DocumentCode :
786944
Title :
Magnetic design optimization and objective function approximation
Author :
Canova, Aldo ; Gruosso, Giambattista ; Repetto, Maurizio
Author_Institution :
Dipt. di Ingegneria Elettrica Industriale, Politecnico di Torino, Italy
Volume :
39
Issue :
5
fYear :
2003
Firstpage :
2154
Lastpage :
2162
Abstract :
This paper addresses the problem of optimizing a device by using an interpolation of the objective function. Optimization by means of stochastic methods can explore the objective function and give reliable indications on its global extrema, but the number of function calls can be unacceptably large when numerically evaluated functions are used. An optimization procedure applied not directly on the objective function but on its interpolation can significantly reduce the cost of the optimization. An efficient coupling between interpolation technique and optimization method is needed both to explore features of the optimization algorithm and to exploit advantages of the interpolation. This paper analyzes the performance of a multiquadric interpolation procedure on analytical functions and on finite-element evaluations.
Keywords :
finite element analysis; function approximation; genetic algorithms; interpolation; magnetic devices; response surface methodology; analytical functions; finite-element evaluations; genetic algorithm; interpolation; magnetic design optimization; magnetic device; multiquadric interpolation procedure; objective function approximation; optimization cost reduction; optimization procedure; response surface; Constraint optimization; Cost function; Design optimization; Finite element methods; Function approximation; Interpolation; Optimization methods; Performance analysis; Polynomials; Stochastic processes;
fLanguage :
English
Journal_Title :
Magnetics, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9464
Type :
jour
DOI :
10.1109/TMAG.2003.817076
Filename :
1233026
Link To Document :
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