{"id":"https://openalex.org/W2008722644","doi":"https://doi.org/10.1109/indin.2012.6301365","title":"Force formulation of a three-phase tubular linear machine with dual Halbach array","display_name":"Force formulation of a three-phase tubular linear machine with dual Halbach array","publication_year":2012,"publication_date":"2012-07-01","ids":{"openalex":"https://openalex.org/W2008722644","doi":"https://doi.org/10.1109/indin.2012.6301365","mag":"2008722644"},"language":"en","primary_location":{"id":"doi:10.1109/indin.2012.6301365","is_oa":false,"landing_page_url":"https://doi.org/10.1109/indin.2012.6301365","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE 10th International Conference on Industrial Informatics","raw_type":"proceedings-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/A5100714344","display_name":"Lei Zhang","orcid":"https://orcid.org/0000-0002-9035-0391"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lei Zhang","raw_affiliation_strings":["School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","School of Automation Science and Electrical Engineering, Beihang University Beijing, China 100191"],"affiliations":[{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beihang University Beijing, China 100191","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100772253","display_name":"Liang Yan","orcid":"https://orcid.org/0000-0001-9099-240X"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liang Yan","raw_affiliation_strings":["School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","School of Automation Science and Electrical Engineering, Beihang University Beijing, China 100191"],"affiliations":[{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beihang University Beijing, China 100191","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063176620","display_name":"Nan Yao","orcid":"https://orcid.org/0009-0006-1713-244X"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Nan Yao","raw_affiliation_strings":["School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","School of Automation Science and Electrical Engineering, Beihang University Beijing, China 100191"],"affiliations":[{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beihang University Beijing, China 100191","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100399640","display_name":"Tianyi Wang","orcid":"https://orcid.org/0000-0002-9419-5800"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tianyi Wang","raw_affiliation_strings":["School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","School of Automation Science and Electrical Engineering, Beihang University Beijing, China 100191"],"affiliations":[{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beihang University Beijing, China 100191","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100317589","display_name":"Zongxia Jiao","orcid":"https://orcid.org/0000-0002-2395-2165"},"institutions":[{"id":"https://openalex.org/I82880672","display_name":"Beihang University","ror":"https://ror.org/00wk2mp56","country_code":"CN","type":"education","lineage":["https://openalex.org/I82880672"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zongxia Jiao","raw_affiliation_strings":["School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","School of Automation Science and Electrical Engineering, Beihang University Beijing, China 100191"],"affiliations":[{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beihang University, Beijing, China","institution_ids":["https://openalex.org/I82880672"]},{"raw_affiliation_string":"School of Automation Science and Electrical Engineering, Beihang University Beijing, China 100191","institution_ids":["https://openalex.org/I82880672"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046605612","display_name":"I\u2010Ming Chen","orcid":"https://orcid.org/0000-0002-4831-3781"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"I-Ming Chen","raw_affiliation_strings":["School of Mechanical and AeroSpace Engineering, Nanyang Technological University, Singapore","School of Mechanical and Aerospace Engineering, Nanyang Technological University Singapore 639798"],"affiliations":[{"raw_affiliation_string":"School of Mechanical and AeroSpace Engineering, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"School of Mechanical and Aerospace Engineering, Nanyang Technological University Singapore 639798","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5100714344"],"corresponding_institution_ids":["https://openalex.org/I82880672"],"apc_list":null,"apc_paid":null,"fwci":0.4969,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.67420908,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"160","issue":null,"first_page":"647","last_page":"652"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10278","display_name":"Electric Motor Design and Analysis","score":0.9994999766349792,"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":0.9994999766349792,"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/T12206","display_name":"Vibration and Dynamic Analysis","score":0.9907000064849854,"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/T11602","display_name":"Magnetic Bearings and Levitation Dynamics","score":0.9836000204086304,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/halbach-array","display_name":"Halbach array","score":0.6811434030532837},{"id":"https://openalex.org/keywords/lorentz-force","display_name":"Lorentz force","score":0.6675941348075867},{"id":"https://openalex.org/keywords/position","display_name":"Position (finance)","score":0.5837711691856384},{"id":"https://openalex.org/keywords/force-density","display_name":"Force density","score":0.5832991003990173},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.5130554437637329},{"id":"https://openalex.org/keywords/ripple","display_name":"Ripple","score":0.4506908655166626},{"id":"https://openalex.org/keywords/finite-element-method","display_name":"Finite element method","score":0.4502068758010864},{"id":"https://openalex.org/keywords/linear-motor","display_name":"Linear