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...
Main Authors: | , |
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Format: | Article |
Language: | English |
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Elsevier
2023-09-01
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Series: | Electrochemistry Communications |
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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. |
first_indexed | 2024-03-12T01:43:44Z |
format | Article |
id | doaj.art-beb0ba02346c4461906075e2c9be84c2 |
institution | Directory Open Access Journal |
issn | 1388-2481 |
language | English |
last_indexed | 2024-03-12T01:43:44Z |
publishDate | 2023-09-01 |
publisher | Elsevier |
record_format | Article |
series | Electrochemistry Communications |
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 |