{"id":"https://openalex.org/W2603767074","doi":"https://doi.org/10.1109/tie.2017.2686302","title":"Effects of the Winding Cross-Section Shape on the Magnetic Field Uniformity of the High Field Circular Helmholtz Coil Systems","display_name":"Effects of the Winding Cross-Section Shape on the Magnetic Field Uniformity of the High Field Circular Helmholtz Coil Systems","publication_year":2017,"publication_date":"2017-03-23","ids":{"openalex":"https://openalex.org/W2603767074","doi":"https://doi.org/10.1109/tie.2017.2686302","mag":"2603767074"},"language":"en","primary_location":{"id":"doi:10.1109/tie.2017.2686302","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2017.2686302","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/A5041757486","display_name":"Reza Beiranvand","orcid":"https://orcid.org/0000-0002-3214-7563"},"institutions":[{"id":"https://openalex.org/I1516879","display_name":"Tarbiat Modares University","ror":"https://ror.org/03mwgfy56","country_code":"IR","type":"education","lineage":["https://openalex.org/I1516879"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"Reza Beiranvand","raw_affiliation_strings":["Electrical and Computer Engineering Department, University of Tarbiat Modares, Tehran, Iran"],"affiliations":[{"raw_affiliation_string":"Electrical and Computer Engineering Department, University of Tarbiat Modares, Tehran, Iran","institution_ids":["https://openalex.org/I1516879"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5041757486"],"corresponding_institution_ids":["https://openalex.org/I1516879"],"apc_list":null,"apc_paid":null,"fwci":2.2935,"has_fulltext":false,"cited_by_count":49,"citation_normalized_percentile":{"value":0.88865547,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"64","issue":"9","first_page":"7120","last_page":"7131"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11249","display_name":"Wireless Power Transfer Systems","score":0.9972000122070312,"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/T11249","display_name":"Wireless Power Transfer Systems","score":0.9972000122070312,"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/T11486","display_name":"Micro and Nano Robotics","score":0.9855999946594238,"subfield":{"id":"https://openalex.org/subfields/3104","display_name":"Condensed Matter Physics"},"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/T11392","display_name":"Energy Harvesting in Wireless Networks","score":0.9854000210762024,"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/helmholtz-coil","display_name":"Helmholtz coil","score":0.8810310363769531},{"id":"https://openalex.org/keywords/electromagnetic-coil","display_name":"Electromagnetic coil","score":0.7901704907417297},{"id":"https://openalex.org/keywords/solenoid","display_name":"Solenoid","score":0.7020385265350342},{"id":"https://openalex.org/keywords/magnetic-field","display_name":"Magnetic field","score":0.6934443712234497},{"id":"https://openalex.org/keywords/conductor","display_name":"Conductor","score":0.5904116630554199},{"id":"https://openalex.org/keywords/helmholtz-free-energy","display_name":"Helmholtz free energy","score":0.544044017791748},{"id":"https://openalex.org/keywords/electromagnet","display_name":"Electromagnet","score":0.5152443051338196},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.49442577362060547},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4673514664173126},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.43308189511299133},{"id":"https://openalex.org/keywords/magnet","display_name":"Magnet","score":0.42107588052749634},{"id":"https://openalex.org/keywords/field-coil","display_name":"Field coil","score":0.4201297461986542},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.35711485147476196},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.31301379203796387},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.21856528520584106},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1564723253250122}],"concepts":[{"id":"https://openalex.org/C2778252132","wikidata":"https://www.wikidata.org/wiki/Q1603273","display_name":"Helmholtz coil","level":3,"score":0.8810310363769531},{"id":"https://openalex.org/C30403606","wikidata":"https://www.wikidata.org/wiki/Q2981904","display_name":"Electromagnetic coil","level":2,"score":0.7901704907417297},{"id":"https://openalex.org/C192144188","wikidata":"https://www.wikidata.org/wiki/Q245739","display_name":"Solenoid","level":2,"score":0.7020385265350342},{"id":"https://openalex.org/C115260700","wikidata":"https://www.wikidata.org/wiki/Q11408","display_name":"Magnetic field","level":2,"score":0.6934443712234497},{"id":"https://openalex.org/C34800285","wikidata":"https://www.wikidata.org/wiki/Q5159395","display_name":"Conductor","level":2,"score":0.5904116630554199},{"id":"https://openalex.org/C27592594","wikidata":"https://www.wikidata.org/wiki/Q865821","display_name":"Helmholtz free