Structural identifiability of impedance spectroscopy fractional-order equivalent circuit models with two constant phase elements

被引：3

作者：

Aghdam, Tohid Soleymani ^{[1
]}

Alavi, Seyed Mohammad Mahdi ^{[2
]}

Saif, Mehrdad ^{[3
]}

机构：

[1] Shahid Beheshti Univ, Fac Elect Engn, Daneshjou Blvd, Tehran 1983969411, Iran

[2] Cardiff Metropolitan Univ, Sch Technol, Llandaff Campus,Western Ave, Cardiff CF5 2YB, Wales

[3] Univ Windsor, Dept Elect & Comp Engn, Sunset Ave, Windsor, ON N9B 3P4, Canada

来源：

AUTOMATICA | 2022年 / 144卷

基金：

美国国家航空航天局;

关键词：

Structural identifiability; Fractional order models; Electrochemical impedance spectroscopy; Energy storage systems; Biomedical systems; GLOBAL IDENTIFIABILITY; ION BATTERIES;

D O I：

10.1016/j.automatica.2022.110463

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Structural identifiability analysis of fractional-order equivalent circuit models (FO-ECMs) obtained through electrochemical impedance spectroscopy (EIS) remains as a challenging problem. Aside from practical challenges such as measurement noise and the selection of excitation signals, no widely accepted analytical or numerical proof addressing the structural identifiability of impedance spectroscopy FO-ECMs exists. Through the use of coefficient mapping technique, this paper proposes novel computationally-efficient algebraic equations for numerical structural identifiability analysis of a widely used FO-ECM with Grunwald-Letnikov fractional derivative approximation and two constant phase elements (CPEs) including the Warburg term. The effects of the length of the data and sampling time on the proposed method for the structural identifiability analysis of the two-CPE FO-ECMs are discussed along with two examples and a discussion of the results. (C) 2022 Elsevier Ltd. All rights reserved.

引用

页数：6

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