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The visualization of electric force lines in two‐dimensional electric field computation

The visualization of electric force lines in two‐dimensional electric field computation An algorithm for the visualization of the electric force lines is discussed. Based on the nodal potentials calculated by the conventional finite element method, the boundary conditions of the electric flux are determined by the integral of the electric displacement along all conductors. The finite element equations of the electric flux for two‐dimensional fields are derived. Especially for the axial symmetrical field, a new interpolation function is defined in order to avoid the infinity of the vector electric potential at the symmetrical axis. The nodal electric fluxes are calculated and the smooth electric force lines are visualized. Some examples show that this algorithm is very effective. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Engineering Computations Emerald Publishing

The visualization of electric force lines in two‐dimensional electric field computation

Xiang Cui
Engineering Computations , Volume 17 (2): 9 – Mar 1, 2000
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Publisher
Emerald Publishing
Copyright
Copyright © 2000 MCB UP Ltd. All rights reserved.
ISSN
0264-4401
DOI
10.1108/02644400010313110
Publisher site
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Abstract

An algorithm for the visualization of the electric force lines is discussed. Based on the nodal potentials calculated by the conventional finite element method, the boundary conditions of the electric flux are determined by the integral of the electric displacement along all conductors. The finite element equations of the electric flux for two‐dimensional fields are derived. Especially for the axial symmetrical field, a new interpolation function is defined in order to avoid the infinity of the vector electric potential at the symmetrical axis. The nodal electric fluxes are calculated and the smooth electric force lines are visualized. Some examples show that this algorithm is very effective.

Journal

Engineering Computations – Emerald Publishing

Published: Mar 1, 2000

Keywords: Electrical fields; Finite element method; Numerical analysis; Force; Algorithms

References

  • Computation of electric field with floating electrodes
    Cui, X.
  • A finite element algorithm of plotting electric force line in two‐dimensional electrostatic field computation
    Cui, X; Chen, L
  • Design of insulated structure for load‐ratio voltage power transformer by the finite element method
    Cui, X.; Liu, J; Xie, Y; He, R; Zhang, G.; Yang, C.
  • Transformer insulation engineering
    Kirch, H.J.
  • Novel scheme for drawing electric line of force using potential
    Ohchi, M; Furukawa, T.; Shimada, H
  • Complementary energy methods in the computation of electrostatic fields
    Penman, J; Fraser, J.R; Smith, J.R; Grieve, M.D.
  • Finite Elements for Electrical Engineers
    Silvester, P.P; Ferrari, R.L.
  • A new 132kV SF 6 insulated electrooptic instrument transformer
    Tonnesen, O