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arXiv 2202.14014eess.SYcs.SYmath.OC
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电压控制中采用数据驱动节点导纳矩阵估计的分布式MPC

Distributed-MPC with Data-Driven Estimation of Bus Admittance Matrix in Voltage Control

Ramij R. Hossain, Ratnesh Kumar

AI总结:

针对实时电压控制中 Y 矩阵未知与集中/分散控制权衡问题,提出结合数据驱动 Y 在线估计和 ADMM 的分布式 MPC,实现全局最优、可扩展且抗故障攻击,并在多个 IEEE 系统验证。

摘要:

本文提出了一种用于电力系统实时电压控制的分布式模型预测控制(MPC)设计,其中包含一种在线估计节点导纳矩阵 $\mathbf{Y}$ 的方法,使其能够随时间变化且无需先验已知。当前主流控制设计要么是(a)集中式,能够提供最优解,但可扩展性较差,并且容易受到单点故障或攻击的影响;要么是(b)分散式或局部化设计,具有更强的可扩展性和攻击弹性,但解是次优的。所提出的分布式解决方案兼具两类方法的优势:相邻节点共享状态信息,从而获得全局最优解。此外,所提出框架通过数据驱动方式估计 Y,以规避获取准确线路阻抗知识(构造 Y 所需)这一难题。我们首先介绍预测电压控制问题的集中式版本,随后将其转化为分布式版本。该分布式版本通过交替方向乘子法(ADMM)求解,仅使用本地测量,并利用电力系统的图结构进行通信。所提框架对预测不确定性、建模误差和通信链路故障具有弹性,且框架内置的冗余性可支持网络攻击中的异常检测。我们在 IEEE-30 节点、IEEE-57 节点输电系统以及 IEEE-123 节点配电系统上验证了所提方法。

英文摘要:

This article presents a distributed model-predictive control (MPC) design for real-time voltage control in power systems, including an online method to estimate the bus admittance matrix $\mathbf{Y}$ to let it be time-varying and unknown a priori. The prevalent control designs are either (a) centralized, providing optimal solutions but less scalable and susceptible to single-point failures/attacks, or (b) decentralized or localized, having increased scalability and attack resilience but are suboptimal. The proposed distributed solution offers the attractive features of both methodologies, where neighboring nodes share state information to attain a globally optimal solution. In addition, the presented framework provides a data-driven estimation of Y to circumvent the challenging issue of acquiring accurate knowledge of the line impedance (required to form Y). We first introduce the centralized version of the predictive voltage control problem and then transfer it to a distributed version. The distributed version is solved via the alternating direction method of multipliers (ADMM), using only local measurements and communication leveraging the graph structure of the power system. The proposed framework is resilient to prediction uncertainty, modeling error, and communication link failure, and the in-built redundancy within the proposed framework supports anomaly detection in cyberattacks. We validate the proposed methodology for IEEE-30 bus, IEEE-57 bus transmission systems, and IEEE-123 bus distribution systems.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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