An Analytical Model of a Disk Magnetoelectric Inverted Motor Based on the 3D Method of Separation of Fourier Variables

Abstract

Solutions of equations of mathematical physics for the 3D Laplace equation for a hollow cylinder are used to develop an analytical model of an inverted disk magnetoelectric motor with two axial air gaps based on the Fourier variable separation method. Unknown constants of this method are found using four known boundary conditions of the electromagnetic field on the common end surfaces of hollow cylinders: scalar magnetic potentials and three coordinate components of magnetic induction do not undergo a jump (discontinuity). If, for convenience of calculation, the magnetic sheets of the windings are located at these boundaries, the magnetic potentials on them will undergo a jump equal to the total current of the magnetic sheet. The distribution curves of magnetic inductions in the air gaps and the values of the electromagnetic torque of the motor are obtained, which are compared with the results of numerical calculation using the Ansys Maxwell program. The good agreement between the results obtained indicate the reliability of the proposed analytical model of a disk-type inverted motor.