Aggregate flexibility of a collection of loadsπ
Aggregate flexibility of a collection of loadsπ
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一组负载的聚合灵活性π
DOI：
10.1109/cdc.2013.6760772
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
P. Varaiya
中科院分区：
文献类型：
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作者：
A. Nayyar;Joshua A. Taylor;A. Subramanian;K. Poolla;P. Varaiya
我们考虑一个柔性载荷的集合。每个负载被建模为在服务间隔[a; d]上以最大速率m需要能量E。集合由可用的生成g（t）服务，生成g（t）必须被因果地分配给各个任务。我们的目标是描述这个集合所提供的总体灵活性。在没有速率限制的情况下，我们给出了发电商g（t）在因果调度下服务于负荷而没有盈余或赤字的充分必要条件。我们的研究结果表明，在收集的灵活性可以建模为电力存储。可以真实的实时计算等效存储器的容量Q（t）和最大充电/放电速率m（t）。事先，这些参数必须根据到达/离开统计数据和充电需求进行估计。因此，收集相当于随机时变电力存储。我们接下来考虑具有充电速率限制的情况。在这里，我们提供了等效电力存储的容量和速率的界限。我们提供合成的例子来说明我们的结果。
We consider a collection of flexible loads. Each load is modeled as requiring energy E on a service interval [a; d] at a maximum rate of m. The collection is serviced by available generation g(t) which must be allocated causally to the various tasks. Our objective is to characterize the aggregate flexibility offered by this collection. In the absence of rate limits, we offer necessary and sufficient conditions for the generation g(t) to service the loads under causal scheduling without surplus or deficit. Our results show that the flexibility in the collection can be modeled as electricity storage. The capacity Q(t) and maximum charge/discharge rate m(t) of the equivalent storage can be computed in real time. Ex ante, these parameters must be estimated based on arrival/departure statistics and charging needs. Thus, the collection is equivalent a stochastic time-varying electricity storage. We next consider the case with charging rate limits. Here, we offer bounds on the capacity and rate of the equivalent electricity storage. We offer synthetic examples to illustrate our results.