Fractional-Order Inductor: Design, Simulation, and Implementation

Li Zhang, Aslihan Kartci, Ahmed Elwakil, Hakan Bagci, Khaled N. Salama

Research output: Contribution to journalArticlepeer-review

26 Scopus citations


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 (jω)0.5, where j = √(-1) and ω 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.
Original languageEnglish (US)
JournalIEEE Access
StatePublished - 2021

Bibliographical note

KAUST Repository Item: Exported on 2021-05-07

ASJC Scopus subject areas

  • General Engineering
  • General Computer Science
  • General Materials Science


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