Title :
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
fDate :
7/1/2000 12:00:00 AM
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;
Journal_Title :
Magnetics, IEEE Transactions on