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An Adaptive Finite Element Method for Minor Shape Modification in Optimization Algorithms | IEEE Journals & Magazine | IEEE Xplore

An Adaptive Finite Element Method for Minor Shape Modification in Optimization Algorithms


Abstract:

In this paper, we propose a method of adaptive finite element meshing, which is effective for minor shape modifications in optimization of electric machines. In the metho...Show More

Abstract:

In this paper, we propose a method of adaptive finite element meshing, which is effective for minor shape modifications in optimization of electric machines. In the method, the mesh for the new shape in the optimization process is generated from the mesh of the previous shape with minimum modification. The locations of the nodes for the new shape are decided by solving the Laplace's equation, whose unknowns are displacements of the nodes. The adaptive finite element meshing is started from the modified mesh. The method can reduce the calculation time and improve the quality of the optimized results.
Published in: IEEE Transactions on Magnetics ( Volume: 44, Issue: 6, June 2008)
Page(s): 1202 - 1205
Date of Publication: 20 May 2008

ISSN Information:


I. Introduction

Recently, electromagnetic field analysis using the finite element method became an indispensable tool for development of electric machines. Thousands of iterative calculations are often carried out to optimize the shapes of the machines. However, considerable time and effort are frequently needed to make proper finite element meshes in the optimization process. Furthermore, the results of the finite element analysis are determined not only by the variation of the shape of the machine, but also by the variation of the mesh. Thus, it can be said that relatively dense meshes should be required to estimate the machine characteristics, especially in the case of the minor shape modifications.

References

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