利用重启动精化Arnoldi方法计算动态电压稳定分析中的关键特征值  

Application of Restarted-Refined Arnoldi Method to the Calculation of Critical Eigenvalues in Dynamic Voltage Stability Analysis

作　　者：王冠[1] 芙蓉薇[2] 朱振华[3] 李宏仲[4] 

机构地区：[1]山东大学电气工程学院,济南250061 [2]解放军炮兵学院南京分院基础部,南京211132 [3]山东电力研究院,济南250014 [4]上海交通大学电气工程系,上海200240

出　　处：《电工技术学报》2007年第10期150-155,共6页Transactions of China Electrotechnical Society

摘　　要：将一种重启动精化Arnoldi算法引入到电力系统动态电压稳定分析中来,用于求解大型系统雅可比矩阵特征值。该方法基于精化投影思想,利用精化Ritz向量代替传统的Ritz向量作为待求矩阵的近似特征向量,从而丰富了投影子空间中含有的所求特征向量的信息,提高了算法的收敛性和可靠性。两个算例表明该算法可以有效的求出大型电力系统雅可比矩阵的一组共轭特征值,以此可以判断系统中是否出现了Hopf分岔,为进一步分析电力系统的动态电压稳定性提供了理论依据。A restarted-refined Arnoldi method is introduced into dynamic voltage stability analysis which can be used for critical eigenvalues calculation of bulk power system. In the method presented, the conventional Ritz vectors are replaced with the refined ones which are used as the approximators based on the refined projection theory in order to enrich the information of the eigenvectors in the projective subspace. Two examples indicate that the method can work out a set of conjugate eigenvalues which will show whether the Hopf bifurcation appears and provide the theoretical basis for the dynamic voltage stability analysis.

关 键 词：电力系统 动态电压稳定 特征值 精化Arnoldi算法 重启动 HOPF分岔 

分 类 号：TM712[电气工程—电力系统及自动化]