Abstract
Phenomena occurring in a switched magnetoelectric motor can be considered in its non-magnetic gap, which should also embrace the layer of a high-energy magnet. Complex periodic potential functions serve as a mathematical basis for analytically solving the Dirichlet problem in a non-magnetic gap having the shape of an infinite horizontal strip with boundaries confined by two parallel straight lines. The imaginary components of the complex potential functions at the boundaries of the above-mentioned strip represented by trigonometric Fourier series are the known scalar magnetic potentials of the stator winding and permanent magnets on the rotor, which are the magnetic field sources.A comparatively large width of the considered strip results in that the magnetic field in it is two-dimensional in nature due to the presence of permanent magnets. The boundary sources of magnetic field can be used for generating additional magnetic fields corresponding to the stator’s virtual teeth. The geometrical structure of the virtual teeth, which determines the amplitudes of tooth magnetic inductions, can be accurately taken into account using conformal transformation of a non-uniform air gap into an infinite strip or approximately based on the specific permeance method.
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