Linear transformations of the Butler–Volmer equation

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...

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Main Authors: Zoltán Lukács, Tamás Kristóf
Format: Article
Language:English
Published: Elsevier 2023-09-01
Series:Electrochemistry Communications
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1388248123001303
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author Zoltán Lukács
Tamás Kristóf
author_facet Zoltán Lukács
Tamás Kristóf
author_sort Zoltán Lukács
collection DOAJ
description 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.
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spelling doaj.art-beb0ba02346c4461906075e2c9be84c22023-09-10T04:23:51ZengElsevierElectrochemistry Communications1388-24812023-09-01154107556Linear transformations of the Butler–Volmer equationZoltán Lukács0Tamás Kristóf1Corresponding author.; Corrosion Research Group, Center for Natural Sciences, University of Pannonia, POB 1158, Veszprém H-8210, HungaryCorrosion Research Group, Center for Natural Sciences, University of Pannonia, POB 1158, Veszprém H-8210, HungaryThe 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.http://www.sciencedirect.com/science/article/pii/S1388248123001303Corrosion modellingElectrode kineticsTheory and modellingButler–Volmer equation
spellingShingle Zoltán Lukács
Tamás Kristóf
Linear transformations of the Butler–Volmer equation
Electrochemistry Communications
Corrosion modelling
Electrode kinetics
Theory and modelling
Butler–Volmer equation
title Linear transformations of the Butler–Volmer equation
title_full Linear transformations of the Butler–Volmer equation
title_fullStr Linear transformations of the Butler–Volmer equation
title_full_unstemmed Linear transformations of the Butler–Volmer equation
title_short Linear transformations of the Butler–Volmer equation
title_sort linear transformations of the butler volmer equation
topic Corrosion modelling
Electrode kinetics
Theory and modelling
Butler–Volmer equation
url http://www.sciencedirect.com/science/article/pii/S1388248123001303
work_keys_str_mv AT zoltanlukacs lineartransformationsofthebutlervolmerequation
AT tamaskristof lineartransformationsofthebutlervolmerequation