Realization of fractional order circuits by a Constant Phase Element

2020 ◽  
Vol 54 ◽  
pp. 64-72 ◽  
Author(s):  
A. Buscarino ◽  
R. Caponetto ◽  
S. Graziani ◽  
E. Murgano
Keyword(s):  
Fractional Order ◽  
Constant Phase Element ◽  
Fractional Order Circuits

scholarly journals Realization of a fractional-order RLC circuit via constant phase element

2021 ◽  
Author(s):  
Riccardo Caponetto ◽  
Salvatore Graziani ◽  
Emanuele Murgano
Keyword(s):  
Experimental Data ◽  
Carbon Black ◽  
Fractional Order ◽  
Constant Phase Element ◽  
Polymeric Matrix ◽  
Fractional Order Systems ◽  
New Device ◽  
Rlc Circuit ◽  
Simulation Results

AbstractIn the paper, a fractional-order RLC circuit is presented. The circuit is realized by using a fractional-order capacitor. This is realized by using carbon black dispersed in a polymeric matrix. Simulation results are compared with the experimental data, confirming the suitability of applying this new device in the circuital implementation of fractional-order systems.

A fractional order model for electrochemical impedance of IPMC actuators based on constant phase element

2020 ◽  
pp. 1045389X2097443
Author(s):  
Mohammad Javad Doregiraei ◽  
Hossein Moeinkhah ◽  
Jafar Sadeghi
Keyword(s):  
Fractional Order ◽  
Electrical Impedance ◽  
Constant Phase Element ◽  
Electrochemical Impedance ◽  
High Accuracy ◽  
Metal Composite ◽  
Order Model ◽  
Unknown Parameters ◽  
Fractional Order Model ◽  
Wide Range

The accurate modeling of electrical impedance over a wide range of frequency is essential for precise dynamic modeling and control problems of Electroactive Polymer (EAP) actuators. Recently, fractional order modeling has attracted more attention due to the high accuracy. This paper deals with a fractional order electrical impedance model and its identification procedure for a class of EAP actuator named Ionic Polymer Metal Composite (IPMC). To take IPMC’s fractional characteristic into account, constant phase element (CPE) is used to construct a model structure according to Electrochemical Impedance Spectroscopy (EIS). By employing the Levy’s method in combination with genetic optimization algorithm, the unknown parameters of the resulting fractional transfer function are identified. Finally the proposed model is verified, by comparing with experimental EIS data. The results show that the fractional order model has high accuracy for representing the electrical impedance of IPMC actuator. The proposed modeling procedure is general and can also be used for any type of EAPs.

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.

Sign in / Sign up

Export Citation Format

Share Document