Realization of a Constant Phase Element and Its Performance Study in a Differentiator Circuit

Biswas, Karabi; Sen, Sabyasachi; Dutta, Pranab

doi:10.1109/tcsii.2006.879102

Cited by 237 publications

(96 citation statements)

References 22 publications

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“…Hence, FOE or fractor is often called as constant phase element (CPE) (Biswas et al 2006). Actually, resistor, capacitor, inductor and FOE-all are CPE (as a ¼ 0, FOE becomes resistor, a ¼ 1, FOE becomes capacitor, a ¼ À1, it is inductor), but only fractor can have phase other than 0 or AE90 by varying its a.…”

Section: Foe As Constant Phase Element (Cpe)mentioning

confidence: 99%

“…Porous polymer based electrolytic fractor: This is first reported by Biswas et al in (2006). It is made of porous PMMA coated Cu or Pt electrodes, dipped in an ionic solution.…”

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%

“…It has similar structure like that of Biswas et al (2006), the difference is that the electrodes are now coated with carbon nanotube (CNT)-polymer composite instead of porous PMMA. In PMMA based FOE, the effect of porosity does not become prominent until the coating thickness is too low.…”

Section: Realization Of Single Component Foementioning

confidence: 99%

“…The arbitrariness in the order of FO systems offers additional tuning parameters in the FO controller making it a potential candidate for controlling complex systems like diffusion (Ozdemir and Iskender 2010); pressurized heavy water reactor (Saha et al 2010); wind energy (Melicio et al 2010); twin rotor MIMO system (Mishra and Purwar 2014); mechatronics, biological systems, and many more (Monje et al 2010). Besides, a number of FO electronic systems, like FO oscillators (Radwan et al 2008), FO filters Tripathy et al 2013Tripathy et al , 2015Tseng 2007;Soltan et al 2015;, FO PLL (Tripathy et al 2015), and many others (Biswas et al 2006;Mondal and Biswas 2011; have been developed and have shown promising results.…”

Section: Introductionmentioning

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: Foe As Constant Phase Element (Cpe)mentioning

confidence: 99%

“…Porous polymer based electrolytic fractor: This is first reported by Biswas et al in (2006). It is made of porous PMMA coated Cu or Pt electrodes, dipped in an ionic solution.…”

Section: Realization Of Single Component Foementioning

confidence: 99%

Section: Realization Of Single Component Foementioning

confidence: 99%

Section: Realization Of Single Component Foementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Realization of Fractional Order Elements

et al. 2017

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In Situ Li‐Plating Diagnosis for Fast‐Charging Li‐Ion Batteries Enabled by Relaxation‐Time Detection

Xiao

Yang

et al. 2023

Advanced Materials

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The Li plating behavior of Li‐ion batteries under fast charging conditions is elusive due to a lack of reliable indicators of the Li plating onset. In this work, the relaxation time constant of the charge transfer process (τCT) is proposed to be promising for the determination of Li plating onset. A novel pulse/relaxation test method enables a rapid access to the τCT of the graphite anode during battery operation, applicable to both half and full batteries. The diagnosis of Li plating at varying temperatures and charging rates enriches the cognition of Li plating behaviors. Li plating at low temperatures and high charging rates can be avoided because of the battery voltage limitations. Nevertheless, after the onset, severe Li plating evolves rapidly under harsh charging conditions, while the Li plating process under benign charging conditions is accompanied by a simultaneous Li intercalation process. The quantitative estimates indicate that Li plating at high temperatures/high charging rates leads to more irreversible capacity losses. This facile method with rational scientific principles can provide inspiration for exploring the safe boundaries of Li‐ion batteries.This article is protected by copyright. All rights reserved

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Separators Based on the Dynamic Tip‐Occupying Electrostatic Shield Effect for Dendrite‐Free Lithium‐Metal Batteries

Dong

Wang

Gan

et al. 2021

Advanced Sustainable Systems

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graphite anodes) and the lowest electrochemical potential (-3.04 V versus the standard hydrogen electrode). [5] However, the application of Li-metal anodes in batteries still faces many challenges due to its low coulombic efficiency (CE), rapid capacity decay, poor cycle life, [6] and safety concerns [7] resulting from the uncontrollable growth of dendritic Li during cycling. [8] On the one hand, Li dendrites may pierce the fragile solid electrolyte interface (SEI) and even separators, resulting in internal short circuits, thermal runway, and even the explosion of the battery. [9] On the other hand, Li dendrites can easily fall off from the bulk Li, reducing the utilization of active Li and the CE. [10] Therefore, preventing the formation of Li dendrites is the crucial step to realize the practical application of Li-metal batteries (LMBs) with high energy density. [11] To alleviate the abovementioned problems related to the growth of Li dendrites, enormous efforts have been devoted to finding solutions. These solutions can be roughly divided into five categories: the modification of the SEI layer by the addition of additives, [12] introduction of various ex-situ artificial SEI protective layers, [13] construction of 3D structured Li anodes, [14] utilization of solid-state electrolytes, [15] and design of functional separators. [16] Among these strategies, coatings or interlayers of the separator, such as MOFs, [16a] Al 2 O 3 , [16b] MnCO 3 , [16c] VS 2 flakes, [16d] carbon materials, [2b] and nonporous gel electrolytes, [17] are facile and convenient ways to suppress the growth of Li dendrites. All these works have achieved good results. Herein, we introduced the positively charged layer (PCL) to polypropylene (PP) separator. PCL is composed of polymer sidechains with freely moving multication groups, can regulate the lithium-ion deposition behavior in sub-nano scales.During the deposition process of a commercial PP separator cell, Li ions will deposit to regions with higher current density and then inevitably form protuberant Li metal tips (LMTs) due to the inherent heterogeneity of Li metal. [18] Then, the electric field strength around the formed LMTs will be significantly enhanced based on Gauss's flux theorem. Consequently, more Li ions will preferentially deposit around the LMTs to form Li dendrites. [19] However, unlike the reported strategies in the literature, this study is based on the "dynamic tip-occupying electrostatic shield" (DTOES) effect for achieving uniform Lithium-metal batteries (LMBs) have long been considered the "holy grail" of next-generation energy storage systems due to the unique advantages of Li metal, such as having a high specific capacity and the lowest potential. Unfortunately, the practical application of LMBs is seriously hindered by the uncontrollable growth of dendritic Li. To address this issue, a positively charged layer (PCL) with freely moving multication sidechains is successfully polymerized on a commercial polypropylene (PP) separator. The cationic groups on the ...

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Realization of a Constant Phase Element and Its Performance Study in a Differentiator Circuit

Cited by 237 publications

References 22 publications

Realization of Fractional Order Elements

Realization of Fractional Order Elements

In Situ Li‐Plating Diagnosis for Fast‐Charging Li‐Ion Batteries Enabled by Relaxation‐Time Detection

Separators Based on the Dynamic Tip‐Occupying Electrostatic Shield Effect for Dendrite‐Free Lithium‐Metal Batteries

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