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Fractional-Order Inductor: Design, Simulation, and Implementation
IEEE Access, 2021 Fractional calculus has tremendous potential in modeling the evolution of complex systems including those with memory. Indeed, fractional-order models are more accurate in approximating non-locally distributed dynamics with short- or long-term memory ...
Li Zhang +4 more
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Fractional-order model of a non-linear inductor [PDF]
Bulletin of the Polish Academy of Sciences: Technical Sciences, 2019 This paper adopts a fractional calculus perspective to describe a non-linear electrical inductor. First, the electrical impedance spectroscopy technique is used for measuring the impedance of the device.
A.M. Lopes, J.A. Tenreiro Machado
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Golden eagle optimized fractional-order PI controller design for a PFC SEPIC converter in EV charging [PDF]
Scientific ReportsThe power factor correction converter is the function of the front-end converter, followed by the DC–DC converter of the electric vehicle charger. It improves the power factor and regulates the output voltage and current.
S. Vijayakumar, N. Sudhakar
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A variable fractional‐order inductor design [PDF]
International Journal of Circuit Theory and Applications, 2022 AbstractRecently, interest in fractional‐order inductors (FOIs) has increased since they allow for accurate and robust models of dynamical systems to be designed. However, practical implementation of these models has not been possible due to the lack of single FOI realizations.
Li Zhang +3 more
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Passivity Criterions of Networks With General Fractional Order Coupled Inductors [PDF]
IEEE Access, 2019 Fractional order coupled inductor (FCI) was proposed recently which can enrich existing circuit element system. In this paper, the passivity conditions of FCI are discussed.
Guishu Liang +3 more
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Analog Realization of Fractional-Order Capacitor and Inductor via the Caputo–Fabrizio Derivative
Journal of Advanced Computational Intelligence and Intelligent Informatics, 2021 Capacitors and inductors have been proven to exhibit fractional-order characteristics. Therefore, the establishment of fractional-order models for circuits containing such components is of great significance in practical circuit analysis. This study establishes the impedance models of fractional-order capacitors and inductors based on the Caputo ...
Manjie Ran +3 more
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Analysis of RL electric circuits modeled by fractional Riccati IVP via Jacobi-Broyden Newton algorithm. [PDF]
PLoS ONEThis paper focuses on modeling Resistor-Inductor (RL) electric circuits using a fractional Riccati initial value problem (IVP) framework. Conventional models frequently neglect the complex dynamics and memory effects intrinsic to actual RL circuits. This
Mahmoud Abd El-Hady +3 more
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Comparative Study of Discrete Component Realizations of Fractional-Order Capacitor and Inductor Active Emulators [PDF]
Journal of Circuits, Systems and Computers, 2018 Due to the absence of commercially available fractional-order capacitors and inductors, their implementation can be performed using fractional-order differentiators and integrators, respectively, combined with a voltage-to-current conversion stage. The transfer function of fractional-order differentiators and integrators can be approximated through the
Georgia Tsirimokou +4 more
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Fractal and FractionalThis paper proposes a modeling and analysis method for a Caputo–Fabrizio (C-F) definition-based fractional-order Boost converter with fractional-order inductive loads.
Donghui Yu, Xiaozhong Liao, Yong Wang
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MachinesA large number of practical systems show pronounced fractional-order features. In comparison with integer-order calculus, fractional-order calculus has been demonstrated to possess enhanced precision in the description of the dynamic behavior of complex ...
Junhua Xu +5 more
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