We develop upper bounds for line failure probabilities in power grids, under the DC approximation and assuming Gaussian noise for the power injections. Our upper bounds are explicit, and lead to characterization of safe operational capacity regions that are convex and polyhedral, making our tools compatible with existing planning methods. Our probabilistic bounds are derived through the use of powerful concentration inequalities.

Additional Metadata
Keywords Upper bound, Random variables, Covariance matrices, Power grids, Planning, Stochastic processes, Power transmission lines
Persistent URL dx.doi.org/10.1109/PESGM.2017.8274716
Conference IEEE Power & Energy Society General Meeting
Citation
Nesti, T, Zocca, A, & Zwart, A.P. (2018). Line failure probability bounds for power grids. In IEEE Power and Energy Society General Meeting (pp. 1–5). doi:10.1109/PESGM.2017.8274716