TARTAGLIONE, Vincent; FARGES, Christophe; SABATIER, Jocelyn

doi:10.3390/fractalfract6030137

Laboratoire de l'intégration, du matériau au système [IMS]

FARGES, Christophe

Laboratoire de l'intégration, du matériau au système [IMS]

SABATIER, Jocelyn

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Article de revue

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Fractal and Fractional. 2022-03, vol. 6, n° 3, p. 137

Resumen en inglés

This paper proposes to model fractional behaviors using Volterra equations. As fractional differentiation-based models that are commonly used to model such behaviors exhibit several drawbacks and are particular cases of Volterra equations (in the kernel definition), it appears legitimate in a modeling approach to work directly with Volterra equations. In this paper, a numerical method is thus developed to identify the kernel associated to a Volterra equation that describes the input–output behavior of a system. This method is used to model a lithium-ion cell using real data. The resulting model is compared to a fractional differentiation-based model with the same number of tunable parameters.< Leer menos

Palabras clave en inglés

fractional behaviours

fractional models

Volterra equations

lithium-ion cell

URI

https://oskar-bordeaux.fr/handle/20.500.12278/140450

DOI

http://dx.doi.org/10.3390/fractalfract6030137

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IMS : Laboratoire de l'Intégration du Matériau au Système - UMR 5218

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Fractional Behaviours Modelling with Volterra Equations: Application to a Lithium-Ion Cell and Comparison with a Fractional Model

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Resumen en inglés

Palabras clave en inglés

URI

DOI

Centros de investigación