大学物理 ›› 2018, Vol. 37 ›› Issue (2): 71-74.doi: 10.16854 /j.cnki.1000-0712.170337

• 大学生园地 • 上一篇    下一篇

割集在电路分析中的应用探索

刘志昂   

  1. 哈尔滨工业大学电气工程及自动化学院,黑龙江哈尔滨150006
  • 收稿日期:2017-06-08 修回日期:2017-08-15 出版日期:2018-02-20 发布日期:2018-02-20
  • 作者简介:刘志昂( 1996—) ,男,天津市人,哈尔滨工业大学电气工程及其自动化专业2014 级本科生.

Research on cut-set in the application of circuit analysis

LIU Zhi-ang   

  1. College of Electrical Engineering,Harbin Institute of Technology,Harbin,Heilongjiang 150006,China
  • Received:2017-06-08 Revised:2017-08-15 Online:2018-02-20 Published:2018-02-20

摘要: 分析电路的常规方法是根据基尔霍夫定律列写节点电压方程组或回路电流方程组,而节点、回路也是图论中的概 念.将电路分析与图论的相关原理相结合,利用图论中割集的概念提出了一种新的分析电路的方法———割集电压法.在分析节 点电压方程组和回路电流方程组的列写规则的基础上,给出了割集电压法方程组的列写规则,并进行了验证.该方法可以更加 直接地列写电路方程组,避免了大量的矩阵运算,也为从图论的角度分析电路、理解电路开辟了一条新的途径.

关键词: 电路分析, 图论, 基本割集矩阵

Abstract: The general approaches of circuit analysis are node voltage analysis and loop current analysis. Also, loop and node are concepts of graph theory. According to circuit analysis and graph theory,a new way called cut-set voltage analysis has been proposed and verified. In addition, the rules of cut-set voltage equations have been raised based on the rules of node voltage equations and loop current equations. The new approach not only avoids complex matrix operation and establishes the equations directly,but also contributes effectively to analyze circuit network from the angle of graph theory.

Key words: circuit analysis, graph theory, fundamental cut-set matrix