Assessing the Vulnerability of Power Systems Using Multilevel Programming: A Literature Review

Keywords: interdiction problem, multilevel optimization, power system vulnerability, power system resilience, power system optimization


Vulnerability studies can identify critical elements in electric power systems in order to take protective measures against possible scenarios that may result in load shedding, which can be caused by natural events or deliberate attacks. This article is a literature review on the latter kind, i.e., the interdiction problem, which assumes there is a disruptive agent whose objective is to maximize the damage to the system, while the network operator acts as a defensive agent. The non-simultaneous interaction of these two agents creates a multilevel optimization problem, and the literature has reported several interdiction models and solution methods to address it. The main contribution of this paper is presenting the considerations that should be taken into account to analyze, model, and solve the interdiction problem, including the most common solution techniques, applied methodologies, and future studies. This literature review found that most research in this area is focused on the analysis of transmission systems considering linear approximations of the network, and a few interdiction studies use an AC model of the network or directly treat distribution networks from a multilevel standpoint. Future challenges in this field include modeling and incorporating new defense options for the network operator, such as distributed generation, demand response, and the topological reconfiguration of the system.f the system.

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  • Author Biographies

    Juan Pablo Hernandez Valencia, Instituto Tecnológico Metropolitano

    Electric Power T&D Specialist, MSc Student in Industrial Energy Management, Instituto Tecnológico
    Metropolitano, Calle 54A N° 30-01, Medellín, Colombia

    Jesus Maria Lopez-Lezama, Universidad de Antioquia

    Ph.D in Electrical Engineering, Professor of the Electrical Engineering Department, Universidad de Antioquia,
    Calle 67 N° 53-108, Medellín, Colombia

    Bonie Johana Restrepo Cuestas, Instituto Tecnológico Metropolitano

    MSc in Electrical Engineer, Electronics and Telecommunications Department Lecturer, Instituto Tecnológico
    Metropolitano, Calle 54A N° 30-01, Medellín, Colombia.

How to Cite
Hernandez Valencia, J. P., Lopez-Lezama, J. M., & Restrepo Cuestas, B. J. (2021). Assessing the Vulnerability of Power Systems Using Multilevel Programming: A Literature Review. Revista Ingenierías Universidad De Medellín, 20(38), 99-117.


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