3-D magnetostatic field calculation by a single layer boundary integral equation method using a difference field concept

For an accurate analysis of three dimensional linear magnetostatic problems, a new boundary integral equation formulation is presented. This formulation adopts difference magnetic field concept and uses single layer magnetic surface charge as the unknown. The proposed method is capable of eliminating numerical cancellation errors inside ferromagnetic materials. In addition, computing time and storage memory are reduced by 75% in comparison with the reduced-and total scalar potential formulations. Two examples are given to show its efficiency and accuracy.