Data-driven Optimal Power Flow: A Physics-Informed Machine Learning Approach
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Abstract (arXiv)
This paper proposes a data-driven approach for optimal power flow (OPF) based on the stacked extreme learning machine (SELM) framework. SELM has a fast training speed and does not require the time-consuming parameter tuning process compared with the deep learning algorithms. However, the direct application of SELM for OPF is not tractable due to the complicated relationship between the system operating status and the OPF solutions. To this end, a data-driven OPF regression framework is developed that decomposes the OPF model features into three stages. This not only reduces the learning complexity but also helps correct the learning bias. A sample pre-classification strategy based on active constraint identification is also developed to achieve enhanced feature attractions. Numerical results carried out on IEEE and Polish benchmark systems demonstrate that the proposed method outperforms other alternatives. It is also shown that the proposed method can be easily extended to address different test systems by adjusting only a few hyperparameters.
Key facts. Cited by 18 papers in the map (data through 7 Oct 2026). First posted on arXiv 31 May 2020.
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Citing papers per year: 2021: 4; 2022: 3; 2023: 4; 2024: 4; 2025: 3.
18 papers.
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- 2021Learning Optimization Proxies for Large-Scale Security-Constrained Economic Dispatchcited by 29
- 2024PowerGraph: A power grid benchmark dataset for graph neural networkscited by 19
- 2023Compact Optimization Learning for AC Optimal Power Flowcited by 11
- 2021Ensuring DNN Solution Feasibility for Optimization Problems with Convex Constraints and Its Application to DC Optimal Power Flow Problemscited by 6
- 2022Massively Digitized Power Grid: Opportunities and Challenges of Use-inspired AIcited by 6
- 2021Controlling Smart Inverters using Proxies: A Chance-Constrained DNN-based Approachcited by 5
- 2023A Physics-Informed Machine Learning for Electricity Markets: A NYISO Case Studycited by 4
- 2024Power Flow Analysis Using Deep Neural Networks in Three-Phase Unbalanced Smart Distribution Gridscited by 3
- 2025A Survey of Physics-Informed AI for Complex Urban Systemscited by 2
- 2021Deep Reinforcement Learning for Optimal Power Flow with Renewables Using Graph Informationcited by 1
- 2022Sampling Strategies for Static Powergrid Modelscited by 1
- 2022Machine Learning for Electricity Market Clearingcited by 1
6 more
- 2023Optimal Power Flow in Highly Renewable Power System Based on Attention Neural Networkscited by 1
- 2023Operational risk quantification of power grids using graph neural network surrogates of the DC OPFcited by 0
- 2024Robust Deep Reinforcement Learning for Inverter-based Volt-Var Control in Partially Observable Distribution Networkscited by 0
- 2024Adaptive Informed Deep Neural Networks for Power Flow Analysiscited by 0
- 2025Time and Frequency Domain-based Anomaly Detection in Smart Meter Data for Distribution Network Studiescited by 0
- 2025Study Design and Demystification of Physics Informed Neural Networks for Power Flow Simulationcited by 0
- 2025Study Design and Demystification of Physics Informed Neural Networks for Power Flow Simulation23 Sep 2025
- 2025A Survey of Physics-Informed AI for Complex Urban Systems9 Jun 2025
- 2025Time and Frequency Domain-based Anomaly Detection in Smart Meter Data for Distribution Network Studies25 Apr 2025
- 2024Adaptive Informed Deep Neural Networks for Power Flow Analysis3 Dec 2024
- 2024Robust Deep Reinforcement Learning for Inverter-based Volt-Var Control in Partially Observable Distribution Networks13 Aug 2024
- 2024PowerGraph: A power grid benchmark dataset for graph neural networks5 Feb 2024
- 2024Power Flow Analysis Using Deep Neural Networks in Three-Phase Unbalanced Smart Distribution Grids15 Jan 2024
- 2023Optimal Power Flow in Highly Renewable Power System Based on Attention Neural Networks23 Nov 2023
- 2023Operational risk quantification of power grids using graph neural network surrogates of the DC OPF7 Nov 2023
- 2023A Physics-Informed Machine Learning for Electricity Markets: A NYISO Case Study31 Mar 2023
- 2023Compact Optimization Learning for AC Optimal Power Flow21 Jan 2023
- 2022Machine Learning for Electricity Market Clearing23 May 2022
6 more
- 2022Massively Digitized Power Grid: Opportunities and Challenges of Use-inspired AI10 May 2022
- 2022Sampling Strategies for Static Powergrid Models19 Apr 2022
- 2021Learning Optimization Proxies for Large-Scale Security-Constrained Economic Dispatch27 Dec 2021
- 2021Deep Reinforcement Learning for Optimal Power Flow with Renewables Using Graph Information22 Dec 2021
- 2021Ensuring DNN Solution Feasibility for Optimization Problems with Convex Constraints and Its Application to DC Optimal Power Flow Problems15 Dec 2021
- 2021Controlling Smart Inverters using Proxies: A Chance-Constrained DNN-based Approach2 May 2021
- 2021Learning Optimization Proxies for Large-Scale Security-Constrained Economic Dispatchcited by 29
- 2024PowerGraph: A power grid benchmark dataset for graph neural networkscited by 19
- 2023Compact Optimization Learning for AC Optimal Power Flowcited by 11
- 2021Ensuring DNN Solution Feasibility for Optimization Problems with Convex Constraints and Its Application to DC Optimal Power Flow Problemscited by 6
- 2022Massively Digitized Power Grid: Opportunities and Challenges of Use-inspired AIcited by 6
- 2021Controlling Smart Inverters using Proxies: A Chance-Constrained DNN-based Approachcited by 5
- 2023A Physics-Informed Machine Learning for Electricity Markets: A NYISO Case Studycited by 4
- 2024Power Flow Analysis Using Deep Neural Networks in Three-Phase Unbalanced Smart Distribution Gridscited by 3
- 2025A Survey of Physics-Informed AI for Complex Urban Systemscited by 2
- 2021Deep Reinforcement Learning for Optimal Power Flow with Renewables Using Graph Informationcited by 1
- 2022Sampling Strategies for Static Powergrid Modelscited by 1
- 2022Machine Learning for Electricity Market Clearingcited by 1
12 most cited of 18 All 18 (JSON)
- 2025Study Design and Demystification of Physics Informed Neural Networks for Power Flow Simulation23 Sep 2025
- 2025A Survey of Physics-Informed AI for Complex Urban Systems9 Jun 2025
- 2025Time and Frequency Domain-based Anomaly Detection in Smart Meter Data for Distribution Network Studies25 Apr 2025
- 2024Adaptive Informed Deep Neural Networks for Power Flow Analysis3 Dec 2024
- 2024Robust Deep Reinforcement Learning for Inverter-based Volt-Var Control in Partially Observable Distribution Networks13 Aug 2024
- 2024PowerGraph: A power grid benchmark dataset for graph neural networks5 Feb 2024
- 2024Power Flow Analysis Using Deep Neural Networks in Three-Phase Unbalanced Smart Distribution Grids15 Jan 2024
- 2023Optimal Power Flow in Highly Renewable Power System Based on Attention Neural Networks23 Nov 2023
- 2023Operational risk quantification of power grids using graph neural network surrogates of the DC OPF7 Nov 2023
- 2023A Physics-Informed Machine Learning for Electricity Markets: A NYISO Case Study31 Mar 2023
- 2023Compact Optimization Learning for AC Optimal Power Flow21 Jan 2023
- 2022Machine Learning for Electricity Market Clearing23 May 2022
12 newest of 18 All 18 (JSON)