Robust stabilisation of power systems with random abrupt changes

• Published in: IET generation, transmission & distribution Vol. 9; no. 15; pp. 2159 - 2166
• Main Authors: Soliman, Hisham, Shafiq, Muhammad
• Format: Journal Article
• Language: English
• Published: The Institution of Engineering and Technology 19.11.2015
• Subjects: associated circuit breaker; circuit breakers; consequent switching; Controllers; discrete‐time Markov chain; fault diagnosis; Faults; linear matrix inequalities; Linear systems; Markov jump linear system; Markov processes; multimachine systems; permanent fault diagnosis; pole assignment; Pole placement; power cables; Power lines; power system stability; probability; random abrupt changes; random jump; random processes; random variations; regional pole placement; robust control; robust power system stabilisation; single machine infinite bus systems; statistical data; Switching; system load variations; Transition probabilities; transition probability; fault diagnosis; random variations; robust power system stabilisation; Markov jump linear system; permanent fault diagnosis; linear matrix inequalities; power cables; robust control; circuit breakers; system load variations; power system stability; transition probability; probability; regional pole placement; random processes; associated circuit breaker; multimachine systems; random abrupt changes; pole assignment; statistical data; power lines; Markov processes; single machine infinite bus systems; random jump; consequent switching; discrete-time Markov chain
• ISSN: 1751-8687; 1751-8695
• DOI: 10.1049/iet-gtd.2014.1111

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.