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MODELING OF ELECTROCHEMICAL DOUBLE LAYER CAPACITORS BY MEANS OF FRACTIONAL IMPEDANCE

机译:用分数阶阻抗模型模拟电化学双层电容器

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摘要

The application of the fractional calculus for modeling electrochemical double layer capacitors is a novel way to get simpler and precise models. By means of the method of impedance spectroscopy, experimental results for different values of these have been obtained. In this paper several classical mathematical models are studied and a different method is introduced in order to get a model from electrochemical double layer capacitors. This method is based on distinct models with fractional elements and the fitted of experimental data is realized with few parameters and minimal error. Finally, is proposed a model based in Havriliak-Negami function which achieves an excellent fitted on the over-all frequencies analyzed.
机译:分数演算在电化学双层电容器建模中的应用是一种获得更简单,更精确模型的新颖方法。通过阻抗谱法,获得了不同值的实验结果。本文研究了几种经典的数学模型,并介绍了一种不同的方法,以便从电化学双层电容器获得模型。该方法基于具有分数元素的不同模型,并且以很少的参数和最小的误差实现了实验数据的拟合。最后,提出了一种基于Havriliak-Negami函数的模型,该模型可以很好地拟合所分析的全部频率。

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