含有二极管和X电路的n阶电路网络研究  

Study on the n-circuit Network with Diode and X Circuit

作　　者：施婷婷 谭志中[1] SHI Tingting;TAN Zhizhong(Dept.of Sciences,Nantong University,Nantong 226019,China)

机构地区：[1]南通大学理学院,江苏南通226019

出　　处：《江苏海洋大学学报（自然科学版）》2020年第1期82-87,共6页Journal of Jiangsu Ocean University:Natural Science Edition

基　　金：江苏省自然科学基金面上项目(BK20161278)。

摘　　要：研究了一类内含二极管和X电路的n阶电阻网络模型,该网络模型不仅含有5个电阻元件,而且含有二极管器件,使得该网络包含了多个不同的网络类型。解决该问题包括3个主要步骤:首先将所研究网络构建成为两个不同的等效电路模型,其次应用基尔霍夫定律建立非线性差分方程模型,最后将两种结构相似的方程进行统一处理,采用变换技术给出非线性差分方程的一般解,由此统一证明所给出的结果。电路网络研究获得了两个新的等效电阻公式,并推导出了一系列特殊的等效电阻结论。An n-order resistor network model with diodes and X circuits is studied,which is a problem that has not been studied before.The network model contains not only five resistor elements but also diodes,which makes the network contain several different network types.There are four steps of solving this problem.Firstly,the network is constructed into two different equivalent circuit models.Secondly,the nonlinear difference equation model is established by Kirchhoff’s law.Finally,two equations with similar structure are unified,and the general solution of the nonlinear difference equation is given by using the transformation technique.Thus the results given can be uniformly proved.As applications paper presents several interesting special conclusions.

关 键 词：复杂网络 等效变换 非线性差分方程 基尔霍夫定律 等效电阻 

分 类 号：O441.1[理学—电磁学] TN711.3[理学—物理]