{"id":"https://openalex.org/W2023925783","doi":"https://doi.org/10.1109/tmag.2012.2212713","title":"Robust Global Optimization of Electromagnetic Devices With Uncertain Design Parameters: Comparison of the Worst Case Optimization Methods and Multiobjective Optimization Approach Using Gradient Index","display_name":"Robust Global Optimization of Electromagnetic Devices With Uncertain Design Parameters: Comparison of the Worst Case Optimization Methods and Multiobjective Optimization Approach Using Gradient Index","publication_year":2012,"publication_date":"2012-08-09","ids":{"openalex":"https://openalex.org/W2023925783","doi":"https://doi.org/10.1109/tmag.2012.2212713","mag":"2023925783"},"language":"en","primary_location":{"id":"doi:10.1109/tmag.2012.2212713","doi":"https://doi.org/10.1109/tmag.2012.2212713","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmag.2012.2212713","pdf_url":null,"source":{"id":"https://openalex.org/S50523690","display_name":"IEEE Transactions on Magnetics","issn_l":"0018-9464","issn":["0018-9464","1941-0069"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","ki-jl-1","norway-1","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320755","host_organization_name":"IEEE Magnetics Society","host_organization_lineage":["https://openalex.org/P4310320755","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Magnetics Society","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 Magnetics","raw_type":"journal-article"},"volume":null,"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/A5068430106","display_name":"Ziyan Ren","orcid":"https://orcid.org/0000-0001-8988-7290","observed_orcids":["https://orcid.org/0000-0001-8988-7290"]},"institutions":[{"id":"https://openalex.org/I163753206","display_name":"Chungbuk National University","ror":"https://ror.org/02wnxgj78","country_code":"KR","type":"education","lineage":["https://openalex.org/I163753206"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Ziyan Ren","raw_affiliation_strings":["College of Electrical and Computer Engineering, Chungbuk National University, Cheongju, Chungbuk, South Korea","[Coll. of Electr. & Comput. Eng., Chungbuk Nat. Univ., Cheongju, South Korea]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Electrical and Computer Engineering, Chungbuk National University, Cheongju, Chungbuk, South Korea","institution_ids":["https://openalex.org/I163753206"]},{"raw_affiliation_string":"[Coll. of Electr. & Comput. Eng., Chungbuk Nat. Univ., Cheongju, South Korea]","institution_ids":["https://openalex.org/I163753206"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087377384","display_name":"Minh-Trien Pham","orcid":"https://orcid.org/0000-0002-2493-8330","observed_orcids":["https://orcid.org/0000-0002-2493-8330"]},"institutions":[{"id":"https://openalex.org/I4405277059","display_name":"VNU University of Engineering and Technology","ror":"https://ror.org/019sx5d52","country_code":"VN","type":"education","lineage":["https://openalex.org/I177233841","https://openalex.org/I4405277059"]}],"countries":["VN"],"is_corresponding":false,"raw_author_name":"Minh-Trien Pham","raw_affiliation_strings":["University of Engineering and Technology, Vietnam National University, Hanoi, Vietnam"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Engineering and Technology, Vietnam National University, Hanoi, Vietnam","institution_ids":["https://openalex.org/I4405277059"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000934094","display_name":"Chang Seop Koh","orcid":"https://orcid.org/0000-0001-5492-6376","observed_orcids":["https://orcid.org/0000-0001-5492-6376"]},"institutions":[{"id":"https://openalex.org/I163753206","display_name":"Chungbuk National University","ror":"https://ror.org/02wnxgj78","country_code":"KR","type":"education","lineage":["https://openalex.org/I163753206"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Chang Seop Koh","raw_affiliation_strings":["College of Electrical and Computer Engineering, Chungbuk National University, Cheongju, Chungbuk, South Korea","[Coll. of Electr. & Comput. Eng., Chungbuk Nat. Univ., Cheongju, South Korea]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Electrical and Computer Engineering, Chungbuk National University, Cheongju, Chungbuk, South Korea","institution_ids":["https://openalex.org/I163753206"]},{"raw_affiliation_string":"[Coll. of Electr. & Comput. Eng., Chungbuk Nat. Univ., Cheongju, South Korea]","institution_ids":["https://openalex.org/I163753206"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":4.3586,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.94568101,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"49","issue":"2","first_page":"851","last_page":"859"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.6919000148773193,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10928","display_name":"Probabilistic and Robust Engineering Design","score":0.6919000148773193,"subfield":{"id":"https://openalex.org/subfields/1804","display_name":"Statistics, Probability and Uncertainty"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10278","display_name":"Electric Motor Design and Analysis","score":0.12229999899864197,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.0722000002861023,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/robust-design-optimization","display_name":"robust