Calculation of electrostatic field in 3-D unbounded non-uniform domains by FEM with kelvin transformation

Issue title: Selected Papers from the 14th International Symposium on Applied Electromagnetics and Mechanics (ISEM 2009), Part I

Article type: Research Article

Authors: Zhang, Fang^a | Tang, Zhanghong^b | Dun, Yueqin^c | Yuan, Jiansheng^a

Affiliations: [a] State Key Lab of Power Systems, Tsinghua University, Beijing, 100084, China | [b] College of Materials Science and Engineering, Beijing University of Technology, Beijing, 100124, China | [c] School of Electronic Information and Control Engineering, Shandong Institute of Light Industry, Jinan, 250353, China

Abstract: An approach for solving the electrostatic field in 3-D unbounded domains is introduced in this paper, which is the combination of the finite element method (FEM) and the Kelvin transformation. The principle of this method is dividing the whole infinite region into two parts by a spherical surface. In the inner part with a sphere as the boundary, the ordinary finite element method is employed. As for the outer open-boundary part, the approach first transforms it into a finite closed domain that is of the sphere as the boundary, in which the transmuted FEM is used. It is allowed that the exterior open-boundary part is of non-uniform medium, such as unlimited domains or different shapes with different materials whose interfaces might extend to infinity.

Keywords: Electrostatic field, FEM, grounding, Kelvin transformation

DOI: 10.3233/JAE-2010-1127

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 33, no. 1-2, pp. 307-312, 2010