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,
- 2016-09-23; in: "Workshop MSHOM 2016",
K. Hollaus (ed.);
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.
Benchmark problem, multiscale finite element method MSFEM
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.