Abstract
Introduction: The mathematical modeling of electromagnetic problems in electrical devices are often presented by Maxwell’s equations and constitutive material laws. These equations are partial differential equations linked to fields and their sources. In order to solve these equations and simulate the distribution of magnetic fields and eddy current losses of electromagnetic problems, a subproblem method for modeling a 3-D magnetodymic problem with the b-conformal formulation is proposed.
 Methods: In this paper, the subproblem method with using edge finite elements is proposed for coupling subproblems via several steps to treat and deal with some troubles regarding to electromagnetic problems that gets quite difficulties when directly applying a finite element method. In the strategy subproblem method, it allows a complete problem to define into several subproblems with adapted dimensions. Each subproblem can be solved on its independent domain and mesh without performing in whole domain or mesh. This easily supports meshing and decreases computing time.
 Results: The obtained results, the subproblem method with edge elements indicates magnetic flux densities and the eddy current losses in the conducting region. The computed results is also compared with the measured results done by other authors. This can be shown that there is a very good agreement.
 Conclusion: The validated method has been successfully applied to a practical test problem (TEAM Problem 7).
Highlights
The mathematical modeling of electromagnetic problems in electrical devices are often presented by Maxwell's equations and constitutive material laws
From this SP to another is constrained by interface conditions (ICs) with surface sources (SSs) or volume sources (VSs), that express changes of permeability and conductivity material in conducting regions.The developed method is performed for the magnetic flux density formulation and is illustrated on a practical test problem (TEAM problem 7) 3
The extended method has been successfully computed the distribution of magnetic flux density due to the electric current following in the coil, and the eddy current losses in the conductor plate
Summary
The mathematical modeling of electromagnetic problems in electrical devices are often presented by Maxwell’s equations and constitutive material laws. The SPM is expanded for coupling SPs via two steps with using edge finite elements (FEs) The scenario of this method is based on a SPM 5, instead of solving a complete model (e.g, stranded inductors and conducting regions) in a single mesh, it will be split into several problems with a series of changes. The complete solution is defined as a superposition of the SP solutions From this SP to another is constrained by interface conditions (ICs) with surface sources (SSs) or volume sources (VSs), that express changes of permeability and conductivity material in conducting regions.The developed method is performed for the magnetic flux density formulation and is illustrated on a practical test problem (TEAM problem 7) 3. The problem is tested with two cases of frequencies of the 50 Hz and 200 Hz
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