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DC capacitor simulation by the boundary element method

  1. Stephen Kirkup†,*

Article first published online: 4 DEC 2006

DOI: 10.1002/cnm.929

Issue

Communications in Numerical Methods in Engineering

Communications in Numerical Methods in Engineering

Volume 23, Issue 9, pages 855–869, September 2007

Additional Information

How to Cite

Kirkup, S. (2007), DC capacitor simulation by the boundary element method. Commun. Numer. Meth. Engng., 23: 855–869. doi: 10.1002/cnm.929

Author Information

  1. Cluster Computing and Engineering Research Group, East Lancashire Institute, Duke Street, Blackburn, U.K.

  1. †

    www.elihe.ac.uk/research

*Cluster Computing and Engineering Research Group, East Lancashire Institute, Duke Street, Blackburn, U.K.

  1. †

    www.elihe.ac.uk/research

Publication History

  1. Issue published online: 10 AUG 2007
  2. Article first published online: 4 DEC 2006
  3. Manuscript Accepted: 28 AUG 2006
  4. Manuscript Revised: 6 AUG 2006
  5. Manuscript Received: 5 MAY 2006

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Keywords:

  • boundary element method;
  • BEM;
  • capacitor;
  • electrostatics;
  • Laplace equation

Abstract

When the direct current (DC) metallized thin film capacitor is fully charged the electromagnetic fields can be considered to have reached a steady state in which the governing equation is Laplace's equation. It is the computational analysis of the electrostatic state that is considered in this paper.

The capacitor is modelled as a stack made up of infinitesimally thin layers of metal on polymer. An integral equation method from the BEMLAP package (www.boundary-element-method.com (Introduction to the Boundary Element Method for Scientists and Engineers: The BEMLAP Fortran Library for Laplace Problems)) for modelling the electric field, based on the methods described in Kirkup (Fortran codes for computing the discrete Helmholtz integral operators; Adv. Comput. Math. 1998; 9:391–409). The method is applied to a typical capacitor structure and encouraging results are obtained. Copyright © 2006 John Wiley & Sons, Ltd.

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