A variable fractional‐order inductor design

Abstract

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. To address this challenge, in this work, we propose a simple‐to‐realize fractional‐order inductor design with variable constant phase angle (CPA). The design relies on characteristics of transverse electromagnetic (TEM) mode propagating on a coaxial structure filled with conductive material, more specifically NaCl‐water solution and flour‐based mixtures. The CPA of the resulting FOI can be tuned by changing the conductivity of the dough mixture. Analysis of the proposed FOI design show that the CPA can vary in a range from 0° to 90°. Two of these CPA values are verified against experiments in the frequency band changing from 1 to 10 MHz.