Modeling of Mathematical Equation for Determining Breakdown Voltage

Abstract

Breakdown voltage in gases is determined in different various electrodes gaps and geometries. There is a mathematical equation had been developed throughout experimental work, but when considering the physical and environmental factor such as humidity, temperature and pressure, the mathematical equation is limited to express the breakdown voltage. Taking into account this problem, Dimensional Analysis (DA) is used to show the relationship between the factors such as physical parameter and environmental condition that contribute to the breakdown voltage. The mathematical equation has been developed from a set of variables into a set of dimensionless product which provide relationship between the parameters. The mathematical equation model is then used to study the characteristics of breakdown voltage. In order to validate and finalize the developed equation, simulations have been conducted using the experimental data from the previous works. Comparative study between previous experimental works with simulation results have been done as the results are almost similar.