面向主动配电网的、基于分布式多时段最优潮流与Jain指数的公平动态运行 envelopes
Fair Dynamic Operating Envelopes using Distributed Multi-Period Optimal Power Flow and Jain Index for Active Distribution Networks
AI总结：
本文针对主动配电网，提出两阶段多时段框架，结合分布式多时段最优潮流与Jain指数，实现公平动态运行 envelopes，在控制弃电与保障公平的同时满足运行约束。
AI中文摘要：
动态运行 envelopes（DOEs）越来越多地用于发布时变的并网出口限值，以确保配电网保持在运行限值内。然而，纯技术层面的DOE分配会系统性地优待电气条件有利的产消者，而将公平性直接嵌入单时段最优潮流（OPF）目标的做法，会将网络可行性、公平性和效率混合在一起，从而模糊公平性的成本。本文提出了一种两阶段多时段框架，以解决上述两个问题。首先，技术分布式OPF计算网络可行的出口 envelopes；随后阶段应用动态总出口预算，并通过累积比例公平性重新分配容量，同时通过可允许的效率预算限制额外的弃电。由此产生的公平DOE被视为第一阶段决策，而电池储能则在需求和可再生能源不确定性下提供依赖场景的 recourse。该运行问题通过校准的区域交替方向乘子法（ADMM）在无损LinDistFlow模型上求解，并通过交流潮流进行独立验证。在IEEE 33节点馈线上的24小时时间范围内，技术基准产生的可再生能源弃电量为2.1097 MWh，而公平约束分配将弃电量增加至5.7216 MWh，但将最大累积弃电率限制在11.20%，并将Jain公平指数提高至接近1，交流电压偏差低于0.01 p.u.，且在采用的0.90-1.05 p.u.限值下无电压或热违规。结果表明，同时考虑储能（可缓解弃电影响）和多时段公平性（会增加弃电量）是现代DOE设计的一种有趣方法，这反过来需要一种多时段、协同设计的方法。
英文摘要：
Dynamic operating envelopes (DOEs) are increasingly used to publish time-varying export limits that keep distribution networks within operational limits. Purely technical DOE allocation, however, can systematically privilege electrically favorable prosumers, while embedding fairness directly into a single-period optimal power flow (OPF) objective mixes network feasibility, equity and efficiency in a way that obscures the cost of fairness. This paper proposes a two-stage, multi-period framework that addresses both of these. Initially, a technical distributed OPF computes network-feasible export envelopes. The subsequent stage then applies a dynamic aggregate export budget and redistributes capacity through cumulative proportional fairness, limiting the additional curtailment by an admissible efficiency budget. The resulting fair DOEs are treated as first-stage decisions, while battery storage provides scenario-dependent recourse under demand and renewable uncertainty. The operational problem is solved by a calibrated regional alternating direction method of multipliers (ADMM) on a lossless LinDistFlow model and independently validated using AC power flow. On the IEEE 33-bus feeder over a 24-hour horizon, the technical benchmark yields 2.1097 MWh of renewable curtailment, whereas the fairness-constrained allocation increases curtailment to 5.7216 MWh but caps the maximum cumulative curtailment ratio at 11.20% and raises Jain fairness indices close to unity, with AC voltage deviations below 0.01 p.u. and no voltage or thermal violations under the adopted 0.90-1.05 p.u. limits. Results show that considering both storage (which alleviates curtailment impact) and multi-period fairness (which increases curtailment) is an interesting approach for modern DOE design, which in turn requires a multi-period, co-designed approach.
