基于空调负荷温差-功率特性的博弈分层优化调度

Hierarchical Game Optimization Scheduling Based on Temperature Difference and Power Characteristics of Air-conditioning Load

首先,提出了负荷聚合商调度架构,然后对分体式定频空调负荷进行分钟级的优化,得到每小时内空调平均负荷与始末时刻设定的温度差值之间的阶梯函数特性,并对该特性进行线性化,建立了适用于空调小时级调度的温差-功率模型。其次,根据空调温差-功率模型特性,提出了适用性的空调分组方法。接着针对配电区域内存在的多个负荷聚合商,提出了空调负荷聚合商非合作博弈的模型,并针对博弈收益函数中的控制变量离散化的问题,引入连续化的中间变量,建立了博弈的分层优化模型,给出了该博弈的分层优化存在唯一纯策略纳什均衡解的证明及求解方法。最后通过算例仿真验证了所提方法的可行性。

Firstly,this paper proposes a dispatching architecture for load aggregator,and the step function characteristic of the average air-conditioning load and the set temperature difference between beginning moment and end moment in an hour is obtained by optimizing the fixed-frequency air-conditioning load minutely.Then a temperature difference and power model for airconditioning,which is suitable for hourly scheduling,is established by linearizing the feature of the step function above.Secondly,according to the feature of temperature difference and power model for the air-conditioning,the applicability grouping method for air-conditioning is proposed.Then,this paper proposes a non-cooperative game model of air-conditioning load aggregator for the multiple load aggregators in the distribution area,and introduces a continuous intermediate variable for the problem of control variable discretization in the game profit function.A hierarchical optimization model of the game is set up,and the proof and solution method for the Nash equilibrium solution of unique pure strategy for the hierarchical optimization of the game are given.Finally,the feasibility of the proposed method is verified by a case simulation.