基于证书的异构辐射型配电网协调下垂控制综合方法
Certificate-based Synthesis of Coordinated Droop Control for Heterogeneous Radial Distribution Networks
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中文总结 AI 辅助
本文提出一种基于证书的异构辐射型配电网协调下垂控制方法，推导保留局部信息的电压包络，设计带虚拟协调与仿生前馈补偿的控制器，在两个基准网络上验证其可得到更紧凑且空间信息丰富的证书。
中文摘要 AI 辅助
针对下垂控制的低压馈线，电压证书常基于全局最坏情况量构建。在异构馈线中，此类边界会隐藏电压风险的发生位置，且随馈线灵敏度累积，下游保守性会不断增强。本文表明，电压证书不仅可用于评估给定控制器，还可用于设计控制器。具体而言，我们推导了确定性的全时段、分节点电压包络，其保留了局部扰动边界、下垂斜率、逆变器限值及馈线相关灵敏度，同时将最坏情况证书作为特殊情形恢复。为克服网络拓扑导致的边界劣化，我们引入了带虚拟协调与仿生前馈补偿的下垂架构，该架构可重塑有效电压灵敏度。缩放变换将联合控制器与证书设计转化为线性规划，确保前向不变性及无功备用约束的满足。该控制器仅使用选定的通信链路，可对所有容许扰动保证经认证的电压与逆变器限值。我们在两个辐射型低压网络基准上评估了所提证书与方法：一个五用户住宅馈线，以及一个包含四个馈线的二十六用户农村网络。研究表明，所获证书更紧凑且空间信息更丰富，同时满足逆变器限值要求。
英文摘要
Voltage certificates for droop-controlled radial distribution networks are often constructed from worst-case quantities. In heterogeneous radial networks, this approach can hide where voltage deviations are most likely. Furthermore, such certificates become increasingly conservative as the network sensitivities accumulate. Leveraging the structure of the linearized DistFlow model and slope-restricted droop controllers, we derive tighter deterministic voltage certificates that retain heterogeneous network, disturbance and inverter characteristics of each bus. The certificates reveal the buses and local limitations that dominate certified voltage performance. Worst-case bounds are recovered as a special case. Although tighter, the heterogeneous certificates can still deteriorate downstream due to the network structure. To address this, we leverage our certificates as design variables for coordinated voltage control. Specifically, we develop a virtual droop architecture with coordination and affine feedforward compensation to reshape the effective voltage sensitivity, and formulate a linear program that jointly synthesizes the controller and minimizes its heterogeneous voltage certificates under operational, communication and inverter placement constraints. The resulting controller guarantees the voltage and inverter bounds for all admissible disturbances. Evaluation on two network benchmarks, a five-customer residential feeder and a 26-customer rural network comprising four feeders, demonstrates improved certificates and voltage behaviour under inverter limits.
