单符号网络函数及其数值、符号分离算法

提出了单符号网络函数的概念和建立节点导纳矩阵的分离形式,采用数值符号分离算法导出节点导纳矩阵的行列式和一阶、二阶代数余子式的计算公式.在此基础上,又导出了单符号网络函数的计算公式.应用这些公式,可以获得任意一个网络函数,且把网络中任意一个元件参数(K,L,C,g,g_m,β)作为符号保留在网络函数中.数值符号分离算法的时间复杂性是O(n³),因此,是一个有效算法,便于用计算机实现,且适用于大网络.

ONE-SYMBOL NETWORK FUNCTIONS AND NUMBERSYMBOL SEPARATING ALGORITHM

In this paper, the concept about one-symbol network functions is presentep and the separating form of node admittance matrices is founded. The formulas for calculating determinants, 1-cofactors, and 2-cofactors of node admittance matrices are derived by using the number-symbol separating algorithm. On this basis, the formulas for calculating one-symbol network functions are given. By using these formulas, we can obtain any network functions which make any component parameter a symbol. This is a polynomial complexity algorithm, so it is an efficient algorithm. Furthermore, it is convenient to realize this algorithm by computers. This algorithm is suitable to largenetworks.