Low-order mathematical modelling of electric double layer supercapacitors using spectral methods

摘要: Abstract This work investigates two physics-based models that simulate the non-linear partial differential algebraic equations describing an electric double layer supercapacitor. In one model linear dependence between electrolyte concentration and conductivity is accounted for, while in other it not. A spectral element method used to discretise found error convergence rate with respect number of elements faster compared a finite difference method. The increased accuracy approach means that, for similar level solution accuracy, simulation computing time approximately 50% suggests could be control state estimation purposes. For typical supercapacitor charging profile, numerical solutions from both closely match experimental voltage current data. However, when dilute or where there long time, noticeable observed. Electrical impedance spectroscopy simulations show capacitance rapidly decreases frequency perturbation exceeds upper threshold.