Power of Ensemble Diversity and Randomization for Energy Aggregation
Power of Ensemble Diversity and Randomization for Energy Aggregation
复制标题
能量聚合的集合多样性和随机化的力量
作者：
D. Métivier;Ilia Luchnikov;M. Chertkov
我们研究了一组不同的(非均匀的)恒温控制的负荷集合，它们聚集在一起以提供地区级能源系统中的需求响应(DR)服务。假设组合中的每个负荷配备有随机数发生器，当负荷离开舒适区时，以泊松比r开关加热/制冷。集合多样性是通过负载的确定性动力学中的不均匀/无序来建模的。从统计物理学的观点来看，系综代表了一个非平衡系统，它被DR驱使远离其自然的稳态。在使用DR之后，系综能通过更快地混合到稳态而恢复的能力是有利的。分析了聚合器的控制水平、命令器件降低速率r与相空间振荡确定性动力学之间的权衡。然后，我们研究了负载多样性的影响，研究了四种不同的无序概率分布(DPD)，从高斯无序概率分布到有限支撑均匀无序概率分布的情况。结果表明，DPD的规律性越强，混合速度越快，这类似于等离子体物理中的朗道阻尼。我们的理论分析得到了广泛的数值验证的支持。
We study an ensemble of diverse (inhomogeneous) thermostatically controlled loads aggregated to provide the demand response (DR) services in a district-level energy system. Each load in the ensemble is assumed to be equipped with a random number generator switching heating/cooling on or off with a Poisson rate, r, when the load leaves the comfort zone. Ensemble diversity is modeled through inhomogeneity/disorder in the deterministic dynamics of loads. Approached from the standpoint of statistical physics, the ensemble represents a non-equilibrium system driven away from its natural steady state by the DR. The ability of the ensemble to recover by mixing faster to the steady state after its DR’s use is advantageous. The trade-off between the level of the aggregator’s control, commanding the devices to lower the rate r, and the phase-space-oscillatory deterministic dynamics is analyzed. Then, we study the effect of the load diversity, investigating four different disorder probability distributions (DPDs) ranging from the case of the Gaussian DPD to the case of the uniform with finite support DPD. We show that stronger regularity of the DPD results in faster mixing, which is similar to the Landau damping in plasma physics. Our theoretical analysis is supported by extensive numerical validation.
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