Fractional-Order Inductor: Design, Simulation, and Implementation

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 effects. However, the realization of fractional s...

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Veröffentlicht in:IEEE access 2021, Vol.9, p.73695-73702
Hauptverfasser: Zhang, Li, Kartci, Aslihan, Elwakil, Ahmed, Bagci, Hakan, Salama, Khaled N.
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Sprache:eng
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Zusammenfassung: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 effects. However, the realization of fractional systems is often hindered by the lack of robust fractional-order energy storage devices, particularly fractional-order inductors (FOIs). Inherent eddy currents, hysteresis losses, the lack of suitable materials, and a systematic design procedure are among the challenges of FOI synthesis. In this work, a straightforward and robust approach realizing FOIs with a coaxial structure is proposed. This approach relies on the fact that the wave impedance of the transverse electromagnetic (TEM) mode on the coaxial structure scales with (\mathit {j}\omega)^{0.5} , where \mathit {j}=\sqrt {(-1)} and \omega is the angular frequency when the filling material is highly conductive. Indeed, experimental characterization of the realized device shows that it has a half-order inductive response (corresponding to 45° phase angle) that is stable in the frequency range 18 MHz - 1 GHz with a phase angle deviation not exceeding 5°. Furthermore, the effects of the device geometry and the permeability, the permittivity, the conductivity of the filling material on device response are investigated.
ISSN:2169-3536
2169-3536
DOI:10.1109/ACCESS.2021.3077561