{"id":"https://openalex.org/W4380303598","doi":"https://doi.org/10.1109/tie.2023.3283688","title":"Fourier-Based Vibration Model of Electrical Machines Considering Nonideal Orthogonality Between Electromagnetic Forces and Structural Modes","display_name":"Fourier-Based Vibration Model of Electrical Machines Considering Nonideal Orthogonality Between Electromagnetic Forces and Structural Modes","publication_year":2023,"publication_date":"2023-06-12","ids":{"openalex":"https://openalex.org/W4380303598","doi":"https://doi.org/10.1109/tie.2023.3283688"},"language":"en","primary_location":{"id":"doi:10.1109/tie.2023.3283688","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2023.3283688","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/A5073549538","display_name":"Hang Yin","orcid":"https://orcid.org/0000-0001-9792-1591"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hang Yin","raw_affiliation_strings":["School of Electrical Engineering, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0001-9792-1591","affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100403937","display_name":"Wei Hua","orcid":"https://orcid.org/0000-0002-2047-9712"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Hua","raw_affiliation_strings":["School of Electrical Engineering, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-2047-9712","affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031663078","display_name":"Zhongze Wu","orcid":"https://orcid.org/0000-0002-4854-0263"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhongze Wu","raw_affiliation_strings":["School of Electrical Engineering, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-4854-0263","affiliations":[{"raw_affiliation_string":"School of Electrical Engineering, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009344062","display_name":"Hengliang Zhang","orcid":"https://orcid.org/0000-0002-6439-5502"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hengliang Zhang","raw_affiliation_strings":["Jiangsu Provincial Key Laboratory of Smart Grid Technology and Equipment, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-6439-5502","affiliations":[{"raw_affiliation_string":"Jiangsu Provincial Key Laboratory of Smart Grid Technology and Equipment, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5073549538"],"corresponding_institution_ids":["https://openalex.org/I76569877"],"apc_list":null,"apc_paid":null,"fwci":1.894,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.85803651,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"71","issue":"5","first_page":"4485","last_page":"4494"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10278","display_name":"Electric Motor Design and Analysis","score":0.9980999827384949,"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":0.9980999827384949,"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/T11602","display_name":"Magnetic Bearings and Levitation Dynamics","score":0.9883000254631042,"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/T11222","display_name":"Magnetic Properties and Applications","score":0.9879999756813049,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/harmonics","display_name":"Harmonics","score":0.7323711514472961},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.7229580879211426},{"id":"https://openalex.org/keywords/orthogonality","display_name":"Orthogonality","score":0.6978185176849365},{"id":"https://openalex.org/keywords/vibration","display_name":"Vibration","score":0.6740045547485352},{"id":"https://openalex.org/keywords/fast-fourier-transform","display_name":"Fast Fourier transform","score":0.672494113445282},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.6126976013183594},{"id":"https://openalex.org/keywords/fourier-series","display_name":"Fourier series","score":0.6037194132804871},{"id":"https://openalex.org/keywords/harmonic-analysis","display_name":"Harmonic analysis","score":0.4519578516483307},{"id":"https://openalex.org/keywords/electromagnetic-field","display_name":"Electromagnetic field","score":0.451452374458313},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.4248514175415039},{"id":"https://openalex.org/keywords/discrete-fourier-transform","display_name":"Discrete Fourier transform (general)","score":0.41935253143310547},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3991358280181885},{"id":"https://openalex.org/keywords/fourier-analysis","display_name":"Fourier analysis","score":0.3670462369918823},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.34855809807777405},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.32261642813682556},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2913578152656555},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2749810218811035},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.27187198400497437},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.254942387342453},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.25174790620803833},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24139681458473206},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.22663384675979614},{"id":"https://openalex.org/keywords/short-time-fourier-transform","display_name":"Short-time Fourier