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Analytical expressions for electrochemical supercapacitor with potential dependent capacitance

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Abstract Distinctly from ordinary capacitors which have a fixed capacitance, the capacitance of electrochemical supercapacitors is dependent on the applied potential. This feature introduces an additional complication to the analytical… Click to show full abstract

Abstract Distinctly from ordinary capacitors which have a fixed capacitance, the capacitance of electrochemical supercapacitors is dependent on the applied potential. This feature introduces an additional complication to the analytical solution representing the supercapacitor circuit. Here a simplified equivalent circuit of electric double layer capacitors or electrochemical supercapacitors is proposed so that expressions evaluating the potential-dependent capacitance are derived considering short periods of charging and discharging process as in cyclic voltammetry carried out in a few minutes. Comparisons between such theoretical development and experimental cyclic voltammetry data – presenting a very good agreement – are presented and discussed.

Keywords: analytical expressions; dependent capacitance; expressions electrochemical; supercapacitor; potential dependent; capacitance

Journal Title: Journal of Energy Storage
Year Published: 2021

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