{"id":"https://openalex.org/W1992132748","doi":"https://doi.org/10.1109/tie.2014.2365758","title":"A Three Degree-of-Freedom Short-Stroke Lorentz-Force-Driven Planar Motor Using a Halbach Permanent Magnet Array with Unequal Thickness","display_name":"A Three Degree-of-Freedom Short-Stroke Lorentz-Force-Driven Planar Motor Using a Halbach Permanent Magnet Array with Unequal Thickness","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1992132748","doi":"https://doi.org/10.1109/tie.2014.2365758","mag":"1992132748"},"language":"en","primary_location":{"id":"doi:10.1109/tie.2014.2365758","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2014.2365758","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/A5101970585","display_name":"He Zhang","orcid":"https://orcid.org/0000-0001-5421-2218"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"He Zhang","raw_affiliation_strings":["Department of Electrical Engineering, Harbin Institute of Technology, Harbin, China","Dept. of Electr. Eng., Harbin Inst. of Technol., Harbin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Harbin Inst. of Technol., Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061681628","display_name":"Baoquan Kou","orcid":"https://orcid.org/0000-0002-6312-7960"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Baoquan Kou","raw_affiliation_strings":["Department of Electrical Engineering, Harbin Institute of Technology, Harbin, China","Dept. of Electr. Eng., Harbin Inst. of Technol., Harbin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Harbin Inst. of Technol., Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023214059","display_name":"Hailin Zhang","orcid":"https://orcid.org/0000-0002-0827-1425"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hailin Zhang","raw_affiliation_strings":["Department of Electrical Engineering, Harbin Institute of Technology, Harbin, China","Dept. of Electr. Eng., Harbin Inst. of Technol., Harbin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Harbin Inst. of Technol., Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007584365","display_name":"Yinxi Jin","orcid":"https://orcid.org/0000-0001-7291-9102"},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yinxi Jin","raw_affiliation_strings":["Department of Electrical Engineering, Harbin Institute of Technology, Harbin, China","Dept. of Electr. Eng., Harbin Inst. of Technol., Harbin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Harbin Institute of Technology, Harbin, China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Harbin Inst. of Technol., Harbin, China","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I204983213"],"apc_list":null,"apc_paid":null,"fwci":2.6815,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.90241885,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"1"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11525","display_name":"Piezoelectric Actuators and Control","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11525","display_name":"Piezoelectric Actuators and Control","score":1.0,"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/T10923","display_name":"Force Microscopy Techniques and Applications","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10369","display_name":"Advanced MEMS and NEMS Technologies","score":0.9955000281333923,"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/lorentz-force","display_name":"Lorentz force","score":0.8704394102096558},{"id":"https://openalex.org/keywords/halbach-array","display_name":"Halbach array","score":0.6997194886207581},{"id":"https://openalex.org/keywords/lorentz-transformation","display_name":"Lorentz transformation","score":0.6301965117454529},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.6111866235733032},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.552703320980072},{"id":"https://openalex.org/keywords/magnet","display_name":"Magnet","score":0.5307263135910034},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.49280884861946106},{"id":"https://openalex.org/keywords/kinematics","display_name":"Kinematics","score":0.4832618832588196},{"id":"https://openalex.org/keywords/force-field","display_name":"Force field (fiction)","score":0.47367244958877563},{"id":"https://openalex.org/keywords/displacement","display_name":"Displacement (psychology)","score":0.46893811225891113},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.39850130677223206},{"id":"https://openalex.org/keywords/classical-mechanics","display_name":"Classical mechanics","score":0.3865768611431122},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33037394285202026},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2640007734298706},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07486093044281006}],"concepts":[{"id":"https://openalex.org/C140190676","wikidata":"https://www.wikidata.org/wiki/Q172137","display_name":"Lorentz force","level":3,"score":0.8704394102096558},{"id":"https://openalex.org/C42283938","wikidata":"https://www.wikidata.org/wiki/Q1465231","display_name":"Halbach array","level":3,"score":0.6997194886207581},{"id":"https://openalex.org/C5667645","wikidata":"https://www.wikidata.org/wiki/Q217255","display_name":"Lorentz