Linear transformations of the Butler–Volmer equation
Zoltán Lukács, Tamás Kristóf
Abstract
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.
Topics & Concepts
Tafel equationMultilinear mapHomogeneousHomogeneous differential equationPolarization (electrochemistry)Differential equationCorrosionPartial differential equationChemistryApplied mathematicsThermodynamicsMathematical analysisMathematicsPhysicsElectrodeOrdinary differential equationPhysical chemistryElectrochemistryOrganic chemistryPure mathematicsDifferential algebraic equationCorrosion Behavior and InhibitionFuel Cells and Related MaterialsConcrete Corrosion and Durability