transform","score":0.1782771646976471},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14913251996040344}],"concepts":[{"id":"https://openalex.org/C188414643","wikidata":"https://www.wikidata.org/wiki/Q3001183","display_name":"Harmonics","level":3,"score":0.7323711514472961},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.7229580879211426},{"id":"https://openalex.org/C17137986","wikidata":"https://www.wikidata.org/wiki/Q215067","display_name":"Orthogonality","level":2,"score":0.6978185176849365},{"id":"https://openalex.org/C198394728","wikidata":"https://www.wikidata.org/wiki/Q3695508","display_name":"Vibration","level":2,"score":0.6740045547485352},{"id":"https://openalex.org/C75172450","wikidata":"https://www.wikidata.org/wiki/Q623950","display_name":"Fast Fourier transform","level":2,"score":0.672494113445282},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.6126976013183594},{"id":"https://openalex.org/C207864730","wikidata":"https://www.wikidata.org/wiki/Q179467","display_name":"Fourier series","level":2,"score":0.6037194132804871},{"id":"https://openalex.org/C131770355","wikidata":"https://www.wikidata.org/wiki/Q876215","display_name":"Harmonic analysis","level":2,"score":0.4519578516483307},{"id":"https://openalex.org/C28843909","wikidata":"https://www.wikidata.org/wiki/Q177625","display_name":"Electromagnetic field","level":2,"score":0.451452374458313},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.4248514175415039},{"id":"https://openalex.org/C57733114","wikidata":"https://www.wikidata.org/wiki/Q1006032","display_name":"Discrete Fourier transform (general)","level":5,"score":0.41935253143310547},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3991358280181885},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.3670462369918823},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.34855809807777405},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.32261642813682556},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2913578152656555},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2749810218811035},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.27187198400497437},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.254942387342453},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.25174790620803833},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24139681458473206},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.22663384675979614},{"id":"https://openalex.org/C166386157","wikidata":"https://www.wikidata.org/wiki/Q1477735","display_name":"Short-time Fourier transform","level":4,"score":0.1782771646976471},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14913251996040344},{"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/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tie.2023.3283688","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2023.3283688","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","display_name":"Affordable and clean energy","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W588101407","https://openalex.org/W1562133001","https://openalex.org/W2095648030","https://openalex.org/W2101990077","https://openalex.org/W2107130595","https://openalex.org/W2345460260","https://openalex.org/W2500485151","https://openalex.org/W2728757245","https://openalex.org/W2766786695","https://openalex.org/W2897606680","https://openalex.org/W2900961057","https://openalex.org/W2902432970","https://openalex.org/W3035564800","https://openalex.org/W3107665467","https://openalex.org/W3107868256","https://openalex.org/W3108674057","https://openalex.org/W3164266455","https://openalex.org/W3199669772","https://openalex.org/W4302181261"],"related_works":["https://openalex.org/W2094684004","https://openalex.org/W4224306892","https://openalex.org/W1574935133","https://openalex.org/W2568904611","https://openalex.org/W31830636","https://openalex.org/W2370547058","https://openalex.org/W6842695","https://openalex.org/W4298260447","https://openalex.org/W1990381924","https://openalex.org/W2078960130"],"abstract_inverted_index":{"This":[0],"article":[1],"proposes":[2],"a":[3,50,95],"Fourier-based":[4],"model":[5,53,91,125,156],"of":[6,54,64,103,113,141,153],"vibration":[7,80,118],"synthesis,":[8],"improving":[9],"both":[10,160],"precision":[11],"and":[12,25,31,57,66,145,163],"speed.":[13],"For":[14],"the":[15,18,38,43,46,60,62,79,89,110,117,123,129,151,154],"first":[16],"time,":[17],"nonideal":[19],"orthogonality":[20],"between":[21],"electromagnetic":[22],"(EM)":[23],"forces":[24,56,67,115],"structural":[26],"modes":[27,65],"is":[28,82,92,120,126,157],"theoretically":[29],"proposed":[30,47,90,124,155],"modeled":[32],"by":[33,73,159],"spatial":[34,101],"harmonics.":[35],"Different":[36],"from":[37],"discrete":[39],"vectors":[40,63,105],"used":[41],"in":[42,139],"previous":[44],"literature,":[45],"method":[48],"achieves":[49],"one-dimension":[51],"continuous":[52],"EM":[55,114],"modes.":[58],"On":[59],"basis,":[61],"on":[68,85],"tooth":[69],"surfaces":[70],"are":[71,106,137],"decomposed":[72],"fast":[74],"Fourier":[75,86],"transform,":[76],"so":[77],"that":[78],"response":[81,119],"synthesized":[83],"based":[84],"coefficients.":[87],"Furthermore,":[88],"applied":[93],"to":[94,108,147],"12-slot/10-pole":[96],"interior":[97],"permanent-magnet":[98],"machine.":[99],"The":[100,135],"harmonics":[102],"mode":[104],"elaborated":[107],"identify":[109],"key":[111],"orders":[112],"before":[116],"completed.":[121],"Then,":[122],"compared":[127],"with":[128],"coupled-field":[130,161],"finite":[131],"element":[132],"analysis":[133],"(FEA).":[134],"advantages":[136],"verified":[138,158],"terms":[140],"computational":[142],"accuracy,":[143],"speed,":[144],"sensitivity":[146],"mesh":[148],"quality.":[149],"Finally,":[150],"feasibility":[152],"FEA":[162],"experiment.":[164]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":9},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-08T15:41:06.802602","created_date":"2025-10-10T00:00:00"}
