Linear transformations of the Butler–Volmer equation

•Linear transformations of the Butler–Volmer equation.•Second-order differential equation form of the Butler–Volmer equation.•Multilinear fitting of current–potential relationship.•Use of derivative and integral functions for parameter fitting. The conventional ways of determining the kinetic parame...

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Bibliographic Details
Published inElectrochemistry communications Vol. 154; p. 107556
Main Authors Lukács, Zoltán, Kristóf, Tamás
Format Journal Article
LanguageEnglish
Published Elsevier B.V 01.09.2023
Elsevier
Subjects
Butler–Volmer equation
Corrosion modelling
Electrode kinetics
Theory and modelling
Electrode kinetics
Corrosion modelling
Theory and modelling
Butler–Volmer equation
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Summary:•Linear transformations of the Butler–Volmer equation.•Second-order differential equation form of the Butler–Volmer equation.•Multilinear fitting of current–potential relationship.•Use of derivative and integral functions for parameter fitting. The conventional ways of determining the kinetic parameters (exchange or corrosion current and Tafel slopes) of the Butler–Volmer (BV) equation have serious drawbacks. In this paper linear transformations of the BV equation are proposed, based on the observation that the BV equation is a solution of a second-order, linear, homogeneous differential equation. The proposed method offers a very simple multilinear calculation method which can be applied in narrower or wider polarization ranges around the equilibrium or corrosion potential. The performance of a linearized form was tested on simulated and measured data series.
ISSN:1388-2481
1873-1902
DOI:10.1016/j.elecom.2023.107556