Load Restoration Strategy for Bulk Power Systems Considering Worst Contingencies

The load restoration scheme of bulk power systems suffering outages faces significant challenges due to the aftermath of natural disasters. The probability of transmission lines tripping again in the load restoration process after disasters is notably higher than that under normal operating conditions. This aspect, however, has not been thoroughly explored in existing research. This paper proposes a load restoration strategy for bulk power systems considering worst-case contingencies. The proposed strategy comprises a master problem and a bi-level based subproblem. In the master problem, a load restoration model is introduced to minimize outage losses based on the worst contingencies identified by the subproblem. The subproblem is modeled as a bi-level second-order cone programming (SOCP) model and its objective is to minimize load shedding costs to identify the worst contingency. By using duality theory, we reformulate the bi-level model into a single-level one, rendering the subproblem solvable. The IEEE 30-bus system is employed to verify the effectiveness of the developed models and strategy.