Application of the Kramers-Kronig Relations to Multi-Sine Electrochemical Impedance Measurements

Impedance spectra obtained by fast Fourier transformation of the response to a multi-sine potential perturbation are shown to be consistent with the Kramers-Kronig relations, even for systems that are nonlinear and nonstationary. These results, observed for measurements on a Li/SOCl2 battery, were c...

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Bibliographic Details
Published in:Journal of the Electrochemical Society 2020-01, Vol.167 (2), p.20515
Main Authors: You, Chen, Zabara, Mohammed Ahmed, Orazem, Mark E., Ulgut, Burak
Format: Article
Language:English
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Summary:Impedance spectra obtained by fast Fourier transformation of the response to a multi-sine potential perturbation are shown to be consistent with the Kramers-Kronig relations, even for systems that are nonlinear and nonstationary. These results, observed for measurements on a Li/SOCl2 battery, were confirmed by numerical simulations. Consistency with the Kramers-Kronig relations was confirmed by use of the measurement model developed by Agrawal et al. and by a linear measurement model approach developed by Boukamp and implemented by Gamry. The present work demonstrates that application of the Kramers-Kronig relations to the results of multi-sine measurements cannot be used to determine whether the experimental system satisfies the conditions of linearity, causality and stability.
ISSN:0013-4651
1945-7111
DOI:10.1149/1945-7111/ab6824