含有无伴受控源网络的结点电压全矩阵分析  

Node Voltage Full-Matrix Analysis of Containing Unaccompanied Controlled Source Network

作　　者：霍龙[1] 

机构地区：[1]沈阳工程学院电力学院,辽宁沈阳110136

出　　处：《沈阳工程学院学报（自然科学版）》2016年第3期227-233,共7页Journal of Shenyang Institute of Engineering:Natural Science

基　　金：辽宁省教育厅科学研究一般项目资助(L2014518)

摘　　要：当线性网络中存在无伴受控源时,会给系统化建立结点电压方程的矩阵形式带来困难。在改进结点电压法的基础上,将无伴独立源推广至无伴受控源,分别用关联矩阵以子块形式表示无伴受控电压源、无伴受控电流源以及控制支路与结点的关联性质。推导适用于无伴受控源的结点导纳矩阵,给出了包括无伴独立源在内的完全矩阵形式的结点电压方程,并编制了完整的分析程序。结合算例对矩阵方程进行验证,验证结果证明了所提方程的正确性,在理论上完善了结点电压方程的系统建立方法,分析程序具有一定的实用性。When the unaccompanied controlled source exists in the linear network, it is difficult to establish the matrix form of node voltage equation in the system. In this paper, the method which applied to the unaccompanied independent source circuit was extended to the unaccompanied controlled source circuit based on the improved node-voltage method. The unaccompanied controlled voltage source, the unaccompanied controlled current source and the correlation properties between the controlling branch and the node were represented in subblock form by the incidence matrix. By deriving the node admittance matrix applied to the unaccompanied controlled source circuit, the full-matrix form node voltage equation including the unaccompanied independent source could be obtained, and the whole analysis program could be completed. The matrix equation is verified by an example, and the results prove the validity of the proposed equation. In theory, the method for establishing the node voltage equation in system is more perfect, and the analysis program is more practical.

关 键 词：网络分析 结点电压法 无伴电压源 无伴受控源 结点导纳矩阵 

分 类 号：TM133[电气工程—电工理论与新技术]