论文标题
主动分布网格最佳功率流的二阶锥体松弛
Second-Order Cone Relaxations of the Optimal Power Flow for Active Distribution Grids
论文作者
论文摘要
凸的放宽AC最佳功率流（OPF）问题不仅对于识别全球最佳解决方案至关重要，而且对于具有平衡约束（MPEC）（MPEC）中启用OPF公式（MPEC）的使用，这是解决传输系统和分配系统运营商（TSO/DSO）之间的协调问题所必需的。本文着眼于主动分布网格和径向网络，介绍了一个框架，该框架首次收集和比较我们所知，是最有希望的凸OPF公式的实用应用程序。我们的目标是建立一个可靠的基础，该基础将为选择不同应用程序的最合适算法选择。本文（i）引入了统一的数学和仿真框架，（ii）扩展了现有的方法，以保留更广泛的情况，并且（iii）考虑反应能力注射。我们使用年度太阳照射和负载数据对IEEE 34和123径向测试馈线进行模拟。
Convex relaxations of the AC Optimal Power Flow (OPF) problem are essential not only for identifying the globally optimal solution but also for enabling the use of OPF formulations in Bilevel Programming and Mathematical Programs with Equilibrium Constraints (MPEC), which are required for solving problems such as the coordination between transmission and distribution system operator (TSO/DSO) or optimal network investment. Focusing on active distribution grids and radial networks, this paper introduces a framework that collects and compares, for the first time to our knowledge, the performance of the most promising convex OPF formulations for practical applications. Our goal is to establish a solid basis that will inform the selection of the most appropriate algorithm for different applications. This paper (i) introduces a unified mathematical and simulation framework, (ii) extends existing methods to retain exactness in a wider number of cases and (iii) consider reactive power injections. We conduct simulations on the IEEE 34 and 123 radial test feeders with distributed energy resources (DERs), using yearly solar irradiation and load data.
