AUTHOR=Mei Wenwen , Sun Zhiyuan , He Yuanjian , Liu Mosi , Gong Xianfu , Li Peijie 

TITLE=A mixed integer linear programming model for minimum backbone grid

JOURNAL=Frontiers in Energy Research

VOLUME=Volume 10 - 2022

YEAR=2023

URL=https://www.frontiersin.org/journals/energy-research/articles/10.3389/fenrg.2022.1004861

DOI=10.3389/fenrg.2022.1004861

ISSN=2296-598X

ABSTRACT=The power system was damaged by extreme weather more and more frequently in the past few years. To improve the power system’s resilience, a mixed integer linear programming (MILP) model with network connectivity constraints for a minimum backbone grid is proposed. In the model, some constraints are presented to consider the practical application requirements. Especially, to avoid islands in the minimum backbone grid, a set of linear constraints based on single-commodity flow formulations is proposed to ensure connectivity of the backbone grid. The simulations on the IEEE-39 bus system and the French 1888 bus system verify the validity of the proposed model. They further show that the proposed model can be solved with high computational efficiency.