放射形配网潮流计算的一种新的牛顿法

前推回推法是放射形配网潮流计算最基本的算法.通过对前推回推法求解过程的数学演化,导出一种新的牛顿类型的算法及其雅可比矩阵直接分解公式.利用比较原理,间接证明该算法是一种具有超线性收敛性的近似牛顿法.与经典牛顿法相比,该算法无须计算雅可比矩阵、无须三角因子分解等过程,直接由前代/回代或回代/前代过程就能完成;与前推回推法相比,该算法无须特定的节点和支路编号过程.文中以一个实际的中等规模配电系统为例,分析、比较前推回推法、导出的近似牛顿法、经典牛顿法等的收敛性和计算速度,证实上述研究结论.

A Novel Newton Based Power Flow Solution for Radial Distribution Systems

The back/forward sweep method is the most popular algorithm for loaf flow solution of radial distribution systems. Through the mathematical evaluation or derivation of this algorithm, a novel Newton - based power flow method with a direct factorization formulation of Jacobian matrix is proposed for radial distribution systems. Using the comparison principle, it is proved that the proposed method is of superlinear convergence, The proposed algorithm takes the advantages of both the classical Newton method and the back/forward sweep method. Tests on a practical radial distribution system have shown that, the proposed method is as robust as, but more efficient than the back/forward sweep method.