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CLC number: O441.1; TN711.3

On-line Access: 2018-02-06

Received: 2017-01-12

Revision Accepted: 2017-05-22

Crosschecked: 2017-12-17

Cited: 0

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Citations:  Bibtex RefMan EndNote GB/T7714


Zhi-zhong Tan


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Frontiers of Information Technology & Electronic Engineering  2017 Vol.18 No.12 P.2070-2081


Characteristic of the equivalent impedance for an m×n RLC network with an arbitrary boundary

Author(s):  Zhi-zhong Tan, Hong Zhu, Jihad H. Asad, Chen Xu, Hua Tang

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

Corresponding email(s):   tanz@ntu.edu.cn, zh7404@sina.com, jasad@ptuk.edu.ps, xuchen@ntu.edu.cn

Key Words:  RLC network, Resonance properties, Oscillation characteristics, Amplitude-frequency

Zhi-zhong Tan, Hong Zhu, Jihad H. Asad, Chen Xu, Hua Tang. Characteristic of the equivalent impedance for an m×n RLC network with an arbitrary boundary[J]. Frontiers of Information Technology & Electronic Engineering, 2017, 18(12): 2070-2081.

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%A Hong Zhu
%A Jihad H. Asad
%A Chen Xu
%A Hua Tang
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T1 - Characteristic of the equivalent impedance for an m×n RLC network with an arbitrary boundary
A1 - Zhi-zhong Tan
A1 - Hong Zhu
A1 - Jihad H. Asad
A1 - Chen Xu
A1 - Hua Tang
J0 - Frontiers of Information Technology & Electronic Engineering
VL - 18
IS - 12
SP - 2070
EP - 2081
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PB - Zhejiang University Press & Springer
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DOI - 10.1631/FITEE.1700037

Considerable progress has been made recently in the development of techniques to determine exactly two-point resistances in networks of various topologies. In particular, a general resistance formula of a non-regular m×n resistor network with an arbitrary boundary is determined by the recursion-transform (RT) method. However, research on the complex impedance network is more difficult than that on the resistor network, and it is a problem worthy of study since the equivalent impedance has many different properties from equivalent resistance. In this study, the equivalent impedance of a non-regular m×n RLC network with an arbitrary boundary is studied based on the resistance formula, and the oscillation characteristics and resonance properties of the equivalent impedance are discovered. In the RLC network, it is found that our formula leads to the occurrence of resonances at the boundary condition holding a series of specific values with an external alternating current source. This curious result suggests the possibility of practical applications of our formula to resonant circuits.


概要:现阶段,精确地计算拓扑网络中任意两节点间等效电阻的技术已经取得较大进展,特别是利用递推-变换(recursion-transform, RT)方法确定含有任意边界的非规则m×n电阻网络的一般等效电阻公式。然而,等效阻抗具有不同于等效电阻的性质,复杂阻抗网络的研究比电阻网络研究困难得多。基于电阻公式,本文研究了含有任意阻抗边界的非规则m×n阶RLC网络的等效复阻抗问题,并发现等效复阻抗的振荡特性和谐振特性。在RLC网络中,当边界阻抗取得一系列特殊值时,复阻抗公式与外部交流电产生共振。结果表明,该公式可以应用到谐振电路中。


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


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