{"id":"https://openalex.org/W3081571999","doi":"https://doi.org/10.1109/tii.2020.3020070","title":"Robust Optimization of PMLSM Based on a New Filled Function Algorithm With a Sigma Level Stability Convergence Criterion","display_name":"Robust Optimization of PMLSM Based on a New Filled Function Algorithm With a Sigma Level Stability Convergence Criterion","publication_year":2020,"publication_date":"2020-08-28","ids":{"openalex":"https://openalex.org/W3081571999","doi":"https://doi.org/10.1109/tii.2020.3020070","mag":"3081571999"},"language":"en","primary_location":{"id":"doi:10.1109/tii.2020.3020070","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tii.2020.3020070","pdf_url":null,"source":{"id":"https://openalex.org/S184777250","display_name":"IEEE Transactions on Industrial Informatics","issn_l":"1551-3203","issn":["1551-3203","1941-0050"],"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 Informatics","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/A5028976597","display_name":"Fei Dong","orcid":"https://orcid.org/0000-0002-5226-7466"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fei Dong","raw_affiliation_strings":["School of Electrical Engineering and Automation, Anhui University, Hefei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Automation, Anhui University, Hefei, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075789912","display_name":"Jiwen Zhao","orcid":"https://orcid.org/0000-0001-9088-7642"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]},{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiwen Zhao","raw_affiliation_strings":["School of Electrical Engineering and Automation, Anhui University, Hefei, China","School of Electrical and Automation Engineering, Hefei University of Technology, Hefei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Automation, Anhui University, Hefei, China","institution_ids":["https://openalex.org/I143868143"]},{"raw_affiliation_string":"School of Electrical and Automation Engineering, Hefei University of Technology, Hefei, China","institution_ids":["https://openalex.org/I16365422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100636900","display_name":"Jing Zhao","orcid":"https://orcid.org/0000-0001-8602-2371"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]},{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jing Zhao","raw_affiliation_strings":["School of Electrical Engineering and Automation, Anhui University, Hefei, China","School of Electrical and Automation Engineering, Hefei University of Technology, Hefei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Automation, Anhui University, Hefei, China","institution_ids":["https://openalex.org/I143868143"]},{"raw_affiliation_string":"School of Electrical and Automation Engineering, Hefei University of Technology, Hefei, China","institution_ids":["https://openalex.org/I16365422"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057729634","display_name":"Juncai Song","orcid":"https://orcid.org/0000-0001-9253-623X"},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Juncai Song","raw_affiliation_strings":["School of Electrical Engineering and Automation, Anhui University, Hefei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Automation, Anhui University, Hefei, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100333005","display_name":"Jie Chen","orcid":"https://orcid.org/0000-0003-2449-9793"},"institutions":[{"id":"https://openalex.org/I118987531","display_name":"Anhui Jianzhu University","ror":"https://ror.org/0108wjw08","country_code":"CN","type":"education","lineage":["https://openalex.org/I118987531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Chen","raw_affiliation_strings":["School of Electronic and Information Engineering, Anhui Jianzhu University, Hefei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronic and Information Engineering, Anhui Jianzhu University, Hefei, China","institution_ids":["https://openalex.org/I118987531"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059334614","display_name":"Zhilei Zheng","orcid":"https://orcid.org/0000-0001-5604-2275"},"institutions":[{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhilei Zheng","raw_affiliation_strings":["School of Electrical and Automation Engineering, Hefei University of Technology, Hefei, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Automation Engineering, Hefei University of