DESIGN OF ELECTRICAL MACHINES BY USING CONFORMAL MAPPING
Abstract
The design of electrical machines requires good working knowledge of magnetic fields in air gaps, which is very difficult or analytically unsolvable in most cases. With the development of computers, numerical methods came to the fore, enabling very good approximations of real values to be calculated. One of the major disadvantages of numerical methods is the duration of the calculations, particularly with the construction of prototypes, in which the structure changes, thus requiring more calculations. With the goal of bringing about quicker calculations, analytical methods were used, and combinations of analytical methods with numerical methods were re-started. This article will present an analytical calculation of magnetic fields using conformal mappings.
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References
D. Žarko, D. Ban, T.A. Lipo: Analytical Calculation on Magnetic Field Distribution in the Slotted Air Gap of a Surface Permanent-Magnet Motor Using Complex Relative Air-Gap Permeance, IEEE Trans. Magn., vol. 42, no. 7, pp. 1828–1837, 2006
W.J. Gibbs: Conformal Transformations in Electrical Engineering, Chapman & Hall, 1958
M. Marković, M. Jufer, Y. Perriard: Determination of Tooth Cogging Force in a Hard-Disk Brushless DC Motor, IEEE Trans. Magn., vol. 41, no. 12, pp. 4421–4426, 2005
Z. Q. Zhu, D. Howe: Instantaneous Magnetic Field Distribution in Brushless Permanent Magnet dc Motors, Part III: Effect of Stator Slotting, IEEE Trans. Magn., vol. 29, no.1, 1993