Abstract
Introduction: The direct application of the classcial finite element method for dealing with magnetodynamic problems consisting of thin regions is extremely difficult or even not possible. Many authors have been recently developed a thin shell model in order to overcome this drawback. However, this development generally neglects inaccuracies around edges and corners of thin shell, that lead to inaccuracies of the magnetic fields, eddy currents and joule power losses, specially increasing with the thickness.
 Methods: In this article, we propose a two-process coupling subproblem technique for improving the errors that overcome thin shell assumptions. This technique is based on the subproblem method to couple SPs in two-processes. The first scenario is an initial problem solved with coils/stranded inductors together with thin region models. The obtained solutions are then considered as volume sources for the second scenario including actual volume improvements that scope with the thin shell assumptions. The final solution is sum up of the subproblem solutions achieved from both the scenarios. The extended method is approached for the h-conformal magnetic formulation.
 Results: The obtained results of the method are checked/compared to be close to the reference solutions computed from the classcial finite element method and the measured results. This can be pointed out a very good agreement.
 Conclusion: The extended method has been also successfully applied to the practical problem (TEAM workshop problem 21, model B).
Highlights
The direct application of the classical finite element method for dealing with magneto dynamic problems consisting of thin regions is extremely difficult or even not possible
The aim of this study is to propose a two-process coupling subproblem (SP) technique for improving the errors appearing from the thin shell (TS) models that were developed in 2
The first scenario is an initial problem solved with coils/stranded inductors and thin region models; the obtained solutions are considered as volume sources (VSs) for the second scenario including actual volume improvements that scope with the TS assumptions 2
Summary
The direct application of the finite element method (FEM) 1 for dealing with magneto dynamic problems consisting of thin regions is extremely difficult or even not possible. Many authors 2 have been recently developed a thin shell (TS) model in order to overcome this drawback. This development generally neglects inaccuracies around edges and corners of TS, which leads to inaccuracies of the local fields (magnetic fields, eddy currents, and Joule power losses...). The aim of this study is to propose a two-process coupling subproblem (SP) technique for improving the errors appearing from the TS models that were developed in 2. The technique is based on the subproblem method (SPM) presented by many authors 3–7. The first scenario is an initial problem solved with coils/stranded inductors and thin region models; the obtained solutions are considered as volume sources (VSs) (express as of permeability and conductivity material in conducting regions) for the second scenario including actual volume improvements that scope with the TS assumptions 2. The extended method is implemented for the magnetic field density formulation and applied to a practical problem (TEAM workshop Problem 21, model B) 8
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