{"id":"https://openalex.org/W2912830605","doi":"https://doi.org/10.1109/tie.2019.2896077","title":"Nonlinear Modeling and Harmonic Analysis of Magnetic Resonant WPT System Based on Equivalent Small Parameter Method","display_name":"Nonlinear Modeling and Harmonic Analysis of Magnetic Resonant WPT System Based on Equivalent Small Parameter Method","publication_year":2019,"publication_date":"2019-02-05","ids":{"openalex":"https://openalex.org/W2912830605","doi":"https://doi.org/10.1109/tie.2019.2896077","mag":"2912830605"},"language":"en","primary_location":{"id":"doi:10.1109/tie.2019.2896077","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2019.2896077","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/A5082902686","display_name":"Yanfeng Chen","orcid":"https://orcid.org/0000-0002-5377-2093"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yanfeng Chen","raw_affiliation_strings":["School of Electric Power, South China University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-5377-2093","affiliations":[{"raw_affiliation_string":"School of Electric Power, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086607284","display_name":"Wenxun Xiao","orcid":"https://orcid.org/0000-0003-2999-411X"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wenxun Xiao","raw_affiliation_strings":["School of Electric Power, South China University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-2999-411X","affiliations":[{"raw_affiliation_string":"School of Electric Power, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045641633","display_name":"Zhipeng Guan","orcid":"https://orcid.org/0000-0002-9453-7188"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhipeng Guan","raw_affiliation_strings":["School of Electric Power, South China University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-9453-7188","affiliations":[{"raw_affiliation_string":"School of Electric Power, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100335215","display_name":"Bo Zhang","orcid":"https://orcid.org/0000-0001-9172-698X"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bo Zhang","raw_affiliation_strings":["School of Electric Power, South China University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0001-9172-698X","affiliations":[{"raw_affiliation_string":"School of Electric Power, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056329642","display_name":"Dongyuan Qiu","orcid":"https://orcid.org/0000-0001-7906-7686"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dongyuan Qiu","raw_affiliation_strings":["School of Electric Power, South China University of Technology, Guangzhou, China"],"raw_orcid":"https://orcid.org/0000-0001-7906-7686","affiliations":[{"raw_affiliation_string":"School of Electric Power, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048133102","display_name":"Mei-Yu Wu","orcid":"https://orcid.org/0009-0005-4991-4422"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Meiyu Wu","raw_affiliation_strings":["School of Electric Power, South China University of Technology, Guangzhou, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electric Power, South China University of Technology, Guangzhou, China","institution_ids":["https://openalex.org/I90610280"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.5429,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.89672989,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"66","issue":"8","first_page":"6604","last_page":"6612"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11249","display_name":"Wireless Power Transfer Systems","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/T11249","display_name":"Wireless Power Transfer Systems","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/T11392","display_name":"Energy Harvesting in Wireless Networks","score":0.9991999864578247,"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/T11248","display_name":"Advanced Power Amplifier Design","score":0.9814000129699707,"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/harmonics","display_name":"Harmonics","score":0.73927903175354},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6858987212181091},{"id":"https://openalex.org/keywords/harmonic-analysis","display_name":"Harmonic analysis","score":0.6008399128913879},{"id":"https://openalex.org/keywords/harmonic","display_name":"Harmonic","score":0.5222911834716797},{"id":"https://openalex.org/keywords/wireless-power-transfer","display_name":"Wireless power transfer","score":0.48670676350593567},{"id":"https://openalex.org/keywords/inverter","display_name":"Inverter","score":0.46500691771507263},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4615910053253174},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.41194185614585876},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.37832117080688477},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.3779129981994629},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.23003384470939636},{"id":"https://openalex.org/keywords/wireless","display_name":"Wireless","score":0.18831011652946472},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1693877875804901},{"id":"https://openalex.org/keywords/acoustics","display_name":"Acoustics","score":0.12272298336029053},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.10926169157028198},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.08578619360923767},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.07953289151191711}],"concepts":[{"id":"https://openalex.org/C188414643","wikidata":"https://www.wikidata.org/wiki/Q3001183","display_name":"Harmonics","level":3,"score":0.73927903175354},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6858987212181091},{"id":"https://openalex.org/C131770355","wikidata":"https://www.wikidata.org/wiki/Q876215","display_name":"Harmonic