小干扰稳定性分析中一种关键特征值计算的稀疏实现

该文提出了一种大规模电力系统小干扰稳定性分析中基于稀疏技术的关键特征值求解方法。该方法借助于Cayley变换，将关键特征值计算变为主特征值的计算，导出了基于稀疏增广状态矩阵的幂法迭代公式，并利用稀疏2×2分块矩阵及稀疏三角分解技术实现了该方法。2个示例系统的计算结果验证了算法的正确性和有效性。该方法不但可用于低频振荡抑制中控制器参数的协调优化，而且其中使用的多种基本技术也可以推广到基于子空间法求取部分关键特征值的各种迭代计算中。

A SPARSE METHOD FOR THE CALCULATION OF CRITICAL EIGENVALUE IN SMALL SIGNAL STABILITY ANALYSIS

This paper presents a sparsity-based critical eigenvalue technique in small signal stability analysis of large scale power systems. The calculation of critical eigenvalue is changed to the calculation of dominant eigenvalue by using Cayley transformation, and the power iteration to calculate the dominant eigenvalue is formulated by the sparse augmented state matrix. The iteration is realized with sparse 2x2 block matrix and sparse triangular factorization technique. Many techniques in the proposed method can be applied to iteration calculation of detecting the critical eigenvalues based on subspaces methods. Results of eigenvalue calculations for two systems of different size and complexity show the method is correct and valid.