.org/I47720641"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhouping Yin","raw_affiliation_strings":["State Key Laboratory of Digital Manufacturing Equipment and Technology, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, China"],"raw_orcid":"https://orcid.org/0000-0001-5766-2337","affiliations":[{"raw_affiliation_string":"State Key Laboratory of Digital Manufacturing Equipment and Technology, School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan, China","institution_ids":["https://openalex.org/I47720641"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I47720641"],"apc_list":null,"apc_paid":null,"fwci":1.7134,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.83809958,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":"70","issue":"5","first_page":"4640","last_page":"4650"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10278","display_name":"Electric Motor Design and Analysis","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/T10278","display_name":"Electric Motor Design and Analysis","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/T11222","display_name":"Magnetic Properties and Applications","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12898","display_name":"Induction Heating and Inverter Technology","score":0.995199978351593,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/eddy-current","display_name":"Eddy current","score":0.8429065942764282},{"id":"https://openalex.org/keywords/leakage","display_name":"Leakage (economics)","score":0.6707091331481934},{"id":"https://openalex.org/keywords/harmonics","display_name":"Harmonics","score":0.6172217726707458},{"id":"https://openalex.org/keywords/inverter","display_name":"Inverter","score":0.5517827272415161},{"id":"https://openalex.org/keywords/pulse-width-modulation","display_name":"Pulse-width modulation","score":0.541513979434967},{"id":"https://openalex.org/keywords/electromagnetic-coil","display_name":"Electromagnetic coil","score":0.5353932976722717},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.5099793672561646},{"id":"https://openalex.org/keywords/conductor","display_name":"Conductor","score":0.49092820286750793},{"id":"https://openalex.org/keywords/magnetic-flux-leakage","display_name":"Magnetic flux leakage","score":0.48683565855026245},{"id":"https://openalex.org/keywords/mechanics","display_name":"Mechanics","score":0.47591596841812134},{"id":"https://openalex.org/keywords/harmonic-analysis","display_name":"Harmonic analysis","score":0.4452739357948303},{"id":"https://openalex.org/keywords/magnet","display_name":"Magnet","score":0.4379028379917145},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.43390440940856934},{"id":"https://openalex.org/keywords/skin-effect","display_name":"Skin effect","score":0.4243674874305725},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.4203265309333801},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.41074612736701965},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.3897515833377838},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.3829546570777893},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.37969595193862915},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.33104944229125977},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.29960405826568604},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22134676575660706}],"concepts":[{"id":"https://openalex.org/C131357438","wikidata":"https://www.wikidata.org/wiki/Q208598","display_name":"Eddy current","level":2,"score":0.8429065942764282},{"id":"https://openalex.org/C2777042071","wikidata":"https://www.wikidata.org/wiki/Q6509304","display_name":"Leakage (economics)","level":2,"score":0.6707091331481934},{"id":"https://openalex.org/C188414643","wikidata":"https://www.wikidata.org/wiki/Q3001183","display_name":"Harmonics","level":3,"score":0.6172217726707458},{"id":"https://openalex.org/C11190779","wikidata":"https://www.wikidata.org/wiki/Q664575","display_name":"Inverter","level":3,"score":0.5517827272415161},{"id":"https://openalex.org/C92746544","wikidata":"https://www.wikidata.org/wiki/Q585184","display_name":"Pulse-width modulation","level":3,"score":0.541513979434967},{"id":"https://openalex.org/C30403606","wikidata":"https://www.wikidata.org/wiki/Q2981904","display_name":"Electromagnetic coil","level":2,"score":0.5353932976722717},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.5099793672561646},{"id":"https://openalex.org/C34800285","wikidata":"https://www.wikidata.org/wiki/Q5159395","display_name":"Conductor","level":2,"score":0.49092820286750793},{"id":"https://openalex.org/C20892748","wikidata":"https://www.wikidata.org/wiki/Q4390394","display_name":"Magnetic flux leakage","level":3,"score":0.48683565855026245},{"id":"https://openalex.org/C57879066","wikidata":"https://www.wikidata.org/wiki/Q41217","display_name":"Mechanics","level":1,"score":0.47591596841812134},{"id":"https://openalex.org/C131770355","wikidata":"https://www.wikidata.org/wiki/Q876215","display_name":"Harmonic