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Physics-Informed Neural Networks for Power Systems

arXiv 1911.03737 ↗First posted 9 Nov 2019eess.SY cs.LG cs.SYcited by 80

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Abstract (arXiv)

This paper introduces for the first time, to our knowledge, a framework for physics-informed neural networks in power system applications. Exploiting the underlying physical laws governing power systems, and inspired by recent developments in the field of machine learning, this paper proposes a neural network training procedure that can make use of the wide range of mathematical models describing power system behavior, both in steady-state and in dynamics. Physics-informed neural networks require substantially less training data and can result in simpler neural network structures, while achieving high accuracy. This work unlocks a range of opportunities in power systems, being able to determine dynamic states, such as rotor angles and frequency, and uncertain parameters such as inertia and damping at a fraction of the computational time required by conventional methods. This paper focuses on introducing the framework and showcases its potential using a single-machine infinite bus system as a guiding example. Physics-informed neural networks are shown to accurately determine rotor angle and frequency up to 87 times faster than conventional methods.

Key facts. Cited by 80 papers in the map (data through 14 Oct 2026). First posted on arXiv 9 Nov 2019.

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Citing papers per year: 2021: 12; 2022: 22; 2023: 8; 2024: 17; 2025: 14; 2026: 7.

80 papers.

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  1. 2022Scientific Machine Learning through Physics-Informed Neural Networks: Where we are and What's nextcited by 608
  2. 2024DiffusionPDE: Generative PDE-Solving Under Partial Observationcited by 108
  3. 2022Physics-Informed Machine Learning: A Survey on Problems, Methods and Applicationscited by 92
  4. 2024From PINNs to PIKANs: Recent Advances in Physics-Informed Machine Learningcited by 73
  5. 2021Physics-Informed Neural Networks for AC Optimal Power Flowcited by 54
  6. 2021Physics informed neural networks for continuum micromechanicscited by 46
  7. 2024Adaptive Training of Grid-Dependent Physics-Informed Kolmogorov-Arnold Networkscited by 38
  8. 2024Finite basis Kolmogorov-Arnold networks: domain decomposition for data-driven and physics-informed problemscited by 35
  9. 2021Physics-informed Convolutional Neural Networks for Temperature Field Prediction of Heat Source Layout without Labeled Datacited by 31
  10. 2021DAE-PINN: A Physics-Informed Neural Network Model for Simulating Differential-Algebraic Equations with Application to Power Networkscited by 28
  11. 2024Foundation Models for the Electric Power Gridcited by 28
  12. 2021Learning to Solve the AC-OPF using Sensitivity-Informed Deep Neural Networkscited by 26
38 more
  1. 2021Physics-Informed Neural Networks for Minimising Worst-Case Violations in DC Optimal Power Flowcited by 23
  2. 2022Learning Physics-Informed Neural Networks without Stacked Back-propagationcited by 23
  3. 2021Physics-Informed Graphical Neural Network for Parameter & State Estimations in Power Systemscited by 21
  4. 2023Stacked networks improve physics-informed training: applications to neural networks and deep operator networkscited by 21
  5. 2022Finite Element Method-enhanced Neural Network for Forward and Inverse Problemscited by 13
  6. 2023On Approximating the Dynamic Response of Synchronous Generators via Operator Learning: A Step Towards Building Deep Operator-based Power Grid Simulatorscited by 13
  7. 2023Physics-Informed Neural Networks for Time-Domain Simulations: Accuracy, Computational Cost, and Flexibilitycited by 13
  8. 2023A multifidelity approach to continual learning for physical systemscited by 13
  9. 2021Predicting Basin Stability of Power Grids using Graph Neural Networkscited by 11
  10. 2022Physical Activation Functions (PAFs): An Approach for More Efficient Induction of Physics into Physics-Informed Neural Networks (PINNs)cited by 10
  11. 2022Thermodynamics of learning physical phenomenacited by 10
  12. 2022Spectrally Adapted Physics-Informed Neural Networks for Solving Unbounded Domain Problemscited by 9
  13. 2022Closing the Loop: A Framework for Trustworthy Machine Learning in Power Systemscited by 9
  14. 2023PINNSim: A Simulator for Power System Dynamics based on Physics-Informed Neural Networkscited by 9
  15. 2024Leveraging viscous Hamilton-Jacobi PDEs for uncertainty quantification in scientific machine learningcited by 9
  16. 2022Neural Q-learning for solving PDEscited by 8
  17. 2024Fast meta-solvers for 3D complex-shape scatterers using neural operators trained on a non-scattering problemcited by 8
  18. 2025VideoPDE: Unified Generative PDE Solving via Video Inpainting Diffusion Modelscited by 8
  19. 2024Learning Hamiltonian neural Koopman operator and simultaneously sustaining and discovering conservation lawcited by 7
  20. 2022Gradient-Enhanced Physics-Informed Neural Networks for Power Systems Operational Supportcited by 6
  21. 2024Space and Time Continuous Physics Simulation From Partial Observationscited by 6
  22. 2024NeuroSEM: A hybrid framework for simulating multiphysics problems by coupling PINNs and spectral elementscited by 6
  23. 2024Spectral Informed Neural Network: An Efficient and Low-Memory PINNcited by 6
  24. 2021Transient Stability Analysis with Physics-Informed Neural Networkscited by 5
  25. 2024Neural networks for bifurcation and linear stability analysis of steady states in partial differential equationscited by 5
  26. 2025A Conformal Prediction Framework for Uncertainty Quantification in Physics-Informed Neural Networkscited by 5
  27. 2022Toward Dynamic Stability Assessment of Power Grid Topologies using Graph Neural Networkscited by 4
  28. 2022Learning Modular Simulations for Homogeneous Systemscited by 4
  29. 2023A Generalizable Physics-informed Learning Framework for Risk Probability Estimationcited by 4
  30. 2025Robust Power System State Estimation using Physics-Informed Neural Networkscited by 4
  31. 2022Deep neural networks for smooth approximation of physics with higher order and continuity B-spline base functionscited by 3
  32. 2022Minimizing Worst-Case Violations of Neural Networkscited by 3
  33. 2022Towards dynamic stability analysis of sustainable power grids using graph neural networkscited by 3
  34. 2024Element-wise Multiplication Based Deeper Physics-Informed Neural Networkscited by 3
  35. 2024Learning To Solve Differential Equation Constrained Optimization Problemscited by 3
  36. 2024Generalizable Physics-Informed Learning for Stochastic Safety-Critical Systemscited by 2
  37. 2025Physics-Informed Diffusion Models for Unsupervised Anomaly Detection in Multivariate Time Seriescited by 2
  38. 2021Which Neural Network to Choose for Post-Fault Localization, Dynamic State Estimation and Optimal Measurement Placement in Power Systems?cited by 1

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