配电网电压稳定的分布式评估方法

Distributed evolution method of voltage stability in radial distribution networks

提出了一种分布式评估配电网静态电压稳定性的方法。基于Distflow潮流模型建立包括平衡节点在内的配电网潮流方程组,对方程组求导后得到雅克比矩阵;利用Shur补对上述雅克比矩阵进行降阶,降阶雅克比矩阵的行列式作为配电网电压稳定性的评估指标;进一步研究发现,降阶雅克比矩阵属于对角占优阵,行列式的值约等于对角元的乘积,且其对角元可以由配电网每个节点进行分布式计算。在IEEE 33节点配电网系统中验证了所提方法的可行性和有效性。

This paper presents a distributed method for quantifying and evaluating steady-state voltage stability of radial distribution networks.Firstly,based on the Distflow power flow model,a power flow equation with the slack node is established,and the Jacobian matrix corresponding to the state variables is obtained.The Jacobian matrix is reduced by Shur matrix transformation,and the determinant of the reduced Jacobian matrix can be used as an evaluation index of the voltage stability of the distribution network.It is found that the reduced Jacobian matrix belongs to diagonally dominant matrix.The value of a determinant is approximately equal to the diagonal elements whose diagonal elements can be computed distributed by each node of the distribution network.The feasibility and effectiveness of the proposed method are verified in the IEEE 33-bus distribution network system.