Full Text:   <2387>

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CLC number: O441.1; TN711.3

On-line Access: 2017-09-08

Received: 2016-10-18

Revision Accepted: 2017-03-12

Crosschecked: 2017-08-14

Cited: 0

Clicked: 6329

Citations:  Bibtex RefMan EndNote GB/T7714


Zhi-zhong Tan


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Frontiers of Information Technology & Electronic Engineering  2017 Vol.18 No.8 P.1186-1196


A fractional-order multifunctional n-step honeycomb RLC circuit network

Author(s):  Ling Zhou, Zhi-zhong Tan, Qing-hua Zhang

Affiliation(s):  Department of Physics, Nantong University, Nantong 226019, China; more

Corresponding email(s):   zl7103@163.com, tanz@ntu.edu.cn

Key Words:  Honeycomb network, Equivalent transformation, Fractional differential equation, Impedance characteristics

Ling Zhou, Zhi-zhong Tan, Qing-hua Zhang. A fractional-order multifunctional n-step honeycomb RLC circuit network[J]. Frontiers of Information Technology & Electronic Engineering, 2017, 18(8): 1186-1196.

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%T A fractional-order multifunctional n-step honeycomb RLC circuit network
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%A Zhi-zhong Tan
%A Qing-hua Zhang
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%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.1601560

T1 - A fractional-order multifunctional n-step honeycomb RLC circuit network
A1 - Ling Zhou
A1 - Zhi-zhong Tan
A1 - Qing-hua Zhang
J0 - Frontiers of Information Technology & Electronic Engineering
VL - 18
IS - 8
SP - 1186
EP - 1196
%@ 2095-9184
Y1 - 2017
PB - Zhejiang University Press & Springer
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DOI - 10.1631/FITEE.1601560

We investigate a multifunctional n-step honeycomb network which has not been studied before. By adjusting the circuit parameters, such a network can be transformed into several different networks with a variety of functions, such as a regular ladder network and a triangular network. We derive two new formulae for equivalent resistance in the resistor network and equivalent impedance in the LC network, which are in the fractional-order domain. First, we simplify the complex network into a simple equivalent model. Second, using Kirchhoff’s laws, we establish a fractional difference equation. Third, we construct an equivalent transformation method to obtain a general solution for the nonlinear differential equation. In practical applications, several interesting special results are obtained. In particular, an n-step impedance LC network is discussed and many new characteristics of complex impedance have been found.




Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


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