文章摘要
陈玥,魏韡,刘锋,等.基于CES型效用函数的热—电市场消费者最优决策[J].电力系统自动化,2018,42(13):118-126. DOI: 10.7500/AEPS20171225004.
CHEN Yue,WEI Wei,LIU Feng, et al.CES Utility Function Based Consumer Optimal Decision Making in Heat-Power Market[J].Automation of Electric Power Systems,2018,42(13):118-126. DOI: 10.7500/AEPS20171225004.
基于CES型效用函数的热—电市场消费者最优决策
CES Utility Function Based Consumer Optimal Decision Making in Heat-Power Market
DOI:10.7500/AEPS20171225004
关键词: 热电耦合  边际价格  消费者决策  常数替代弹性效用函数  Stackelberg-Nash均衡
KeyWords: heat-power coupling  marginal price  consumer decision making  constant elasticity of substitution utility function  Stackelberg-Nash equilibrium
上网日期:2018-05-30
基金项目:国家自然科学基金资助项目(51621065)
作者单位E-mail
陈玥 清华大学电机工程与应用电子技术系, 北京市 100084
电力系统及发电设备控制和仿真国家重点实验室, 清华大学, 北京市 100084 
 
魏韡 清华大学电机工程与应用电子技术系, 北京市 100084
电力系统及发电设备控制和仿真国家重点实验室, 清华大学, 北京市 100084 
 
刘锋 清华大学电机工程与应用电子技术系, 北京市 100084
电力系统及发电设备控制和仿真国家重点实验室, 清华大学, 北京市 100084 
 
梅生伟 清华大学电机工程与应用电子技术系, 北京市 100084
电力系统及发电设备控制和仿真国家重点实验室, 清华大学, 北京市 100084 
meishengwei@tsinghua.edu.cn 
袁铁江 大连理工大学电气工程学院, 辽宁省大连市 116024  
摘要:
      随着电锅炉、热泵等清洁加热设备的普及,电网和供热网的耦合日益密切。在多种能源参与交易的市场环境下,多市场主体间存在复杂的博弈关系,分析消费者的决策行为及其对能源价格的影响是重要的研究课题。设计了热—电综合市场交易机制,提出了基于常数替代弹性(CES)效用函数的消费者决策模型,该模型亦可为研究其他能源市场问题提供重要借鉴。进一步通过Karush-Kuhn-Tucker最优性条件和线性规划对偶定理得到市场均衡的混合整数线性规划条件,通过模式搜索算法求解消费者的最优策略。在IEEE 33节点配电网和32节点供热网构成的测试系统上验证了所述方法的有效性,并分析了各因素对市场均衡的影响。
Abstract:
      With the wide deployment of electrical heating devices, such as electric boilers and heat pumps, the coupling between electric power and heating system is increasingly prominent. Under the circumstance that multiple energies taking part in the trading market, sophisticated games exist between various market participants. Analyzing consumers' behaviors and their impacts on the energy prices becomes an important issue. A heat-power trading scheme is proposed and the optimal decision making problem of consumer with constant elasticity of substitution(CES)utility function is formulated. The proposed method also provides important reference for the research on other energy market problems. The market clearing condition is transformed into mixed integer linear constraints by jointly using the Karush-Kuhn-Tucker(KKT)optimality condition as well as the duality theorem of linear programming. Embedded with the market clearing condition, the consumer decision making problem is solved by the pattern search algorithm. Numeric studies on a testing system consisting of an IEEE 33 bus distribution system and a 32 node heating system show the effectiveness of the proposed method. The influences of several factors on the market equilibrium are also analyzed.
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