A MILP-based Restoration Planning Method for Generator Start-up Considering Flexible Re-energizing Times of Transmission Lines

During power system restoration, the planning of the generator start-up sequence (GSUS) can significantly affect the restoration efficiency. However, a GSUS optimization model based on mixed integer linear programming (MILP) cannot satisfy the need for flexible re-energizing times of transmission liens and the serial restoration of generators. To solve this issue, a new MILP-based GSUS optimization model is proposed in this paper that can generate a serial GSUS scheme with flexible re-energizing times of transmission lines. The requirements of flexible re-energizing times of transmission lines and the serial restoration of the generators are formulated as restoration time constraints for the transmission lines, start-up time constraints for the buses on the restoration paths, and a serial restoration constraint, which are transformed into mixed integer linear constraints by means of auxiliary binary (0-1) decision variables. Meanwhile, the restart time constraints of the generators and the transient frequency requirements are modeled as mixed integer linear constraints. Finally, the performance of the proposed method is verified on the IEEE 39-bus system.