Computer Generated Polucentric Grid Design and a Novel Dynamic Acceleration of Convergence for the Iterative Solution of Magnetic Fields Based on the Finite Difference Method

A program for the generation of a polycentric grid which fosters the application of numerical methods of computing magnetic fields in electrical power engineering is described. To achieve a still faster convergence of the finite difference method developed at the University of Colorado [1,2,3], a new complementary dynamic acceleration with an iteration degree larger than one is introduced. Estimates of truncation errors based on first-and second-order approximations of the potentials show that the error approaches zero asymptotically with increasing number of grid points.