A new approach for solving vector optimization problems

Author

Schätzer, Ch ; Binder, A. ; Müller, W.

Author_Institution

Inst. fur Elektrische Energiewandlung, Tech. Univ. Darmstadt, Germany

Volume

36

Issue

4

fYear

2000

fDate

7/1/2000 12:00:00 AM

Firstpage

1071

Lastpage

1075

Abstract

A method is presented to solve parametric vector optimization problems. Vector optimization problems consist of n objectives (at least two) which are concurrently improved. The new approach is based on a stochastic search algorithm, and solves the problem directly without any transformation into scalar subproblems. The solution set describes a (n-1)-dimensional hyper plane, which is approximated by a finite number of points, being uniformly distributed among the hyper plane. As a practical application, the method is applied to optimize a 6-pole permanent magnet synchronous machine. The machine design is optimized with respect to two objectives, the internal power and the magnet volume. Objective 1 is maximized and objective 2 is minimized. The two design parameters “magnet width” and “magnet height” are variable between defined upper and lower bounds

Keywords

optimisation; permanent magnet machines; stochastic processes; synchronous machines; (n-1)-dimensional hyper plane; defined bounds; design parameters; internal power; machine design; magnet height; magnet volume; magnet width; parametric vector optimization problems; six-pole permanent magnet synchronous machine; stochastic search algorithm; Design optimization; Optimization methods; Permanent magnet machines; Stochastic processes; Upper bound;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.877626

Filename

877626