Learning Warm-Start Points for AC Optimal Power Flow
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Abstract (arXiv)
A large amount of data has been generated by grid operators solving AC optimal power flow (ACOPF) throughout the years, and we explore how leveraging this data can be used to help solve future ACOPF problems. We use this data to train a Random Forest to predict solutions of future ACOPF problems. To preserve correlations and relationships between predicted variables, we utilize a multi-target approach to learn approximate voltage and generation solutions to ACOPF problems directly by only using network loads, without the knowledge of other network parameters or the system topology. We explore the benefits of using the learned solution as an intelligent warm start point for solving the ACOPF, and the proposed framework is evaluated numerically using multiple IEEE test networks. The benefit of using learned ACOPF solutions is shown to be solver and network dependent, but shows promise for quickly finding approximate solutions to the ACOPF problem.
Key facts. Cited by 32 papers in the map (data through 14 Oct 2026). First posted on arXiv 21 May 2019.
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Citing papers per year: 2021: 7; 2022: 5; 2023: 4; 2024: 3; 2025: 6; 2026: 7.
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- 2021DC3: A learning method for optimization with hard constraintscited by 184
- 2022Tutorial on amortized optimizationcited by 83
- 2023Learning to Warm-Start Fixed-Point Optimization Algorithmscited by 32
- 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
- 2021OPF-Learn: An Open-Source Framework for Creating Representative AC Optimal Power Flow Datasetscited by 18
- 2021Spatial Network Decomposition for Fast and Scalable AC-OPF Learningcited by 15
- 2022Confidence-Aware Graph Neural Networks for Learning Reliability Assessment Commitmentscited by 12
- 2025Generating Symbolic World Models via Test-time Scaling of Large Language Modelscited by 12
- 2023Compact Optimization Learning for AC Optimal Power Flowcited by 11
- 2022Learning Regionally Decentralized AC Optimal Power Flows with ADMMcited by 7
- 2021Ensuring DNN Solution Feasibility for Optimization Problems with Convex Constraints and Its Application to DC Optimal Power Flow Problemscited by 6
20 more
- 2025Towards Generalization of Graph Neural Networks for AC Optimal Power Flowcited by 6
- 2021Graph Neural Networks for Learning Real-Time Prices in Electricity Marketcited by 5
- 2024QCQP-Net: Reliably Learning Feasible Alternating Current Optimal Power Flow Solutions Under Constraintscited by 5
- 2024Data-Driven Performance Guarantees for Classical and Learned Optimizerscited by 5
- 2024Learning Multiple Initial Solutions to Optimization Problemscited by 4
- 2021Scalable Learning for Optimal Load Shedding Under Power Grid Emergency Operationscited by 3
- 2025Constrained Diffusion Models for Synthesizing Representative Power Flow Datasetscited by 2
- 2022Grid-SiPhyR: An end-to-end learning to optimize framework for combinatorial problems in power systemscited by 1
- 2025Diffusion-based learning framework for Constrained Nonconvex Optimization with Weighted Bootstrapped Refinementcited by 1
- 2026LEAF: A Learning-Enabled ADMM Framework for Accelerated Convex Optimizationcited by 1
- 2023AI Driven Near Real-time Locational Marginal Pricing Method: A Feasibility and Robustness Studycited by 0
- 2023Unit Commitment Predictor With a Performance Guarantee: A Support Vector Machine Classifiercited by 0
- 2025Study Design and Demystification of Physics Informed Neural Networks for Power Flow Simulationcited by 0
- 2025Residual Correction Models for AC Optimal Power Flow Using DC Optimal Power Flow Solutionscited by 0
- 2026Learning efficient representations of complex constraints for scalable optimizationcited by 0
- 2026WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solverscited by 0
- 2026Learning-enabled Acceleration of Scenario-based Model Predictive Controlcited by 0
- 2026When Do Learned Diffusion Proposals Help Constraint Solving? A Controlled Study on Continuous Algebraic Systemscited by 0
- 2026Graph Machine Learning: An Opportunity for Power Systemscited by 0
- 2026Scalable Self-Supervised Learning for Multiphase AC-OPF in Distribution Systems with Topology Reconfigurationcited by 0
- 2026Scalable Self-Supervised Learning for Multiphase AC-OPF in Distribution Systems with Topology Reconfiguration25 Aug 2026
- 2026Graph Machine Learning: An Opportunity for Power Systems17 Aug 2026
- 2026When Do Learned Diffusion Proposals Help Constraint Solving? A Controlled Study on Continuous Algebraic Systems29 Jul 2026
