Multiobjective design optimisation: A microeconomics-inspired strategy applied to electromagnetics

Article type: Research Article

Authors: Di Barba, P.^a

Affiliations: [a] Department of Electrical Engineering, University of Pavia, Via Ferrata 1, I-27100 Pavia, Italy. Tel.: +39 0382 505250; Fax: +39 0382 422276; E-mail: [email protected]

Abstract: In the paper the method of gradient balance is revisited from microeconomics and proposed in electromagnetics as an alternative formulation of a design optimisation problem, characterized by two objective functions; this formulation exploits the design space directly. Accordingly, a numerical procedure to approximate a non-dominated solution was implemented; after validating the numerical procedure by means of an analytical benchmark, a field-based case study was developed.

Keywords: multiobjective optimisation, shape design, evolutionary methods, finite elements, inverse magnetostatics

DOI: 10.3233/JAE-2005-674

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 21, no. 2, pp. 101-117, 2005