Global method of evaluating nodal field intensity based on known nodal potentials by the 3D finite element method

被引：0
作者：
Zuo, Peng [1 ]
Zou, Jun [1 ]
Yuan, Jiansheng [1 ]
机构：
[1] State Key Lab of Control and Simulation of Power Systems and Generation Equipments, Department of Electrical Engineering, Tsinghua University, Haidian District, Beijing
来源：
Zhongguo Dianji Gongcheng Xuebao/Proceedings of the Chinese Society of Electrical Engineering | 2015年 / 35卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Finite element method (FEM); Moment method; Nodal field intensity calculation; Vector basis function;
D O I：
10.13334/j.0258-8013.pcsee.2015.05.027
中图分类号：
学科分类号：
摘要：
By using nodal FEM, nodal potential values are obtained accurately, but using accurate nodal potential values cannot obtain the same accurate field intensity value. In order to improve field intensity precision calculated by known potentials, this paper presents a global solving method. This method could obtain FEM equations by discretizing electric potential gradient equation, based on facial vector basis functions. Taking advantage of global distribution information of electric potential, this method could enhance field intensity precision and get more accurate solution than the local element post processing method. During derivation of FEM equations, gradient operation of discrete potentials is avoided, which could dramatically improve field intensity precision and totally overcome the error of local element post processing method. The new method could not only be used in static electric field evaluation problem, but also in other vector field value calculation problems based on known potential values. ©2015 Chin.Soc.for Elec.Eng.
引用
收藏
页码：1243 / 1249
页数：6
相关论文
共 18 条
  • [1] Zhou X., Shao H., Numerical Computation of Static Electromagnetic Field, pp. 57-85, (1987)
  • [2] Liang K., Method of Mathematical Physics, pp. 303-321, (2010)
  • [3] Borges Da Silva J.F., Machado V.M., Accurate gradient field evaluation using node potential values obtained by the finite element method, IEE Proceedings-Science Measurement Technology, 152, 4, pp. 149-154, (2005)
  • [4] Chen S.X., Low T.S., Mah Y.A., Et al., Super convergence theory and its application to precision force calculation, IEEE Transactions on Magnetics, 32, 5, pp. 4275-4277, (1996)
  • [5] Manfred K., Jurgen F., Highly accurate computation of field quantities and forces by superconvergence in finite elements, IEEE Transactions on Magnetics, 31, 3, pp. 1424-1427, (1995)
  • [6] Dennis G., Steve M., An experimental study of superconvergence phenomena in finite element magnetics, IEEE Transactions on Magnetics, 33, 5, pp. 4137-4139, (1997)
  • [7] Cui X., Xie X., Complementary variational method for calculating electromagnetic field variables E and B, Proceedings of the CSEE, 8, 2, pp. 22-32, (1988)
  • [8] Ni C., Feng C., Ni G., Electrom-agnetics energy and parameter computation by complementary-dual energy method, Journal of Xi'an Jiaotong University, 20, 3, pp. 91-101, (1986)
  • [9] Sheng J., Numerical Analysis on Engineering Electromagnetic Field, pp. 8-19, (1991)
  • [10] Schaubert D.H., Wilton D.R., Glisson A.W., A tetrahedral modeling method for electromagnetic scattering by arbitrarily shaped inhomogeneous dielectric bodies, IEEE Trans. on Antennas and Propagation, 32, 1, pp. 77-85, (1984)
12