Optimal design by boundary element method with fuzzy inference

Author

Enokizono, Masato ; Tsuchida, Yuji

Author_Institution

Dept. of Electr. & Electron. Eng., Oita Univ., Japan

Volume

30

Issue

5

fYear

1994

fDate

9/1/1994 12:00:00 AM

Firstpage

3447

Lastpage

3450

Abstract

This paper presents an optimal design method by means of fuzzy inference. We have already reported the boundary element method with modifying elements, and shown that the objective shape has been obtained with the iterative calculation which utilizes the least square method. However, we have experienced in some cases that the iterative solution does not converge to a certain value. In order to improve the convergency of this method we apply fuzzy inference to the iterative procedure. In this paper, we show that the converged values are obtained even for ill conditioned problems by using the presented method. The advantage of this method is that the iterations can be considerably reduced in comparison with our conventional method

Keywords

boundary-elements methods; electromagnets; fuzzy set theory; inference mechanisms; iterative methods; least squares approximations; optimisation; permanent magnets; wigglers; boundary element method; converged values; convergency; fuzzy inference; ill conditioned problems; iterative calculation; iterative solution; least square method; objective shape; optimal design; wigglers design; Boundary element methods; Design engineering; Design methodology; Integral equations; Inverse problems; Iterative methods; Machinery; Magnetic flux; Magnetic flux density; Shape;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.312680

Filename

312680