Abstract
A novel mixed multiscale finite-element method for the eddy-current problem is presented to avoid the necessity of modeling each laminate of the core of electrical devices. The method is based on a current vector potential $T$ and a reduced magnetic scalar potential (RMSP) $\Phi $ and copes with the 3-D problems. The edge effect is considered. Material properties are assumed to be linear. Hence, the method is developed for the frequency domain. External currents are represented by the Biot–Savart field serving as excitation. The planes of symmetry are exploited. Numerical simulations are presented, showing excellent accuracy at minimal computational costs.
Highlights
A N ACCURATE prediction of the eddy-current distribution in the laminated iron cores of electric devices is a challenging task in the design process
The solution obtained by prescribing a current vector potential (CVP) T having a single component normal to the lamination [1] or using an anisotropic electric conductivity [2] has to be corrected in a post-processing step to consider the eddy currents due to the main magnetic flux
To study the computational costs of the novel mixed MSFEM (MMSFEM) compared with reference solutions with respect to the number of laminates in the core, problems with 4, 20, and 100 laminates have been simulated
Summary
A N ACCURATE prediction of the eddy-current distribution in the laminated iron cores of electric devices is a challenging task in the design process. The solution obtained by prescribing a current vector potential (CVP) T having a single component normal to the lamination [1] or using an anisotropic electric conductivity [2] has to be corrected in a post-processing step to consider the eddy currents due to the main magnetic flux. These approaches are questionable in the context of nonlinear material properties. B for all (vh , vh ) ∈ V0h, where Uh and Vh are the finite-element subspaces of H (curl, c) and H 1(), respectively
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