广义节点方程建立算法研究  

Algorithm of Supernodal Equation Establishment

作　　者：李迪[1] 段旭朝[1] 刘飞[1] 

机构地区：[1]宝鸡文理学院物理与信息技术系,陕西宝鸡721016

出　　处：《现代电子技术》2010年第20期13-16,共4页Modern Electronics Technique

基　　金：宝鸡文理学院一般科研资助项目(YKO914);陕西省教育厅省级精品课程建设经费资助项目(陕教高[2005]41号)

摘　　要：通过引入由若干互连的无伴电压源支路及其端节点组成的广义节点,采用节点分析法和加减消元法,探究广义节点方程的建立规范和方法,建立了广义节点方程建立算法,解决了用节点电压分析法分析含有无伴电压源支路电路时所遇到的困难,确保了节点电压分析法的规范性和一致性,并可使所列节点电压方程尽量减少。理论分析和实例表明,这里提出的算法对于解决含有无伴电压源支路的电路具有很大的优越性。With introduction of the supernode composed of a number of interconnection solitary voltage source branch and its end nodes, the criterion and methods of establishing the supernode equation are explored by using the method of nodal voltage analysis and elimination method with addition or subtraction. As a result, the algorithm of establishing the supernode equation are proposed, the difficulties are resolved when using the method of nodal voltage analysis to analyze the circuit which contains some branch of solitary voltage source, the normalization and consistency of the nodal voltage analysis method are retained, and the numbers of nodal voltage equations are also reduced. Theoretical analysis and instances show that the algorithm of establishing the supernode equation has incomparable advantage of solving the problem of the circuit with some branch of solitary voltage source.

关 键 词：节点电压分析法 无伴电压源 广义节点方程 算法 

分 类 号：TN710-34[电子电信—电路与系统] TM133[电气工程—电工理论与新技术]