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Quantifying the robustness of power networks against initial failure
Y. Zhang, J. Cortés
Proceedings of the European Control Conference, Aalborg, Denmark, 2016, pp. 2072-2077

Abstract

This paper proposes a notion of robustness metric for a power network in terms of the minimal power disturbance required to cause an initial failure. We allow multiple disturbances to act upon different load-side nodes. We formulate the computation of the robustness metric in terms of various equivalent optimization problems with affine inequality constraints. To obtain these results, our analysis identifies a polyhedral cone determined by the topology of the power network whose extreme rays determine the affine inequality constraints. We employ the Double Description method to calculate these extreme rays and discuss how to properly initialize it. Simulations on an IEEE 9-bus power network illustrate our results.

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