Nonlinear magnetic field solutions based on a vector magnetic potential

The earlier successful techniques for numerical solution of magnetic field problems required defining a field quantity and magnetic permeability over the problem grid model. Later improved but limited techniques were introduced whereby it was necessary to define only a field quantity, usually a potentia function, over the grid because the magnetic material characteristics were incorporated directly into the equations. The work presented in this paper represents a culmination of these latter efforts in that technique is presented whereby the general three-dimensional magnetic field boundary value problem with current regions can be solved numerically.