- 2026Learning-enabled Acceleration of Scenario-based Model Predictive Control14 Jul 2026
- 2026LEAF: A Learning-Enabled ADMM Framework for Accelerated Convex Optimization8 Jun 2026
- 2026WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solvers7 May 2026
- 2026Learning efficient representations of complex constraints for scalable optimization9 Mar 2026
- 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
- 2025Study Design and Demystification of Physics Informed Neural Networks for Power Flow Simulation23 Sep 2025
- 2025Constrained Diffusion Models for Synthesizing Representative Power Flow Datasets12 Jun 2025
- 2025Diffusion-based learning framework for Constrained Nonconvex Optimization with Weighted Bootstrapped Refinement14 Feb 2025
20 more
- 2025Generating Symbolic World Models via Test-time Scaling of Large Language Models7 Feb 2025
- 2024Learning Multiple Initial Solutions to Optimization Problems4 Nov 2024
- 2024Data-Driven Performance Guarantees for Classical and Learned Optimizers22 Apr 2024
- 2024QCQP-Net: Reliably Learning Feasible Alternating Current Optimal Power Flow Solutions Under Constraints11 Jan 2024
- 2023Unit Commitment Predictor With a Performance Guarantee: A Support Vector Machine Classifier7 Oct 2023
- 2023Learning to Warm-Start Fixed-Point Optimization Algorithms14 Sep 2023
- 2023AI Driven Near Real-time Locational Marginal Pricing Method: A Feasibility and Robustness Study16 Jun 2023
- 2023Compact Optimization Learning for AC Optimal Power Flow21 Jan 2023
- 2022Confidence-Aware Graph Neural Networks for Learning Reliability Assessment Commitments28 Nov 2022
- 2022Grid-SiPhyR: An end-to-end learning to optimize framework for combinatorial problems in power systems11 Jun 2022
- 2022Topology-aware Graph Neural Networks for Learning Feasible and Adaptive ac-OPF Solutions16 May 2022
- 2022Learning Regionally Decentralized AC Optimal Power Flows with ADMM8 May 2022
- 2022Tutorial on amortized optimization1 Feb 2022
- 2021Ensuring DNN Solution Feasibility for Optimization Problems with Convex Constraints and Its Application to DC Optimal Power Flow Problems15 Dec 2021
- 2021Scalable Learning for Optimal Load Shedding Under Power Grid Emergency Operations23 Nov 2021
- 2021OPF-Learn: An Open-Source Framework for Creating Representative AC Optimal Power Flow Datasets1 Nov 2021
- 2021Leveraging power grid topology in machine learning assisted optimal power flow1 Oct 2021
- 2021Graph Neural Networks for Learning Real-Time Prices in Electricity Market19 Jun 2021
- 2021DC3: A learning method for optimization with hard constraints25 Apr 2021
- 2021Spatial Network Decomposition for Fast and Scalable AC-OPF Learning17 Jan 2021
- 2021DC3: A learning method for optimization with hard constraintscited by 184
- 2022Tutorial on amortized optimizationcited by 83
- 2023Learning to Warm-Start Fixed-Point Optimization Algorithmscited by 32
- 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
- 2021OPF-Learn: An Open-Source Framework for Creating Representative AC Optimal Power Flow Datasetscited by 18
- 2021Spatial Network Decomposition for Fast and Scalable AC-OPF Learningcited by 15
- 2022Confidence-Aware Graph Neural Networks for Learning Reliability Assessment Commitmentscited by 12
- 2023Compact Optimization Learning for AC Optimal Power Flowcited by 11
- 2022Learning Regionally Decentralized AC Optimal Power Flows with ADMMcited by 7
- 2021Ensuring DNN Solution Feasibility for Optimization Problems with Convex Constraints and Its Application to DC Optimal Power Flow Problemscited by 6
- 2025Towards Generalization of Graph Neural Networks for AC Optimal Power Flowcited by 6
12 most cited of 29 All 29 (JSON)
- 2026Scalable Self-Supervised Learning for Multiphase AC-OPF in Distribution Systems with Topology Reconfiguration25 Aug 2026
- 2026Graph Machine Learning: An Opportunity for Power Systems17 Aug 2026
- 2026When Do Learned Diffusion Proposals Help Constraint Solving? A Controlled Study on Continuous Algebraic Systems29 Jul 2026
- 2026Learning-enabled Acceleration of Scenario-based Model Predictive Control14 Jul 2026
- 2026LEAF: A Learning-Enabled ADMM Framework for Accelerated Convex Optimization8 Jun 2026
- 2026WARP: A Benchmark for Primal-Dual Warm-Starting of Interior-Point Solvers7 May 2026
- 2026Learning efficient representations of complex constraints for scalable optimization9 Mar 2026
- 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
- 2025Study Design and Demystification of Physics Informed Neural Networks for Power Flow Simulation23 Sep 2025
- 2024Learning Multiple Initial Solutions to Optimization Problems4 Nov 2024
- 2024Data-Driven Performance Guarantees for Classical and Learned Optimizers22 Apr 2024
12 newest of 29 All 29 (JSON)