CANOS: A Fast and Scalable Neural AC-OPF Solver Robust To N-1 Perturbations
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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
- 2018Relational inductive biases, deep learning, and graph networkscited by 1,360
- 2016Interaction Networks for Learning about Objects, Relations and Physicscited by 509
- 2021End-to-End Constrained Optimization Learning: A Surveycited by 157
- 2019Predicting AC Optimal Power Flows: Combining Deep Learning and Lagrangian Dual Methodscited by 94
- 2017pandapower - an Open Source Python Tool for Convenient Modeling, Analysis and Optimization of Electric Power Systemscited by 85
- 2019Learning Optimal Solutions for Extremely Fast AC Optimal Power Flowcited by 77
- 2019The Power Grid Library for Benchmarking AC Optimal Power Flow Algorithmscited by 65
- 2018Relational inductive bias for physical construction in humans and machinescited by 44
- 2022Learning rigid dynamics with face interaction graph networkscited by 43
- 2017PowerModels.jl: An Open-Source Framework for Exploring Power Flow Formulationscited by 33
- 2022Topology-aware Graph Neural Networks for Learning Feasible and Adaptive ac-OPF Solutionscited by 28
- 2021Leveraging power grid topology in machine learning assisted optimal power flowcited by 22
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Citing papers per year: 2024: 8; 2025: 8; 2026: 11.
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- 2024Foundation Models for the Electric Power Gridcited by 28
- 2024OPFData: Large-scale datasets for AC optimal power flow with topological perturbationscited by 24
- 2024Graph Reinforcement Learning for Power Grids: A Comprehensive Surveycited by 7
- 2025Towards Generalization of Graph Neural Networks for AC Optimal Power Flowcited by 6
- 2026GENCO - A Unified Neural Solver Embedded in a Development Framework for Steady-State Grid Analysiscited by 6
- 2025Sparser, Better, Faster, Stronger: Sparsity Detection for Efficient Automatic Differentiationcited by 4
- 2024Improving Graph Neural Networks by Learning Continuous Edge Directionscited by 3
- 2025Flow-Aware GNN for Transmission Network Reconfiguration via Substation Breaker Optimizationcited by 3
- 2025gridfm-datakit-v1: A Python Library for Scalable and Realistic Power Flow and Optimal Power Flow Data Generationcited by 3
- 2024Optimal Power Grid Operations with Foundation Modelscited by 2
- 2024Optimization Proxies using Limited Labeled Data and Training Time -- A Semi-Supervised Bayesian Neural Network Approachcited by 2
- 2026LUMINA: A Grid Foundation Model for Benchmarking AC Optimal Power Flow Surrogate Learningcited by 2
15 more
- 2024Physics-Informed Graph Neural Networks for Robust AC-Optimal Power Flowcited by 1
- 2025Differentiable Optimization for Deep Learning-Enhanced DC Approximation of AC Optimal Power Flowcited by 1
- 2025Revisiting Deep AC-OPFcited by 1
- 2026Cheap Thrills: Effective Amortized Optimization Using Inexpensive Labelscited by 1
- 2026Towards Systematic Generalization for Power Grid Optimization Problemscited by 1
- 2026Newton's Lantern: A Reinforcement Learning Framework for Finetuning AC Power Flow Warm Start Modelscited by 1
- 2024Accelerating Quasi-Static Time Series Simulations with Foundation Modelscited by 0
- 2025Dynamic Domain Adaptation-Driven Physics-Informed Graph Representation Learning for AC-OPFcited by 0
- 2025Residual Correction Models for AC Optimal Power Flow Using DC Optimal Power Flow Solutionscited by 0
- 2026Generating adversarial inputs for a graph neural network model of AC power flowcited by 0
- 2026WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solverscited by 0
- 2026Graph Machine Learning: An Opportunity for Power Systemscited by 0
- 2026Scaling Laws for Physics-Aware ACOPF Surrogate Learningcited by 0
- 2026GridSFM: A Foundation Model for Solving AC Optimal Power Flowcited by 0
- 2026Mycelium: A Generalizable Cross-Grid Multi-Task Model for Electrical Distribution Systemscited by 0
- 2026Mycelium: A Generalizable Cross-Grid Multi-Task Model for Electrical Distribution Systems27 Sep 2026
- 2026GridSFM: A Foundation Model for Solving AC Optimal Power Flow24 Sep 2026
- 2026Scaling Laws for Physics-Aware ACOPF Surrogate Learning14 Sep 2026
- 2026Graph Machine Learning: An Opportunity for Power Systems17 Aug 2026
- 2026GENCO - A Unified Neural Solver Embedded in a Development Framework for Steady-State Grid Analysis10 Aug 2026
