潮流雅可比矩阵的对称性指标  

Indices for Evaluating Symmetry of Power Flow Jacobian Matrix

作　　者：徐志友[1] 刘瑞叶[2] 张启平[3] 李仁俊[4] 

机构地区：[1]天津大学电力系统仿真控制教育部重点实验室,天津市300072 [2]哈尔滨工业大学电气工程及自动化学院,黑龙江省哈尔滨市150001 [3]华东电网有限公司,上海市200002 [4]山东大学电气工程学院,山东省济南市250061

出　　处：《电力系统自动化》2008年第24期21-24,共4页Automation of Electric Power Systems

摘　　要：针对潮流雅可比矩阵的对称性问题,根据零对角元素实矩阵与其对称及反对称矩阵奇异值之间的关系构造实矩阵的对称指标。指标间的比较不仅包括2-范数(最大奇异值)和F-范数的比较,同时也包括奇异值加权和的比较。这些指标同样适用于复矩阵。IEEE30系统算例表明了其有效性。In order to evaluate the symmetry of a power flow Jacobian matrix, some symmetry indices are established according to the relation among the singular values of a real matrix with zero diagonal elements, the corresponding symmetric matrix and the antisymmetric matrix. The comparisons of indices include not only the comparisons of 2-norm and F-norm, but also those of the weighted sum of singular values. These indices are also applicable to complex matrix. The simulation on the IEEE 30 system shows the effectiveness of the proposed indices.

关 键 词：潮流雅可比矩阵 对称性 对称阵 反对称阵 奇异值 

分 类 号：TM711[电气工程—电力系统及自动化]