中文摘要
专家估计,到2030年美国道路上将有2000万辆电动汽车,其中大多数(约80%)的电动汽车驾驶者将使用家庭充电。许多电力公司正在设计托管式家庭充电计划,以集中管理充电时间,从而降低成本、避免新增和加剧的用电高峰与停电,并确保电网稳定。这些托管式家庭充电计划要么是主动式的,即在车辆插电期间由电力公司持续控制充电;要么是被动式的,即参与者根据事先公布的低费率时段自行决定何时充电。我们对主动式与被动式计划的联合设计与执行进行研究。我们提出了一个计划设计模型,用于生成一份针对各类驾驶者量身定制的充电计划菜单;以及一个负荷管理模型,用于动态管理向每位个体参与者供给的负荷。该负荷管理模型包含大量非同质参与者,是一个大规模混合整数非线性随机问题。我们提出了一种有效的近似方法,对该近似方法进行了全面的理论与数值分析,并为其误差成分给出了最坏情形界。我们的方法详细揭示了通过提供托管式家庭充电计划以及定制被动式计划,在成本和需求波动性方面可实现改进的幅度与时机,同时也详细揭示了成本与需求波动性之间权衡的重要性。我们发现,若被动式计划的参与水平较高,推广每晚为电动汽车充电的文化可能显著增加电力公司的总成本。
Abstract
Experts estimate 20 million electric vehicles will be on U.S. roads by 2030, and the majority (around 80%) of the electric vehicle drivers will use home charging. Many utilities are designing managed home charging programs to centrally manage charging times to reduce cost, avoid new and aggravated peaks and blackouts, and ensure grid stability. These managed home charging programs are either active, in which the utility continuously controls the charging while the vehicle is plugged in, or passive, in which the participants decide when to charge based on preannounced low-rate episodes. We study jointly designing and executing these active and passive programs. We present a program-design model, which produces a menu of the charging programs, tailored for each driver type, and a load-management model, which dynamically manages the load supply to each individual participant. The load-management model consists of a large number of nonhomogeneous participants, and it is a large-scale mixed-integer nonlinear stochastic problem. We present an effective approximation method, conduct thorough theoretical and numerical analyses of our approximation, and provide worst-case bounds for its error components. Our methodology provides detailed insights on the amount and timing of the improvements achievable in cost and demand variability by offering managed home charging programs, and by customizing the passive programs. It also offers detailed insights on the significance of the tradeoff between cost and demand variability. We find promoting a culture of charging electric vehicles every night may significantly increase utilities’ total cost if passive programs have high participation levels.