analysis","level":2,"score":0.4452739357948303},{"id":"https://openalex.org/C16389437","wikidata":"https://www.wikidata.org/wiki/Q11421","display_name":"Magnet","level":2,"score":0.4379028379917145},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.43390440940856934},{"id":"https://openalex.org/C151482245","wikidata":"https://www.wikidata.org/wiki/Q664150","display_name":"Skin effect","level":2,"score":0.4243674874305725},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.4203265309333801},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.41074612736701965},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.3897515833377838},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.3829546570777893},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.37969595193862915},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.33104944229125977},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.29960405826568604},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22134676575660706},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","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},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tie.2022.3183338","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2022.3183338","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":[{"display_name":"Affordable and clean energy","score":0.800000011920929,"id":"https://metadata.un.org/sdg/7"}],"awards":[{"id":"https://openalex.org/G204775760","display_name":null,"funder_award_id":"52007069","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":34,"referenced_works":["https://openalex.org/W1971545861","https://openalex.org/W1986197036","https://openalex.org/W1987941064","https://openalex.org/W1999518911","https://openalex.org/W2033807469","https://openalex.org/W2140540762","https://openalex.org/W2149142972","https://openalex.org/W2149521553","https://openalex.org/W2278319970","https://openalex.org/W2342761071","https://openalex.org/W2588490397","https://openalex.org/W2623623075","https://openalex.org/W2747756770","https://openalex.org/W2762739739","https://openalex.org/W2769466456","https://openalex.org/W2773936238","https://openalex.org/W2806264464","https://openalex.org/W2808449977","https://openalex.org/W2855931038","https://openalex.org/W2916759353","https://openalex.org/W2922278225","https://openalex.org/W2934982852","https://openalex.org/W2966740535","https://openalex.org/W2972583663","https://openalex.org/W3001384444","https://openalex.org/W3042155281","https://openalex.org/W3091928203","https://openalex.org/W3097622617","https://openalex.org/W3108341134","https://openalex.org/W3108819594","https://openalex.org/W3136870934","https://openalex.org/W3138053265","https://openalex.org/W3157691367","https://openalex.org/W3167663483"],"related_works":["https://openalex.org/W3028579867","https://openalex.org/W3216764499","https://openalex.org/W2166774782","https://openalex.org/W2180099605","https://openalex.org/W2006436724","https://openalex.org/W2027962604","https://openalex.org/W2489123409","https://openalex.org/W2290610200","https://openalex.org/W2122970199","https://openalex.org/W2336473885"],"abstract_inverted_index":{"This":[0],"article":[1],"investigates":[2],"the":[3,10,24,28,39,48,58,73,101,110,116,129,138],"complex":[4],"slot":[5,40,74,112],"leakage":[6,41,75,113,133],"magnetic":[7,25,42,117],"field":[8,76,114,134],"and":[9,27,44,86,100,132,147,170,181],"strand":[11,63],"eddy":[12,49,64,91,139],"current":[13,50,65,92,140],"loss":[14,66,93],"in":[15],"windings":[16],"of":[17],"inverter-fed":[18],"electrical":[19],"machines.":[20],"It":[21,165],"shows":[22,166],"that":[23],"saturation":[26,118],"pulsewidth":[29],"modulation":[30],"(PWM)":[31],"harmonics":[32],"could":[33],"have":[34],"a":[35,61,79,87,121,151,159],"significant":[36],"influence":[37,47],"on":[38,72,150],"field,":[43],"thus":[45],"may":[46],"loss.":[51,141],"To":[52],"consider":[53],"these":[54],"effects":[55],"while":[56],"reducing":[57],"computation":[59],"burden,":[60],"semianalytical":[62],"calculation":[67,77,168,172],"method":[68,84,99,144],"is":[69,125,145,175],"proposed":[70,143],"based":[71],"by":[78,158],"two-dimensional":[80],"(2-D)":[81],"magnetostatic":[82],"finite-element":[83],"(FEM)":[85],"2-D":[88],"analytical":[89],"high-frequency":[90],"expression.":[94],"The":[95,142],"frozen":[96],"differential":[97],"permeability":[98],"linear":[102],"time-harmonics":[103],"FEM":[104],"are":[105],"used":[106,126],"to":[107,127],"fast":[108,171],"calculate":[109],"PWM-induced":[111],"with":[115],"considered.":[119],"Besides,":[120],"conductor":[122,130],"position":[123],"model":[124],"extract":[128],"coordinates":[131],"information":[135],"for":[136,162,177],"calculating":[137],"implemented":[146],"experimentally":[148],"validated":[149],"surface-mounted":[152],"permanent":[153],"magnet":[154],"electromechanical":[155],"actuator":[156],"fed":[157],"PWM":[160],"inverter":[161],"aircraft":[163],"application.":[164],"high":[167],"accuracy":[169],"speed,":[173],"which":[174],"suitable":[176],"motor-inverter":[178],"system":[179],"design":[180],"optimization.":[182]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":4}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}