Interactive Equilibrium Supply and Demand Model for Electricity-Gas Energy Distribution System with Participation of Integrated Load Aggregators

In the context of integrated energy distribution system, this paper proposes an interactive equilibrium model for electricity-gas energy distribution system and integrated load aggregators based on Stackelberg game. Considering the formulation of energy prices in the next day, the electricity-gas distribution system can solve the day-ahead optimal energy flow with the objective of maximizing its total profit. With the price mechanism, integrated load aggregators optimize the energy allocations independently based on the research of demand response in order to minimize the charging costs. In addition, the second-order cone programming (SOCP) and penalty convex-concave procedure (PCCP) are used to deal with the non-convex functions of electricity-gas distribution system. The Stackelberg game model is transformed into a single layer optimization problem by jointly using the Karush-Kuhn-Tucker (KKT) optimality condition as well as the duality theorem of linear programming. Therefore, the global optimal interaction equilibrium solution is obtained by solving a mixed integer second-order cone programming. Finally, the calculation example with the IEEE 33-node distribution network and 20-node gas distribution network verifies the effectiveness of the proposed model and method. © 2019 Automation of Electric Power Systems Press.