A class of collective target tracking problems in energy systems: Cooperative versus non-cooperative mean field control solutions
A class of collective target tracking problems in energy systems: Cooperative versus non-cooperative mean field control solutions
复制标题
能源系统中的一类集体目标跟踪问题：合作与非合作平均场控制解决方案
DOI：
10.1109/cdc.2014.7039931
复制
发表时间：
2014
期刊：
影响因子：
--
通讯作者：
R. Malhamé
中科院分区：
文献类型：
--
作者：
A. Kizilkale;R. Malhamé
作为智能电网全系统优化问题的一部分，要求与储能相关的大量空间供暖设备的平均温度遵循预先计算的目标温度轨迹。经典的控制方法是集中评估每个设备所需的信号并发送该信号。然而，相应的计算和通信要求可能是令人望而却步的。在前人的工作[1]中，采用了基于积分误差的分散平均场控制方法，建立了相应的平均场方程组，并给出了∈-Nash定理。在这项工作中，利用合作平均场公式[2]，由此产生的策略集渐近地达到社会最优为N→∞。建立了相应的平均场方程组，给出了∈-Nash定理，并对两种方法的结果进行了数值模拟比较。
As part of a system wide optimization problem in smart grids it is required that the mean temperature of a massive number of space heating devices associated with energy storage follow a precomputed target temperature trajectory. The classical control approach is to evaluate the required signal centrally for each device and to send that signal. However, the corresponding computational and communication requirements can be forbidding. In previous work [1] an integral error based decentralized mean field control approach was followed, the corresponding system of mean field equations was developed, and an ∈-Nash theorem was presented. In this work a cooperative mean field formulation [2] is utilized whereby the resulting set of strategies asymptotically achieves the social optimum as N → ∞. The corresponding system of mean field equations is developed, an ∈-Nash theorem is presented, and numerical simulations are provided for comparing results based on the two approaches.