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应用科学学报 ›› 1990, Vol. 8 ›› Issue (4): 283-291.

• 论文 •    下一篇

单符号网络函数及其数值、符号分离算法

戴杰1, 李锋2   

  1. 1. 上海城建学院;
    2. 复旦大学
  • 收稿日期:1989-02-25 修回日期:1989-08-28 出版日期:1990-12-31 发布日期:1990-12-31

ONE-SYMBOL NETWORK FUNCTIONS AND NUMBERSYMBOL SEPARATING ALGORITHM

DAI JIE1, LI FENG2   

  1. 1. Shanghai College of Architectural and Municipal Engineering;
    2. Fudan University
  • Received:1989-02-25 Revised:1989-08-28 Online:1990-12-31 Published:1990-12-31

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摘要： 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,gm,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.

Abstract: 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.