Technology, Hefei, China","institution_ids":["https://openalex.org/I16365422"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4644,"has_fulltext":false,"cited_by_count":30,"citation_normalized_percentile":{"value":0.81379315,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"17","issue":"7","first_page":"4743","last_page":"4754"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10278","display_name":"Electric Motor Design and Analysis","score":0.9998000264167786,"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":0.9998000264167786,"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/T10504","display_name":"Sensorless Control of Electric Motors","score":0.9969000220298767,"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":0.9958999752998352,"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/ripple","display_name":"Ripple","score":0.7835532426834106},{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7461024522781372},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.7424944639205933},{"id":"https://openalex.org/keywords/thrust","display_name":"Thrust","score":0.7230349183082581},{"id":"https://openalex.org/keywords/stability","display_name":"Stability (learning theory)","score":0.5514319539070129},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.5510460138320923},{"id":"https://openalex.org/keywords/taguchi-methods","display_name":"Taguchi methods","score":0.48076388239860535},{"id":"https://openalex.org/keywords/design-for-six-sigma","display_name":"Design for Six Sigma","score":0.4297175109386444},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39073941111564636},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.389175146818161},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3584456145763397},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.3570782542228699},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3527825176715851},{"id":"https://openalex.org/keywords/six-sigma","display_name":"Six Sigma","score":0.14474710822105408},{"id":"https://openalex.org/keywords/mechanical-engineering","display_name":"Mechanical engineering","score":0.05671614408493042}],"concepts":[{"id":"https://openalex.org/C2779599953","wikidata":"https://www.wikidata.org/wiki/Q1776117","display_name":"Ripple","level":3,"score":0.7835532426834106},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7461024522781372},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.7424944639205933},{"id":"https://openalex.org/C79420006","wikidata":"https://www.wikidata.org/wiki/Q533668","display_name":"Thrust","level":2,"score":0.7230349183082581},{"id":"https://openalex.org/C112972136","wikidata":"https://www.wikidata.org/wiki/Q7595718","display_name":"Stability (learning theory)","level":2,"score":0.5514319539070129},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.5510460138320923},{"id":"https://openalex.org/C83469408","wikidata":"https://www.wikidata.org/wiki/Q2036525","display_name":"Taguchi methods","level":2,"score":0.48076388239860535},{"id":"https://openalex.org/C161272170","wikidata":"https://www.wikidata.org/wiki/Q289076","display_name":"Design for Six Sigma","level":4,"score":0.4297175109386444},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39073941111564636},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.389175146818161},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3584456145763397},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.3570782542228699},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3527825176715851},{"id":"https://openalex.org/C23119410","wikidata":"https://www.wikidata.org/wiki/Q236908","display_name":"Six Sigma","level":3,"score":0.14474710822105408},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.05671614408493042},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0},{"id":"https://openalex.org/C42360764","wikidata":"https://www.wikidata.org/wiki/Q83588","display_name":"Chemical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C34146451","wikidata":"https://www.wikidata.org/wiki/Q5048094","display_name":"Cascade","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"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/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tii.2020.3020070","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tii.2020.3020070","pdf_url":null,"source":{"id":"https://openalex.org/S184777250","display_name":"IEEE Transactions on Industrial Informatics","issn_l":"1551-3203","issn":["1551-3203","1941-0050"],"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 