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

2022/06/04 by Saeed Sarkarati, Sarkarati, Saeed, M.M. Tehranchi +3 · 1 citation
Engineering · Physics and Astronomy · #Computational Engineering #Computational Physics (physics.comp-ph) #Electromagnetic Scattering and Analysis #FOS: Computer and information sciences #FOS: Physical sciences #Finance #Induction Heating and Inverter Technology #Numerical methods in engineering #and Science (cs.CE)

paper · pdf · doi:10.48550/arxiv.2206.04795

openalex publication_date 2022/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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