Mean Field Control for Efficient Mixing of Energy Loads

Mean Field Control for Efficient Mixing of Energy Loads
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用于有效混合能量负载的平均场控制

DOI:
10.1103/physreve.101.022115
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发表时间:
2018
期刊:
Physical review. E
影响因子:
--
通讯作者:
M. Chertkov
M. Chertkov
中科院分区:
--
文献类型:
--
作者:
D. Métivier;M. Chertkov

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我们提出了一个工程挑战,即通过协调、轻执行和随机开/关切换来控制一组能源设备,这是非平衡统计力学中的一个问题。我们表明,假设通过能量流的直接物理测量可用于聚合器,对累积消耗进行非线性反馈的平均场控制允许集合从其在需求响应机制中的使用中恢复,即过渡到统计稳定状态,其速度明显快于固定反馈的情况。此外,当非线性足够强时​​,人们会观察到“超松弛”现象,即整体的瞬时总能耗转变为稳态的速度比设备在其状态空间上的潜在概率分布要快得多,同时几乎没有设备离开舒适区。
We pose an engineering challenge of controlling an ensemble of energy devices via coordinated, implementation-light, and randomized on/off switching as a problem in nonequilibrium statistical mechanics. We show that mean-field control with nonlinear feedback on the cumulative consumption, assumed available to the aggregator via direct physical measurements of the energy flow, allows the ensemble to recover from its use in the demand response regime, i.e., transition to a statistical steady state, significantly faster than in the case of the fixed feedback. Moreover when the nonlinearity is sufficiently strong, one observes the phenomenon of "super-relaxation," where the total instantaneous energy consumption of the ensemble transitions to the steady state much faster than the underlying probability distribution of the devices over their state space, while also leaving almost no devices outside of the comfort zone.
DOI: 10.1088/1742-5468/aaf631
发表时间: 2018-10
期刊: Journal of Statistical Mechanics: Theory and Experiment
影响因子: --
作者:
E. Mallmin;R. Blythe;M. Evans
通讯作者: E. Mallmin;R. Blythe;M. Evans