Charging dynamics of a supercapacitor: a multiple-stack model studied by Poisson-Nernst-Planck equations and equivalent RC circuits.
Unibaso Berrueta, M.
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In the last few years supercapacitors, high performance electricity storage systems, have attracted the attention of researchers due to the fundamental interest and wide range of applications. Carbon-based electrodes provide a larger capacitance thanks to their large surface area which has already been widely studied for the case of a single-plate capacitor. Hence, we have developed a new model trying to mimic the behaviour of a supercapacitor by a multiple-stack electrode-electrolyte system. We first analyse it solving Poisson-Nernst-Planck equations and by an equivalent equilibrium circuit model, with a sudden switching-on of the potential. Then, we go a step further in the circuit model to give solution for any time-dependent potential, though just a triangular periodic one is chosen to be studied within the thesis. Finally, we also make some simulations varying the geometry of the model.