Electric field calculation in composite dielectrics by curved surface charge method based on electric flux continuity condition

Abstract

AbstractThis paper describes triangular surface charge methods (SCM) using a curved shape function for calculating electric fields in composite dielectrics. In SCM, the boundary condition on dielectric surface is conventionally represented by the point matching of a normal component of electric flux density (Dn), which we call the Dp method. We have proposed a method based on the continuity equation of electric flux, which is termed the Φs method. The electric flux is calculated by numerically integrating Dn on each corresponding partial area with proper weight functions. When the continuity of the electric potential (V) is also needed, the point matching of V is adopted conventionally (Vp method). We have applied the same integral procedure as the Φs method to the continuity condition of V by replacing Dn with V for the kernel of the integral equation, and we obtained a new representation of potential condition (Vs method).We have computed the electric field for a spherical dielectric under a uniform field. The calculated results show that the Φs method improves the accuracy of the field by about two orders compared with the Dp method, and that the Vs method gives accuracy comparable to the Vp method. The proposed techniques attain the accuracy of the electric field at the spherical center almost equal to the accuracy of the total surface area of the simulating sphere. © 2002 Wiley Periodicals, Inc. Electr Eng Jpn, 141(3): 9–16, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/eej.2017