针对大量接地支路电网形成节点阻抗矩阵的改进算法  

An improved algorithm for forming Z-matrix of power grid containing large amount of grounded-branches

作　　者：杨美佳[1] 刘宝柱[1] 

机构地区：[1]华北电力大学电气与电子工程学院,北京102206

出　　处：《电力系统保护与控制》2010年第22期161-165,共5页Power System Protection and Control

摘　　要：在大型实际电力网络中,为了能够有效处理支路间存在的互感和网络中大量的接地支路,提出了利用过渡矩阵形成节点阻抗矩阵的算法。该算法以电路基本理论为基础,分别形成了三个过渡矩阵:节点电压对支路电压矩阵MVU、节点电压对支路电流矩阵MVI和支路电流对节点注入电流矩阵MIJ;并将接地支路等效为节点注入电流后修正相应的过渡矩阵,形成扩展的节点电压对节点注入电流矩阵MVJ0;利用kron法对分块的MVJ0进行消去运算,进而得出节点阻抗矩阵ZM。结合算例给出了算法的主体流程,验证和比较分析了所提算法的有效性和高效性。该方法为利用节点阻抗矩阵开展下一步研究工作提供了一个新的分析工具。To process mutual inductance between transmission lines and large quantity of grounded-branches in power system efficiently, an improved algorithm using transitional matrix to form bus impedance matrix （Z-matrix） is presented. Based on basic theory of circuits, three transitional matrices are built, which are node voltage vs. branch voltage matrix Mvu, node voltage vs. branch current matrix Mvl and branch current vs. current injection matrix MIj. Corresponding transitional matrices are amended after grounded-branches are equivalent to bus current injection. Extended node voltage vs. current injection matrix MvJ0 is formed. Z-matrix is gained by using kron reduction method to calculate the blocked MvJ0. The main process is presented and a lot of examples show that the improved algorithm is effective and universal. It will be a new analysis tool for further research by using Z-matrix.

关 键 词：电力系统 节点阻抗矩阵 接地支路 过渡矩阵 kron消去法 

分 类 号：TM711[电气工程—电力系统及自动化]