Adaptive robust vulnerability analysis of power systems under uncertainty: A multilevel OPF-based optimization approach

• Proposing a model for power system vulnerability assessment under uncertainty. linear approximation mixed-integer trilevel nonlinear program. Proving lemma which makes our efficient and much easier to solve. Reformulating the original multilevel as single-level MILP model. Solving proposed efficiently using off-the-shelf solvers. With growing level of uncertainties in today’s systems, analysis with uncertain parameters becomes must. This paper proposes two-stage adaptive robust optimization (ARO) systems. The main goal is immunize solutions against all possible realizations modeled In doing so, are defined by some pre-determined intervals around expected values parameters. model, there set first-stage decisions made before uncertainty revealed (attacker decision) second-stage after realization (defender decision). setup formulated program (MITNLP). Then, we recast (MILP), applying strong duality theorem (SDT) appropriate linearization approaches. solvers can guarantee global optimum final We also prove results carried out on IEEE RTS modified Iran’s show performance assess