ILU预处理Newton-Krylov方法的潮流计算

由于电力系统修正方程组具有高维、稀疏的特点，本文提出将预处理Krylov子空间方法应用于潮流修正方程组的求解，形成预处理Newton-Krylov的潮流计算方法。结合ILU预处理方法，比较了最常用的3类Newton-Krylov方法求解潮流方程的计算效果。通过对 IEEE30、IEEE118、IEEE300 和3个Poland大规模电力系统进行潮流计算，结果表明：3类Newton-Krylov方法是电力系统潮流计算的有效方法，呈现出良好的收敛特性和计算效率。

Newton-Krylov Methods with ILU Preconditioner for Power Flow Calculation

Due to the high-dimensional and sparse characteristics of correction equations in power systems, the preconditioned Krylov subspace methods were applied to solve the correction equations, thus forming the Newton-Krylov power flow calculation methods. With the ILU preconditioner, this paper compared the computational efficiency of three kinds of the most commonly used Newton-Krylov methods for solving power flow equations. Through power flow calculation of IEEE30, IEEE118, IEEE300 and 3 Poland large-scale power systems, the results show that the three Newton-Krylov methods are effective methods for power flow calculation, which have good convergence property and computational efficiency.