mlsanityData to 14 Oct 2026

KCLNet: Physics-Informed Power Flow Prediction via Constraints Projections

arXiv 2506.12902 ↗First posted 15 Jun 2025cs.AI cs.SY eess.SYcited by 4

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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

  1. 2021How Attentive are Graph Attention Networks?cited by 835
  2. 2019Lift & Learn: Physics-informed machine learning for large-scale nonlinear dynamical systemscited by 96
  3. 2021Modeling the AC Power Flow Equations with Optimally Compact Neural Networks: Application to Unit Commitmentcited by 17
  4. 2017Data-Driven Power Flow Linearization: A Regression Approachcited by 11
  5. 2018Fast Power system security analysis with Guided Dropoutcited by 6
  6. 2014On the Randomized Kaczmarz Algorithmcited by 5
  7. 2024Robustness Analysis of AI Models in Critical Energy Systemscited by 1

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Cited by year (2026 to 14 Oct)

Citing papers per year: 2025: 1; 2026: 3.

4 papers.