Fractional Behaviours Modelling with Volterra Equations: Application to a Lithium-Ion Cell and Comparison with a Fractional Model - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Fractal and Fractional Année : 2022

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

Résumé

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.
Fichier principal
Vignette du fichier
IMS_fractalfract_Tartaglione_2022.pdf (660.07 Ko) Télécharger le fichier
Origine : Fichiers éditeurs autorisés sur une archive ouverte

Dates et versions

hal-03721452 , version 1 (12-07-2022)

Identifiants

Citer

Vincent Tartaglione, Christophe Farges, Jocelyn Sabatier. Fractional Behaviours Modelling with Volterra Equations: Application to a Lithium-Ion Cell and Comparison with a Fractional Model. Fractal and Fractional, 2022, 6 (3), pp.137. ⟨10.3390/fractalfract6030137⟩. ⟨hal-03721452⟩
19 Consultations
44 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More