结点电压方程的改进和广义结点电压方程的建立  

Improvement of node voltage equation and establishment of generalized node voltage equation

作　　者：彭爱莲 PENG Ai-lian(School of Electrical and Electronic Engineering, Shangqiu Normal University, Shangqiu, Henan 476000, Chin)

机构地区：[1]商丘师范学院电子电气工程学院,河南商丘476000

出　　处：《大学物理》2017年第10期13-15,37,共4页College Physics

基　　金：河南省高新领域科技攻关项目(102102210415)资助

摘　　要：通过对电路中独立结点分类,常规结点电压方程中互电导为零的项可以去除,改进后的结点电压方程公式更简洁,计算量降低.依据独立结点与广义结点的关系,将广义结点的KCL方程进行结构划分,总结出广义结点电压方程的一般表达式.分析证明,广义结点电压方程不仅适用由无伴电压源和无伴受控电压源所构成的广义结点,也适用于单个独立结点,属于更广泛意义上的结点电压方程.By classifying the independent nodes in the circuit, the expression of mutual conductance equal to zero can be removed. After improvement, the node voltage equation is more concise, and the computation is reduced. Based on the relation between the independent node and the generalized node, KCL equation for generalized node is modular in structure, the general expression of generalized nodal voltage equation is summarized. Analysis can prove that the voltage equation of the generalized node is not only suitable for the generalized node, which is composed of the solitary voltage source and the solitary controlled voltage source, but also can be applied to a single independent node, this voltage equation is applied more widely.

关 键 词：结点电压 广义结点 无伴电压源 自电导 互电导 

分 类 号：TM131[电气工程—电工理论与新技术]