Computer Modeling of Supercapacitor with Cole-Cole Relaxation Model

Electric energy stored insupercapacitors is associated with ion movement between the porous electrodes . This phenomenon can be described by dielectric relaxation model. Cole-Davidson relaxation model application reported in publications is difficult to use for control purposes. In the paper for impedance of the supercapacitors description Cole-Cole relaxation model is applied. For impedance parameters identification Nedler-Mead simplex method is used. Supercapacitor impedance model simplification based on physical properties is presented. Such model can be easy used for calculations in Matlab environment with FOTF toolbox designed to fractional calculus. The example of modeling of dynamic system with supercapacitor impedance model is described. The effects of the simulation show that fractional model of superapacitors is important tool for exact description of its dynamics.