Fractional-order three-dimensional × n circuit network

K. Zhou; D. Chen; X. Zhang; R. Zhou; Ho Ching Iu

doi:10.1109/TCSI.2015.2469031

Fractional-order three-dimensional × n circuit network

K. Zhou, D. Chen, X. Zhang, R. Zhou, Ho Ching Iu

Research output: Contribution to journal › Article

15 Citations (Scopus)

Abstract

© 2015 IEEE. This paper introduces new fundamentals of the three-dimensional × n RLC circuit network in the fractional- order domain. First, we derive the general formula of the typical equivalent impedance of the circuit network in different cases by using matrix transform method and the difference equation model. Then, we systematically investigate the effects of the five system parameters (inductance (L), capacitance (C), the number of circuit units (n), and fractional orders α and β) on the impendence characteristics and the phase characteristics of two different cases. Specifically, interesting phenomena and laws are presented by the numerical simulations. Moreover, a comparative analysis about the impendence characteristics and the phase characteristics of the two cases for the fractional-order three-dimensional circuit network is studied in detail. Finally, the results of PSpice simulation are presented to validate the study.

Original language	English
Pages (from-to)	2401-2410
Journal	IEEE Transactions on Circuits and Systems I: Regular Papers
Volume	62
Issue number	10
DOIs	https://doi.org/10.1109/TCSI.2015.2469031
Publication status	Published - 2015

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title = "Fractional-order three-dimensional × n circuit network",

abstract = "{\textcopyright} 2015 IEEE. This paper introduces new fundamentals of the three-dimensional × n RLC circuit network in the fractional- order domain. First, we derive the general formula of the typical equivalent impedance of the circuit network in different cases by using matrix transform method and the difference equation model. Then, we systematically investigate the effects of the five system parameters (inductance (L), capacitance (C), the number of circuit units (n), and fractional orders α and β) on the impendence characteristics and the phase characteristics of two different cases. Specifically, interesting phenomena and laws are presented by the numerical simulations. Moreover, a comparative analysis about the impendence characteristics and the phase characteristics of the two cases for the fractional-order three-dimensional circuit network is studied in detail. Finally, the results of PSpice simulation are presented to validate the study.",

author = "K. Zhou and D. Chen and X. Zhang and R. Zhou and Iu, {Ho Ching}",

year = "2015",

doi = "10.1109/TCSI.2015.2469031",

language = "English",

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journal = "IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS-I : REGULAR PAPERS",

issn = "1549-8328",

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TY - JOUR

T1 - Fractional-order three-dimensional × n circuit network

AU - Zhou, K.

AU - Chen, D.

AU - Zhang, X.

AU - Zhou, R.

AU - Iu, Ho Ching

PY - 2015

Y1 - 2015

N2 - © 2015 IEEE. This paper introduces new fundamentals of the three-dimensional × n RLC circuit network in the fractional- order domain. First, we derive the general formula of the typical equivalent impedance of the circuit network in different cases by using matrix transform method and the difference equation model. Then, we systematically investigate the effects of the five system parameters (inductance (L), capacitance (C), the number of circuit units (n), and fractional orders α and β) on the impendence characteristics and the phase characteristics of two different cases. Specifically, interesting phenomena and laws are presented by the numerical simulations. Moreover, a comparative analysis about the impendence characteristics and the phase characteristics of the two cases for the fractional-order three-dimensional circuit network is studied in detail. Finally, the results of PSpice simulation are presented to validate the study.

AB - © 2015 IEEE. This paper introduces new fundamentals of the three-dimensional × n RLC circuit network in the fractional- order domain. First, we derive the general formula of the typical equivalent impedance of the circuit network in different cases by using matrix transform method and the difference equation model. Then, we systematically investigate the effects of the five system parameters (inductance (L), capacitance (C), the number of circuit units (n), and fractional orders α and β) on the impendence characteristics and the phase characteristics of two different cases. Specifically, interesting phenomena and laws are presented by the numerical simulations. Moreover, a comparative analysis about the impendence characteristics and the phase characteristics of the two cases for the fractional-order three-dimensional circuit network is studied in detail. Finally, the results of PSpice simulation are presented to validate the study.

U2 - 10.1109/TCSI.2015.2469031

DO - 10.1109/TCSI.2015.2469031

M3 - Article

VL - 62

SP - 2401

EP - 2410

JO - IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS-I : REGULAR PAPERS

JF - IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS-I : REGULAR PAPERS

SN - 1549-8328

IS - 10

ER -