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本文专题研究含受控源线性网络矩阵分析的方法。首先简略介绍了目前有关教科书及文献中关于含受控源网络矩阵分析的一种基本方法,以及该种方法付诸于程序实施时为避免矩阵求逆而采用的电路变换的方法。这两种方法在本文中统称为中间矩阵法。针对其存在的缺点本文进行了改进处理,从而提出了一种直接列写含受控源网络矩阵方程的新方法,即所谓直接列写法。该方法简使易行,可以直读含各类受控源的网络的原始信息,经过简单的四则运算直接得到网络的矩阵方程;对于大型复杂网络需要计算机进行运算时,该法很容易付诸于程序实施,而且可望节省计算机内存和机时。本文以节点法的分析为重点,给出了直接列写法的公式推导和实际例题,并将该法的应用范围推广到一般的情形。对于割集法和回路法则在文末给出了有关的结论及例题。
This paper specializes in the method of matrix analysis with controlled source linear network. At first, a brief introduction of the basic methods of textbook and literature on matrix analysis with controlled source network and the method of circuit transformation to avoid matrix inversion when this method is applied in the program are briefly introduced. These two methods are collectively referred to as the intermediate matrix method herein. Aiming at the shortcoming of its existence, an improved method is presented in this paper, and a new method of directly writing matrix matrix equations with controlled source network is proposed. The method is simple and easy to operate, and can directly read the original information of networks with various controlled sources. After a simple four-operation, the network matrix equation can be obtained directly. When large-scale complex networks require computation, this method can be easily applied In program implementation, and is expected to save computer memory and machine time. This article focuses on the analysis of the nodal method, gives the formula derivation and practical examples of the direct column method, and extends the scope of application of the law to the general situation. At the end of this article, we give the relevant conclusions and examples for the cut set method and circuit law.