arXiv:2504.01970math.OCcs.AI2025-04被引 4

用深度学习优化电力系统调度,让简化模型更接近真实结果。

Differentiable Optimization for Deep Learning-Enhanced DC Approximation of AC Optimal Power Flow

  • 用神经网络预测节点导纳和支路电纳,修正线性化模型误差
  • 训练后预测精度显著提升,逼近精确交流潮流解
  • 适合电力系统优化、智能电网领域研究者快速部署

随着电力系统规模扩大及可再生能源带来的不确定性增加,亟需比现有方法更快更准的优化技术。作为电网优化核心的交流最优潮流(AC-OPF)问题常被线性化的直流最优潮流(DC-OPF)模型近似以保证计算可行性,但会牺牲决策的最优性与效率。为此,本文提出一种基于深度学习的网络等效新框架,通过引入可微优化,训练神经网络以预测调整后的节点注入导纳和支路电纳,从而补偿非线性潮流行为。该模型可通过隐函数定理实现端到端训练,利用现代深度学习框架完成优化。实验表明,该方法能显著提升预测精度,使改进后的DC-OPF更贴近真实的AC-OPF解。

原文摘要 · Abstract (English)

The growing scale of power systems and the increasing uncertainty introduced by renewable energy sources necessitates novel optimization techniques that are significantly faster and more accurate than existing methods. The AC Optimal Power Flow (AC-OPF) problem, a core component of power grid optimization, is often approximated using linearized DC Optimal Power Flow (DC-OPF) models for computational tractability, albeit at the cost of suboptimal and inefficient decisions. To address these limitations, we propose a novel deep learning-based framework for network equivalency that enhances DC-OPF to more closely mimic the behavior of AC-OPF. The approach utilizes recent advances in differentiable optimization, incorporating a neural network trained to predict adjusted nodal shunt conductances and branch susceptances in order to account for nonlinear power flow behavior. The model can be trained end-to-end using modern deep learning frameworks by leveraging the implicit function theorem. Results demonstrate the framework's ability to significantly improve prediction accuracy.

电力系统深度学习优化

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