Dot Sensitivity Analysis of the Current Region for Topology Optimization in Magnetostatic Systems

This paper proposes dot sensitivity analysis of a current region for topology optimization. A continuum shape sensitivity formula is employed to derive a dot sensitivity formula in a simple closed form. The derived dot sensitivity formula provides the information on where the current dots should be...

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Bibliographic Details
Published inIEEE transactions on magnetics Vol. 55; no. 6; pp. 1 - 4
Main Authors Hong, Seung Geon, Lee, Kang Hyouk, Park, Il Han
Format Journal Article
LanguageEnglish
Published New York IEEE 01.06.2019
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects
Current region design
dot sensitivity analysis
Magnetic domains
Magnetic resonance imaging
Magnetism
magnetostatic system
Optimization
Sensitivity analysis
Shape
Topology
Topology optimization
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Summary:This paper proposes dot sensitivity analysis of a current region for topology optimization. A continuum shape sensitivity formula is employed to derive a dot sensitivity formula in a simple closed form. The derived dot sensitivity formula provides the information on where the current dots should be created for topology optimization. This is necessary to generate the current dots in a vacant region of the design domain. Because this dot sensitivity analysis can obtain various topologies of material distribution, the possibility of local optimum convergence is reduced. Furthermore, because this dot sensitivity analysis does not require a specific initial design, its numerical implementation is simple. This dot sensitivity method is combined with the level set method to perform topology optimization. To demonstrate the usefulness of the proposed method, it is applied to two optimization problems of magnetic resonance imaging.
ISSN:0018-9464
1941-0069
DOI:10.1109/TMAG.2019.2900552