配电系统中可认证电压监测的最优量测选择
Optimal Measurement Selection for Certifiable Voltage Monitoring in Power Distribution Systems
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中文总结 AI 辅助
针对配电网电压监测中量测稀缺导致不可观测的问题，提出基于几何结构和双层优化的最优量测选择方法，以最大化全网电压合规认证能力，并在SCE 56节点系统上验证了其优越性。
中文摘要 AI 辅助
将用户端电压维持在规定限值内是配电系统运行的核心任务。分布式发电、电动汽车和柔性负荷的渗透率不断上升，使这一任务变得更加复杂，而实时量测的稀缺使得配电网在很大程度上不可观测。运营商通常监测少数“领头”电表，这些电表能指示运行健康状况，但无法对未量测母线提供任何认证。本研究探讨如何选择实时上报的量测，以认证全网电压限值合规性。我们首先阐述了能够认证未量测节点电压安全性的量测值几何结构。基于这一几何结构，我们构建了一个双层优化模型，用于选择量测以最大化认证能力，并引入了一种具有良好单调性属性的新型安全违规度量。我们推导了基于强对偶的单层重构以及两种具有可量化次优性的场景缩减方案。在SCE 56节点系统上的数值测试验证了所提方法在认证能力和计算效率方面的优越性。
英文摘要
Maintaining consumer-end voltages within mandated limits is a central task in operating power distribution systems. Rising penetration of distributed generation, electric vehicles, and flexible loads complicates this task, while a scarcity of real-time measurements leaves distribution networks largely unobservable. Operators commonly monitor a few bellwether meters, which indicate operational health but certify nothing about the unmeasured buses. This work asks how to select measurements that are reported in real time and can certify network-wide voltage-limit compliance. We first illustrate the geometry of the measurement values that certify voltage safety at unmeasured nodes. Building on this geometry, we formulate a bilevel optimization that selects measurements to maximize certification capability, introducing a novel safety-violation metric with favorable monotonicity properties. We derive a strong-duality-based single-level reformulation and two scenario-reduction schemes with quantifiable suboptimality. Numerical tests on the SCE 56-bus system corroborate the superior certification capability and computational efficiency of the proposed approach.
发表机构
- University of Wisconsin-Madison（威斯康星大学麦迪逊分校）
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