Informatics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1315134802","display_name":"\u5927\u884c\u7a0b\u9ad8\u7cbe\u5bc6\u6c38\u78c1\u76f4\u7ebf\u7535\u673a\u4f3a\u670d\u7cfb\u7edf\u5173\u952e\u79d1\u5b66\u95ee\u9898\u7814\u7a76","funder_award_id":"51837001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2866635697","display_name":null,"funder_award_id":"51907001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3385430478","display_name":null,"funder_award_id":"51707002","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G541116669","display_name":"\u590d\u6742\u7535\u673a\u7cfb\u7edf\u5173\u952e\u57fa\u7840\u95ee\u9898\u7814\u7a76","funder_award_id":"51637001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1983199234","https://openalex.org/W1996694537","https://openalex.org/W2020035157","https://openalex.org/W2023925783","https://openalex.org/W2029008331","https://openalex.org/W2029850529","https://openalex.org/W2086666260","https://openalex.org/W2090898739","https://openalex.org/W2102911166","https://openalex.org/W2127042446","https://openalex.org/W2128565084","https://openalex.org/W2141268791","https://openalex.org/W2152989347","https://openalex.org/W2163794291","https://openalex.org/W2194446262","https://openalex.org/W2323052584","https://openalex.org/W2335939657","https://openalex.org/W2432710993","https://openalex.org/W2517447689","https://openalex.org/W2577367849","https://openalex.org/W2605829245","https://openalex.org/W2625259966","https://openalex.org/W2752925822","https://openalex.org/W2761799804","https://openalex.org/W2784667239","https://openalex.org/W2895151730","https://openalex.org/W2898409730","https://openalex.org/W2901725894","https://openalex.org/W4234426548","https://openalex.org/W4381795251"],"related_works":["https://openalex.org/W2141801573","https://openalex.org/W2166523533","https://openalex.org/W2042858286","https://openalex.org/W2186534316","https://openalex.org/W4229441739","https://openalex.org/W1899929387","https://openalex.org/W4303411445","https://openalex.org/W4313060569","https://openalex.org/W2992078790","https://openalex.org/W2021548147"],"abstract_inverted_index":{"Traditional":[0],"design":[1,193],"optimization":[2,151,172,190],"methods":[3],"for":[4,33,57,94,194],"permanent":[5],"magnet":[6],"linear":[7],"synchronous":[8],"motor":[9,37],"(PMLSM)":[10],"always":[11],"pursuit":[12],"the":[13,18,34,51,58,66,76,81,95,112,131,138,144,155,161,168,199,202,207],"optimal":[14,115],"result":[15,29],"without":[16],"considering":[17],"influence":[19],"of":[20,36,53,69,83,89,114,133,147,164,206],"uncertainties":[21],"(manufacturing":[22],"errors,":[23],"use":[24],"wear,":[25],"etc.),":[26],"which":[27,106],"will":[28,107],"in":[30,65],"big":[31],"fluctuations":[32],"stability":[35,52,102,132,141],"thrust":[38,70,77,90,116,134,162],"performance.":[39],"This":[40],"article":[41],"proposes":[42],"a":[43,99,121],"new":[44,122],"filled":[45,149],"function":[46,150],"algorithm":[47,125,152],"(NFFA)":[48],"to":[49,110,129,159,176],"improve":[50],"PMLSM.":[54],"It":[55],"searches":[56],"structure":[59],"parameters":[60],"that":[61],"not":[62],"only":[63],"lay":[64],"smooth":[67],"area":[68],"ripple":[71,78,91,117,135,163],"distribution":[72],"but":[73],"also":[74],"satisfy":[75],"constraints":[79],"under":[80,118],"effect":[82],"uncertainties.":[84],"First,":[85],"an":[86],"analytical":[87,169],"model":[88],"is":[92,104,127,157],"established":[93],"next-step":[96],"optimization.":[97],"Second,":[98],"sigma":[100,139,196],"level":[101,140],"criterion":[103,142,146],"proposed,":[105],"be":[108,177],"used":[109,158],"judge":[111],"robustness":[113],"uncertainties,":[119],"and":[120,179,192,204],"global":[123],"robust":[124,189],"NFFA":[126,156],"studied":[128],"realize":[130],"by":[136],"managing":[137],"as":[143,186],"convergence":[145],"traditional":[148],"(TFFA).":[153],"Third,":[154],"optimize":[160],"PMLSM":[165],"based":[166],"on":[167],"model.":[170],"The":[171],"results":[173],"are":[174],"proven":[175],"stable":[178],"superior":[180],"compared":[181],"with":[182],"other":[183],"methods,":[184],"such":[185],"TFFA,":[187],"Taguchi":[188],"method,":[191],"six":[195],"method.":[197,209],"Finally,":[198],"experiments":[200],"confirm":[201],"feasibility":[203],"validity":[205],"proposed":[208]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":2}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}