1998
DOI: 10.1109/20.717698
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Niching genetic algorithms for optimization in electromagnetics. II. Shape optimization of electrodes using the CSM

Abstract: In this paper, we present a new approach for automatic design of electrodes. The investigated method consists in identifying an optimal shape from an optimal equipotential resulting from a system of point charges. The electric field and potential are computed using the point charge simulation method. Niching genetic algorithms and constrained optimization techniques are applied to the electrode benchmark in order to find multiple optimal profiles.

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Cited by 32 publications
(3 citation statements)
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“… Detailed design models consist in designing the whole component: choosing the geometrical dimensions, the type of material, etc. The complexity depends on the study context : from a simple routine made of analytical equations to a model made of numerical simulations coupled with optimization algorithms [24].  Meta models and response surface approximations (also called surrogate models) is a mathematical method enabling to model analytically a phenomena or a system according to a limited number of references.…”
Section: Evaluation Function : Multi-physical Sizing Processmentioning
confidence: 99%
“… Detailed design models consist in designing the whole component: choosing the geometrical dimensions, the type of material, etc. The complexity depends on the study context : from a simple routine made of analytical equations to a model made of numerical simulations coupled with optimization algorithms [24].  Meta models and response surface approximations (also called surrogate models) is a mathematical method enabling to model analytically a phenomena or a system according to a limited number of references.…”
Section: Evaluation Function : Multi-physical Sizing Processmentioning
confidence: 99%
“…The optimal electrode profile from the point B to the point C is given as follows: (8) The problem is solved using the electrode shape optimization method described in [8]. A geometric template has been designed to find an equivalent equipotential to the electrode shape [see Fig.…”
Section: A Principlementioning
confidence: 99%
“…The question then is how can several minima in a particular design space be identified simultaneously? One proposed solution (Sareni et al, 1997a;1997b) is to use a genetic algorithm which explores the design space with several populations, or`n iches'' rather than just one. The niches are designed to span the design space and individuals are assigned to niches using a Hamming distance calculation based on a binary string which encodes the parameters of the device.…”
Section: Introductionmentioning
confidence: 99%