Robust stabilisation of power systems with random abrupt changes

Hisham Soliman, Muhammad Shafiq*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)


This study considers the stabilisation of power systems subject to random jumps. Transient, permanent faults of power lines, and the consequent switching of the associated circuit breakers are represented as a discrete-time Markov chain. The controller is designed for Markov jump linear systems based on transition probabilities obtained from statistical data of the faults. The linear matrix inequalities framework is used as a tool for designing the proposed controller. The controller provides desired performance swiftness via regional pole placement with the constraint of system load variations and random variations in the topology. The effectiveness of the power system stabiliser is studied on a single-machine infinite-bus and multi-machine systems.

Original languageEnglish
Pages (from-to)2159-2166
Number of pages8
JournalIET Generation, Transmission and Distribution
Issue number15
Publication statusPublished - Nov 19 2015

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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