Stability of Dynamic Feedback optimization with Applications to Power Systems

Sandeep Menta, Adrian Hauswirth, S. Bolognani, G. Hug, F. Dörfler
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引用次数: 40

Abstract

We consider the problem of optimizing the steady state of a dynamical system in closed loop. Conventionally, the design of feedback optimization control laws assumes that the system is stationary. However, in reality, the dynamics of the (slow) iterative optimization routines can interfere with the (fast) system dynamics. We provide a study of the stability and convergence of these feedback optimization setups in closed loop with the underlying plant, via a custom-tailored singular perturbation analysis result. Our study is particularly geared towards applications in power systems and the question whether recently developed online optimization schemes can be deployed without jeopardizing dynamic system stability.
动态反馈优化稳定性及其在电力系统中的应用
研究了动态系统在闭环状态下的稳态优化问题。通常,反馈优化控制律的设计都假定系统是平稳的。然而,在现实中,(慢)迭代优化例程的动力学会干扰(快)系统动力学。通过定制的奇异摄动分析结果,我们提供了这些反馈优化设置与底层植物在闭环中的稳定性和收敛性的研究。我们的研究特别针对电力系统的应用,以及最近开发的在线优化方案是否可以在不危及动态系统稳定性的情况下部署的问题。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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