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

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.