Abstract
In this article, an efficient simulation strategy for a fully coupled nonlinear magnetic-thermal problem is presented. The solution-dependent magnetic subproblem is solved with a harmonic balancing scheme, with the main focus on the correct choice of the material model (magnetization curve). To further increase the computational efficiency, a non-conforming interface approach is used, based on the jump operators and penalty terms. This method drastically decreases the meshing time because different mesh sizes can be combined without taking care of element distortions in transition layers between fine and coarse parts of the mesh.
Highlights
M AGNETIC–THERMAL problems arise in a wide range of possible applications, e.g., induction heating or thermal analysis of transformers or motors
We focus on the efficient simulation of induction heating processes for thin steel sheets, where the inductors are made of massive conductive material, and eddy currents inside the inductor have to be taken into account by means of global excitation
Since these induction heating applications involve setups, where a finely meshed, structured region must be combined with a more complexly shaped air domain, we present a methodology for nonconforming interfaces in H function space, based on the Nitsche’s idea [7] for the time-harmonic eddy-current problem in A, which holds for the modified A − V formulation with some minor assumptions
Summary
M AGNETIC–THERMAL problems arise in a wide range of possible applications, e.g., induction heating or thermal analysis of transformers or motors. There exist methods improving the efficiency of magnetic–thermal simulations in the time domain, see [2], we consider the nonlinear eddy-current problem solely in the frequency domain and use the multiharmonic ansatz approach from [4], together with an alternating time–frequency scheme [3] to obtain correct reluctivity values in the respective harmonics Since these induction heating applications involve setups, where a finely meshed, structured region (the sheet) must be combined with a more complexly shaped (depending on the inductor winding geometry) air domain, we present a methodology for nonconforming interfaces in H (curl, ) function space, based on the Nitsche’s idea [7] for the time-harmonic eddy-current problem in A, which holds for the modified A − V formulation with some minor assumptions
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