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A multi-uncertainty-set based two-stage robust optimization to defender–attacker–defender model for power system protection

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  • Ding, Tao
  • Yao, Li
  • Li, Fangxing

Abstract

To handle rapidly growing threats from deliberate attacks, the critical components in power grid should be identified and protected. This paper proposed a defender–attacker–defender model to deal with power grid protection problem, in which the uncertain attacks and load types are considered. Furthermore, multiple uncertainty sets are introduced to characterize the possible realizations of disruptions caused by attackers, and the probabilities of the multiple uncertainty sets are estimated using analytic hierarchy process. Then, the problem is formulated as a multi-uncertainty-set based two-stage robust optimization model which can be termed as a mixed-integer tri-level programming and solved by column-and-constrains generation algorithm with a master-subproblem framework. The test results on a standard IEEE RTS 24-bus system show the effectiveness of the proposed model by considering multiple uncertainty sets and load types.

Suggested Citation

  • Ding, Tao & Yao, Li & Li, Fangxing, 2018. "A multi-uncertainty-set based two-stage robust optimization to defender–attacker–defender model for power system protection," Reliability Engineering and System Safety, Elsevier, vol. 169(C), pages 179-186.
    • Handle: RePEc:eee:reensy:v:169:y:2018:i:c:p:179-186
    DOI: 10.1016/j.ress.2017.08.020
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    References listed on IDEAS

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    Cited by:

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    3. Bellè, Andrea & Abdin, Adam F. & Fang, Yi-Ping & Zeng, Zhiguo & Barros, Anne, 2023. "A resilience-based framework for the optimal coupling of interdependent critical infrastructures," Reliability Engineering and System Safety, Elsevier, vol. 237(C).
    4. Bellè, Andrea & Abdin, Adam F. & Fang, Yi-Ping & Zeng, Zhiguo & Barros, Anne, 2023. "A data-driven distributionally robust approach for the optimal coupling of interdependent critical infrastructures under random failures," European Journal of Operational Research, Elsevier, vol. 309(2), pages 872-889.
    5. Li, Qing & Li, Mingchu & Tian, Yuan & Gan, Jianyuan, 2023. "A risk-averse tri-level stochastic model for locating and recovering facilities against attacks in an uncertain environment," Reliability Engineering and System Safety, Elsevier, vol. 229(C).
    6. Hasanzad, Fardin & Rastegar, Hasan, 2022. "Application of optimal hardening for improving resilience of integrated power and natural gas system in case of earthquake," Reliability Engineering and System Safety, Elsevier, vol. 223(C).
    7. Li, Qing & Li, Mingchu & Zhang, Runfa & Gan, Jianyuan, 2021. "A stochastic bilevel model for facility location-protection problem with the most likely interdiction strategy," Reliability Engineering and System Safety, Elsevier, vol. 216(C).
    8. Lai, Kexing & Illindala, Mahesh & Subramaniam, Karthikeyan, 2019. "A tri-level optimization model to mitigate coordinated attacks on electric power systems in a cyber-physical environment," Applied Energy, Elsevier, vol. 235(C), pages 204-218.
    9. Minhui Qian & Ning Chen & Yuge Chen & Changming Chen & Weiqiang Qiu & Dawei Zhao & Zhenzhi Lin, 2021. "Optimal Coordinated Dispatching Strategy of Multi-Sources Power System with Wind, Hydro and Thermal Power Based on CVaR in Typhoon Environment," Energies, MDPI, vol. 14(13), pages 1-35, June.
    10. Omid Sadeghian & Behnam Mohammadi-Ivatloo & Fazel Mohammadi & Zulkurnain Abdul-Malek, 2022. "Protecting Power Transmission Systems against Intelligent Physical Attacks: A Critical Systematic Review," Sustainability, MDPI, vol. 14(19), pages 1-24, September.

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