mlsanityData to 14 Oct 2026

CANOS: A Fast and Scalable Neural AC-OPF Solver Robust To N-1 Perturbations

arXiv 2403.17660 ↗First posted 26 Mar 2024cs.LGcited by 27

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Abstract (arXiv)

Optimal Power Flow (OPF) refers to a wide range of related optimization problems with the goal of operating power systems efficiently and securely. In the simplest setting, OPF determines how much power to generate in order to minimize costs while meeting demand for power and satisfying physical and operational constraints. In even the simplest case, power grid operators use approximations of the AC-OPF problem because solving the exact problem is prohibitively slow with state-of-the-art solvers. These approximations sacrifice accuracy and operational feasibility in favor of speed. This trade-off leads to costly "uplift payments" and increased carbon emissions, especially for large power grids. In the present work, we train a deep learning system (CANOS) to predict near-optimal solutions (within 1% of the true AC-OPF cost) without compromising speed (running in as little as 33--65 ms). Importantly, CANOS scales to realistic grid sizes with promising empirical results on grids containing as many as 10,000 buses. Finally, because CANOS is a Graph Neural Network, it is robust to changes in topology. We show that CANOS is accurate across N-1 topological perturbations of a base grid typically used in security-constrained analysis. This paves the way for more efficient optimization of more complex OPF problems which alter grid connectivity such as unit commitment, topology optimization and security-constrained OPF.

Key facts. Cited by 27 papers in the map (data through 14 Oct 2026). Builds on 14 of its 47 references that are in the map. First posted on arXiv 26 Mar 2024.

Builds on

14 of 47 references.

References · 14

  1. 2018Relational inductive biases, deep learning, and graph networkscited by 1,360
  2. 2016Interaction Networks for Learning about Objects, Relations and Physicscited by 509
  3. 2021End-to-End Constrained Optimization Learning: A Surveycited by 157
  4. 2019Predicting AC Optimal Power Flows: Combining Deep Learning and Lagrangian Dual Methodscited by 94
  5. 2017pandapower - an Open Source Python Tool for Convenient Modeling, Analysis and Optimization of Electric Power Systemscited by 85
  6. 2019Learning Optimal Solutions for Extremely Fast AC Optimal Power Flowcited by 77
  7. 2019The Power Grid Library for Benchmarking AC Optimal Power Flow Algorithmscited by 65
  8. 2018Relational inductive bias for physical construction in humans and machinescited by 44
  9. 2022Learning rigid dynamics with face interaction graph networkscited by 43
  10. 2017PowerModels.jl: An Open-Source Framework for Exploring Power Flow Formulationscited by 33
  11. 2022Topology-aware Graph Neural Networks for Learning Feasible and Adaptive ac-OPF Solutionscited by 28
  12. 2021Leveraging power grid topology in machine learning assisted optimal power flowcited by 22
2 more
  1. 2021OPF-Learn: An Open-Source Framework for Creating Representative AC Optimal Power Flow Datasetscited by 18
  2. 2019Solutions of DC OPF are Never AC Feasiblecited by 16

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2024: 8; 2025: 8; 2026: 11.

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  1. 2024Foundation Models for the Electric Power Gridcited by 28
  2. 2024OPFData: Large-scale datasets for AC optimal power flow with topological perturbationscited by 24
  3. 2024Graph Reinforcement Learning for Power Grids: A Comprehensive Surveycited by 7
  4. 2025Towards Generalization of Graph Neural Networks for AC Optimal Power Flowcited by 6
  5. 2026GENCO - A Unified Neural Solver Embedded in a Development Framework for Steady-State Grid Analysiscited by 6
  6. 2025Sparser, Better, Faster, Stronger: Sparsity Detection for Efficient Automatic Differentiationcited by 4
  7. 2024Improving Graph Neural Networks by Learning Continuous Edge Directionscited by 3
  8. 2025Flow-Aware GNN for Transmission Network Reconfiguration via Substation Breaker Optimizationcited by 3
  9. 2025gridfm-datakit-v1: A Python Library for Scalable and Realistic Power Flow and Optimal Power Flow Data Generationcited by 3
  10. 2024Optimal Power Grid Operations with Foundation Modelscited by 2
  11. 2024Optimization Proxies using Limited Labeled Data and Training Time -- A Semi-Supervised Bayesian Neural Network Approachcited by 2
  12. 2026LUMINA: A Grid Foundation Model for Benchmarking AC Optimal Power Flow Surrogate Learningcited by 2
15 more
  1. 2024Physics-Informed Graph Neural Networks for Robust AC-Optimal Power Flowcited by 1
  2. 2025Differentiable Optimization for Deep Learning-Enhanced DC Approximation of AC Optimal Power Flowcited by 1
  3. 2025Revisiting Deep AC-OPFcited by 1
  4. 2026Cheap Thrills: Effective Amortized Optimization Using Inexpensive Labelscited by 1
  5. 2026Towards Systematic Generalization for Power Grid Optimization Problemscited by 1
  6. 2026Newton's Lantern: A Reinforcement Learning Framework for Finetuning AC Power Flow Warm Start Modelscited by 1
  7. 2024Accelerating Quasi-Static Time Series Simulations with Foundation Modelscited by 0
  8. 2025Dynamic Domain Adaptation-Driven Physics-Informed Graph Representation Learning for AC-OPFcited by 0
  9. 2025Residual Correction Models for AC Optimal Power Flow Using DC Optimal Power Flow Solutionscited by 0
  10. 2026Generating adversarial inputs for a graph neural network model of AC power flowcited by 0
  11. 2026WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solverscited by 0
  12. 2026Graph Machine Learning: An Opportunity for Power Systemscited by 0
  13. 2026Scaling Laws for Physics-Aware ACOPF Surrogate Learningcited by 0
  14. 2026GridSFM: A Foundation Model for Solving AC Optimal Power Flowcited by 0
  15. 2026Mycelium: A Generalizable Cross-Grid Multi-Task Model for Electrical Distribution Systemscited by 0