NDLI: Analysis of a rectangular prism n-units RLC fractional-order circuit network

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Analysis of a rectangular prism n-units RLC fractional-order circuit network

Content Provider	Directory of Open Access Journals (DOAJ)
Author	Liping Chen António M. Lopes Ranchao Wu Xiaobo Wu Suoliang Ge Linpeng Xu J.A. Tenreiro Machado
Abstract	It was demonstrated recently that ideal capacitors can not exist physically and that the behavior of real-world inductors and capacitors is characterized by fractional-order (FO) models. Therefore, the modeling and analysis of FO electrical circuit networks (FO-ECN) has gained considerable interest. This paper introduces the basic principles of a class of rectangular prism n-units (♢×n) RLC FO-ECN, including the mathematical modeling and the analysis of the impedance magnitude and phase. Three general formulas of the equivalent impedance between two nodes of the FO-ECN are obtained by the matrix transform method. The relationship between the impedance and the FO-ECN parameters, including the capacitance, inductance, number of circuit units and FO are investigated. Numerical simulations reveal dynamical phenomena not exhibited by ordinary ECN.
Related Links	http://www.sciencedirect.com/science/article/pii/S1110016820303173
ISSN	11100168
e-ISSN	20902670
DOI	10.1016/j.aej.2020.06.042
Journal	Alexandria Engineering Journal
Issue Number	5
Volume Number	59
Language	English
Publisher	Elsevier
Publisher Date	2020-01-01
Publisher Place	Egypt
Access Restriction	Open
Subject Keyword	Engineering (general). Civil Engineering (general) Fractional-order Circuit Networks Impedance Characteristics Phase Characteristics
Content Type	Text
Resource Type	Article
Subject	Engineering

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