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Realization of Fractance Device using Fifth Order Approximation

B.T. Krishna. Published in Applied Mathematics.

Communications on Applied Electronics
Year of Publication: 2020
Publisher: Foundation of Computer Science (FCS), NY, USA
Authors: B.T. Krishna
10.5120/cae2020652869

B T Krishna. Realization of Fractance Device using Fifth Order Approximation. Communications on Applied Electronics 7(34):1-5, September 2020. BibTeX

@article{10.5120/cae2020652869,
	author = {B.T. Krishna},
	title = {Realization of Fractance Device using Fifth Order Approximation},
	journal = {Communications on Applied Electronics},
	issue_date = {September 2020},
	volume = {7},
	number = {34},
	month = {Sep},
	year = {2020},
	issn = {2394-4714},
	pages = {1-5},
	numpages = {5},
	url = {http://www.caeaccess.org/archives/volume7/number34/871-2020652869},
	doi = {10.5120/cae2020652869},
	publisher = {Foundation of Computer Science (FCS), NY, USA},
	address = {New York, USA}
}

Abstract

The realization of Fractance device is an important topic of research for the people working in Fractional Calculus, control systems, signal processing, and other allied fields. Having multifaceted applications, the realization of the device has gained importance from the past few years. The important step in the realization of Fractance device is finding the rational approximation that best fits its behavior. In this paper, the rational approximation is calculated using the continued fraction expansion formula. The rational approximation thus obtained is synthesized as a passive circuit using MATLAB. The active circuit is obtained by making use of the Operational Amplifier. The passive active circuits are simulated using TINA-TI software. The working of the proposed circuits is studied. It has been observed that both theoretical and simulated results match each other.

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Keywords

Fractional order, Resistance, Capacitance, Active circuit, Passive Circuit, Realization, Phase response