Theoretical analysis and experimental verification of fractional-order RC cobweb circuit network

• Type: Article in International Scientific Journal
• Date: 2023

Authors

Liu, Y (Author) Other; Chen, LP (Author) Other; Wu, XB (Author) Other; António Mendes Lopes (Author) FEUP; Cui, FQ (Author) Other; Chen, YQ (Author) Other

Journal

Title: Chaos, Solitons & Fractals

Vol. 172

ISSN: 0960-0779

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 0 Citations

Other information

Authenticus ID: P-00Y-DZC

DOI: 10.1016/j.chaos.2023.113541

Abstract (EN): Recent research has shown that ideal capacitors and inductors do not physically exist, and that the dynamics of real devices can be accurately described by fractional-order (FO) mathematical models. This paper investigates a class of 2 x n order RC cobweb FO circuit network with central node. Based on the Kirchhoff's laws, the impedance magnitude and phase between two points of the network are derived using difference equations and matrix transformations. Three impedance expressions are deduced, and their correctness is verified numerically and by simulations. The influence of various parameters of the electrical network, namely the resistance, capacitance, number of circuit units, frequency and fractional order, on the impedance is studied. Additionally, for the first time, physical experiments are presented to compare the effectiveness of FO and integer-order circuit networks for describing the impedance of actual physical circuits. These experiments confirm that FO circuit network models perform better than the integer-order ones for representing the characteristics of the impedance magnitude and phase.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 13