Feasibility Study on Estimation of Permittivity Distribution by using Genetic Algorithm and Finite Element Analysis

Abstract

We have investigated a measurement system for permittivity distribution based on the measured capacitance using a pair of large distance electrodes with shield and additional electrodes. However, the estimation of the permittivity distribution has not yet been established. In the paper, we propose a new numerical estimation method based on genetic algorithm (GA) and finite element method (FEM). The gene in the present GA method will have the information on such parameters as the location, radius and relative permittivity of a dielectric. The estimation of capacitance was done by using FEM with the numerical mesh data generated by the information on the gene. We also describe the feasibility of estimation of permittivity distribution using GA and FEM. 

Study on estimating electric potential in space between parallel electrodes

“…We have carried out numerous studies on estimating the internal permittivity distribution of subjects based on the spatial potential measured together with the capacitance. In traditional electromagnetics, it is thought that changing the position of the dielectric placed between there is the electrodes of a parallel plate capacitor has no influence on capacitance.…”

Numerical electric field analysis of capacitance and potential in space for estimation of permittivity distribution

“…Thus, obtained results indicate that electrostatic capacitance and spatial potential vary with dielectric's position. We also applied genetic algorithms and numerical analysis to estimate permittivity distribution in measured objects from experimental values of capacitance and potential . In a previous study, we varied distance from the center of experiment device to dielectric and the dielectric's diameter to show through numerical electric field analysis that capacitance and potential varied with the angle of rotation .…”

Study on a Measuring Method of Permittivity Distribution of Functionally Graded Material

“…In the past research, the capacitance of a target object having non-uniform permittivity is measured from its periphery, and the permittivity distribution inside the object is estimated by extrapolation [2][3][4][5][6][7][8][9][10]. In those studies, not only measurement experiments have been conducted, but a numerical analysis of an electric field using the finite element method has been reported.…”