一种新的配网潮流常Jacobian牛顿算法

Novel Newton Method with Constant Jacobian Matrix for Distribution Systems

根据牛顿法的基本原理,从复功率方程出发,对功率迭代方程中与电压相关的受控项进行初值替代,并对PV节点电压幅值线性拟合,使得算法的Jacobian矩阵变为常数矩阵,提高了计算效率,并显著降低了内存需求.算法不解耦,不受R/X数值大小的影响,并且对有PV节点的配电系统及有环配网也同样适用.最后,以多个算例表明,该算法具有出色的收敛性能和好的稳定性.

Based on Newton method, derived from complex power equations, the Jacobian matrix of the proposed method becomes constant by replacing the elements depending on voltage with their initial values and by linearizing on voltage magnitude of PV node. Thus, the proposed method is very efficient and requires less computer memory storage. It does not decouple, and resistance/reactance ratio does not influence its convergence. The method can also be used in the distribution systems with PV nodes and the meshed distribution networks. Numerical tests on several distribution systems show that the proposed method has excellent convergence characteristics and is very robust.