Model order reduction using hyperreduction methods (DEIM, ECSW) for magnetodynamic FEM problems

Johannes Maierhofer, Daniel J. Rixen

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10 Scopus citations

Abstract

Efficient Model Order Reduction Methods for the calculation of non-linear electromagnetic systems can be realized using hyperreduction strategies that are known from structural dynamics. Precalculated full field solution snapshots are used to build a reduction basis using a singular value decomposition. The non-linear behavior is further reduced by a weighting function on selected elements. This paper presents the application of the discrete empirical interpolation method (DEIM) and the energy-conserving sampling and weighting (ECSW) method to magnetodynamic FEM problems. The magnetodynamic FEM formulation is based on the modified vector-potential in combination with edge-elements. Applying the hyperreduction methods, a significant reduction of online computational time was achieved while preserving very good accuracy of the simulation.

Original languageEnglish
Article number103793
JournalFinite Elements in Analysis and Design
Volume209
DOIs
StatePublished - 15 Oct 2022

Keywords

  • Discrete Empirical Interpolation Method (DEIM)
  • Eddy-current problems
  • Energy Conserving Sampling and Weighting (ECSW)
  • Finite-Element-Method (FEM)
  • Magnetodynamic
  • Model-Order-Reduction (MOR)
  • Non-linear models

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