Figure 1

Nyquist plane representation of open-circuit spectral impedance of a NEC/TOKIN supercapacitor (part #FGR0H105ZF, rated 5.5 V, 1 F). Complex nonlinear least-squares fitting to \(Z(s)=R_s+1/C_{\alpha }s^{\alpha }\) (\(s=\mathrm {j}\omega\)) shows two straight line regions giving the values \((R_s;C_{\alpha };\alpha )=(6.306\;\Omega ;\;0.138\;\text {F\,s}^{\alpha -1};\;0.49)\) from 10 Hz to 20 mHz, and \((16.87\;\Omega ;\;0.524\;\text {F\,s}^{\alpha -1};\;0.88)\) from 20 mHz to 5 mHz. 20 mHz is a critical frequency separating the near-ideal capacitive behavior from the Warburg region.