RC models of a constant phase element. (12th October 2011)

• Record Type: Journal Article
• Authors: Valsa, Juraj; Vlach, Jiri
• Is Part Of: International journal of circuit theory and applications. Volume 41:Number 1(2013:Jan.)
• Page Start: 59
• Page End: 67
• Publication Date: 2011-10-12
• Subjects: Electric circuit analysis -- Periodicals; 621.319205
• DOI: 10.1002/cta.785
• Languages: English
• ISSNs: 0098-9886

Abstract

<abstract abstract-type="main"> <title>SUMMARY</title> <p>The paper describes models of a constant‐phase element consisting of passive R and C components. The models offer any input impedance argument (phase) between −90<italic>°</italic> and 0° over a selectable frequency band covering several decades. The design procedure makes it possible to choose values of average phase, phase ripple, frequency bandwidth, and total number of R and C elements. The model can cover three frequency decades with as few as five resistors and five capacitors. The models can be used for practical realization of fractional analog differentiators and integrators, fractional oscillators, chaotic networks or for analog simulation of fractional control systems. Copyright © 2011 John Wiley &amp; Sons, Ltd.</p> </abstract>