Realization of a carbon nanotube based electrochemical fractor

Abstract

A fractor or a fractional order element should show a constant phase (CP), between ±90 0 (except 0 0 ) at any frequency, theoretically. However, all the practical realization of single component fractor have limitation in their CP zone. Not many single-component-fractors have been reported having CP zone more than a decade. In this work, new electrochemical type fractors have been developed, by coating a polymer-carbon nanotube (CNT) composite over Cu clad epoxy block and putting the block in polarizing solution. By varying the percentage of CNT in polymer-CNT composite and the nature of polarizing solution, two different types of fractor have been realized. One is a wide -band fractor having CP zone of five decades (20 Hz to 2 MHz) with a ripple of ±2 0 only. The other one shows two distinct CP zones at two different phase angles. Each zone is about two decade long. These fractors will help to realize fractional order circuits which need to be operated in wide frequency band.

Fractional-Order Phase Shifters with Constant Magnitude Frequency Responses

“…The fractional-order elements (FOEs) can be obtained in various forms (liquid chemicals [8], polymers [9], ferroelectric materials [10], carbon [11], composites of various materials and resistive-capacitive elements with distributed parameters [12], etc.). However, the easiest and cheapest form of FOE can be obtained by serial-parallel ladder structures of precise resistors and capacitors.…”

Optimisation of effective parameters of multiwalled carbon nanotube‐based solid‐state fractional capacitor for evaluation of fractional exponent

“…In the literature, implementation of few single component fractional capacitors can be found [13][14][15][16][17][18][19][20][21][22]. Among these, solidstate fractional capacitor using reduced graphene oxide, ferroelectric material and multiwalled carbon nanotube (MWCNT) [17,21,22] have been reported by the research group of King Abdullah University of Science and Technology (KAUST).…”

Design of Fractional-Order Integrator Controlled by Single Voltage Gain

“…Many aspects of combination or interconnection of fractional-order elements (two-terminals) has been studied recently [10]- [11]. These works deal with ideal or approximated representation of behavior of fractional-order passive element or the observations are based on real fabricated fractional-order devices constructed in several ways (chemicals/liquids [12], polymer composites [13], ferroelectric materials [11], carbon materials [14], deposited layers of different materials) [15], etc.). These devices are also known as so-called constant phase elements (CPEs) [16], [17].…”