Multi-stage contingency-constrained co-planning for electricity-gas systems interconnected with gas-fired units and power-to-gas plants using iterative Benders decomposition

The increasing share of variable renewable energy sources and the improving requirements on system security and reliability are calling for important changes in the integrated energy systems. Hence this paper proposes a multi-stage contingency-constrained co-planning model for electricity-gas systems interconnected with gas-fired units and power-to-gas plants considering the uncertainties of load demand and wind power. The proposed model considers the long-term co-planning for electricity-gas systems with the short-term operation constraints and N-1 reliability criterion, which is formulated as a mixed-integer linear programming problem. First, a scenario reduction method based on affinity propagation clustering is utilized to handle the uncertainties. Afterwards, the N-1 criterion is tackled by a contingency screening method based on line outage distribution factors. Finally, an iterative Benders decomposition method is developed to divide the programming problem into one master investment problem and three subproblems. The iterative process will continue between master problem and each subproblem until an economic, reliable and fuel-supply feasible solution is obtained. In order to verify the feasibility of the proposed model and the effectiveness of the proposed method, case studies are conducted on two different scales of electricity-gas systems.