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: 6643
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.
@article{title="A fractional-order multifunctional n-step honeycomb RLC circuit network",
author="Ling Zhou, Zhi-zhong Tan, Qing-hua Zhang",
journal="Frontiers of Information Technology & Electronic Engineering",
volume="18",
number="8",
pages="1186-1196",
year="2017",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.1601560"
}
%0 Journal Article
%T A fractional-order multifunctional n-step honeycomb RLC circuit network
%A Ling Zhou
%A Zhi-zhong Tan
%A Qing-hua Zhang
%J Frontiers of Information Technology & Electronic Engineering
%V 18
%N 8
%P 1186-1196
%@ 2095-9184
%D 2017
%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.1601560
TY - JOUR
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
Abstract: 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.
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