KCLNet: Physics-Informed Power Flow Prediction via Constraints Projections
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Abstract (arXiv)
In the modern context of power systems, rapid, scalable, and physically plausible power flow predictions are essential for ensuring the grid's safe and efficient operation. While traditional numerical methods have proven robust, they require extensive computation to maintain physical fidelity under dynamic or contingency conditions. In contrast, recent advancements in artificial intelligence (AI) have significantly improved computational speed; however, they often fail to enforce fundamental physical laws during real-world contingencies, resulting in physically implausible predictions. In this work, we introduce KCLNet, a physics-informed graph neural network that incorporates Kirchhoff's Current Law as a hard constraint via hyperplane projections. KCLNet attains competitive prediction accuracy while ensuring zero KCL violations, thereby delivering reliable and physically consistent power flow predictions critical to secure the operation of modern smart grids.
Key facts. Cited by 4 papers in the map (data through 14 Oct 2026). Builds on 7 of its 25 references that are in the map. First posted on arXiv 15 Jun 2025.
Builds on
7 of 25 references.
References · 7
- 2021How Attentive are Graph Attention Networks?cited by 835
- 2019Lift & Learn: Physics-informed machine learning for large-scale nonlinear dynamical systemscited by 96
- 2021Modeling the AC Power Flow Equations with Optimally Compact Neural Networks: Application to Unit Commitmentcited by 17
- 2017Data-Driven Power Flow Linearization: A Regression Approachcited by 11
- 2018Fast Power system security analysis with Guided Dropoutcited by 6
- 2014On the Randomized Kaczmarz Algorithmcited by 5
- 2024Robustness Analysis of AI Models in Critical Energy Systemscited by 1
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Citing papers per year: 2025: 1; 2026: 3.
4 papers.
- 2026Residual Power Flow for Neural Solverscited by 1
- 2026Physics Informed Reinforcement Learning with Gibbs Priors for Topology Control in Power Gridscited by 1
- 2025Test Time Training for AC Power Flow Surrogates via Physics and Operational Constraint Refinementcited by 0
- 2026Differentiable Power-Flow Optimizationcited by 0
- 2026Physics Informed Reinforcement Learning with Gibbs Priors for Topology Control in Power Grids2 Apr 2026
- 2026Differentiable Power-Flow Optimization30 Mar 2026
- 2026Residual Power Flow for Neural Solvers14 Jan 2026
- 2025Test Time Training for AC Power Flow Surrogates via Physics and Operational Constraint Refinement27 Nov 2025