Generalization of transmission line models for deriving the impedance of diffusion and porous media
Generalization of transmission line models for deriving the impedance of diffusion and porous media
复制标题
用于推导扩散和多孔介质阻抗的传输线模型的推广
DOI：
10.1016/j.electacta.2012.05.014
复制
发表时间：
2012
影响因子：
6.6
通讯作者：
O. Kanoun
中科院分区：
文献类型：
--
作者：
U. Troeltzsch;O. Kanoun
系统仿真和系统辨识是科学技术中的常见问题。在电化学领域中，这对于诸如多孔电极的系统和诸如扩散的机制是感兴趣的。这些与技术应用相关，例如能量存储和腐蚀保护。描述这种系统的电行为的模型不仅基于原理图、物理和化学方法，而且基于等效电路。有时，对传导路径和参数的空间分布进行简化。由于有许多不同的型号，为特定应用选择合适的型号非常困难。因此，识别模型相似性允许更好地理解每个机制，减少数学计算的数量，简化模型评估，从而降低复杂性。在本文中，一个更一般的观点阻抗的广义传输线模型。讨论了传输线模型的微分方程及其通解。此外，不同的边界条件被施加到不同的电化学系统，以获得解决方案。详细讨论了扩散电极和多孔电极的结果，将微分方程的解与所建立的模型进行了比较，并分析了阻抗行为。因此，已经做出努力来分析和消除阻抗模型方程的模糊性。消除模糊性简化了影响阻抗行为的模型参数的分析，并且另外提高了非线性参数优化技术的鲁棒性。
System simulation and system identification are common problems in science and technology. In the field of electrochemistry this is of interest for systems, such as porous electrodes and mechanisms, such as diffusion. These are relevant for technical applications, such as energy storage and corrosion protection. Models describing the electrical behavior of such systems are based not only on schematics, physical and chemical approaches but also on equivalent circuits. Sometimes simplifications are applied to the conduction path and the spatial distribution of parameters. Due to the availability of many different models, the selection of a suitable model for a specific application is very difficult. Hence, identifying model similarities allows for a better understanding of each mechanism, reducing the number of mathematical calculations, simplifying model evaluation and thereby reducing the complexity. In this paper, a more general point of view of impedance in terms of a generalized transmission line model is considered. The differential equation of the transmission line model and its general solution is discussed. Furthermore, different boundary conditions are applied to obtain the solution for different electrochemical systems. The results for diffusion and porous electrodes are discussed in more detail, the solution of the differential equations are compared with the established models and the impedance behavior is analyzed. An effort has thus been made to analyze and remove ambiguity from impedance model equations. Removing ambiguity simplifies the analysis of model parameters influencing impedance behavior and additionally improves the robustness of nonlinear parameter optimization techniques.