n端线性电阻网络的等效电路  

On the Equivalent Circuit of Linear Resistive Network with n Terminals

作　　者：刘松山[1] LIU Songshan(Dean＇s Office,Henan Arts Vocational College,Henan Zhengzhou 451464,China)

机构地区：[1]河南艺术职业学院教务处,河南郑州451464

出　　处：《河北师范大学学报（自然科学版）》2017年第2期121-126,共6页Journal of Hebei Normal University：Natural Science

基　　金：河南省自然科学基金(152300410213)

摘　　要：为了对n端线性电阻网络进行等效,提出并证明了定理:设有一个n端无源线性电阻网络No,已知任意两端的等效电阻为rjk,j=1,2,…,n-1;k=j+1,j+2,…,n(n≥3),若有n个电阻Ri,i=1,2,…,n,当方程(1)有唯一解时,则No等效为一个n端星形电阻网络.总结得出计算Ri的通项公式.提出判断(1)有唯一解的简单方法.应用该定理可以简化对No的等效过程.举例说明了该定理的应用,其理论计算与Multisim仿真测量的结果一致.In order to carry out an eq nals,the following theorem is given and uivalent analysis of passive linear resistive network with n termiproved. The theorem is that given a linear resistance network No with n terminals,and the equivalent resistance of any two terminals is r jk ,j=1,2,… ,n-1 ;k=j＋1,j＋2, … ,n（n≥3）,if there are n resistance Ri ,i=1,2,…,n, when the equation （1） has unique solution,the network no can be equivalent to a star resistive network with n terminals. The general term formula for the calculation of Ri is summarized. The used to simplify the equivalent analy simpl sis of e judgment for unique solution is obtained. The theorem can be No. Examples are given to show the application of the theorem, and the calculations are consistent with the simulation measurement.

关 键 词：n端线性电阻网络 等效变换 星形电路 仿真测量 

分 类 号：O441.1[理学—电磁学]