- 2026Newton's Lantern: A Reinforcement Learning Framework for Finetuning AC Power Flow Warm Start Models11 May 2026
- 2026WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solvers7 May 2026
- 2026LUMINA: A Grid Foundation Model for Benchmarking AC Optimal Power Flow Surrogate Learning4 May 2026
- 2026Towards Systematic Generalization for Power Grid Optimization Problems3 May 2026
- 2026Cheap Thrills: Effective Amortized Optimization Using Inexpensive Labels5 Mar 2026
- 2026Generating adversarial inputs for a graph neural network model of AC power flow20 Feb 2026
- 2025gridfm-datakit-v1: A Python Library for Scalable and Realistic Power Flow and Optimal Power Flow Data Generation16 Dec 2025
15 more
- 2025Residual Correction Models for AC Optimal Power Flow Using DC Optimal Power Flow Solutions17 Oct 2025
- 2025Towards Generalization of Graph Neural Networks for AC Optimal Power Flow8 Oct 2025
- 2025Revisiting Deep AC-OPF31 Aug 2025
- 2025Flow-Aware GNN for Transmission Network Reconfiguration via Substation Breaker Optimization3 Aug 2025
- 2025Dynamic Domain Adaptation-Driven Physics-Informed Graph Representation Learning for AC-OPF31 May 2025
- 2025Differentiable Optimization for Deep Learning-Enhanced DC Approximation of AC Optimal Power Flow22 Mar 2025
- 2025Sparser, Better, Faster, Stronger: Sparsity Detection for Efficient Automatic Differentiation29 Jan 2025
- 2024Accelerating Quasi-Static Time Series Simulations with Foundation Models13 Nov 2024
- 2024Improving Graph Neural Networks by Learning Continuous Edge Directions18 Oct 2024
- 2024Physics-Informed Graph Neural Networks for Robust AC-Optimal Power Flow7 Oct 2024
- 2024Optimization Proxies using Limited Labeled Data and Training Time -- A Semi-Supervised Bayesian Neural Network Approach4 Oct 2024
- 2024Optimal Power Grid Operations with Foundation Models3 Sep 2024
- 2024Foundation Models for the Electric Power Grid12 Jul 2024
- 2024Graph Reinforcement Learning for Power Grids: A Comprehensive Survey5 Jul 2024
- 2024OPFData: Large-scale datasets for AC optimal power flow with topological perturbations11 Jun 2024
- 2024Foundation Models for the Electric Power Gridcited by 28
- 2024OPFData: Large-scale datasets for AC optimal power flow with topological perturbationscited by 24
- 2025Towards Generalization of Graph Neural Networks for AC Optimal Power Flowcited by 6
- 2026GENCO - A Unified Neural Solver Embedded in a Development Framework for Steady-State Grid Analysiscited by 6
- 2025Sparser, Better, Faster, Stronger: Sparsity Detection for Efficient Automatic Differentiationcited by 4
- 2024Improving Graph Neural Networks by Learning Continuous Edge Directionscited by 3
- 2025Flow-Aware GNN for Transmission Network Reconfiguration via Substation Breaker Optimizationcited by 3
- 2025gridfm-datakit-v1: A Python Library for Scalable and Realistic Power Flow and Optimal Power Flow Data Generationcited by 3
- 2024Optimal Power Grid Operations with Foundation Modelscited by 2
- 2024Optimization Proxies using Limited Labeled Data and Training Time -- A Semi-Supervised Bayesian Neural Network Approachcited by 2
- 2026LUMINA: A Grid Foundation Model for Benchmarking AC Optimal Power Flow Surrogate Learningcited by 2
- 2024Physics-Informed Graph Neural Networks for Robust AC-Optimal Power Flowcited by 1
12 most cited of 25 All 25 (JSON)
- 2026Mycelium: A Generalizable Cross-Grid Multi-Task Model for Electrical Distribution Systems27 Sep 2026
- 2026GridSFM: A Foundation Model for Solving AC Optimal Power Flow24 Sep 2026
- 2026Scaling Laws for Physics-Aware ACOPF Surrogate Learning14 Sep 2026
- 2026Graph Machine Learning: An Opportunity for Power Systems17 Aug 2026
- 2026GENCO - A Unified Neural Solver Embedded in a Development Framework for Steady-State Grid Analysis10 Aug 2026
- 2026WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solvers7 May 2026
- 2026LUMINA: A Grid Foundation Model for Benchmarking AC Optimal Power Flow Surrogate Learning4 May 2026
- 2026Towards Systematic Generalization for Power Grid Optimization Problems3 May 2026
- 2026Cheap Thrills: Effective Amortized Optimization Using Inexpensive Labels5 Mar 2026
- 2026Generating adversarial inputs for a graph neural network model of AC power flow20 Feb 2026
- 2025gridfm-datakit-v1: A Python Library for Scalable and Realistic Power Flow and Optimal Power Flow Data Generation16 Dec 2025
- 2025Residual Correction Models for AC Optimal Power Flow Using DC Optimal Power Flow Solutions17 Oct 2025
12 newest of 25 All 25 (JSON)