Comparative Study of Discrete Component Realizations of Fractional-Order Capacitor and Inductor Active Emulators

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F18%3APU127482" target="_blank" >RIV/00216305:26220/18:PU127482 - isvavai.cz</a>

Result on the web

<a href="https://www.worldscientific.com/doi/abs/10.1142/S0218126618501700" target="_blank" >https://www.worldscientific.com/doi/abs/10.1142/S0218126618501700</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1142/S0218126618501700" target="_blank" >10.1142/S0218126618501700</a>

Result language

angličtina

Original language name

Comparative Study of Discrete Component Realizations of Fractional-Order Capacitor and Inductor Active Emulators

Original language description

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 utilization of appropriate integer-order transfer functions. In order to achieve that, the Continued Fraction Expansion as well as the Oustaloup’s approximations can be utilized. The accuracy, in terms of magnitude and phase response, of transfer functions of differentiators/integrators derived through the employment of the aforementioned approximations, is very important factor for achieving high performance approximation of the fractional-order elements. A comparative study of the accuracy offered by the Continued Fraction Expansion and the Oustaloup’s approximation is performed in this paper. As a next step, the corresponding implementations of the emulators of the fractional-order elements, derived using fundamental active cells such as operational amplifiers, operational transconductance amplifiers, current conveyors, and current feedback operational amplifiers realized in commercially available discrete-component IC form, are compared in terms of the most important performance characteristics. The most suitable of them are further compared using the OrCAD PSpice software.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

20201 - Electrical and electronic engineering

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2018

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

JOURNAL OF CIRCUITS SYSTEMS AND COMPUTERS

ISSN

0218-1266

e-ISSN

1793-6454

Volume of the periodical

27

Issue of the periodical within the volume

11

Country of publishing house

SG - SINGAPORE

Number of pages

26

Pages from-to

„1850170-1“-„1850170-26“

UT code for WoS article

000434472900006

EID of the result in the Scopus database

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