Review on set-theoretic methods for safety verification and control of power system

Yichen Zhang, Yan Li, Kevin Tomsovic, Seddik M. Djouadi, Meng Yue

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)207-214
Number of pages8
JournalIET Energy Systems Integration
Issue number3
StatePublished - Sep 1 2020

All Science Journal Classification (ASJC) codes

  • Engineering (miscellaneous)
  • Energy Engineering and Power Technology
  • Environmental Engineering
  • Renewable Energy, Sustainability and the Environment


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