Modeling and analysis method of fractional‐order buck–boost converter

S Fang, X Wang - International Journal of Circuit Theory and …, 2020 - Wiley Online Library
In this paper, the equivalent small parameter method (ESPM) is used to establish the
nonlinear mathematical model of the fractional‐order buck–boost converter in continuous …

[HTML][HTML] Modeling and analysis of the fractional-order flyback converter in continuous conduction mode by caputo fractional calculus

C Yang, F Xie, Y Chen, W Xiao, B Zhang - Electronics, 2020 - mdpi.com
In order to obtain more realistic characteristics of the converter, a fractional-order inductor
and capacitor are used in the modeling of power electronic converters. However, few …

[HTML][HTML] Modeling and analysis of Caputo–Fabrizio definition-based fractional-order boost converter with inductive loads

D Yu, X Liao, Y Wang - Fractal and Fractional, 2024 - mdpi.com
This paper proposes a modeling and analysis method for a Caputo–Fabrizio (CF) definition-
based fractional-order Boost converter with fractional-order inductive loads. The proposed …

Fractional‐order controllers for switching DC/DC converters using the K‐factor method: Analysis and circuit realization

E Cengelci, M Garip, AS Elwakil - International Journal of …, 2022 - Wiley Online Library
Switching DC/DC converters are closed loop systems requiring controllers to stabilize and
optimize their performance. A practical method for designing these controllers through …

[HTML][HTML] Modeling and Harmonic Analysis of a Fractional-Order Zeta Converter

L Xie, D Wan - Energies, 2023 - mdpi.com
The Zeta converter is an essential and widely used high-order converter. The current
modeling studies on Zeta converters are based on the model that devices, such as …

Fractional-Order Modeling and Nonlinear Dynamic Analysis of Forward Converter

X Wang, Z Zhang - Fractal and Fractional, 2024 - mdpi.com
To accurately investigate the nonlinear dynamic characteristics of a forward converter, a
fractional-order state-space averaged model of a forward converter in continuous …

Fractional order modelling and optimal control of dual active bridge converters

Z Dong, P Yang, Q Li, M Zhang, Y Chang… - Systems Science & …, 2024 - Taylor & Francis
As the construction of new power systems centred around renewable energy gains traction,
the installed capacity of new energy sources has experienced explosive growth. Research …

Differences between Riemann–Liouville and Caputo calculus definitions in analyzing fractional boost converter with discontinuous‐conduction‐mode operation

Y Chen, X Wang, B Zhang, F Xie… - International Journal of …, 2024 - Wiley Online Library
Fractional‐order calculus is an extension of the integer‐order calculus in that its order is not
limited to integers but can be noninteger as well, thus making the application of fractional …

Analysis Of Fractional Derivatives And Integrals Application with Caputo-Fabrizio Operator In Electromechanical Systems

A Lozynskyy, O Lozynskyy, L Kasha… - 2020 IEEE 21st …, 2020 - ieeexplore.ieee.org
Using the Caputo-Fabrizio operator, the influence of substitution in the two-mass system
linear model an integer derivatives on fractional derivatives is shown. Parameters changing …

Modeling and Analysis of Fractional-order Boost Converter with a Constant Power Load

D Yu, X Liao, Y Wang, M Ran… - IECON 2023-49th Annual …, 2023 - ieeexplore.ieee.org
This paper models and analyzes a fractional-order Boost converter with a constant power
load (CPL). The transfer function and state equation of the circuit are derived through the …