智能住宅小区的需求响应主从博弈模型
Leader-follower Game Model for Demand Response in Smart Residential Grid
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摘要: 针对含有多个售电商的智能住宅小区,建立了售电商和用户之间的主从博弈模型。在该模型中,用户间的电力消费行为用含有个人隐私的演化博弈模型进行模拟,售电商之间的价格竞争通过非合作博弈模型进行模拟。同时证明了该博弈模型均衡解的存在性并设计算法进行求解。数值结果表明所提出的算法能够快速收敛且具有可扩展性,同时售电商和小区用户之间基于价格的需求响应行为有利于实现电力供需平衡,从而维持智能小区电力系统安全运行。Abstract: A leader-follower game between power retailers and residential users is established to study the demand response problem in residential grid with multiple retailers.In this model,the price competition among power retailers is formulated as a non-cooperative game,while the power coordinate among the residential users is formulated as an evolutionary game considering the private information of power retailers and residential users.The existence of leader-follower game equilibrium is proved and the algorithm is designed to implement the convergence of equilibrium and obtain the equilibrium solution.Numerical results show that the proposed algorithm can fast convergence and has the extendibility.On the other hand,the demand response behaviors based on price between power retailers and residential users are helpful to realize power supply and demand balance,so as to maintain the safe operation of the power systems.