Generalized Contingency Analysis Based on Graph Theory and Line Outage Distribution Factor

Identifying the multiple critical components in power systems whose absence together has severe impact on system performance is a crucial problem for known as $(N-x)$ contingency analysis. However, inherent combinatorial feature of notation="LaTeX">$N-x$ analysis incurs by increase notation="LaTeX">$x$ term, making intractable even relatively small test systems. We present new framework identifying contingencies that captures both topology and physics network. Graph theory provides many ways to measure grid graphs, i.e., buses nodes lines edges, allowing researchers characterize structure optimize algorithms. This article proposes scalable approach based group betweenness centrality concept measures electric well line outage distribution factors find loss highest flow The proposed quick efficient solution most networks. validated using various cases, results show able quickly identify result violations.