Review on Set-Theoretic Methods for Safety Verification and Control of Power System
Abstract
Increasing penetration of renewable energy introduces significant uncertainty into power systems. Traditional simulation-based verification methods may not be applicable due to the unknown-but-bounded feature of the uncertainty sets. Emerging set-theoretic methods have been intensively investigated to tackle this challenge. The paper comprehensively reviews these methods categorized by underlying mathematical principles, that is, set operation-based methods and passivity-based methods. Set operation-based methods are more computationally efficient, while passivity-based methods provide semi-analytical expression of reachable sets, which can be readily employed for control. Other features between different methods are also discussed and illustrated by numerical examples. A benchmark example is presented and solved by different methods to verify consistency.
Keywords
Cite
@article{arxiv.2001.00080,
title = {Review on Set-Theoretic Methods for Safety Verification and Control of Power System},
author = {Yichen Zhang and Yan Li and Kevin Tomsovic and Seddik Djouadi and Meng Yue},
journal= {arXiv preprint arXiv:2001.00080},
year = {2020}
}