论文标题
使用预计的牛顿方法的不平衡分销网络的在线电压控制
Online Voltage Control for Unbalanced Distribution Networks Using Projected Newton Method
论文作者
论文摘要
本文提出了一种基于预计的牛顿方法（PNM）的分布式能源资源（DER）的在线电压控制策略，用于不平衡的分销网络。最佳伏特/VAR控件（VVC）问题是作为优化程序提出的，其目的是通过协调DER的VAR输出来维持整个网络的电压曲线。为了克服基于常规梯度的方法的缓慢收敛速率，开发了基于PNM的解决方案算法来解决此VVC问题。它利用从物镜的Hessian矩阵开发的非对角性对称正定矩阵来扩展梯度，因此在这种类似牛顿的算法中可以预期快速收敛性能。此外，利用电压测量的瞬时反馈，基于PNM的VVC的在线实施进一步旨在处理快速系统的变化。在此在线基于PNM的VVC方案中，每个总线代理都将瞬时电压测量传达给中央代理，并且中央代理将DER的VAR输出命令传达给每个总线代理。 PNM的快速收敛性能使实时跟踪系统变化的功能更强。最后，进行数值案例研究以验证所提出方法的有效性，优越性和可伸缩性。
This paper proposes an online voltage control strategy of distributed energy resources (DERs), based on the projected Newton method (PNM), for unbalanced distribution networks. The optimal Volt/VAr control (VVC) problem is formulated as an optimization program, with the goal of maintaining the voltage profile across the network by coordinating the VAr outputs of DERs. To overcome the slow convergence rate of conventional gradient-based methods, a PNM-based solution algorithm is developed to solve this VVC problem. It utilizes a non-diagonal symmetric positive definite matrix, developed from the Hessian matrix of the objective, to scale the gradient, and thus a fast convergence performance can be expected in this Newton-like algorithm. Moreover, taking advantage of the instantaneous feedback of voltage measurements, the online implementation of the PNM-based VVC is further designed to deal with fast system variations. In this online PNM-based VVC scheme, each bus agent communicates the instantaneous voltage measurements to the central agent, and the central agent communicates the VAr output commands of DERs back to each bus agent. The fast convergence performance of PNM results in a stronger capability to track the system variations in real time. Finally, numerical case studies are performed to validate the effectiveness, superiority, and scalability of the proposed method.
