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电网技术  2011 

基于m次重启的简化广义最小残差法的电力系统暂态稳定仿真

, PP. 96-100

Keywords: 电力系统仿真,暂态稳定性,基于m次重启的简化广义最小残差法,不完全LU预处理,伪牛顿法

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Abstract:

提出了一种基于m次重启的简化广义最小残差法(simplergeneralizedminimalresidualalgorithmofmtimesrestart,SGMRES(m))的电力系统暂态稳定仿真新算法,即采用SGMRES(m)方法对暂态稳定仿真中形成的线性方程组进行求解,通过修正标准正交基的生成过程,使得m阶上Hessenberg矩阵成为上三角矩阵。这样,只要通过简单的上三角线性方程组的求解即可求得解的修正量,避免了求解广义最小残差法每次迭代中的最小二乘问题,从而有效地减少了计算量。为进一步加快计算速度,文中算法进一步结合了伪牛顿策略和不完全LU预处理技术。多个算例的计算结果表明,所提出方法是有效的。

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