arXiv:2508.21559cs.LGcs.AI2025-08被引 7

PINN在电网仿真中比传统模型更稳定可靠,兼顾物理规律与数据效率。

Limitations of Physics-Informed Neural Networks: a Study on Smart Grid Surrogation

  • 用物理定律作为损失函数训练,不依赖大量数据
  • 动态运行时误差更低,状态转换预测更准确
  • 适合电网实时控制等安全关键场景

物理信息神经网络(PINNs)通过将物理规律融入学习框架,为解决传统数据驱动方法在数据稀缺和物理一致性方面的挑战提供了新思路。本文评估了PINNs作为电网动态代理模型的能力,对比其在插值、交叉验证和周期轨迹预测三个实验中对XGBoost、随机森林和线性回归的表现。仅通过物理损失函数(功率平衡、运行约束、电网稳定性)训练的PINNs展现出更强泛化能力,在误差降低方面优于数据驱动模型。尤其在动态电网运行中,其平均绝对误差(MAE)更低,能可靠捕捉随机与专家控制下的状态转移,而传统模型表现波动大。尽管在极端运行工况下略有退化,但PINNs始终保证物理可行性,对安全关键应用至关重要。结果表明,PINNs是电网代理建模的范式变革工具,推动实时电网控制与可扩展数字孪生发展,凸显物理感知架构在关键能源系统中的必要性。

原文摘要 · Abstract (English)

Physics-Informed Neural Networks (PINNs) present a transformative approach for smart grid modeling by integrating physical laws directly into learning frameworks, addressing critical challenges of data scarcity and physical consistency in conventional data-driven methods. This paper evaluates PINNs' capabilities as surrogate models for smart grid dynamics, comparing their performance against XGBoost, Random Forest, and Linear Regression across three key experiments: interpolation, cross-validation, and episodic trajectory prediction. By training PINNs exclusively through physics-based loss functions (enforcing power balance, operational constraints, and grid stability) we demonstrate their superior generalization, outperforming data-driven models in error reduction. Notably, PINNs maintain comparatively lower MAE in dynamic grid operations, reliably capturing state transitions in both random and expert-driven control scenarios, while traditional models exhibit erratic performance. Despite slight degradation in extreme operational regimes, PINNs consistently enforce physical feasibility, proving vital for safety-critical applications. Our results contribute to establishing PINNs as a paradigm-shifting tool for smart grid surrogation, bridging data-driven flexibility with first-principles rigor. This work advances real-time grid control and scalable digital twins, emphasizing the necessity of physics-aware architectures in mission-critical energy systems.

电网建模PINN物理信息数字孪生

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