Open AccessReview on set‐theoretic methods for safety verification and control of power system
Author(s) -
Zhang Yichen,
Li Yan,
Tomsovic Kevin,
Djouadi Seddik M.,
Yue Meng
Publication year - 2020
Publication title -
iet energy systems integration
Language(s) - English
Resource type - Journals
ISSN - 2516-8401
DOI - 10.1049/iet-esi.2019.0133
Subject(s) - computer science , consistency (knowledge bases) , benchmark (surveying) , passivity , set (abstract data type) , electric power system , bounded function , mathematical optimization , power (physics) , mathematics , artificial intelligence , engineering , programming language , mathematical analysis , physics , geodesy , quantum mechanics , electrical engineering , geography
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 study comprehensively reviews these methods categorised by underlying mathematical principles, i.e. set operation‐based methods and passivity‐based methods. Set operation‐based methods are more computationally efficient, while passivity‐based methods provide a 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.