The Non-Linear Potential Equation and Its Numerical Solution for Highly Saturated Electrical Machines

The partial differential equations of the potential and the boundary conditions of fields in highly saturated rotating machines at no-load are developed. These are expressed in finite difference form, and in the numerical solution the potentials and the permeabilities are over-relaxed alternately. The choice of a non-uniform system of meshes, and a method of identifying the numerical operations at the mesh points are given. Companion papers illustrate the application of the method.