Direct methods can provide rapid screening of the dynamical security of large numbers fault and contingency scenarios by avoiding extensive time simulation. We introduce a computationally-efficient direct method based on optimization that leverages efficient cutting plane techniques. The method considers both unstable equilibrium points and the effects of additional relay tripping on dynamical security\cite{01SH}. Similar to other direct methods, our approach yields conservative results for dynamical security, however, the optimization formulation potentially lends itself to the inclusion of additional constraints to reduce this conservatism.
@article{arxiv.1409.4451,
title = {Efficient Synchronization Stability Metrics for Fault Clearing},
author = {Scott Backhaus and Russell Bent and Daniel Bienstock and Michael Chertkov and Dvijotham Krishnamurthy},
journal= {arXiv preprint arXiv:1409.4451},
year = {2014}
}