对星形-多角形电路等效变换的再研究  

Re-study of the Equivalent Conversion for Star-polygon Circuits

作　　者：刘松山[1] 

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）》2016年第2期134-138,共5页Journal of Hebei Normal University：Natural Science

基　　金：河南省自然科学基金(152300410213)

摘　　要：根据电路等效变换条件,列出了星形电路和多角形电路的节点方程,利用星形与多角形电路的导纳矩阵相等关系,简便得出星形与多角形电路相互等效变换的公式,以及相互等效的星形与多角形电路参数之间的关系式.通过理论分析和Multisim程序仿真实验,得出结论:当多角形电路满足(7)的等效条件,或列出类似于方程(12)的增广矩阵和系数矩阵的秩满足r(珚A)=r(A)=n条件时,可用多种方法把多角形电路等效星形电路,否则,多角形电路不能等效星形电路,对这类多角形电路,可用构建等效条件法进一步等效简化.According to the conditions for equivalent conversion,the simultaneous node equations are given for the star and polygon circuit.Considering the equality of the admittance matrix for star and polygon circuits,we easily got the equivalent conversion equation for star and polygon circuits.The relations between parameters are also given for star and polygon circuits.Based on theoretical analysis and simulation by Multisim,conclusions are achieved as follows.When the polygon circuit meets the application condition equation（7）,or the ranks of the augmented matrix and coefficient matrix like equation（12）meets the relation r（珚A）=r（A）=n,more methods can be used to turn polygon circuit into star circuit equivalently.Otherwise the polygon circuit cannot be equivalent to star circuit.For such polygon circuit,the equivalent conditions can be constructed to simplify the circuit equivalently.

关 键 词：星形电路 多角形电路 等效变换 分解电阻 

分 类 号：O441.1[理学—电磁学]