Level Set-Based Topology Optimization for Electromagnetic Systems

This research presents a level set-based topology optimization for electromagnetic problems dealing with geometrical shape derivatives and topological design. The shape derivative is computed by an adjoint variable method to avoid numerous sensitivity evaluations. A level set function interpolated i...

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Bibliographic Details
Published in:IEEE transactions on magnetics 2009-03, Vol.45 (3), p.1582-1585
Main Authors: Hokyung Shim, Vinh Thuy Tran Ho, Semyung Wang, Tortorelli, D.A.
Format: Article
Language:English
Subjects:
Computational efficiency
Convergence
Cross-disciplinary physics: materials science
rheology
Derivatives
Design engineering
Design optimization
Equations
Evolution
Exact sciences and technology
Free boundaries
Gradient-based optimization
Hamilton-Jacobi equation
Level set
level set (LS) method
Magnetism
Materials science
Mathematical models
Mechatronics
Optimization
Optimization methods
Other topics in materials science
Physics
radial basis function
Shape control
shape derivative
Topology
Topology optimization
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Summary:This research presents a level set-based topology optimization for electromagnetic problems dealing with geometrical shape derivatives and topological design. The shape derivative is computed by an adjoint variable method to avoid numerous sensitivity evaluations. A level set function interpolated into a fixed initial domain is evolved by using the Hamilton-Jacobi equation. The moving free boundaries (dynamic interfaces) represented in the level set model determine the optimal shape via the topological changes. In order to improve efficiency of level set evolution, a radial basis function (RBF) is introduced. The optimization technique is illustrated with 2-D example captured from 3-D level set configuration and the resulting optimum shape is compared to conventional topology optimization.
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2009.2012748