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

提出了一种基于m次重启的简化广义最小残差法(simpler generalized minimal residual algorithm of m times restart,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。

Power System Transient Stability Simulation Based on Simpler Generalized Minimal Residual Algorithm of m-Times Restart

A new simpler generalized minimal residual algorithm of m-times restart(SGMRES(m)) is proposed,namely the linear equations,which form in the transient stability simulation during the iteration from the n-th step to(n+1)-th step,are solved by SGMRES(m).Through modifying the generative process of normal orthogonal basis,the m-order upper Hessenber matrix is turned into upper triangular matrix,thus so long as simply solving the upper triangular linear equations the correction value of the solution is attained,...