61913 20230622083307.0 doi 10.1016/j.apm.2016.07.031 sideral 96974 ART-2016-96974 eng Acero, J. Universidad de Zaragoza (orcid)0000-0001-7207-5536 Analytical solution of the induced currents in multilayer cylindrical conductors under external electromagnetic sources 2016 Access copy available to the general public Unrestricted We present a closed-form solution for the induced losses in round conductors consisting of several concentric layers. The geometry under study corresponds to an infinitely-long and isolated multilayer cylinder where layers can have different electromagnetic properties and the number of layers is not restricted. The multilayer conductor is under an external time-varying magnetic field which induces currents and, accordingly, generates Joule dissipation. Total induced losses are obtained by integrating the losses of each layer. Mathematical expressions of the current distribution in each layer are derived from the solution of Maxwell''s equations. These expressions consist of a combination of Bessel functions of different kinds and orders. The current distribution in a particular layer not only depends on the properties of the layer but also on the properties of the rest of layers. Consequently, matrix formalism is adopted for describing current distribution of layers. Matrix description is numerically solved and results are compared with finite element simulations for different arrangements and cases. info:eu-repo/grantAgreement/ES/MINECO/CSD2009-00046 info:eu-repo/grantAgreement/ES/MINECO/RTC-2014-1847-6 info:eu-repo/grantAgreement/ES/MINECO/TEC2013-42937-R info:eu-repo/grantAgreement/ES/UZ/JIUZ-2014-TEC-08 info:eu-repo/semantics/openAccess by-nc-nd http://creativecommons.org/licenses/by-nc-nd/3.0/es/ 2.35 2016 MECHANICS 30 / 133 = 0.226 2016 Q1 T1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS 19 / 100 = 0.19 2016 Q1 T1 ENGINEERING, MULTIDISCIPLINARY 20 / 85 = 0.235 2016 Q1 T1 1.139 2016 Modeling and Simulation 2016 Q1 Applied Mathematics 2016 Q1 info:eu-repo/semantics/article info:eu-repo/semantics/submittedVersion Carretero, C. Universidad de Zaragoza (orcid)0000-0001-7901-9174 Lope, I. Universidad de Zaragoza (orcid)0000-0003-4858-9734 Alonso, R. Universidad de Zaragoza (orcid)0000-0003-0775-4641 Burdío, J.M. Universidad de Zaragoza (orcid)0000-0002-9655-5531 2002 385 Universidad de Zaragoza Dpto. Física Aplicada Área Física Aplicada 5007 520 Universidad de Zaragoza Dpto. Informát.Ingenie.Sistms. Área Ingen.Sistemas y Automát. 5008 785 Universidad de Zaragoza Dpto. Ingeniería Electrón.Com. Área Tecnología Electrónica 40, 23-24 (2016), 10667-10678 Appl. math. model. APPLIED MATHEMATICAL MODELLING 0307-904X 2001708 http://zaguan.unizar.es/record/61913/files/texto_completo.pdf Preprint 52617 http://zaguan.unizar.es/record/61913/files/texto_completo.jpg?subformat=icon icon Preprint oai:zaguan.unizar.es:61913 articulos driver 2023-06-21-14:58:17 ARTICLE