An effective application of Schwarz-Christoffel transformations to the shape design of permanent-magnet motors

Article type: Research Article

Authors: Costamagna, Eugenio^b | Di Barba, Paolo^{a; *} | Savini, Antonio^a

Affiliations: [a] Department of Electrical Engineering, University of Pavia, I-27100 Pavia, Italy | [b] Department of Electronics, University of Pavia, I-27100 Pavia, Italy

Correspondence: [*] Corresponding author: Prof. Paolo DI Barbam, Dept. 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: Performance analysis and optimal design procedures are presented and discussed for a class of small permanent-magnet motors, with reference to a six-pole device with various tooth geometries. Numerical procedures based on robust algorithms for Schwarz-Christoffel transformations are used to obtain suitable 2D models of the device and to perform its shape optimization. The latter is cast as an inverse-transformation problem considering suitable geometrical features. The paper improves the analysis methodology already developed by the authors and presents a new approach to optimal design leading to a fast computation.

Keywords: Schwarz-Christoffel transformations, finite elements, optimal shape design, permanent-magnet motor

DOI: 10.3233/JAE-2005-667

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 21, no. 1, pp. 21-37, 2005