CLC number: O441.1; TN711.3
On-line Access: 2024-08-27
Received: 2023-10-17
Revision Accepted: 2024-05-08
Crosschecked: 2017-12-17
Cited: 0
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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.
@article{title="Characteristic of the equivalent impedance for an m×n RLC network with an arbitrary boundary",
author="Zhi-zhong Tan, Hong Zhu, Jihad H. Asad, Chen Xu, Hua Tang",
journal="Frontiers of Information Technology & Electronic Engineering",
volume="18",
number="12",
pages="2070-2081",
year="2017",
publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.1700037"
}
%0 Journal Article
%T Characteristic of the equivalent impedance for an m×n RLC network with an arbitrary boundary
%A Zhi-zhong Tan
%A Hong Zhu
%A Jihad H. Asad
%A Chen Xu
%A Hua Tang
%J Frontiers of Information Technology & Electronic Engineering
%V 18
%N 12
%P 2070-2081
%@ 2095-9184
%D 2017
%I Zhejiang University Press & Springer
%DOI 10.1631/FITEE.1700037
TY - JOUR
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
%@ 2095-9184
Y1 - 2017
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/FITEE.1700037
Abstract: 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.
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