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Electrical properties of a 2 × n non-regular hammock network
Indian Journal of Physics ( IF 2 ) Pub Date : 2023-12-21 , DOI: 10.1007/s12648-023-03027-w
Jun-Qiang Chen , Wen-Yi Ji , Zhi-Zhong Tan

Consider a class of 2 × n hammock network with two special conditions, the left and right boundary is zero resistance (collapse into a pole), and the middle horizontal axis is arbitrary resistance, which is a new model that has not been solved before. By using the recursion transform approach with potential parameters (RT-V), two set of novel equations are established for the determination of the precise electrical properties (potential and resistance) of a non-regular 2 × n hammock networks. The nodal voltage and equivalent resistance formulas for the 2 × n hammock networks are derived by using the general and specialized methods we describe for solving the various equations. In addition, we discuss the results of various special cases and derive some interesting results. To make it easier for the reader to understand, we have visualized what the potential function looks like. Our findings offer a fresh theoretical framework for the investigation of complicated network models.



中文翻译:

2 × n 非规则吊床网络的电特性

考虑一类2×  n吊床网络,有两个特殊条件,左右边界为零电阻(塌陷成极点),中间横轴为任意电阻,这是一个以前没有解决过的新模型。通过使用具有电位参数 (RT-V) 的递归变换方法,建立了两组新颖的方程,用于确定非规则 2 × n 吊床网络的精确电特性(电位和电阻 2 × n吊床网络的节点电压和等效电阻公式 是通过使用我们描述的用于求解各种方程的通用和专用方法导出的。此外,我们还讨论了各种特殊情况的结果并得出了一些有趣的结果。为了让读者更容易理解,我们可视化了潜在函数的样子。我们的研究结果为复杂网络模型的研究提供了一个新的理论框架。

更新日期:2023-12-22
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