arXiv AI By Carmine Delle Femine, Leire Garin Atxaga, Asier Diaz-Iglesias, Juan Pablo Maroto Herrera, Ane Miren Florez-Tapia, Marco Quartulli, Izaro Goienetxea Urziku

Hierarchical GNNs for power flow: letting physics shape the hierarchy

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The paper presents a hierarchical graph neural network (GNN) approach for power‑flow modeling that leverages physics‑informed graph reductions. By exchanging information through two reduced graphs within the corrective network of GENCO, the model achieves superior generalization across three grid topologies and new operating scenarios, outperforming both the flat baseline and a Quotient construction. Training required only about 200 epochs and fewer than 1,900 scenarios per grid, yet the hierarchical models achieved a macro family‑balanced voltage error of 0.851±0.110, a 51.3% improvement over the per‑bus mean fitted on training solutions.

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