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This paper presents an analytical approach to the magnetic field and the inductances of slotless permanent magnet machines with two types of winding. On the basis of a magnetic vector potential and a two-dimensional polar system, analytical solutions for flux density due to a permanent magnet and current are obtained. In addition, self and mutual inductances are obtained using the energy relationship. The analytical results are extensively validated by the nonlinear finite element method and by experimental results.

Comparative Analysis on Magnetic Field and Inductances of Slotless Permanent Magnet Machine with Two Types of Winding based on Analytical Method