Modeling of Capacitance in A Supercapacitor

Abstract

A general supercapacitor model is developed by incorporating the effective surface area in the presence of pores. An analytical solution has been derived from the generic equation in Laplace domain based on the porous-electrode theory. This model demonstrates the effects of solution to matrix conductivity ratio, separator to electrode resistance ratio and discharge current density on the electrochemical impedance, capacitance and energy density of supercapacitor. The electrochemical impedance, capacitance and energy density of supercapacitor are calculated in this work. The maximum capacitance of 12.71 F/cm2was computed in low frequency range in this device. The proposed model can be applied to simulate the characteristics of polymer-based supercapacitor in near future.