Collective Target Tracking Mean Field Control for Markovian Jump-Driven Models of Electric Water Heating Loads
Collective Target Tracking Mean Field Control for Markovian Jump-Driven Models of Electric Water Heating Loads
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DOI：
10.3182/20140824-6-za-1003.00630
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
A. Kizilkale;R. Malhamé
中科院分区：
文献类型：
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作者：
A. Kizilkale;R. Malhamé
负荷控制历来被认为是电力系统降低峰值负荷的有效工具。随着可再生能源在电网中的渗透率不断提高，负荷控制也被认为是一种工具，可以利用电力系统中自然存在的分散设备（如电热水器）中的存储来减轻发电的可变性。利用分散在整个电力系统中的存储是具有挑战性的，因为需要协调大量设备以产生理想的系统级行为。本文提出了一种基于平均场博弈论的控制体系结构，作为一种负载控制机制来限制所需的信息流，并产生局部约束有意识的分散个体控制，这些个体控制聚集到期望的平均行为。采用单个电热水负荷的马尔可夫跳跃驱动模型，其中平均场效应通过积分误差形式的二次代价函数参数介导。建立了相应的平均场纳什均衡诱导方程组，并给出了数值模拟结果。
Abstract Load control has traditionally been viewed as a useful tool for peak load reduction in power systems. With the increasing renewable energy penetration in the grid, load control is also considered as a tool to exploit the storage in dispersed devices naturally present in power systems such as electric water heaters to mitigate generation variability. Tapping into the storage dispersed across the power system is challenging because of the large number of devices that need to be coordinated to produce desirable system level behavior. In this paper a mean field game theoretic based control architecture is proposed as a load control mechanism to limit the required flows of information, and produce local constraints conscious decentralized individual controls which aggregate to a desired mean behavior. A Markovian jump-driven model of individual electric water heating loads is employed where the mean field effect is mediated through the quadratic cost function parameters under the form of an integral error. The corresponding system of mean field Nash equilibrium inducing equations is developed and numerical simulation results are presented.