Node-based valid inequalities for the optimal transmission switching problem

The benefits of transmission line switching are well-known in terms reducing operational cost and improving system reliability power systems. However, finding the optimal network configuration is a challenging task due to combinatorial nature underlying optimization problem. In this work, we identify certain "node-based" set that appears as substructure problem then conduct polyhedral study set. We construct an extended formulation integer hull present inequality description original space some cases. These inequalities can be used cutting-planes for Finally, results our computational experiments using these on difficult test cases from literature.