mlsanityData to 7 Oct 2026

Real-time Power System State Estimation and Forecasting via Deep Neural Networks

arXiv 1811.06146 ↗First posted 15 Nov 2018cs.LG stat.MLcited by 32

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Abstract (arXiv)

Contemporary power grids are being challenged by rapid voltage fluctuations that are caused by large-scale deployment of renewable generation, electric vehicles, and demand response programs. In this context, monitoring the grid's operating conditions in real time becomes increasingly critical. With the emergent large scale and nonconvexity however, the existing power system state estimation (PSSE) schemes become computationally expensive or yield suboptimal performance. To bypass these hurdles, this paper advocates deep neural networks (DNNs) for real-time power system monitoring. By unrolling an iterative physics-based prox-linear solver, a novel model-specific DNN is developed for real-time PSSE with affordable training and minimal tuning effort. To further enable system awareness even ahead of the time horizon, as well as to endow the DNN-based estimator with resilience, deep recurrent neural networks (RNNs) are also pursued for power system state forecasting. Deep RNNs leverage the long-term nonlinear dependencies present in the historical voltage time series to enable forecasting, and they are easy to implement. Numerical tests showcase improved performance of the proposed DNN-based estimation and forecasting approaches compared with existing alternatives. In real load data experiments on the IEEE 118-bus benchmark system, the novel model-specific DNN-based PSSE scheme outperforms nearly by an order-of-magnitude the competing alternatives, including the widely adopted Gauss-Newton PSSE solver.

Key facts. Cited by 32 papers in the map (data through 7 Oct 2026). First posted on arXiv 15 Nov 2018.

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Citing papers per year: 2021: 10; 2022: 10; 2023: 5; 2024: 1; 2025: 4; 2026: 2.

32 papers.

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  2. 2021Learning to Solve the AC-OPF using Sensitivity-Informed Deep Neural Networkscited by 26
  3. 2022Theoretical Perspectives on Deep Learning Methods in Inverse Problemscited by 22
  4. 2021Physics-Informed Graphical Neural Network for Parameter & State Estimations in Power Systemscited by 21
  5. 2021Power to the Relational Inductive Bias: Graph Neural Networks in Electrical Power Gridscited by 18
  6. 2021Reliably-stabilizing piecewise-affine neural network controllerscited by 13
  7. 2022Multiscale Neural Operator: Learning Fast and Grid-independent PDE Solverscited by 12
  8. 2022State Estimation in Electric Power Systems Leveraging Graph Neural Networkscited by 11
  9. 2021Distributionally Robust Semi-Supervised Learning Over Graphscited by 9
  10. 2023Deep Statistical Solver for Distribution System State Estimationcited by 9
  11. 2021Embedding Power Flow into Machine Learning for Parameter and State Estimationcited by 6
  12. 2023Physics-Informed Neural Networks for Accelerating Power System State Estimationcited by 5
20 more
  1. 2021Two-Stage Stochastic Optimization via Primal-Dual Decomposition and Deep Unrollingcited by 4
  2. 2022Attention-based Deep Neural Networks for Battery Discharge Capacity Forecastingcited by 4
  3. 2022Distributed Nonlinear State Estimation in Electric Power Systems using Graph Neural Networkscited by 4
  4. 2025Robust Power System State Estimation using Physics-Informed Neural Networkscited by 4
  5. 2023Optimization Guarantees of Unfolded ISTA and ADMM Networks With Smooth Soft-Thresholdingcited by 3
  6. 2025PowerGNN: A Topology-Aware Graph Neural Network for Electricity Gridscited by 3
  7. 2021Deep Learning for Intelligent Demand Response and Smart Grids: A Comprehensive Surveycited by 2
  8. 2022Near Real-Time Distributed State Estimation via AI/ML-Empowered 5G Networkscited by 2
  9. 2025A Survey of Physics-Informed AI for Complex Urban Systemscited by 2
  10. 2021Knowledge- and Data-driven Services for Energy Systems using Graph Neural Networkscited by 1
  11. 2022Robust stabilization of polytopic systems via fast and reliable neural network-based approximationscited by 1
  12. 2022Towards Practical Physics-Informed ML Design and Evaluation for Power Gridcited by 1
  13. 2022Robust and Fast Data-Driven Power System State Estimator Using Graph Neural Networkscited by 1
  14. 2023Graph Neural Networks on Factor Graphs for Robust, Fast, and Scalable Linear State Estimation with PMUscited by 1
  15. 2022Fast Transient Stability Prediction Using Grid-informed Temporal and Topological Embedding Deep Neural Networkcited by 0
  16. 2023Scalability and Sample Efficiency Analysis of Graph Neural Networks for Power System State Estimationcited by 0
  17. 2024Resilient Temporal GCN for Smart Grid State Estimation Under Topology Inaccuraciescited by 0
  18. 2025DLMMPR:Deep Learning-based Measurement Matrix for Phase Retrievalcited by 0
  19. 2026Learning Without Adversarial Training: A Physics-Informed Neural Network for Secure Power System State Estimation under False Data Injection Attackscited by 0
  20. 2026Graph Transfer Learning via Shared Latent Geometry: Theory and Applicationscited by 0