基于子空间迭代法的快速N-1潮流计算方法研究

为提高N-1潮流计算的求解速度,提出基于子空间迭代法的快速N-1潮流计算方法。对初始潮流的雅克比矩阵进行不完全LU分解,得到固定的预条件子,应用结合了自适应GMRES(m)法的牛顿法求解N-1潮流。自适应GMRES(m)算法是GMRES算法的改进,能自动调节重启参数值,进一步提高算法收敛速度。对IEEE118、IEEE300、2383wp电力系统的仿真证明了基于子空间迭代法的快速N-1潮流计算方法的有效性。算例结果表明,自适应GMRES(m)算法能快速求解大规模线性方程组,适用于大规模系统的N-1潮流问题。

Study on Fast N-1 Power Flow Calculation Method Based on Subspace Iteration Method

In order to improve the solution speed of N-1 power flow calculation,the fast N-1 power flow calculation method is introduced based on subspace iteration method.The fixed preconditioner can be obtained by using incomplete LU factorization method to decompose the jacobian matrix of the initial power flow.Newton method which combines with adaptive GMRES method to solve N-1 power flow is used.Adaptive GMRES（m） algorithm is an improved GMRES algorithm,which can adjust restart parameter value automatically and improve the convergence rate further.This method is valid and correct,which has been proved in IEEE 118,IEEE 300 bus system and 2383wp system.The results show that adaptive GMRES（m） algorithm can solve large-scale linear equations quickly,and can be used for N-1 power flow in large scale systems.