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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Farag Ali El-Sheikhi & Hisham M. Soliman & Razzaqul Ahshan & Eklas Hossain, 2021. "Regional Pole Placers of Power Systems under Random Failures/Repair Markov Jumps," Energies, MDPI, vol. 14(7), pages 1-14, April.
    • Handle: RePEc:gam:jeners:v:14:y:2021:i:7:p:1989-:d:529684
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    References listed on IDEAS

    as
    1. Wenping Hu & Jifeng Liang & Yitao Jin & Fuzhang Wu, 2018. "Model of Power System Stabilizer Adapting to Multi-Operating Conditions of Local Power Grid and Parameter Tuning," Sustainability, MDPI, vol. 10(6), pages 1-18, June.
    2. Lisnianski, Anatoly & Elmakias, David & Laredo, David & Ben Haim, Hanoch, 2012. "A multi-state Markov model for a short-term reliability analysis of a power generating unit," Reliability Engineering and System Safety, Elsevier, vol. 98(1), pages 1-6.
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    Cited by:

    1. Mourad Kchaou & Houssem Jerbi & Dan Stefanoiu & Dumitru Popescu, 2022. "Quantized Fault-Tolerant Control for Descriptor Systems with Intermittent Actuator Faults, Randomly Occurring Sensor Non-Linearity, and Missing Data," Mathematics, MDPI, vol. 10(11), pages 1-20, May.
    2. Hisham M. Soliman & Farag A. El-Sheikhi & Ehab H. E. Bayoumi & Michele De Santis, 2022. "Ellipsoidal Design of Robust Stabilization for Markov Jump Power Systems under Normal and Contingency Conditions," Energies, MDPI, vol. 15(19), pages 1-16, October.
    3. Alexander Poznyak & Hussain Alazki & Hisham M. Soliman & Razzaqul Ahshan, 2022. "Ellipsoidal Design of Robust Stabilization of Power Systems Exposed to a Cycle of Lightning Surges Modeled by Continuous-Time Markov Jumps," Energies, MDPI, vol. 16(1), pages 1-16, December.

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