Abstract

The simulation of the eddy currents in electrical devices with the finite element method (FEM) is satisfactory. However, the large systems to be solved result in high computational costs, i.e. memory requirement and computation time. Although the multiscale finite element method (MSFEM) can be exploited to simulate eddy currents in laminated iron more efficiently the complexity of the problems are still too large to solve them conveniently. Model order reduction (MOR) has proven to be a powerful methodology to reduce the costs and is well established for linear problems. MOR with proper orthogonal decomposition (POD) has been applied to solve large scale linear problems in computational electromagnetics very successful. MOR methods exploiting properties of specific problems are interesting. Splitting of the domain into a region where the solution changes strongly due to a parameter variation and the rest, MOR is applied to the rest with almost constant solution. In the present work, the idea is to exploit the specific structure of systems coming from the MSFEM for the eddy current problem (ECP) in laminated media for MOR. For example, the entire problem region can be subdivided into air and the laminated media on the one hand and, on the other, the total solution is composed of a large scale and fine scale part. The aim is to study the feasibility to exploit the structure of specific systems arising out of MSFEM of ECPs with laminated media for MOR.