New approach of electrochemical systems dynamics in the time-domain under small-signal conditions. I. A family of algorithms based on numerical inversion of Laplace transforms

Dynamic modelling of electrochemical systems in the time-domain generally requires the inversion of Laplace transforms. Unfortunately, many practical systems exist for which the inverse transforms cannot be derived analytically. A new approach of the dynamics of electrochemical systems, investigated...

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Bibliographic Details
Published in:Journal of electroanalytical chemistry (Lausanne, Switzerland) Vol. 623; no. 1; pp. 29 - 40
Main Authors: Montella, C., Diard, J.-P.
Format: Journal Article
Language:English
Published: Kidlington Elsevier B.V 01.11.2008
Elsevier
Subjects:
Chemistry
Current pulse
Electrochemistry
Exact sciences and technology
Gaver–Stehfest method
General and physical chemistry
GITT
Modelling
Numerical inversion of Laplace transforms
PITT
Potential step
Study of interfaces
System dynamics
Transport phenomena
Voltammetry
Numerical inversion of Laplace transforms
System dynamics
GITT
Current pulse
Gaver–Stehfest method
Voltammetry
Modelling
Potential step
PITT
Potentiostatic method
Pulsed current
Theoretical study
Galvanostatic method
Inverse transformation
Mass transfer
Transport process
Time domain method
Gaver-Stehfest method
Numerical simulation
Laplace transformation
ISSN:1572-6657, 1873-2569
Online Access:Get full text
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Summary:Dynamic modelling of electrochemical systems in the time-domain generally requires the inversion of Laplace transforms. Unfortunately, many practical systems exist for which the inverse transforms cannot be derived analytically. A new approach of the dynamics of electrochemical systems, investigated under small-signal conditions, is proposed in this work. The method is based on numerical inversion of Laplace transforms and, more especially, on the Gaver–Stehfest (GS) inversion formula. General and explicit formulations of the time-domain responses of stable systems to a small potential step/ramp and to a small current step/pulse are derived in part I of this work from linear combinations of values of the system immittance that is the admittance for potential-controlled techniques and the impedance for current-controlled techniques. The GS approach of system dynamics is illustrated by taking the example of finite-space diffusion of electroactive species. Application to corrosion systems, polymer exchange membrane fuel cells and thin-film ion-insertion electrodes will be presented in the next parts of this work.
ISSN:1572-6657
1873-2569
DOI:10.1016/j.jelechem.2008.06.015