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一种动态扩维的IRA算法及其在电力系统关键特征值计算中的应用

DOI: 10.13334/j.0258-8013.pcsee.2015.17.005, PP. 4318-4325

Keywords: 隐式重启动Arnoldi算法,关键特征值,动态扩维,搜索圆

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Abstract:

文章对带位移逆变换的隐式重启动Arnoldi(implicitlyrestartedArnoldi,IRA)算法进行了改进,提出了动态增加Krylov子空间维数求取指定圆内特征值的方法。论文从隐式重启动机理出发,在锁定已收敛特征值的基础上,动态增加特征值个数和子空间维数,扩大搜索圆的半径,实现指定大小的搜索圆内部所有特征值的有效求解。进而将电力系统关键特征值所在区域按一定规则分割,分割得到的所有小区域利用搜索圆覆盖求解。该方法不需人工干预,并行实现后效率更高,且搜索机制规避了漏解的现象。最后,状态空间为570阶和5272阶的电力系统的关键特征值计算结果表明,所提方法不仅高效,且可靠实用。

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