Passive approximations of double‐exponent fractional‐order impedance functions,International Journal of Circuit Theory and Applications

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Passive approximations of double‐exponent fractional‐order impedance functions
International Journal of Circuit Theory and Applications ( IF 1.8 ) Pub Date : 2021-03-22 , DOI: 10.1002/cta.2946
Stavroula Kapoulea ₁ , Costas Psychalinos ₁ , Ahmed S. Elwakil _{2,

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Affiliation

Double‐exponent fractional‐order impedance functions are important for modeling a wide range of biochemical materials and biological tissues. Through appropriate selection of the two exponents (fractional orders), the well‐known Havriliak–Negami, Cole–Cole, Cole–Davidson, and Debye relaxation models can be obtained as special cases. Here we show that an integer‐order Padé‐based approximation of the Havriliak–Negami function is possible to obtain and can be realized using appropriately configured Cauer/Foster resistor‐capacitor (RC) networks. Two application examples are subsequently examined: the emulation of the capacitive behavior in a polycrystalline solid electrolyte and the emulation of the impedance of four “fractal” vegetable types.

中文翻译：

双指数分数阶阻抗函数的无源近似

双指数分数阶阻抗函数对于建模各种生化材料和生物组织非常重要。通过这两个指数（分数阶）的适当选择，知名Havriliak-根上，科尔 - 科尔，科尔 - 戴维森和德拜松弛模型可以作为特殊情况来获得。在这里，我们表明，可以使用适当配置的Cauer / Foster电阻电容（RC）网络来获得Havriliak–Negami函数的基于整数阶Padé的近似值。随后研究了两个应用示例：多晶固体电解质中电容行为的仿真和四种“分形”蔬菜类型的阻抗的仿真。

更新日期：2021-04-23

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