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Multi-period vulnerability analysis of power grids under multiple outages: An AC-based bilevel optimization approach

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  • Abedi, Amin
  • Romerio, Franco

Abstract

This paper describes a methodology for the N-k contingency analysis of bulk power systems. The method encompasses the evaluation of contingencies’ effects on the power system over a range of system demand levels. The proposed model is inherently a multi-period bilevel optimization problem. Unlike the conventional bilevel optimization problems for the N-k contingency analysis, the proposed model considers the effects of reactive power dispatch, losses, and voltage profile. In doing so, the problem is formulated as a multi-period AC-based bilevel mixed-integer nonlinear programming (MINLP) problem. To guarantee the global optimality of the solution, this paper linearizes and then transforms it into a one-level mixed-integer linear programming (MILP) problem using different linearization techniques and the duality theory. The simulation results on the annual load profile of the IEEE Reliability Test System (RTS) verify the effectiveness of the proposed model.

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  • Abedi, Amin & Romerio, Franco, 2020. "Multi-period vulnerability analysis of power grids under multiple outages: An AC-based bilevel optimization approach," International Journal of Critical Infrastructure Protection, Elsevier, vol. 30(C).
    • Handle: RePEc:eee:ijocip:v:30:y:2020:i:c:s1874548220300299
    DOI: 10.1016/j.ijcip.2020.100365
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    References listed on IDEAS

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    1. Ferrario, E. & Pedroni, N. & Zio, E., 2016. "Evaluation of the robustness of critical infrastructures by Hierarchical Graph representation, clustering and Monte Carlo simulation," Reliability Engineering and System Safety, Elsevier, vol. 155(C), pages 78-96.
    2. Abedi, Amin & Gaudard, Ludovic & Romerio, Franco, 2020. "Power flow-based approaches to assess vulnerability, reliability, and contingency of the power systems: The benefits and limitations," Reliability Engineering and System Safety, Elsevier, vol. 201(C).
    3. Fang, Yi-Ping & Zio, Enrico, 2019. "An adaptive robust framework for the optimization of the resilience of interdependent infrastructures under natural hazards," European Journal of Operational Research, Elsevier, vol. 276(3), pages 1119-1136.
    4. Marrone, Stefano & Nardone, Roberto & Tedesco, Annarita & D'Amore, Pasquale & Vittorini, Valeria & Setola, Roberto & De Cillis, Francesca & Mazzocca, Nicola, 2013. "Vulnerability modeling and analysis for critical infrastructure protection applications," International Journal of Critical Infrastructure Protection, Elsevier, vol. 6(3), pages 217-227.
    5. Yi‐Ping Fang & Giovanni Sansavini & Enrico Zio, 2019. "An Optimization‐Based Framework for the Identification of Vulnerabilities in Electric Power Grids Exposed to Natural Hazards," Risk Analysis, John Wiley & Sons, vol. 39(9), pages 1949-1969, September.
    6. Abedi, Amin & Gaudard, Ludovic & Romerio, Franco, 2019. "Review of major approaches to analyze vulnerability in power system," Reliability Engineering and System Safety, Elsevier, vol. 183(C), pages 153-172.
    7. Anne Veen & Christiaan Logtmeijer, 2005. "Economic Hotspots: Visualizing Vulnerability to Flooding," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 36(1), pages 65-80, September.
    8. Karimi, Soheila & Musilek, Petr & Knight, Andrew M., 2018. "Dynamic thermal rating of transmission lines: A review," Renewable and Sustainable Energy Reviews, Elsevier, vol. 91(C), pages 600-612.
    9. Gerald Brown & Matthew Carlyle & Javier Salmerón & Kevin Wood, 2006. "Defending Critical Infrastructure," Interfaces, INFORMS, vol. 36(6), pages 530-544, December.
    10. Lucas Cuadra & Sancho Salcedo-Sanz & Javier Del Ser & Silvia Jiménez-Fernández & Zong Woo Geem, 2015. "A Critical Review of Robustness in Power Grids Using Complex Networks Concepts," Energies, MDPI, vol. 8(9), pages 1-55, August.
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    Cited by:

    1. Beyza, Jesus & Yusta, Jose M., 2021. "The effects of the high penetration of renewable energies on the reliability and vulnerability of interconnected electric power systems," Reliability Engineering and System Safety, Elsevier, vol. 215(C).

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