Full Text:   <732>

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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: 2220

Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Zhi-zhong Tan

http://orcid.org/0000-0001-6068-3112

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

http://doi.org/10.1631/FITEE.1601560


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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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.

一类分数阶多功能n阶蜂巢型RLC电路网络

概要:研究了一类多功能n阶蜂巢型电阻网络模型,该问题一直未被解决。通过调节电路参数,该网络模型可以转化为含有多种功能的数个不同网络模型,例如一个规则的梯形网络、一个n阶三角形网络,等。我们导出了电阻网络的2个新的等效电阻公式,同时导出了LC网络的等效复阻抗公式,它们都属于分数阶范畴。首先,将一个复杂网络简化为一个简单的等效模型;其次,应用基尔霍夫定律,建立一个分式差分方程模型;再次,采用等效变换方法,给出非线性差分方程的通解。在实际应用中,获得了数个有趣的特殊结论。特别地,讨论分析了一个n阶LC复阻抗网络,发现了许多新的等效复阻抗特性。

关键词:蜂巢型网络;等效变换;分数阶差分方程;复阻抗特性

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

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