Analytical solutions of electrical circuits described by fractional conformable derivatives in Liouville-Caputo sense

VF Morales-Delgado, JF Gómez-Aguilar… - … -International Journal of …, 2018 - Elsevier
In this paper, new analytical solutions for the RL, LC and RLC electric circuits considering
conformable and β-derivatives of type Liouville-Caputo were analyzed. These solutions …

Power law filters: A new class of fractional-order filters without a fractional-order Laplacian operator

S Kapoulea, C Psychalinos, AS Elwakil - AEU-International Journal of …, 2021 - Elsevier
A new category of fractional-order filters, realized without employing a fractional-order
Laplacian operator is introduced in this work. This can be achieved through the utilization of …

Model reduction of fractional impedance spectra for time–frequency analysis of batteries, fuel cells, and supercapacitors

W Li, QA Huang, Y Bai, J Wang, L Wang, Y Liu… - Carbon …, 2024 - Wiley Online Library
Joint time–frequency analysis is an emerging method for interpreting the underlying physics
in fuel cells, batteries, and supercapacitors. To increase the reliability of time–frequency …

[HTML][HTML] A physics-based fractional-order equivalent circuit model for time and frequency-domain applications in lithium-ion batteries

P Rodríguez-Iturriaga, D Anseán… - Journal of Energy …, 2023 - Elsevier
Equivalent circuit models (ECMs) remain the most popular choice for online applications in
lithium-ion batteries because of their simpler parameterization and lower computational …

Design of higher-order fractional filters with fully controllable frequency characteristics

J Nako, C Psychalinos, AS Elwakil, D Jurisic - IEEE access, 2023 - ieeexplore.ieee.org
Higher-order fractional filters with fully controllable frequency characteristics are realized in
this work, after fitting the filter's magnitude response data using a minimum-phase state …

[HTML][HTML] Reconnection–less reconfigurable low–pass filtering topology suitable for higher–order fractional–order design

L Langhammer, J Dvorak, R Sotner, J Jerabek… - Journal of advanced …, 2020 - Elsevier
The paper discusses a new design of a current–mode reconnection–less reconfigurable
fractional–order (FO) low–pass filter of various orders. The filtering structure is based on a …

A novel Dual Fractional-Order Extended Kalman Filter for the improved estimation of battery state of charge

P Rodríguez-Iturriaga, J Alonso-del-Valle… - Journal of Energy …, 2022 - Elsevier
Fractional-order models are gaining increasing relevance in battery modeling in light of the
experimental measurements from Electrochemical Impedance Spectroscopy (EIS) tests …

Non-integer order generalized filters designs

J Nako, C Psychalinos, AS Elwakil, S Minaei - IEEE Access, 2023 - ieeexplore.ieee.org
Non-integer order filters can be derived from a generalized structure presented in this work.
More specifically, fractional-order and power-law filters of single-or double-order are special …

Analog modeling of fractional-order elements: A classical circuit theory approach

N Mijat, D Jurisic, GS Moschytz - IEEE access, 2021 - ieeexplore.ieee.org
In this paper a comprehensive procedure for the analog modeling of Fractional-Order
Elements (FOEs) is presented. Unlike most already proposed techniques, a standard …

[HTML][HTML] Synthesis of elements with fractional-order impedance based on homogenous distributed resistive-capacitive structures and genetic algorithm

PA Ushakov, KO Maksimov, SV Stoychev… - Journal of Advanced …, 2020 - Elsevier
The work proposes a synthesis method of capacitive fractional-order impedance element
which is composed of homogenous distributed resistive-capacitive (RC) structures (lines) …