Ramos G., Pequito S., Aguiar A.P., Kar S.

2015 European Control Conference, ECC 2015

pp 3542



In this paper, we address the analysis of resilience properties related to electric power grids modeled as a (large) dynamical system. To this end, we introduce the notion of p-robustness as the capability of ensuring the proper functioning of the electric power grids, in the sense of guaranteeing generic controllability of the associated dynamical system, under arbitrary p transmission line failures. Then, we provide conditions under which the electric power grid is p-robust, and an algorithm that determines the minimum number of transmission lines in the electric power grid that is need to add in order to transform a non-robust (0-robust) electric power grid into a 1-robust electric power grid. Further, we discuss how the methodology can be extended to ensure p-robustness with a relatively small number of additional transmission lines. We present an illustrative example of the proposed analysis and methodology using the IEEE 39-bus system, whose dynamical model is described by 127 state variables.