Carnegie Mellon University
Zhang-Yagan_Scientific Reports_06-2016.pdf (919.87 kB)

Optimizing the robustness of electrical power systems against cascading failures

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journal contribution
posted on 2016-06-21, 00:00 authored by Yingrui Zhang, Osman YaganOsman Yagan
Electrical power systems are one of the most important infrastructures that support our society. However, their vulnerabilities have raised great concern recently due to several large-scale blackouts around the world. In this paper, we investigate the robustness of power systems against cascading failures initiated by a random attack. This is done under a simple yet useful model based on global and equal redistribution of load upon failures. We provide a comprehensive understanding of system robustness under this model by (i) deriving an expression for the final system size as a function of the size of initial attacks; (ii) deriving the critical attack size after which system breaks down completely; (iii) showing that complete system breakdown takes place through a first-order (i.e., discontinuous) transition in terms of the attack size; and (iv) establishing the optimal load-capacity distribution that maximizes robustness. In particular, we show that robustness is maximized when the difference between the capacity and initial load is the same for all lines; i.e., when all lines have the same redundant space regardless of their initial load. This is in contrast with the intuitive and commonly used setting where capacity of a line is a fixed factor of its initial load.


National Science Foundation CCF #1422165; Carnegie Mellon University Department of Electrical and Computer Engineering, CMU Article Processing Charge Fund, Yağan also acknowledges the Berkman Faculty Development Grant from CMU.


Publisher Statement

This is the Published PDF version of, "Zhang, Y., Yagan, O. (2016). Optimizing the robustness of electrical power systems against cascading failures. Scientific Reports. 6. doi:10.1038/srep27625."



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