平面对偶电路拓扑关系的网络矩阵实现  

Network Matrix Implementation of Topological Relations in Planar Dual Circuits

作　　者：朱泓润 孙立山[2] ZHU Hong-run;SUN Li-shan(Dept.of Control Science and Engineering,Harbin Institute of technology,Harbin Institute of technology,Harbin 150001,China;Dept.of Electrical Engineering,Harbin Institute of technology,Harbin 150001,China)

机构地区：[1]哈尔滨工业大学控制科学与工程系,黑龙江哈尔滨150001 [2]哈尔滨工业大学哈尔滨工业大学电气工程系,黑龙江哈尔滨150001

出　　处：《电气电子教学学报》2019年第6期106-110,共5页Journal of Electrical and Electronic Education

基　　金：哈尔滨工业大学教学改革项目_微课建设及课堂教学改革实践(项目编号:JGJC_2017007)

摘　　要：本文从网络矩阵的角度进行对偶电路绘制。先介绍了基本回路矩阵与基本割集矩阵的对偶关系,并基于此提出了对偶电路的绘图方法。然后,本文进一步改进,构造关联矩阵的对偶形式,并基于此提出了利用关联矩阵绘图的方法。利用网络矩阵实现对偶电路拓扑变换的方法,既方便操作,又能简洁地反映电路网络内部结构的联系。This paper draws the dual circuit from the angle of network matrix.Firstly,the dual relationship between basic loop matrix and basic cut set matrix is introduced,and based on this,a drawing method of dual circuit is proposed.Then,this paper further improves and constructs the dual form of the correlation matrix.Based on this,a drawing method using the correlation matrix is proposed.The method of topological transformation of dual circuit by using network matrix is convenient to operate and can concisely reflect the connection of internal structure of circuit network.

关 键 词：电路网络矩阵 对偶电路 拓扑变换 

分 类 号：G642.0[文化科学—高等教育学]