energy","level":2,"score":0.544044017791748},{"id":"https://openalex.org/C106997767","wikidata":"https://www.wikidata.org/wiki/Q178032","display_name":"Electromagnet","level":3,"score":0.5152443051338196},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.49442577362060547},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4673514664173126},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.43308189511299133},{"id":"https://openalex.org/C16389437","wikidata":"https://www.wikidata.org/wiki/Q11421","display_name":"Magnet","level":2,"score":0.42107588052749634},{"id":"https://openalex.org/C124162555","wikidata":"https://www.wikidata.org/wiki/Q5446978","display_name":"Field coil","level":3,"score":0.4201297461986542},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.35711485147476196},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.31301379203796387},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.21856528520584106},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1564723253250122},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tie.2017.2686302","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2017.2686302","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W6398401","https://openalex.org/W206008317","https://openalex.org/W223570703","https://openalex.org/W1531733599","https://openalex.org/W1587441778","https://openalex.org/W1969674842","https://openalex.org/W1978815555","https://openalex.org/W1984677011","https://openalex.org/W1986011538","https://openalex.org/W1993391149","https://openalex.org/W1994965181","https://openalex.org/W1999801425","https://openalex.org/W2001222611","https://openalex.org/W2002351889","https://openalex.org/W2004195329","https://openalex.org/W2008706439","https://openalex.org/W2018039395","https://openalex.org/W2018286493","https://openalex.org/W2021760970","https://openalex.org/W2024830869","https://openalex.org/W2025295500","https://openalex.org/W2025659489","https://openalex.org/W2027190322","https://openalex.org/W2032078167","https://openalex.org/W2034174148","https://openalex.org/W2042257557","https://openalex.org/W2054707345","https://openalex.org/W2063059430","https://openalex.org/W2064838203","https://openalex.org/W2065419487","https://openalex.org/W2068491987","https://openalex.org/W2075102435","https://openalex.org/W2077078184","https://openalex.org/W2082452894","https://openalex.org/W2107529009","https://openalex.org/W2108730820","https://openalex.org/W2113944274","https://openalex.org/W2114675744","https://openalex.org/W2125376074","https://openalex.org/W2131222056","https://openalex.org/W2138954016","https://openalex.org/W2150125749","https://openalex.org/W2153710721","https://openalex.org/W2167301733","https://openalex.org/W2168046319","https://openalex.org/W2323178809","https://openalex.org/W2325256587","https://openalex.org/W2327804221","https://openalex.org/W3088280272","https://openalex.org/W3098636946","https://openalex.org/W3102783504","https://openalex.org/W4238133151","https://openalex.org/W6608371982","https://openalex.org/W6658888272","https://openalex.org/W6680519864"],"related_works":["https://openalex.org/W3009413735","https://openalex.org/W2348247736","https://openalex.org/W2064622645","https://openalex.org/W818941843","https://openalex.org/W2348377862","https://openalex.org/W2388016850","https://openalex.org/W2995232673","https://openalex.org/W2348418259","https://openalex.org/W2058247520","https://openalex.org/W4312694896"],"abstract_inverted_index":{"Massive":[0],"windings":[1],"must":[2],"be":[3,72],"used":[4],"for":[5,38,97],"strong":[6],"magnetic":[7,14,42,62,101,115,130,166],"field":[8,15,43,63,102,116,131],"applications,":[9],"which":[10,36],"results":[11,96],"in":[12,118],"low":[13],"uniformity.":[16],"In":[17],"this":[18],"paper,":[19],"a":[20,119,174],"simple":[21],"circular":[22,50],"Helmholtz":[23,77,157],"coil":[24,78,158],"system":[25,85],"is":[26],"analyzed":[27],"to":[28,74,91],"identify":[29],"the":[30,34,49,60,75,94,114,123,128,133,136,139,144,152],"main":[31],"causes":[32],"of":[33,48,122,135,176],"problems,":[35],"arise":[37],"high":[39],"intensity":[40],"uniform":[41,100],"applications.":[44],"Here,":[45],"dominant":[46],"deformations":[47],"solenoid":[51],"winding":[52],"cross-section":[53],"shape":[54],"and":[55,64,79,89,103,126,143,163,168],"its":[56,65],"dimensions":[57,86,112],"effects":[58],"on":[59],"generated":[61,165],"uniformity":[66,117],"are":[67,87,148],"analyzed.":[68],"These":[69],"analyses":[70],"can":[71],"applied":[73],"modified":[76],"multi-axial":[80],"systems,":[81],"as":[82],"well.":[83],"The":[84,110],"optimized":[88,111],"normalized":[90],"easily":[92],"scale":[93],"given":[95,153],"any":[98],"desired":[99,129],"workspace":[104,125],"without":[105],"doing":[106],"further":[107],"laborious":[108],"calculations.":[109],"increase":[113],"large":[120],"portion":[121],"available":[124],"realize":[127],"at":[132],"center":[134],"system.":[137],"Also,":[138],"necessary":[140],"conductor":[141],"mass":[142],"total":[145],"electrical":[146],"power":[147],"reduced.":[149],"To":[150],"verify":[151],"analyses,":[154],"two":[155],"small-scale":[156],"systems":[159],"have":[160,170],"been":[161,171],"implemented":[162],"their":[164],"fields":[167],"nonuniformities":[169],"measured":[172],"under":[173],"variety":[175],"conditions.":[177]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":10},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}