arXiv:2411.06268eess.SYcs.LG2024-11被引 1

用虚拟节点拆分提升图神经网络对电网的建模能力,大幅减少最优潮流计算量。

Constraints and Variables Reduction for Optimal Power Flow Using Hierarchical Graph Neural Networks with Virtual Node-Splitting

  • 通过虚拟节点拆分,让图神经网络精准捕捉发电机组特性
  • 新模型减少约束和变量数,计算速度显著提升,解仍接近最优
  • 适合需要快速求解电网最优潮流的实时调度场景

电力系统常被建模为同质图,限制了图神经网络(GNN)对同一节点上发电机特征的捕捉能力。本文提出虚拟节点拆分策略,使发电机组的成本、容量和爬坡速率等属性可被充分建模,增强GNN的学习与预测精度。最优潮流(OPF)用于实时电网运行,但时间紧迫,需构建简化版的缩减型最优潮流(ROPF)模型以降低计算复杂度。本文基于虚拟节点拆分,设计一种两阶段自适应分层GNN,先预测可能拥塞的关键线路,再预测处于满载状态的基础发电机组。该方法大幅减少所需约束和变量,形成提出的ROPFLG模型,实现监测线路与机组特异性变量及约束的双重削减。另构建仅减少线路(ROPFL)或仅减少机组(ROPFG)的基准模型。案例研究显示,所提ROPFLG在保证可靠最优解的同时,显著优于全规模OPF(FOPF)及另外两种ROPF方法,大幅节省计算时间。

原文摘要 · Abstract (English)

Power system networks are often modeled as homogeneous graphs, which limits the ability of graph neural network (GNN) to capture individual generator features at the same nodes. By introducing the proposed virtual node-splitting strategy, generator-level attributes like costs, limits, and ramp rates can be fully captured by GNN models, improving GNN's learning capacity and prediction accuracy. Optimal power flow (OPF) problem is used for real-time grid operations. Limited timeframe motivates studies to create size-reduced OPF (ROPF) models to relieve the computational complexity. In this paper, with virtual node-splitting, a novel two-stage adaptive hierarchical GNN is developed to (i) predict critical lines that would be congested, and then (ii) predict base generators that would operate at the maximum capacity. This will substantially reduce the constraints and variables needed for OPF, creating the proposed ROPFLG model with reduced monitor lines and reduced generator-specific variables and constraints. Two ROPF models, ROPFL and ROPFG, with just reduced lines or generators respectively, are also implemented as additional benchmark models. Case studies show that the proposed ROPFLG consistently outperforms the benchmark full OPF (FOPF) and the other two ROPF methods, achieving significant computational time savings while reliably finding optimal solutions.

最优潮流图神经网络电网优化模型压缩

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