We propose a new implementation of the finite element approximation of eddy current problems using, as the 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. © 2015 Elsevier Inc. All rights reserved

Finite element simulation of eddy current problems using magnetic scalar potentials / Alonso Rodriguez, Ana Maria; Bertolazzi, Enrico; Ghiloni, Riccardo; Valli, Alberto. - In: JOURNAL OF COMPUTATIONAL PHYSICS. - ISSN 0021-9991. - STAMPA. - 294:1(2015), pp. 503-523. [10.1016/j.jcp.2015.03.060]

Finite element simulation of eddy current problems using magnetic scalar potentials

Alonso Rodriguez, Ana Maria
Primo
;
Bertolazzi, Enrico
Secondo
;
Ghiloni, Riccardo
Penultimo
;
Valli, Alberto
Ultimo
2015-01-01

Abstract

We propose a new implementation of the finite element approximation of eddy current problems using, as the 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. © 2015 Elsevier Inc. All rights reserved
2015
1
Alonso Rodriguez, Ana Maria; Bertolazzi, Enrico; Ghiloni, Riccardo; Valli, Alberto
Finite element simulation of eddy current problems using magnetic scalar potentials / Alonso Rodriguez, Ana Maria; Bertolazzi, Enrico; Ghiloni, Riccardo; Valli, Alberto. - In: JOURNAL OF COMPUTATIONAL PHYSICS. - ISSN 0021-9991. - STAMPA. - 294:1(2015), pp. 503-523. [10.1016/j.jcp.2015.03.060]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/108671
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