Regional Pole Placers of Power Systems under Random Failures/Repair Markov Jumps

Farag Ali El-Sheikhi, Hisham M. Soliman, Razzaqul Ahshan and Eklas Hossain
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Farag Ali El-Sheikhi: Department of Electrical and Electronics Engineering, Istanbul Esenyurt University, 34517 Esenyurt, Istanbul, Turkey
Hisham M. Soliman: Department of Electrical & Computer Engineering, College of Engineering, Sultan Qaboos University, Al-Khoud, Muscat 123, Oman
Razzaqul Ahshan: Department of Electrical & Computer Engineering, College of Engineering, Sultan Qaboos University, Al-Khoud, Muscat 123, Oman
Eklas Hossain: Department of Electrical Engineering and Renewable Energy, Oregon Institute of Technology, Klamath Falls, OR 97601, USA

Energies, 2021, vol. 14, issue 7, 1-14

Abstract: This paper deals with a discrete-time stochastic control model design for random failure prone and maintenance in a single machine infinite bus (SMIB) system. This model includes the practical values of failure/repair rate of transmission lines and transformers. The probability matrix is, therefore, calculated accordingly. The model considers two extreme modes of operations: the most reliable mode and the least reliable contingency case. This allows the control design which stochastically stabilizes the system under jump Markov disturbances. For adequate transient response, the proposed state feedback power system stabilizer (PSS) achieves a desired settling time and damping ratio by placing the closed-loop poles in a desired region. The control target should also be satisfied for load variations in either mode of operation. A sufficient condition is developed to achieve the control objectives via solving a set of linear matrix inequalities (LMI). Using simulation, the performance of the designed controller is tested for the system that prone to random failure/maintenance under various loading conditions. Simulation results reveal that the closed-loop poles reside within the desired region satisfying the required settling time and damping ratio under the aforementioned disturbances. The contributions of the paper are summarized as follows: (1) modeling of transition probability matrix under Markov Jumps using practical data, (2) designing a controller by compelling the closed poles into the desired region to achieve adequate dynamic performance under different load varying conditions.

Keywords: power system reliability; markov reliability model; robust pole placement; power system stabilizer; robust stochastic stability (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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