NDLI: Fractional-Order Three-Dimensional <formula formulatype=inline><tex Notation=TeX>$nablatimes n$</tex> </formula> Circuit Network

Content Provider	IEEE Xplore Digital Library
Author	Kun Zhou Diyi Chen Xu Zhang Rui Zhou Iu, H.H.-C.
Copyright Year	2004
Abstract	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.
Sponsorship	IEEE Circuits and Systems Society
Starting Page	2401
Ending Page	2410
Page Count	10
File Size	4334292
File Format	PDF
ISSN	15498328
Volume Number	62
Issue Number	10
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2015-01-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Impedance Difference equations Inductors Capacitors Integrated circuit modeling Fractional calculus phase characteristics Circuit networks comparative analysis fractional-order circuit impedance characteristics
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering Hardware and Architecture

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