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.
出处
《电力系统自动化》
EI
CSCD
北大核心
2008年第24期21-24,共4页
Automation of Electric Power Systems
关键词
潮流雅可比矩阵
对称性
对称阵
反对称阵
奇异值
power flow Jacobian matrix
symmetry
symmetric matrix
skew symmetric matrix
singular value