design optimization","score":0.7820000052452087},{"id":"https://openalex.org/keywords/electromagnetic-devices","display_name":"electromagnetic devices","score":0.9129999876022339},{"id":"https://openalex.org/keywords/worst-case-optimization","display_name":"worst-case optimization","score":0.7319999933242798},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"multi-objective optimization","score":0.7450000047683716},{"id":"https://openalex.org/keywords/gradient-index","display_name":"gradient index","score":0.9789999723434448},{"id":"https://openalex.org/keywords/design-parameter-uncertainty","display_name":"design parameter uncertainty","score":0.8410000205039978},{"id":"https://openalex.org/keywords/constrained-optimization","display_name":"constrained optimization","score":0.3230000138282776}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6752476096153259},{"id":"https://openalex.org/C193254401","wikidata":"https://www.wikidata.org/wiki/Q2160088","display_name":"Robust optimization","level":2,"score":0.6696596145629883},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.661312460899353},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.6037034392356873},{"id":"https://openalex.org/C186394612","wikidata":"https://www.wikidata.org/wiki/Q7098942","display_name":"Optimal design","level":2,"score":0.5255086421966553},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.47780901193618774},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4356107711791992},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.43247532844543457},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.3765987157821655},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20126041769981384},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tmag.2012.2212713","doi":"https://doi.org/10.1109/tmag.2012.2212713","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tmag.2012.2212713","pdf_url":null,"source":{"id":"https://openalex.org/S50523690","display_name":"IEEE Transactions on Magnetics","issn_l":"0018-9464","issn":["0018-9464","1941-0069"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","ki-jl-1","norway-1","poland-70","russia-white-list-2","vabb-shw"],"host_organization":"https://openalex.org/P4310320755","host_organization_name":"IEEE Magnetics Society","host_organization_lineage":["https://openalex.org/P4310320755","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Magnetics Society","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 Magnetics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321038","display_name":"Fonds National de la Recherche Luxembourg","ror":"https://ror.org/039z13y21"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1965674705","https://openalex.org/W1983585672","https://openalex.org/W1993203698","https://openalex.org/W2006675862","https://openalex.org/W2021688952","https://openalex.org/W2032955037","https://openalex.org/W2077293529","https://openalex.org/W2097512763","https://openalex.org/W2106831600","https://openalex.org/W2124872959","https://openalex.org/W2127321715","https://openalex.org/W2132960552","https://openalex.org/W2136816240","https://openalex.org/W2138901716","https://openalex.org/W2139607446","https://openalex.org/W2148890343","https://openalex.org/W2155987484","https://openalex.org/W2156371021","https://openalex.org/W2159230987","https://openalex.org/W2164308034","https://openalex.org/W2167025405","https://openalex.org/W2170766862","https://openalex.org/W2566297458"],"related_works":["https://openalex.org/W1881976803","https://openalex.org/W1980975317","https://openalex.org/W2139607446","https://openalex.org/W57705691","https://openalex.org/W2167025405","https://openalex.org/W1982049098","https://openalex.org/W2903283768","https://openalex.org/W2044631540","https://openalex.org/W2811285191","https://openalex.org/W2127321715"],"abstract_inverted_index":{"The":[0],"uncertainties":[1,30],"in":[2,7,56],"design":[3,10,80],"variables":[4],"are":[5,100],"unavoidable":[6],"the":[8,29,34,42,63,68,77,84,87],"optimal":[9,79],"of":[11,37,81,86],"electromagnetic":[12],"devices,":[13],"and":[14,31,92],"there":[15],"is":[16,26,54],"an":[17],"imperative":[18],"demand":[19],"to":[20,28,61,76],"find":[21],"a":[22,47,57],"robust":[23,78],"design,":[24],"which":[25],"insensitive":[27],"remains":[32],"within":[33],"feasible":[35],"region":[36],"constraints":[38],"even":[39],"perturbed":[40],"by":[41],"uncertainties.":[43],"In":[44],"this":[45],"paper,":[46],"gradient-based":[48],"worst":[49,69],"case":[50,70],"optimization":[51,71,94],"(G-WCO)":[52],"algorithm":[53],"proposed":[55,88],"limited":[58],"uncertainty":[59],"set":[60],"increase":[62],"numerical":[64],"efficiency":[65],"based":[66],"on":[67],"(WCO)":[72],"algorithm.":[73],"Through":[74],"applications":[75],"TEAM":[82],"22,":[83],"performances":[85],"G-WCO,":[89],"conventional":[90],"WCO,":[91],"multiobjective":[93],"approach":[95],"using":[96],"gradient":[97],"index":[98],"(GI)":[99],"compared.":[101]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":8},{"year":2017,"cited_by_count":4},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":3}],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2016-06-24T00:00:00"}