motor","score":0.4460502564907074},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37738850712776184},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.34036785364151},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.33345258235931396},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.19059601426124573},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.18601098656654358},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.18522894382476807},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07756495475769043}],"concepts":[{"id":"https://openalex.org/C42283938","wikidata":"https://www.wikidata.org/wiki/Q1465231","display_name":"Halbach array","level":3,"score":0.6811434030532837},{"id":"https://openalex.org/C140190676","wikidata":"https://www.wikidata.org/wiki/Q172137","display_name":"Lorentz force","level":3,"score":0.6675941348075867},{"id":"https://openalex.org/C198082294","wikidata":"https://www.wikidata.org/wiki/Q3399648","display_name":"Position (finance)","level":2,"score":0.5837711691856384},{"id":"https://openalex.org/C3767888","wikidata":"https://www.wikidata.org/wiki/Q4117184","display_name":"Force density","level":2,"score":0.5832991003990173},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.5130554437637329},{"id":"https://openalex.org/C2779599953","wikidata":"https://www.wikidata.org/wiki/Q1776117","display_name":"Ripple","level":3,"score":0.4506908655166626},{"id":"https://openalex.org/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.4502068758010864},{"id":"https://openalex.org/C46150780","wikidata":"https://www.wikidata.org/wiki/Q1164566","display_name":"Linear motor","level":2,"score":0.4460502564907074},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37738850712776184},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.34036785364151},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.33345258235931396},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.19059601426124573},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.18601098656654358},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.18522894382476807},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07756495475769043},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/indin.2012.6301365","is_oa":false,"landing_page_url":"https://doi.org/10.1109/indin.2012.6301365","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE 10th International Conference on Industrial Informatics","raw_type":"proceedings-article"},{"id":"pmh:oai:dr.ntu.edu.sg:10356/101699","is_oa":false,"landing_page_url":"https://hdl.handle.net/10356/101699","pdf_url":null,"source":{"id":"https://openalex.org/S4306402609","display_name":"DR-NTU (Nanyang Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172675005","host_organization_name":"Nanyang Technological University","host_organization_lineage":["https://openalex.org/I172675005"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.49000000953674316,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320323430","display_name":"Central University of Technology","ror":"https://ror.org/033z08192"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1970880784","https://openalex.org/W1981675915","https://openalex.org/W1985657439","https://openalex.org/W1988555438","https://openalex.org/W2029540065","https://openalex.org/W2055812753","https://openalex.org/W2091647418","https://openalex.org/W2096913508","https://openalex.org/W2098238569","https://openalex.org/W2100581097","https://openalex.org/W2112941182","https://openalex.org/W2116991312","https://openalex.org/W2126497838","https://openalex.org/W2132447802","https://openalex.org/W2153727645","https://openalex.org/W2153846216","https://openalex.org/W2159781618","https://openalex.org/W2160168734","https://openalex.org/W6675419126","https://openalex.org/W6677367677"],"related_works":["https://openalex.org/W2349808055","https://openalex.org/W2381933213","https://openalex.org/W2905882243","https://openalex.org/W2195971446","https://openalex.org/W2021548147","https://openalex.org/W3128715994","https://openalex.org/W2244078599","https://openalex.org/W4386562562","https://openalex.org/W3096983151","https://openalex.org/W1907719587"],"abstract_inverted_index":{"A":[0],"novel":[1],"dual":[2],"Halbach":[3],"array":[4],"is":[5,27,46,60,70,109],"proposed":[6,167],"in":[7,23],"this":[8],"paper":[9],"to":[10,89,129,156,175],"increase":[11],"the":[12,35,63,78,90,94,98,102,106,130,153,158,162,177,180,184],"output":[13,39,80,104,159,186],"performance":[14,160],"of":[15,37,57,66,93,105,119,152,161,179,187],"tubular":[16,75,163],"linear":[17,41,76,107,164,188],"machines.":[18,165],"The":[19,54,122,144,166],"magnetic":[20],"field":[21],"distribution":[22],"three-dimensional":[24],"(3D)":[25],"space":[26],"formulated":[28,110],"with":[29,43,127,137,190],"Bessel":[30],"functions":[31],"analytically.":[32],"Following":[33],"that,":[34],"modeling":[36],"force":[38,52,58,79,82,103,169,185],"for":[40,73,111],"machines":[42,189],"three-phase":[44],"windings":[45],"carried":[47],"out":[48],"based":[49],"on":[50,183],"Lorentz":[51],"law.":[53],"formula":[55],"component":[56],"ripple":[59,83],"separated":[61],"from":[62,140],"analytical":[64,168],"expression":[65],"total":[67],"force.":[68],"It":[69],"found":[71],"that":[72,147],"multi-phase":[74],"machines,":[77],"and":[81],"are":[84,125,134],"not":[85],"only":[86],"closely":[87],"related":[88],"instantaneous":[91],"position":[92,151],"mover,":[95],"but":[96],"also":[97,135,172],"starting":[99,114,150],"position.":[100],"Therefore,":[101],"machine":[108],"three":[112],"typical":[113],"positions":[115],"as":[116],"a":[117],"function":[118],"mover":[120,154],"positions.":[121],"derived":[123],"models":[124],"simulated":[126],"respect":[128],"mover's":[131],"motion.":[132],"They":[133],"validated":[136],"numerical":[138],"results":[139],"finite":[141],"element":[142],"calculation.":[143],"study":[145],"shows":[146],"an":[148],"appropriate":[149],"helps":[155],"improve":[157],"model":[170],"can":[171],"be":[173],"employed":[174],"analyze":[176],"influence":[178],"structure":[181],"parameters":[182],"similar":[191],"structures.":[192]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}