Characteristic analysis of fractional-order super-capacitors and batteries

Yuhang Lei, Gangquan Si, Lijie Diao, Jianwei Zhu
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Abstract

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.
分数阶超级电容器和电池的特性分析
电能存储装置的建模与分析是当前工程研究的重要内容。本文研究了分数阶电路模型:超级电容器和电池的功率和阻抗。对于超级电容器和电池模型,分数阶α在获得的功率和能量中起着至关重要的作用。结果表明,分数阶超级电容器(0 < α < 1)比普通超级电容器(α = 1)能获得更多的能量。分析了不同阶α对电池模型无功功率的影响,当0 < α < 0.29时无功功率随α减小,当0.29 < α < 1时无功功率随α增大。除此之外,文中还给出了两种模型的阻抗Z(jω, α)。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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