电压稳定分析中降阶潮流雅可比矩阵的研究  

Research on Power Flow Reduced Jacobian Matrix for Voltage Stability Analysis

作　　者：曹国云[1] 王强[2] 刘丽霞[1] 

机构地区：[1]上海交通大学电气工程系,上海市闵行区200240 [2]天津市电力公司电力通信分公司,天津市河北区300010

出　　处：《中国电机工程学报》2008年第4期42-47,共6页Proceedings of the CSEE

基　　金：国家自然科学基金项目(50307007)~~

摘　　要：基于降阶潮流雅可比矩阵的V-Q灵敏度、模态分析等静态分析方法在分析电压稳定方面得到了广泛应用,但降阶雅可比矩阵涉及到系统潮流雅可比矩阵的子矩阵Pθ可逆的问题,针对此问题,该文首先结合数学矩阵理论及电力系统的实际情况就矩阵Pθ是可逆矩阵给出明确的证明,为基于降阶雅可比矩阵的应用提供理论支持。最后以新英格兰39节点系统作为算例,通过分析计算矩阵Pθ的行列式、模最小特征值及条件数来验证矩阵Pθ的可逆性,为电压稳定分析提供理论基础。The methods of V-Q sensitivity analysis and modal analysis based on reduced Jacobian matrix have been widely used for static analysis of power system voltage stability and have a long history. However, they are involved with the assumption that the sub-matrix Pθ is invertible. Toward this problem, a definite proof was given based on the matrix theory and the actual conditions of power system that the sub-matrix is invertible, and a theoretical foundation was provided for the application of the reduced Jacobian matrix. Finally, numerical study on New England 39-bus power system was given to illustrate and justify the result that the sub-matrix is invertible.

关 键 词：电力系统稳定 电压稳定 潮流雅可比矩阵 降阶潮流雅可比矩阵 子矩阵Pθ 

分 类 号：TM71[电气工程—电力系统及自动化]