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

• Type: Article in International Scientific Journal
• Date: 2020

Authors

Chen, LP (Author) Other; Wu, XB (Author) Other; Xu, LP (Author) Other; António Mendes Lopes (Author) FEUP; Machado, JAT (Author) Other; Wu, RC (Author) Other; Ge, SL (Author) Other

Journal

The Journal is awaiting validation by the Administrative Services.

Title: ALEXANDRIA ENGINEERING JOURNAL

Vol. 59

Pages: 3091-3104

ISSN: 1110-0168

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 1 Citation

Other information

Authenticus ID: P-00S-DJV

DOI: 10.1016/j.aej.2020.06.042

Abstract (EN): 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 (lozenge x 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. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 14