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Why supercapacitor follows complex time-dependent power law (t∝) and does not obey normal exponential (e−t(RC)) rule?
Journal of Energy Storage ( IF 9.4 ) Pub Date : 2020-06-30 , DOI: 10.1016/j.est.2020.101606
Sambit Satpathy , Mili Dhar , Bidyut Kumar Bhattacharyya

It is shown that the self-discharge characteristics of the supercapacitor cannot be explained using the existing fractional-order model since there is no self-leakage path of the said model. The basis of this fractional-order model was to explain empirically why the supercapacitor discharges using a complex time-dependent power law (tα) and does not obey the usual discharge method, like et/(RC). The conventional capacitor models have a series resistance and a leakage-parallel resistance. The fractional-order models have very little physical reasoning behind it. In this paper, we have calculated an expression using a free-electron “Drude Model” and showed that parallel leakage resistance of the supercapacitor depends on the value of the current going through it. This concept causes complex time-dependent power-law behavior. We have taken the data from the literature, where researchers came across the idea of fractional-order model and applied our new concept of the “Drude Model” on those data from literature and found that the dependence of leakage resistance of the supercapacitor on the current passing through that leakage-parallel resistor. We have also done measurements in our laboratory at the centre of Innovation, using NIPPON supercapacitors and found the leakage parallel resistance is also current dependent, which leads to this interesting complex time-dependent power law.



中文翻译:

为什么超级电容器遵循复杂的时间相关的幂定律(t )并且不服从正态指数Ë-Ť[RC 规则?

结果表明,由于现有模型不存在自泄漏路径,因此无法使用现有的分数阶模型来解释超级电容器的自放电特性。这个分数阶模型的基础是解释 凭经验 为什么使用复杂的依赖于时间的幂律超级电容器放电(α)和不服从通常的排放方法,比如Ë-Ť/[RC。传统的电容器模型具有串联电阻和泄漏并联电阻。分数阶模型背后几乎没有物理推理。在本文中,我们使用自由电子“ Drude模型”计算了一个表达式,并表明超级电容器的并联泄漏电阻取决于流过它的电流值。这个概念导致了复杂的时间相关的幂律行为。我们从文献中获取了数据,研究人员发现了分数阶模型的概念,并将我们的“德鲁伊模型”的新概念应用于文献中的那些数据,发现超级电容器的抗泄漏性与电流有关。穿过那个并联泄漏电阻。我们还在创新中心的实验室中进行了测量,

更新日期:2020-06-30
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