Finite element simulation of eddy current problems using magnetic scalar potentials

Alonso Rodriguez, Ana and Bertolazzi, Enrico and Ghiloni, Riccardo and Valli, Alberto (2014) Finite element simulation of eddy current problems using magnetic scalar potentials. Trento : Università degli studi di Trento. Dipartimento di Matematica.

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    Abstract

    We propose a new implementation of the finite element approximation of eddy current problems using as principal unknown the magnetic field. In the non-conducting region a scalar magnetic potential is introduced. The method can deal automatically with any topological configuration of the conducting region and, being based on the search of a scalar magnetic potential in the non-conducting region, has the advantage of making use of a reduced number of unknowns. Several numerical tests are presented for illustrating the performance of the proposed method; in particular, the numerical simulation of a new type of transformer of complicated topological shape is shown.

    Item Type: Departmental Technical Report
    Department or Research center: Mathematics
    Subjects: Q Science > QA Mathematics > QA374.7 Partial differential equations
    Uncontrolled Keywords: Eddy current problem, finite element, loop fields, source field, algebraic topology methods
    Repository staff approval on: 25 Feb 2015 14:54

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