analysis","level":2,"score":0.6008399128913879},{"id":"https://openalex.org/C127934551","wikidata":"https://www.wikidata.org/wiki/Q1148098","display_name":"Harmonic","level":2,"score":0.5222911834716797},{"id":"https://openalex.org/C2779423816","wikidata":"https://www.wikidata.org/wiki/Q6856398","display_name":"Wireless power transfer","level":3,"score":0.48670676350593567},{"id":"https://openalex.org/C11190779","wikidata":"https://www.wikidata.org/wiki/Q664575","display_name":"Inverter","level":3,"score":0.46500691771507263},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4615910053253174},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.41194185614585876},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.37832117080688477},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.3779129981994629},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.23003384470939636},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.18831011652946472},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1693877875804901},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.12272298336029053},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.10926169157028198},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.08578619360923767},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.07953289151191711},{"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/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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tie.2019.2896077","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tie.2019.2896077","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":0.8100000023841858}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1557561763","https://openalex.org/W1979048544","https://openalex.org/W1980442790","https://openalex.org/W1985705155","https://openalex.org/W1989517581","https://openalex.org/W1991971131","https://openalex.org/W2004512974","https://openalex.org/W2011346186","https://openalex.org/W2021200039","https://openalex.org/W2026611755","https://openalex.org/W2034374047","https://openalex.org/W2043538543","https://openalex.org/W2060209400","https://openalex.org/W2062472118","https://openalex.org/W2064590105","https://openalex.org/W2071043799","https://openalex.org/W2085033944","https://openalex.org/W2104736263","https://openalex.org/W2107319425","https://openalex.org/W2115248445","https://openalex.org/W2119407582","https://openalex.org/W2141143112","https://openalex.org/W2152238724","https://openalex.org/W2162626446","https://openalex.org/W2167223540","https://openalex.org/W2167599501","https://openalex.org/W2168411061","https://openalex.org/W2217761212","https://openalex.org/W2321548803","https://openalex.org/W2429730967","https://openalex.org/W2594953813","https://openalex.org/W2770739959","https://openalex.org/W2795622140","https://openalex.org/W2802987866","https://openalex.org/W6633370561","https://openalex.org/W6653079976"],"related_works":["https://openalex.org/W1579696083","https://openalex.org/W2026048727","https://openalex.org/W2525517395","https://openalex.org/W4206226528","https://openalex.org/W2367352519","https://openalex.org/W2004163324","https://openalex.org/W2162458593","https://openalex.org/W2031753233","https://openalex.org/W94697941","https://openalex.org/W2131300395"],"abstract_inverted_index":{"The":[0,68],"magnetic":[1],"resonant":[2],"wireless":[3],"power":[4,18],"transfer":[5],"(WPT)":[6],"system":[7,43,50,62],"with":[8,63,107],"a":[9,55,64],"class":[10,65],"E":[11,66],"inverter":[12],"has":[13],"wide":[14],"application":[15],"in":[16],"mid-range":[17],"transmission,":[19],"especially":[20],"for":[21,29,59,102],"several":[22],"megahertz":[23],"scenario.":[24],"However,":[25],"it":[26],"is":[27,74,138],"cumbersome":[28],"the":[30,38,42,47,60,79,92,103,114,120,128,135,146,151],"existing":[31,109],"modeling":[32,110],"and":[33,84,111,142,148],"analysis":[34,112],"methods":[35],"to":[36,41,77],"obtain":[37],"analytical":[39],"solution":[40],"variables,":[44],"which":[45],"limits":[46],"evaluation":[48],"of":[49,127,130,150],"characteristic.":[51],"This":[52],"paper":[53],"proposes":[54],"nonlinear":[56,82],"mathematical":[57],"model":[58],"WPT":[61],"inverter.":[67],"equivalent":[69],"small":[70],"parameter":[71],"method":[72],"(ESPM)":[73],"first":[75],"adopted":[76],"solve":[78],"proposed":[80,104,152],"six-order":[81],"model,":[83],"symbolic-form":[85],"steady-state":[86],"periodic":[87,116],"solutions":[88],"are":[89,100],"yielded.":[90],"During":[91],"whole":[93],"solving":[94],"process,":[95],"only":[96],"three":[97],"iteration":[98],"steps":[99],"needed":[101],"method.":[105,153],"Compared":[106],"other":[108],"methods,":[113],"symbolic":[115],"results":[117],"acquired":[118],"by":[119,125],"ESPM":[121],"exhibit":[122],"sufficient":[123],"accuracy":[124,149],"virtue":[126],"combination":[129],"more":[131],"higher":[132],"harmonics.":[133],"Meanwhile,":[134],"calculation":[136],"complexity":[137],"simplified":[139],"remarkably.":[140],"Simulation":[141],"available":[143],"experiments":[144],"validate":[145],"effectiveness":[147]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":4}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}