Contingency Analysis of Power Networks : A System Theoretic Approach

In this work, we have proposed a system theoretic method to compute sensitivities of different lines for $N-k$ contingency analysis in power network. We have formulated the $N-k$ contingency analysis as the stability problem of power network with uncertain links. We have derived a necessary condition for stochastic stability of the power network with the link uncertainty. The necessary condition is then used to rank order the contingencies. We have shown due to interaction between different uncertainties the ranking can substantially change. The state of the art $N-k$ contingency analysis does not consider the possibility of interference between link uncertainties and rank the links according to the severity of $N-1$ contingencies. We have presented simulation results for New England $39$ bus system as a support of our claim.