e-journal
Mathematical functions for optimisation of conducting polymer/activated carbon asymmetric supercapacitors
a b s t r a c t
Equations routinely used to describe the properties of conventional symmetric electrochemical doublelayer
capacitors (EDLCs) are expanded to develop straightforward mathematical functions that can
effectively describe the performance characteristics of asymmetric supercapacitors based on electrically
conducting polymer and activated carbon (ECP–AC) electrodes. Formulae are developed to describe cell
parameters (based on total active material mass) such as maximum specific capacitance (F g−1), maximum
specific energy (Whkg−1), and optimum electrode mass ratios that can be used for maximising
the specific energy of asymmetric cells. The electrode mass ratios are found to have a significant impact
on the swing voltages across the positive and negative electrodes. Illustrative EDLC and ECP–AC devices
are explored and employed to verify the derived equations that serve to predict essential parameters of
both symmetric and asymmetric systems, irrespective of electrolyte ion concentration, solvent or species
and independent of voltage. The utility of the equations is demonstrated by predicting cell parameters
for a number of theoretical asymmetric ECP–AC systems and used to correlate experimentally obtained
parameters.
Keywords: Electrochemical double-layer capacitor, Ultracapacitor, Asymmetric supercapacitor,
Hybrid supercapacitor, Electrically conducting polymer
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