Evaluation of the Capacitance and Charge Distribution for Conducting Bodies by Circuit Modelling

Abstract

This paper presents a numerical analysis for computation of free space capacitance of different arbitrarily shaped conducting bodies based on the finite element method with triangular subsection modeling. Evaluation of capacitance of different arbitrary shapes is important for the electrostatic analysis. Capacitance computation is an important step in the prediction of electrostatic discharge which causes electromagnetic interference. We specifically illustrated capacitance computation of electrostatic models like unit cube, rectangular plate, triangular plate, T-shaped plate, sphere and two touching spheres. Numerical data on the capacitance of conducting objects are presented. The results are compared with other available results in the literature. We used the COMSOL Multiphysics software for the simulation. The models are designed in three-dimensional form using electrostatic environment and can be applied to any spacecraft circuit modeling design. The findings of this study show that the finite element method is a more accurate method and can be applied to any circuit modeling design.

Perturbative Approach for the Analysis of Charge Distribution on Arbitrarily Shaped Conductors

“…In [6], [7] the authors perform a numerical analysis of electrostatic problems. In [8], [9] the authors, respectively, study analytically and numerically the capacitance of different arbitrarily shaped conductors. Several practical problems are related to the identification of the charge distribution and possibly its optimization, on thin surface domains, for instance, in energy harvesting and designing devices [10], [11], semiconductors [12], photovoltaics, and optoelectronics [13], [14].…”