Analysis Method for Magnetostatic Field Without Region Integration in the Electrostatic Field Domain

Abstract

The magnetostatic analysis is important on the corrosion detection problems and the nondestructive inspection of the structures. Boundary element method is often used to the magnetostatic analysis conventionally because boundary element method does not require the discretization of the magnetostatic field domain and has an advantage for open domain problems. However, in case of the current density should be considered as the source of the magnetostatic field, the conventional method requires not only numerical calculation of current density distribution, but requires numerical region integration of this current distribution which has been calculated at discrete sample points. These two steps of discrete numerical calculation of 3D space increases computational time and loses the accuracy. In this paper, a new boundary integral method for analyzing magnetostatic field without the calculation and the integration of current density distribution in the electrostatic field domain which obeys Laplace equation is developed. The region integration of current density distribution is reduced to the infinite region integration of the fundamental solution using the derivative of the boundary integral equation for electrical potential field. Since the analytical calculation of the infinite region integration could be achieved, the accuracy and computational time are improved. In order to demonstrate the accuracy and efficiency of the present method, some example problems are solved, and compared with the conventional method. Present method is also applied to the practical electro-plating problem.