Precise Calculation of Electrical Capacitance by means of Quadruple Integrals in Method of Moments Technique

TL;DR

This paper introduces a refined method for calculating electrical capacitance using quadruple integrals within the method of moments, enhancing accuracy and efficiency for simple capacitor geometries.

Contribution

It proposes the use of quadratic integrals instead of binary integrals in MOM, providing analytical solutions that improve calculation precision for capacitance.

Findings

Very small error in capacitance calculation with coarse boundary division

Analytical formulas facilitate easy implementation

Method applicable to similar capacitor geometries

Abstract

In this paper, the capacitance of a parallel plate air-gap rectangular capacitor, and a unit cube capacitor have been calculated. Because of its generality and simplicity, the method of moments (MOM) Technique is utilized. In order to improve the accuracy of the calculations, the use of quadratic integrals instead of binary integrals has been proposed. A neat form is provided for the analytical solution of the integrals required for the method of moment. The results show that there is a very small error in calculating the capacity even with coarse boundary division. The described formulas and codes can easily be used for similar purposes.