论文标题
与随机负载需求的线路分配网络的稳定区域的比较
Comparison of stability regions for a line distribution network with stochastic load demands
论文作者
论文摘要
我们通过考虑其随机到达,对充电站的能源的随机需求以及电力分配网络的特性来比较电动汽车(EV)在为电动汽车(EV)中的稳定区域进行比较。我们假设配电网络是一条线,上面有充电站。我们考虑延伸和线性化的截距模型,我们假设电动汽车具有指数充电要求,分销网络上的电压下降保持在控制的控制之下,并且充电站的数量$ n $流向无限。我们通过控制电动汽车到充电站的到达速率来研究两个功率流模型中大型分配网络中实用性优化功率分配的稳定性。对于这两种电源流模型,我们都表明,要获得稳定性,最大可行的到达率,即车辆的稳定性区域腐烂为$ 1/n^2 $,并且这些到达率之间的差异取决于常数,我们将明确比较。
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.