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Talks and Poster Presentations (with Proceedings-Entry):

K. Hollaus, J. Schöberl, H. Silm, M. Kaltenbacher:
"Multiscale Finite Element Method for the Eddy Current Problem in Iron Laminates";
Talk: MSHOM 2016 Advances in Multiscale Methods and Homogenization for Laminates and Windings in Magnetic Fields, TU Wien; 09-22-2016 - 09-23-2016; in: "Workshop MSHOM 2016", K. Hollaus (ed.); (2016), 7 - 8.



English abstract:
The overall dimensions of a transformer core, for instance the length, etc. on the one hand and the thickness of the laminates etc. on the other hand yield an extremely large ratio between the macro-scale and the micro-scle, up to 10^6. The discretization of each laminate by finite elements (FEs) would lead to large systems of equations, whose solution is faraway from being a routine task for modern computer power. The lamiated iron core represents roughly a periodic micro-structure. The multiscale finite element methods (MSFEM) is introduced to cope with this challenge. how to create a multiscale formulation by means of a reference solution for the magnetic vector petentioal A is discussed in detail. The performance of MSFEM is studied by various simulations of small and simple numerical examples considering the influence of averaging of the coefficients, p-refinement of the micro-shape functions and that of the standarf FE polynomial bases. Particular attention is also paid to the edge effect.
In the second part of the talk a benchmark problem will be introduced which is being established in a joint work. the benchmark represents a simple single-phase transformer providing measurement data particularly interesting for simulations in the context of laminated iron cores. The benchmark shall promote the development of homogenization and multiscale methods.

Keywords:
Benchmark problem, multiscale finite element method MSFEM


Electronic version of the publication:
http://publik.tuwien.ac.at/files/publik_267601.pdf


Created from the Publication Database of the Vienna University of Technology.