Investigation of Bacterial Cellulose-based Fractional Order Element behaviour

2021 ◽  
Author(s):  
Riccardo Caponetto ◽  
Giovanna di Pasquale ◽  
Salvatore Graziani ◽  
Emanuele Murgano ◽  
Antonino Pollicino ◽  
...  
Keyword(s):  
Bacterial Cellulose ◽  
Fractional Order ◽  
Order Element

Modeling of a Fractional Order Element Based on Bacterial Cellulose and Ionic Liquids

2021 ◽  
Vol 143 (7) ◽  
Author(s):  
R. Caponetto ◽  
S. Graziani ◽  
E. Murgano ◽  
C. Trigona ◽  
A. Pollicino ◽  
...  
Keyword(s):  
Ionic Liquids ◽  
Frequency Domain ◽  
Bacterial Cellulose ◽  
Fractional Order ◽  
Wide Frequency Range ◽  
Complex Frequency ◽  
Frequency Range ◽  
Time Stability ◽  
Order Element ◽  
Lumped Circuit Model

Abstract In this paper, a novel fractional-order element (FOE) is modeled in a wide frequency range. The FOE is based on a green biopolymer, i.e., bacterial cellulose (BC), infused with ionic liquids (ILs). The modeling is performed in the frequency domain and a lumped-circuit model is proposed. The model is an evolution with respect to a simpler one already introduced by the authors, for a narrower frequency range. Results show that ILs generate a quite complex frequency domain behavior, which can be described in the framework of FOEs. Furthermore, results on the time stability of the device under investigation are given.

scholarly journals The Microcontroller Implementation of the Basic Fractional-Order Element

2020 ◽  
Vol 24 (4) ◽  
pp. 19-26
Author(s):  
Krzysztof Oprzędkiewicz ◽  
Maciej Rosół ◽  
Jakub Żegleń-Włodarczyk
Keyword(s):  
Control Systems ◽  
Real Time ◽  
Fractional Order ◽  
Dynamic Systems ◽  
Broad Class ◽  
Fractional Order Control ◽  
Linear And Nonlinear ◽  
Hard Real Time ◽  
Order Element ◽  
Accuracy Of Approximation

The paper presents the implementation of the basic fractional order element sγ on the STM32 microcontroller platform. The implementation employs the typical CFE and FOBD approximations, the accuracy of approximation as well as duration of calculations are experimentally tested. Microcontroller implementation of fractional order elements is known; however, real-time tests of such implementations have been not presented yet. Results of experiments show that both methods can be implemented at the considered platform. The FOBD approximation is more accurate, but the CFE one is faster. The presented experimental results prove that the STM32F7 family processor could be used to develop the embedded fractional-order control systems for a broad class of linear and nonlinear dynamic systems. This is crucial during the implementation of the fractional-order control in the hard real-time or embedded systems.

Green Fractional Order Elements Based on Bacterial Cellulose and Ionic Liquids

2020 ◽  
Author(s):  
Riccardo Caponetto ◽  
Giovanna Di Pasquale ◽  
Salvatore Graziani ◽  
Emanuele Murgano ◽  
Antonino Pollicino ◽  
...  
Keyword(s):  
Ionic Liquids ◽  
Bacterial Cellulose ◽  
Fractional Order

On the Energy Stored in Fractional-Order Electrical Elements

2013 ◽  
Author(s):  
Tom T. Hartley ◽  
Robert J. Veillette ◽  
Carl F. Lorenzo ◽  
Jay L. Adams
Keyword(s):  
Fractional Order ◽  
Energy Input ◽  
Major Conclusion ◽  
Energy Storage Devices ◽  
Initial Current ◽  
Circuit Realization ◽  
External Work ◽  
Storage Devices ◽  
The Past ◽  
Order Element

In this paper, fractional-order electrical elements are considered as energy storage devices. They are studied by comparing the energy available from the element to do future external work, relative to the energy input into the element in the past. A standard circuit realization is used to represent the fractional-order element connected to an inductor with a given initial current. This circuit realization is used to determine the energy returned by both capacitive and inductive fractional-order elements of order between zero and one. Plots of the energy stored versus time are provided. The major conclusion is that fractional-order elements tend to rapidly dissipate much of their input energy leaving less energy for doing work in the future.

Recent developments on the realization of fractance device

2021 ◽  
Vol 24 (6) ◽  
pp. 1831-1852
Author(s):  
Battula T. Krishna
Keyword(s):  
Fractional Order ◽  
Constant Phase Element ◽  
Order Approximation ◽  
Active Networks ◽  
Science And Engineering ◽  
Advantages And Disadvantages ◽  
The People ◽  
Recent Developments ◽  
Fractional Order Differentiator ◽  
Order Element

Abstract A detailed analysis of the recent developments on the realization of fractance device is presented. A fractance device which is used to exhibit fractional order impedance properties finds applications in many branches of science and engineering. Realization of fractance device is a challenging job for the people working in this area. A term fractional order element, constant phase element, fractor, fractance, fractional order differintegrator, fractional order differentiator can be used interchangeably. In general, a fractance device can be realized in two ways. One is using rational approximations and the other is using capacitor physical realization principle. In this paper, an attempt is made to summarize the recent developments on the realization of fractance device. The various mathematical approximations are studied and a comparative analysis is also performed using MATLAB. Fourth order approximation is selected for the realization. The passive and active networks synthesized are simulated using TINA software. Various physical realizations of fractance device, their advantages and disadvantages are mentioned. Experimental results coincide with simulated results.

scholarly journals History and Progress of Fractional-Order Element Passive Emulators: A Review

2020 ◽  
Vol 29 (2) ◽  
pp. 296-304 ◽  
Author(s):  
A. Kartci ◽  
N. Herencsar ◽  
J. T. Machado ◽  
L. Brancik
Keyword(s):  
Fractional Order ◽  
Order Element

Carbon Black based capacitive Fractional Order Element towards a new electronic device

2018 ◽  
Vol 84 ◽  
pp. 307-312 ◽  
Author(s):  
A. Buscarino ◽  
R. Caponetto ◽  
G. Di Pasquale ◽  
L. Fortuna ◽  
S. Graziani ◽  
...  
Keyword(s):  
Carbon Black ◽  
Fractional Order ◽  
Electronic Device ◽  
Order Element
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