mlsanityData to 7 Oct 2026

LUMINA: A Grid Foundation Model for Benchmarking AC Optimal Power Flow Surrogate Learning

arXiv 2605.02133 ↗First posted 4 May 2026cs.LGcited by 2

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Abstract (arXiv)

AC optimal power flow (ACOPF) is foundational yet computationally expensive in power grid operations, driving learning-based surrogates for large-scale grid analysis. These surrogates, however, often fail to generalize across network topologies, a critical gap for deployment on grids not seen during training and for routine operational what-if studies. We introduce LUMINA-Bench, a comprehensive benchmark suite for ACOPF surrogate learning covering multi-topology pretraining, transfer, and adaptation. The benchmark evaluates homogeneous and heterogeneous architectures under single- and multi-topology learning settings using unified metrics that capture both predictive accuracy and physics-informed constraint violations. We additionally compare constraint-aware training objectives, including MSE, augmented Lagrangian, and violation-based Lagrangian losses, to characterize accuracy-robustness trade-offs across settings. Data processing, training, and evaluation frameworks are open-sourced as the LUMINA suite to support reproducibility and accelerate future research on feasibility-aware OPF surrogates.

Key facts. Cited by 2 papers in the map (data through 7 Oct 2026). Builds on 25 of its 38 references that are in the map. First posted on arXiv 4 May 2026.

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25 of 38 references.

References · 25

  1. 2016Semi-Supervised Classification with Graph Convolutional Networkscited by 11,282
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  7. 2019Predicting AC Optimal Power Flows: Combining Deep Learning and Lagrangian Dual Methodscited by 93
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  9. 2019Optimal Power Flow Using Graph Neural Networkscited by 60
  10. 2021Physics-Informed Neural Networks for AC Optimal Power Flowcited by 52
  11. 2020DeepOPF: A Feasibility-Optimized Deep Neural Network Approach for AC Optimal Power Flow Problemscited by 45
  12. 2022Topology-aware Graph Neural Networks for Learning Feasible and Adaptive ac-OPF Solutionscited by 28
13 more
  1. 2024CANOS: A Fast and Scalable Neural AC-OPF Solver Robust To N-1 Perturbationscited by 27
  2. 2024Foundation Models for the Electric Power Gridcited by 27
  3. 2024OPFData: Large-scale datasets for AC optimal power flow with topological perturbationscited by 22
  4. 2021DeepOPF-V: Solving AC-OPF Problems Efficientlycited by 18
  5. 2015Strong NP-hardness of AC power flows feasibilitycited by 13
  6. 2023Accelerating Optimal Power Flow with GPUs: SIMD Abstraction of Nonlinear Programs and Condensed-Space Interior-Point Methodscited by 11
  7. 2024QCQP-Net: Reliably Learning Feasible Alternating Current Optimal Power Flow Solutions Under Constraintscited by 5
  8. 2025Physics-Informed Gradient Estimation for Accelerating Deep Learning based AC-OPFcited by 4
  9. 2021Accelerated Computation and Tracking of AC Optimal Power Flow Solutions using GPUscited by 3
  10. 2023GPU-Accelerated Sequential Quadratic Programming Algorithm for Solving ACOPFcited by 2
  11. 2024Scalable Multi-Period AC Optimal Power Flow Utilizing GPUs with High Memory Capacitiescited by 2
  12. 2025MadNCL: A GPU Implementation of Algorithm NCL for Large-Scale, Degenerate Nonlinear Programscited by 2
  13. 2025An Augmented Lagrangian Method on GPU for Security-Constrained AC Optimal Power Flowcited by 2

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