transformation","level":2,"score":0.6301965117454529},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.6111866235733032},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.552703320980072},{"id":"https://openalex.org/C16389437","wikidata":"https://www.wikidata.org/wiki/Q11421","display_name":"Magnet","level":2,"score":0.5307263135910034},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.49280884861946106},{"id":"https://openalex.org/C39920418","wikidata":"https://www.wikidata.org/wiki/Q11476","display_name":"Kinematics","level":2,"score":0.4832618832588196},{"id":"https://openalex.org/C10803110","wikidata":"https://www.wikidata.org/wiki/Q1341441","display_name":"Force field (fiction)","level":2,"score":0.47367244958877563},{"id":"https://openalex.org/C107551265","wikidata":"https://www.wikidata.org/wiki/Q1458245","display_name":"Displacement (psychology)","level":2,"score":0.46893811225891113},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.39850130677223206},{"id":"https://openalex.org/C74650414","wikidata":"https://www.wikidata.org/wiki/Q11397","display_name":"Classical mechanics","level":1,"score":0.3865768611431122},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33037394285202026},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2640007734298706},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07486093044281006},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tie.2014.2365758","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2014.2365758","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":0.4399999976158142,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W1980565371","https://openalex.org/W1987791581","https://openalex.org/W2007038995","https://openalex.org/W2020778248","https://openalex.org/W2033965101","https://openalex.org/W2035249801","https://openalex.org/W2036075377","https://openalex.org/W2040726837","https://openalex.org/W2043831937","https://openalex.org/W2056314497","https://openalex.org/W2062441465","https://openalex.org/W2090519327","https://openalex.org/W2094149460","https://openalex.org/W2099179513","https://openalex.org/W2102023741","https://openalex.org/W2103320926","https://openalex.org/W2106979729","https://openalex.org/W2109634453","https://openalex.org/W2109795634","https://openalex.org/W2115047545","https://openalex.org/W2116385233","https://openalex.org/W2120173865","https://openalex.org/W2120815480","https://openalex.org/W2121239314","https://openalex.org/W2125766360","https://openalex.org/W2126235398","https://openalex.org/W2132430691","https://openalex.org/W2137144825","https://openalex.org/W2153849514","https://openalex.org/W2154136217","https://openalex.org/W2161567298","https://openalex.org/W2161848612","https://openalex.org/W2162072843","https://openalex.org/W2162182188","https://openalex.org/W2163294195","https://openalex.org/W2167680182","https://openalex.org/W2169772472","https://openalex.org/W2170841939","https://openalex.org/W2374457551","https://openalex.org/W3152026240","https://openalex.org/W6652143225","https://openalex.org/W6659271723","https://openalex.org/W6685102797"],"related_works":["https://openalex.org/W4307457997","https://openalex.org/W1969637075","https://openalex.org/W1585822586","https://openalex.org/W2621269917","https://openalex.org/W4391422877","https://openalex.org/W3173156448","https://openalex.org/W2122763840","https://openalex.org/W3087981686","https://openalex.org/W1864091257","https://openalex.org/W4385422468"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"a":[3,10,42,106,117],"three-degree-of-freedom":[4],"(3-DOF)":[5],"Lorentz-force-driven":[6,20,85],"planar":[7,15,60,114,121],"motor":[8,16,61,122],"for":[9,112],"nanopositioning":[11],"system.":[12],"The":[13,127],"short-stroke":[14],"consists":[17],"of":[18,58,92,119],"three":[19],"units":[21,86],"equally":[22],"spaced":[23],"by":[24],"120$^{\\circ}":[25],"$around":[26],"the":[27,32,36,52,59,65,75,79,90,102,113,120],"mass":[28],"center.":[29],"To":[30],"increase":[31],"force":[33,37,69,96,99],"and":[34,55,68,78,98,125,138],"decrease":[35],"variation":[38,100],"with":[39,46,134],"horizontal":[40],"displacement,":[41],"Halbach":[43],"permanent-magnet":[44],"array":[45],"unequal":[47],"thickness":[48],"is":[49,110,123],"used.":[50],"First,":[51],"basic":[53],"structure":[54,109],"3-DOF":[56],"kinematics":[57],"are":[62,71,87,130],"introduced.":[63],"Second,":[64],"magnetic":[66,93],"field":[67],"expressions":[70],"derived":[72],"based":[73],"on":[74],"charge":[76],"model":[77],"image":[80],"method.":[81],"Third,":[82],"four":[83],"typical":[84],"compared":[88],"in":[89,131],"aspect":[91],"field,":[94],"force,":[95],"density,":[97],"within":[101],"effective":[103],"stroke.":[104],"Fourth,":[105],"suitable":[107],"cooling":[108],"designed":[111],"motor.":[115],"Finally,":[116],"prototype":[118],"constructed":[124],"tested.":[126],"measured":[128],"values":[129],"good":[132],"agreement":[133],"results":[135],"from":[136],"analysis":[137],"finite":[139],"element":[140],"model.":[141]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":5}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2025-10-10T00:00:00"}
