综合负荷聚合商参与的配电—气能源系统供需互动均衡模型

在综合能源系统背景下，提出一种基于主从博弈机制的配电—气能源系统与多个综合负荷聚合商的互动均衡模型。考虑次日能源价格的制定，配电—气系统以总利润最大化为目标求解日前最优能流。在价格机制作用下，综合负荷聚合商通过优化能源配置降低自身能源购置成本，从而实现配电—气系统与综合负荷聚合商的互利共赢。为求取主从博弈均衡解，采用二阶锥松弛(SOCP)和罚凸凹过程(PCCP)消除配电—气系统优化模型中的非凸源，并应用KKT条件和强对偶理论将原模型转化为单层凸优化模型。由此通过迭代求解混合整数二阶锥规划问题逐渐缩紧配气网管道气流松弛域，最终获得博弈均衡解。最后，以IEEE 33节点配电网和20节点配气网构成的系统为例进行仿真说明，所得结果验证了文中模型及方法的有效性。

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.