Abstract

MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores

Highlights

  • A N ACCURATE and efficient simulation of the eddy currents (ECs) in laminated iron cores by the finite-element method (FEM) is of great interest in the design of electrical devices

  • The multiscale finite-element method (MSFEM) has brought a great progress in solving the EC problem (ECP) in laminated cores, the complexity of the MSFEM models is still too large to become a routine task for engineers

  • The idea of this article is to exploit the MSFEM for laminated cores to compute a few SNSs at selected time instants for the reduced basis of a large nonlinear problem with reasonable effort

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Summary

INTRODUCTION

A N ACCURATE and efficient simulation of the eddy currents (ECs) in laminated iron cores by the finite-element method (FEM) is of great interest in the design of electrical devices. Modeling of each laminate of an iron core by finite elements would lead to extremely large nonlinear systems of equations impossible to reasonably solve with present computer resources. Proper orthogonal decomposition (POD) based the MOR on using snapshots (SNSs) to select an optimal basis for the reduced model. This has been applied to solve large-scale linear problems very successfully [3]. The idea of this article is to exploit the MSFEM for laminated cores to compute a few SNSs at selected time instants for the reduced basis of a large nonlinear problem with reasonable effort.

EDDY-CURRENT PROBLEM
MULTISCALE FEM
MODEL ORDER REDUCTION
NUMERICAL EXAMPLE
Selection of the SNSs
Error in the Overall Losses P
Error in the Distribution of the Magnetic-Flux Density B
COMPUTATIONAL COSTS
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