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Structural identifiability analysis of fractional-order equivalent circuitmodels (FO-ECMs), obtained through electrochemical impedance spectroscopy (EIS)is still a challenging problem. No peer-reviewed analytical or numerical proofdoes exist showing that whether impedance spectroscopy FO-ECMs are structurallyidentifiable or not, regardless of practical issues such as measurement noisesand the selection of excitation signals. By using the coefficient mappingtechnique, this paper proposes novel computationally-efficient algebraicequations for the numerical structural identifiability analysis of a widelyused FO-ECM with Gr\"{u}nwald-Letnikov fractional derivative approximation andtwo constant phase elements (CPEs) including the Warburg term. The proposednumerical structural identifiability analysis method is applied to an examplefrom batteries, and the results are discussed. Matlab codes are available ongithub.

Structural Identifiability of Impedance Spectroscopy Fractional-Order Equivalent Circuit Models With Two Constant Phase Elements