89963 20230622083309.0 doi 10.1016/j.apm.2020.02.020 sideral 117148 ART-2020-117148 eng Plumed, Emilio Universidad de Zaragoza (orcid)0000-0002-5996-0474 A recursive methodology for modelling multi-stranded wires with multilevel helix structure 2020 Access copy available to the general public Unrestricted Multi-stranded litz wires are commonly used in magnetic devices for power electronics applications at medium-high frequency range, from several kHz up to hundreds of kHz. For these applications, litz-wire structure favours the uniformity of driven current in the cross-sectional area of conductors, alleviating ac losses (skin and proximity effects) and improving the global efficiency of the application. These features are achieved by means of a special cable arrangement consisting of many isolated fine copper strands twisted together according to the manufacturing process. Often, the manufacturing process involves several twisting steps where bundles of moderate number of strands are successively twisted resulting in intricate cable structures. We present a mathematical description of the trajectories of copper strands with the purpose of obtaining the cable losses by means of Finite Element Analysis (FEA) simulation tools. Moreover, a nomenclature for this multilevel structures is also proposed. Parameters as the number of twisting steps, number of strands, strand diameter or pitch length, are included in this representation, allowing to compare the performance of different manufacturing solutions. info:eu-repo/grantAgreement/ES/MINECO/RTC-2017-5965-6 info:eu-repo/grantAgreement/ES/MINECO/TEC2016-78358-R info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 5.129 2020 MECHANICS 14 / 135 = 0.104 2020 Q1 T1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS 8 / 108 = 0.074 2020 Q1 T1 ENGINEERING, MULTIDISCIPLINARY 12 / 91 = 0.132 2020 Q1 T1 1.01 2020 Modeling and Simulation 2020 Q1 Applied Mathematics 2020 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Lope, Ignacio Universidad de Zaragoza (orcid)0000-0003-4858-9734 Carretero, Claudio Universidad de Zaragoza (orcid)0000-0001-7901-9174 Acero, Jesús Universidad de Zaragoza (orcid)0000-0001-7207-5536 2002 385 Universidad de Zaragoza Dpto. Física Aplicada Área Física Aplicada 5008 785 Universidad de Zaragoza Dpto. Ingeniería Electrón.Com. Área Tecnología Electrónica 2002 247 Universidad de Zaragoza Dpto. Física Aplicada Área Electromagnetismo 83 (2020), 76-89 Appl. math. model. APPLIED MATHEMATICAL MODELLING 0307-904X 10223775 http://zaguan.unizar.es/record/89963/files/texto_completo.pdf Postprint 206383 http://zaguan.unizar.es/record/89963/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:89963 articulos driver 2023-06-21-14:59:19 ARTICLE