Vulnerability Analysis of the Electric Power Grid Ali Pinar Lawrence Berkeley National Laboratory Robust operation of a power grid requires anticipating likely events that can lead to costly blackouts. The Northeast blackout of August 2003 for instance, started with only three broken power lines. Detecting vulnerabilities of the power system requires solving combinatorial optimization problems constrained by nonlinear power flow equations. In this talk, I will first present a mixed integer nonlinear programming (MINLP) formulation of the vulnerability analysis problem, and provide an analysis of the structure of an optimal solution for this problem. I will use this analysis to approximate the original MINLP formulation with pure combinatorial problems, namely the network inhibition problem and the inhibiting bisection problem. Brief Biography: Ali Pinar is a member of the High Performance Computing Research Department at Lawrence Berkeley National Laboratory. His research is on combinatorial problems arising in algorithms and applications of scientific computing, with emphasis on parallel algorithms, communication libraries, sparse matrix computations, electric power systems, and data analysis. He received his PhD. degree in computer science from University of Illinois at Urbana-Champaign, with the option of computational science and engineering, and his B.S. and M.S. degrees in Computer Engineering from Bilkent University, Turkey.