Fractional order battery modelling methodologies for electric vehicle applications: Recent advances and perspectives

JP Tian, R Xiong, WX Shen, FC Sun - Science China Technological …, 2020 - Springer
Accurate modelling of lithium ion batteries is crucial for battery management in electric
vehicles. Recent studies have revealed the fractional order nature of lithium ion batteries …

Characterization and identification towards dynamic-based electrical modeling of lithium-ion batteries

C Fan, K Liu, Y Ren, Q Peng - Journal of Energy Chemistry, 2024 - Elsevier
Lithium-ion batteries are widely recognized as a crucial enabling technology for the
advancement of electric vehicles and energy storage systems in the grid. The design of …

Response functions in linear viscoelastic constitutive equations and related fractional operators

J Hristov - Mathematical modelling of natural phenomena, 2019 - mmnp-journal.org
This study addresses the stress–strain relaxation functions of solid polymers in the
framework of the linear viscoelasticity with aim to establish the adequate fractional operators …

Numerical solutions of fractional-order electrical rlc circuit equations via three numerical techniques

U Arshad, M Sultana, AH Ali, O Bazighifan… - Mathematics, 2022 - mdpi.com
In this article, three different techniques, the Fractional Perturbation Iteration Method (FPIA),
Fractional Successive Differentiation Method (FSDM), and Fractional Novel Analytical …

[HTML][HTML] Fundamental calculus of the fractional derivative defined with Rabotnov exponential kernel and application to nonlinear dispersive wave model

M Yavuz, N Sene - Journal of Ocean Engineering and Science, 2021 - Elsevier
Before going further with fractional derivative which is constructed by Rabotnov exponential
kernel, there exist many questions that are not addressed. In this paper, we try to …

Experimental study of fractional-order RC circuit model using the Caputo and Caputo-Fabrizio derivatives

D Lin, X Liao, L Dong, R Yang… - … on Circuits and …, 2021 - ieeexplore.ieee.org
This study employs the Caputo-Fabrizio fractional derivative to determine the model of
fractional-order RC circuits with arbitrary voltage input which can be widely used in a variety …

Robust observer design for mitigating the impact of unknown disturbances on state of charge estimation of lithium iron phosphate batteries using fractional calculus

KD Rao, AH Chander, S Ghosh - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
In recent times, lithium iron phosphate (LFP) batteries have found wide usage in electric
vehicles (EVs). Efficient utilization of the storage capacity of any battery used in EVs is …

[HTML][HTML] Controllability and observability behaviors of a non-homogeneous conformable fractional dynamical system compatible with some electrical applications

Z Al-Zhour - Alexandria Engineering Journal, 2022 - Elsevier
In this work, we discuss the controllability and observability behaviors of a non-
homogeneous conformable fractional dynamical system (C-FDS) based on the conformable …

Linear viscoelastic responses and constitutive equations in terms of fractional operators with non-singular kernels-pragmatic approach, memory kernel …

J Hristov - The European Physical Journal Plus, 2019 - epjplus.epj.org
The article investigates implementation of fractional operators with non-singular memories
(Caputo-Fabrizio) and Atangana-Baleanu (ABC) derivatives in response to functions and …

The effect of the parameters of the generalized fractional derivatives on the behavior of linear electrical circuits

A Gabr, AH Abdel Kader, MS Abdel Latif - International Journal of Applied …, 2021 - Springer
This paper presents the analytical solutions of two fractional linear electrical systems
modeled with generalized fractional derivatives and integrals. The fractional differential …