论文标题

电力系统中基于共识的设定理论控制

Consensus-Based Set-Theoretic Control in Power Systems

论文作者

Tabas, Daniel, Zhang, Baosen

论文摘要

SET理论控制是一种有用的技术,用于处理可再生能源引入到电力系统中的不确定性。尽管设置操作在大型系统中的计算价格昂贵,但分布式方法是一种补救措施。在本文中,我们提出了一种基于共识的新方法,用于电源系统中的设置理论频率控制。通过为网络中的每个总线组成RCI来生成系统的强大控制不变集(RCI)。生成这些集合的过程采用基于共识的方法,以促进发现相互兼容的子系统RCI。每辆公共汽车都试图最大程度地提高其自身RCI的大小,同时将耦合的影响视为一种未知但结合的干扰。展示线性收敛性的共识例程被嵌入到初始安全集的向后触及性分析中。一个9-BUS测试案例的结果表明,当系统在净需求中发生最坏情况(对抗性)波动时,与结果的简单模型预测控制器保持安全操作,而传统控制器显示出传统的控制器失败。

Set-theoretic control is a useful technique for dealing with the uncertainty introduced into power systems by renewable energy resources. Although set operations are computationally expensive in large systems, distributed approaches serve as a remedy. In this paper, we propose a novel consensus-based approach for set-theoretic frequency control in power systems. A robust controlled-invariant set (RCI) for the system is generated by composing RCIs for each bus in the network. The process of generating these sets uses a consensus-based approach in order to facilitate discovery of mutually compatible subsystem RCIs. Each bus seeks to maximize the size of its own RCI while treating the effects of coupling as an unknown-but-bounded disturbance. The consensus routine, which demonstrates linear convergence, is embedded into a backwards reachability analysis of initial safe sets. Results for a 9-bus test case show that simple model predictive controllers associated with the resulting RCIs maintain safe operation when the system is subjected to worst case (adversarial) fluctuations in net demand, where conventional controllers are shown to fail.

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