Generalized Thevenin's Theorem for Linear N-Port Networks

Generalized Thevenin's Theorem for Linear N-Port Networks
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线性 N 端口网络的广义戴维南定理

DOI:
10.1109/tct.1969.1083021
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发表时间:
1969
期刊:
IEEE Transactions on Circuit Theory
影响因子:
--
通讯作者:
G. Longo
G. Longo
中科院分区:
--
文献类型:
--
作者:
G. Corazza;C. Someda;G. Longo

文献摘要

被引文献

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将戴维南定理(以及诺顿定理)推广到线性n端口网络的可能性是已知的[1],[2]。本文给出了广义定理的一个新的简单证明。此外,该证明涵盖了使用除电压和电流之外的端口变量来描述网络的外部行为的情况。仅考虑不是“病态”的n个端口131,[4],即n个端口对2n个端口变量施加n个线性独立约束,它们的外部行为可以描述为[1],[5],根据端口电压和电流,通过以下形式的矩阵方程
The possibility of generalizing Thevenin’s theorem (and, also, Norton’s theorem) for the case of linear n-port networks is already known [I],[2]. In this correspondence, a new simple proof of the generalized theorem is given. Furthermore, this proof covers the cases in which port variables other than voltages and currents are used to describe the external behavior of the network.Considering only n-ports that are not “pathological” 131,[4], ie, n-ports imposing n linearly independent constraints on the 2n-port variables, their external behavior may be described [l],[5], in terms of the port voltages and currents by means of a matrix equation of the form