Derivation of a general sensitivity formula for shape optimization of 2-D magnetostatic systems by continuum approach

Dong Hun Kim; Se Hee Lee; Il Han Park; Joon Ho Lee

doi:10.1109/20.996288

Derivation of a general sensitivity formula for shape optimization of 2-D magnetostatic systems by continuum approach

Dong Hun Kim, Se Hee Lee, Il Han Park, Joon Ho Lee

Department of Electrical Engineering

Sungkyunkwan University

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

This paper presents a generalized sensitivity formula that is applicable to any objective function of the optimization problems in two-dimensional (2-D) linear magnetostatic systems. For the objective function defined on an interface boundary as well as in a region, the shape design sensitivity expression is derived in a closed form from the augmented Lagrangian method, the material derivative concept and the adjoint variable method. The resultant sensitivity formula is expressed as a line integral along the interface boundary undergoing shape modification. Three shape design problems, whose objective functions are defined on an interface boundary or in a region, are tested to validate the derived sensitivity formula.

Original language	English
Pages (from-to)	1125-1128
Number of pages	4
Journal	IEEE Transactions on Magnetics
Volume	38
Issue number	2 I
DOIs	https://doi.org/10.1109/20.996288
State	Published - Mar 2002

Keywords

Adjoint variable method
Augmented Lagrangian method
Continuum approach
Design sensitivity analysis
Magnetostatic system
Shape optimization

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10.1109/20.996288

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abstract = "This paper presents a generalized sensitivity formula that is applicable to any objective function of the optimization problems in two-dimensional (2-D) linear magnetostatic systems. For the objective function defined on an interface boundary as well as in a region, the shape design sensitivity expression is derived in a closed form from the augmented Lagrangian method, the material derivative concept and the adjoint variable method. The resultant sensitivity formula is expressed as a line integral along the interface boundary undergoing shape modification. Three shape design problems, whose objective functions are defined on an interface boundary or in a region, are tested to validate the derived sensitivity formula.",

keywords = "Adjoint variable method, Augmented Lagrangian method, Continuum approach, Design sensitivity analysis, Magnetostatic system, Shape optimization",

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AU - Lee, Joon Ho

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AB - This paper presents a generalized sensitivity formula that is applicable to any objective function of the optimization problems in two-dimensional (2-D) linear magnetostatic systems. For the objective function defined on an interface boundary as well as in a region, the shape design sensitivity expression is derived in a closed form from the augmented Lagrangian method, the material derivative concept and the adjoint variable method. The resultant sensitivity formula is expressed as a line integral along the interface boundary undergoing shape modification. Three shape design problems, whose objective functions are defined on an interface boundary or in a region, are tested to validate the derived sensitivity formula.

KW - Adjoint variable method

KW - Augmented Lagrangian method

KW - Continuum approach

KW - Design sensitivity analysis

KW - Magnetostatic system

KW - Shape optimization

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JO - IEEE Transactions on Magnetics

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ER -

Derivation of a general sensitivity formula for shape optimization of 2-D magnetostatic systems by continuum approach

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Keywords

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