arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 2201.06405math.OCmath.PR
收藏

随机负荷下线路配电网稳定区域的比较

Comparison of stability regions for a line distribution network with stochastic load demands

M. H. M. Christianen, J. Cruise, A. J. E. M. Janssen, S. Shneer, M. Vlasiou, B. Zwart

摘要:

通过考虑电动汽车的随机到达、充电站对能量的随机需求以及配电网的特点,比较了电动汽车充电过程中不同潮流模型的稳定区域。我们假设配电网络是一条线路,充电站位于线路上。我们考虑Distflow和Linearized Distflow模型,并假设电动汽车具有指数充电需求,配电网络上的电压降保持在控制范围内,充电站的数量$N$趋于无穷大。通过控制电动汽车到达充电站的速度,我们研究了两种潮流模型下大型配电网中公用事业优化功率分配的稳定性。对于这两种潮流模型,我们表明,以获得稳定性,最大可行的到达率,即车辆的稳定区域是衰减为$1/N^2$,这些到达率之间的差异是常数,我们比较明确。

英文摘要:

We compare stability regions for different power flow models in the process of charging electric vehicles (EVs) by considering their random arrivals, their stochastic demand for energy at charging stations, and the characteristics of the electricity distribution network. We assume the distribution network is a line with charging stations located on it. We consider the Distflow and the Linearized Distflow models and we assume that EVs have an exponential charging requirement, that voltage drops on the distribution network stay under control and that the number of charging stations $N$ goes to infinity. We investigate the stability of utility-optimizing power allocations in large distribution networks for both power flow models by controlling the arrival rate of EVs to charging stations. For both power flow models, we show that to obtain stability, the maximum feasible arrival rate, i.e. stability region of vehicles is decaying as $1/N^2$, and the difference between those arrival rates is up to constants, which we compare explicitly.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