Abstract

A robust defensive strategy for active distribution networks considering multi-uncertainties and island restoration is studied. Firstly, the authors take triple uncertainties into consideration, that is, the attack strategy, the amount of wind power generation and solar irradiation. Next, a trilevel defender-attacker-defender (DAD) two-stage robust mathematical model is established to make full use of the energy storage support capacity and reduce the load shedding. The first stage is to pre-allocate defensive resources, and the second stage is to dispatch emergent defensive resources in the worst scenario to minimize the load shedding. Using column and constraint generation (C&CG) algorithm to solve the model, the original problem is converted into the min main problem and max-min sub-problem. The non-convexity of the sub-problem is relaxed by using the second order cone programming (SOCP) model, and converted to the max problem according to the strong duality theory. Solving the model with returned cuttings iteratively. The simulation results show that the proposed method is effective and the defensive strategy can adapt to multi-uncertainties.

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