加权牛拉法在电力系统中的应用

Application of Weighted Newton-Raphson Method in Power System

基于牛拉法的潮流计算是电力系统中最基础且应用最广泛的电气计算。为了进一步提高潮流计算的收敛速度和减少计算耗时,在三阶收敛性的改进牛拉法的基础上,提出了一种快速加权的牛拉法。对加权牛拉法的原理作了直观的几何解释,用最优化思想构建误差平方和函数,并用二分法求最佳加权系数,将其应用于电力系统潮流计算中。算例分析表明在同样的收敛精度下,所提加权牛拉法迭代次数少,计算速度快且耗时少。

Newton-Raphson method based power flow calculation is the most basic and most widely used electrical calculation in power system. In order to further improve the convergence speed of the power flow calculation and reduce the time computing, this paper proposes a fast weighted Newton-Raphson method based on improved Newton-Raphson method with third-order convergence. The geometrical interpretation of the principle of the weighted Newton-Raphson method is made intuitively. The square error sum function is constructed by the optimization idea and the best weighting coefficient is obtained by dichotomy, which is applied to the power flow calculation. The results from numerical example show that under the same convergence accuracy, the proposed algorithm has fewer iterations and fast computing speed as well as less time consuming.