Robust Optimization for Microgrid Defense Resource Planning and Allocation Against Multi-Period Attacks

This paper investigates a microgrid defense resource planning and allocation problem with the consideration of multi-period attacks. The defensive transmission lines and distributed generators (DGs) are, respectively, planned and allocated to mitigate the multi-period attack damage on transmission lines and minimize the shed loads for microgrid, based on a multi-period defender-attacker-defender model. Robust optimization technique is utilized for the problem formulation, resulting in a two-stage decision process: in the first stage, the defender proposes defensive line plan and DG allocation scheme for the purpose of minimizing the attacker's damage; and in the second stage, the attacker disrupts the transmission lines of microgrid system aiming at the maximum damage by the multi-period attacks, then the defender reacts to optimize the power flow on the remaining microgrid system to minimize the shed loads. Solution process is developed based on the customized column-and-constraint generation algorithm. The effectiveness and superiority of the proposed model and algorithm are validated with numerical experiments. In addition, sensitivity analysis is also carried out with various parameters and settings.