摘要
针对电力系统小扰动稳定分析,提出了一种实用的计算关键特征值的方法,使用重启动Arnoldi算法,借助Caylay变换,将关键特征值计算变为主特征值计算;利用增广状态矩阵的分块稀疏性,在计算过程中以对小型子区块的处理代替对大型稀疏矩阵的处理。在用于电力系统关键特征值计算的重启动Arnoldi算法中,改进其重启动向量的生成方式,避免Arnoldi计算过程中对复矩阵和复向量的处理,使得方法更加简单实用;3机9节点和10机39节点算例验证了方法的有效性和准确性。
A practical method is proposed in this paper to compute critical eigenvalues for small-signal stability analysis on power system.The critical eigenvalues are mapped to principal eigenvalues based on Cayley transformation matrix by using restarted Arnoldi.Taking advantage of the block sparseness of the augmented matrix,treatment of large matrix is avoided.By improving the generation mode of restart vector in the Arnoldi algorithm,treatment of complex matrix and complex vector is avoided,which makes the algorithm more practical.Two cases on 3-generator and 9-bus system and 10-generator and 39-bus system verify the effectiveness and accurateness of proposed method.
出处
《现代电力》
北大核心
2013年第5期73-77,共5页
Modern Electric Power
基金
国家自然科学基金资助项目(51107073)
