Characteristic analysis of fractional-order super-capacitors and batteries

Modeling and analyzing electrical energy storage devices appears crucial for recently research in engineering study. This paper researches the power and impedance of fractional-order electric circuit models: super-capacitors and batteries. For super-capacitors and batteries models, the fractional order α plays an essential role in the power and energy obtained. An interesting phenomena found out is that the fractional-order super-capacitor (0 < α < 1) can gain more energy than the normal one (α = 1). The reactive power of the battery model is analyzed versus different order α, which decreasing with α when 0 < α < 0.29 and increasing with α when 0.29 < α < 1. Apart from it, the impedance Z(jω, α) of the two models are given in the paper.