Minimax-Regret Robust Co-Optimization for Enhancing the Resilience of Integrated Power Distribution and Natural Gas Systems

Natural gas system that supplies flexible and distributed energy resources can play a significant role in enhancing the resilience of the power distribution system. In this paper, a minimax-regret robust resilience-constrained unit commitment model is proposed for enhancing the resilience of the integrated power distribution and natural gas system (IDGS). First, a tri-level robust cooperation optimization problem is formulated based on the minimax-regret robust criterion to enhance the distribution system resilience against worst N-k contingencies. The multi-stage extreme weather model is considered to obtain the spatial dynamics of extreme weather. Then, the proposed robust model is reformulated as a mixed-integer convex programming model by relaxing nonconvex power and natural gas flow equations into second-order conic (SOC) constraints. The SOC-based column-and-constraint generation algorithm is employed to solve the proposed two-stage robust optimization problem. The effectiveness of proposed robust optimization model is validated using several case studies applied to the 33-bus-6-node and 123-bus-20-node IDGSs.