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Study on the Multiple Capacitors to Enhance Electric Field Strength Using Mathematical Modeling and Computational Analysis

June 29, 2020
by Ivy Liang

 

Abstract: Renewable, green energy is an important field of research amidst the 21st century energy crisis. Many of the researches around the world had been consistently looking for new energy sources, but not as much as on the efficient storage of energy produced from these eco-friendly sources. This research considers how to increase the capacitance through inserting various types of dielectrics to use them as a substantial tool for sustainable development. 

The research focuses on calculating the capacitances of batteries with diverse dielectrics, differing the combinations and geometrical structure of capacitors in order to figure out the capacitances of batteries that can store more energy with better efficiency. Mathematical, physical and computational analysis were employed to figure out the capacitances and stored energy. MATLAB computer programming was used to calculate potential charge distribution within capacitors, the change in the capacitance and electric field of plate capacitors. 

Using mathematical calculations, general expressions for computing the relationship between capacitance and insulation material characteristics, such as dielectric constant, plate dimensions, for n-number of plate capacitors were found. Also the relationship between capacitance, dielectric constant, capacitor dimensions for a thin-walled hollow cylinder was studied. In this work, we showed the influence of the multi-plate capacitor system taking into account the geometrical and types of combinations of the conducting plates.

Keywords: Green energy, capacitance, dielectric constant, conducting plates

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