Analytical solution of the induced currents in multilayer cylindrical conductors under external electromagnetic sources

Acero, J. (Universidad de Zaragoza) ; Carretero, C. (Universidad de Zaragoza) ; Lope, I. (Universidad de Zaragoza) ; Alonso, R. (Universidad de Zaragoza) ; Burdío, J.M. (Universidad de Zaragoza)

Resumen: 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.

Idioma: Inglés

DOI: 10.1016/j.apm.2016.07.031

Año: 2016

Publicado en: APPLIED MATHEMATICAL MODELLING 40, 23-24 (2016), 10667-10678
ISSN: 0307-904X

Factor impacto JCR: 2.35 (2016)

Categ. JCR: MECHANICS rank: 30 / 133 = 0.226 (2016) - Q1 - T1
Categ. JCR: MATHEMATICS, INTERDISCIPLINARY APPLICATIONS rank: 19 / 100 = 0.19 (2016) - Q1 - T1
Categ. JCR: ENGINEERING, MULTIDISCIPLINARY rank: 20 / 85 = 0.235 (2016) - Q1 - T1

Factor impacto SCIMAGO: 1.139 - Modeling and Simulation (Q1) - Applied Mathematics (Q1)

Financiación: info:eu-repo/grantAgreement/ES/MINECO/CSD2009-00046
Financiación: info:eu-repo/grantAgreement/ES/MINECO/RTC-2014-1847-6
Financiación: info:eu-repo/grantAgreement/ES/MINECO/TEC2013-42937-R
Financiación: info:eu-repo/grantAgreement/ES/UZ/JIUZ-2014-TEC-08

Tipo y forma: Article (PrePrint)

Área (Departamento): Área Física Aplicada (Dpto. Física Aplicada)
Área (Departamento): Área Ingen.Sistemas y Automát. (Dpto. Informát.Ingenie.Sistms.)
Área (Departamento): Área Tecnología Electrónica (Dpto. Ingeniería Electrón.Com.)