Robust Global Optimization of Electromagnetic Devices With Uncertain Design Parameters: Comparison of the Worst Case Optimization Methods and Multiobjective Optimization Approach Using Gradient Index

Author

Ziyan Ren ; Minh-Trien Pham ; Chang Seop Koh

Author_Institution

Coll. of Electr. & Comput. Eng., Chungbuk Nat. Univ., Cheongju, South Korea

Volume

49

Issue

2

fYear

2013

fDate

Feb. 2013

Firstpage

851

Lastpage

859

Abstract

The uncertainties in design variables are unavoidable in the optimal design of electromagnetic devices, and there is an imperative demand to find a robust design, which is insensitive to the uncertainties and remains within the feasible region of constraints even perturbed by the uncertainties. In this paper, a gradient-based worst case optimization (G-WCO) algorithm is proposed in a limited uncertainty set to increase the numerical efficiency based on the worst case optimization (WCO) algorithm. Through applications to the robust optimal design of TEAM 22, the performances of the proposed G-WCO, conventional WCO, and multiobjective optimization approach using gradient index (GI) are compared.

Keywords

electromagnetic devices; electronic engineering computing; optimisation; TEAM 22 robust optimal design; design parameter; design variable; electromagnetic devices global optimization; gradient index; gradient-based worst case optimization algorithm; multiobjective optimization approach; numerical efήciency; worst case optimization method; Algorithm design and analysis; Computational efficiency; Finite element methods; Indexes; Optimization; Robustness; Uncertainty; Gradient-based worst case optimization (G-WCO); multiobjective optimization approach using gradient index; robust optimal design; uncertainty; worst case optimization;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/TMAG.2012.2212713

Filename

6264100