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

Chen, Liping; Wu, Xiaobo; Xu, Linpeng; Lopes, António M.; Machado, J. A. Tenreiro; Wu, Ranchao; Ge, Suoliang

http://hdl.handle.net/10400.22/18704

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Authors

Machado, J. A. Tenreiro

Wu, Ranchao

Ge, Suoliang

Abstract(s)

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 () 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.