000061913 001__ 61913
000061913 005__ 20230622083307.0
000061913 0247_ $$2doi$$a10.1016/j.apm.2016.07.031
000061913 0248_ $$2sideral$$a96974
000061913 037__ $$aART-2016-96974
000061913 041__ $$aeng
000061913 100__ $$0(orcid)0000-0001-7207-5536$$aAcero, J.$$uUniversidad de Zaragoza
000061913 245__ $$aAnalytical solution of the induced currents in multilayer cylindrical conductors under external electromagnetic sources
000061913 260__ $$c2016
000061913 5060_ $$aAccess copy available to the general public$$fUnrestricted
000061913 5203_ $$aWe 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.
000061913 536__ $$9info:eu-repo/grantAgreement/ES/MINECO/CSD2009-00046$$9info:eu-repo/grantAgreement/ES/MINECO/RTC-2014-1847-6$$9info:eu-repo/grantAgreement/ES/MINECO/TEC2013-42937-R$$9info:eu-repo/grantAgreement/ES/UZ/JIUZ-2014-TEC-08
000061913 540__ $$9info:eu-repo/semantics/openAccess$$aby-nc-nd$$uhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/
000061913 590__ $$a2.35$$b2016
000061913 591__ $$aMECHANICS$$b30 / 133 = 0.226$$c2016$$dQ1$$eT1
000061913 591__ $$aMATHEMATICS, INTERDISCIPLINARY APPLICATIONS$$b19 / 100 = 0.19$$c2016$$dQ1$$eT1
000061913 591__ $$aENGINEERING, MULTIDISCIPLINARY$$b20 / 85 = 0.235$$c2016$$dQ1$$eT1
000061913 592__ $$a1.139$$b2016
000061913 593__ $$aModeling and Simulation$$c2016$$dQ1
000061913 593__ $$aApplied Mathematics$$c2016$$dQ1
000061913 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/submittedVersion
000061913 700__ $$0(orcid)0000-0001-7901-9174$$aCarretero, C.$$uUniversidad de Zaragoza
000061913 700__ $$0(orcid)0000-0003-4858-9734$$aLope, I.$$uUniversidad de Zaragoza
000061913 700__ $$0(orcid)0000-0003-0775-4641$$aAlonso, R.$$uUniversidad de Zaragoza
000061913 700__ $$0(orcid)0000-0002-9655-5531$$aBurdío, J.M.$$uUniversidad de Zaragoza
000061913 7102_ $$12002$$2385$$aUniversidad de Zaragoza$$bDpto. Física Aplicada$$cÁrea Física Aplicada
000061913 7102_ $$15007$$2520$$aUniversidad de Zaragoza$$bDpto. Informát.Ingenie.Sistms.$$cÁrea Ingen.Sistemas y Automát.
000061913 7102_ $$15008$$2785$$aUniversidad de Zaragoza$$bDpto. Ingeniería Electrón.Com.$$cÁrea Tecnología Electrónica
000061913 773__ $$g40, 23-24 (2016), 10667-10678$$pAppl. math. model.$$tAPPLIED MATHEMATICAL MODELLING$$x0307-904X
000061913 8564_ $$s2001708$$uhttps://zaguan.unizar.es/record/61913/files/texto_completo.pdf$$yPreprint
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000061913 951__ $$a2023-06-21-14:58:17
000061913 980__ $$aARTICLE