Packaging of Single-Component Fractional Order Element

Mondal, Debasmita; Biswas, Karabi

doi:10.1109/tdmr.2012.2212020

Cited by 72 publications

(24 citation statements)

References 30 publications

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“…''Realization of FOE''). So researchers now adopt more generalized terms like FOE or fractance device and presents Z F as Q=s a , where, Q is named as characteristic constant (Mondal and Biswas 2013) and its unit is X=s a .…”

Section: Fractional Order Elementmentioning

confidence: 99%

“…It is made of porous PMMA coated Cu or Pt electrodes, dipped in an ionic solution. Later, such fractors are packaged by replacing the ionic solution by ionic gel (made by agar-agar powder) (Mondal and Biswas 2013). This FOE is studied for different system parameters, i.e., dipping length, coating thickness, the solution pH and conductivity.…”

Section: Realization Of Single Component Foementioning

confidence: 99%

“…The packaged fractor is smaller than the fractal FOE, cheaper and simpler to fabricate. It is successfully used in developing many FO systems (Biswas et al 2006;Mondal and Biswas 2013;Tripathy et al 2013Tripathy et al , 2015. This FOE shows CPZ in between 100 Hz to 1 MHz and CPZ is maximum 2 decades long (Mondal 2012).…”

Section: Realization Of Single Component Foementioning

confidence: 99%

“…Although both types are now being used to develop many successful FO applications. In Tripathy et al (2015) a single component packaged fractor, reported in Mondal and Biswas (2013), has been used to make a FO PLL. It is found that developed FO PLL provides faster response and lower phase error at the time of switching compared to its integer-order counterpart.…”

Section: Realization Of Single Component Foementioning

confidence: 99%

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Realization of Fractional Order Elements

et al. 2017

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Fractional order (FO) element (FOE) is the building block for realization of FO systems, an important research domain. However, the realization of FO system is still a challenge. Till date, no FOE or fractor is available in the market. However, many researchers have developed various types of FOE, multi-component and single component, over past 50 years or more. This paper reviews some significant research work, along with their success and limitations, in the field of FOE realization. Also, it discusses the chronological development and a brief comparative study to present an overall idea on current stage of FOE research to the readers.

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Section: Fractional Order Elementmentioning

confidence: 99%

Section: Realization Of Single Component Foementioning

confidence: 99%

Section: Realization Of Single Component Foementioning

confidence: 99%

Section: Realization Of Single Component Foementioning

confidence: 99%

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Realization of Fractional Order Elements

et al. 2017

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“…In general, the value of the capacitance in a FC can only be found at a fixed frequency in the form C = Ĉ/ω (1 À a) . Several recent publications have proposed promising techniques for the realization of fractional capacitors [4,5] and particularly using nano-materials [6]. Meanwhile, switched-capacitor (SC) circuits are standard blocks important for many applications.…”

Section: Introductionmentioning

confidence: 99%

Analysis and realization of a switched fractional‐order‐capacitor integrator

Psychalinos

Elwakil

Maundy

et al. 2016

Circuit Theory & Apps

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Using fractional calculus, we analyze a classical switched-capacitor integrator when a fractional-order capacitor is employed in the feed-forward path. We show that using of a fractional-order capacitor, significantly large time constants can be realized with capacitances in the feedback path much smaller in value when compared with a conventional switched-capacitor integrator. Simulations and experimental results using a commercial super-capacitor with fractional-order characteristics confirmed via impedance spectroscopy are provided.

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Experimental studies on realization of fractional inductors and fractional‐order bandpass filters

Tripathy

Mondal

Biswas

et al. 2014

Circuit Theory & Apps

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155

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Summary This paper presents the hardware realization and performance study of fractional inductors of order 0 < α < 2. The fractional inductors used in this work have been realized with the help of general impedance converter circuit and fractional capacitors. Impedance characterization of fractional inductors with different exponents has been carried out experimentally. Also a generalized approach to design a fractional‐order bandpass filter is discussed in this work. The fractional‐order bandpass filter consists of a series combination of a resistor, a fractional inductor of order 1 < α < 2, and a fractional capacitor of order 0 < β < 1. The performance of fractional‐order bandpass filters has been studied and compared with corresponding integer‐order filters through both experimentation and simulation. Copyright © 2014 John Wiley & Sons, Ltd.

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Packaging of Single-Component Fractional Order Element

Cited by 72 publications

References 30 publications

Realization of Fractional Order Elements

Realization of Fractional Order Elements

Analysis and realization of a switched fractional‐order‐capacitor integrator

Experimental studies on realization of fractional inductors and fractional‐order bandpass filters

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