Physics-informed GNN for medium-high voltage AC power flow with edge-aware attention and line search correction operator
Fast, accurate AC power flow with edge-aware physics and an inference-time correction loop.
For grid planners and operators, AC power-flow solves must be both fast and precise. This physics-informed GNN (PIGNN-Attn-LS) advances both fronts by baking line physics into the model via edge-aware attention and reintroducing an operative decrease criterion at inference using a backtracking line-search correction operator.
The edge-aware attention injects per-edge biases that capture grid anisotropy, improving fidelity across diverse topologies. The line-search correction, applied post-prediction, ensures stability and accuracy without relying on training-time physics losses alone—a practical step toward operational adoption where guarantees matter.
Trained and tested on a realistic High-/Medium-Voltage scenario generator (with Newton–Raphson used only to build references), the method delivers standout results on held-out HV cases (4–32 buses): voltage RMSE 0.00033 p.u. and angle error 0.08°, beating a PIGNN-MLP baseline by 99.5% and 87.1%, respectively. In streaming micro-batches, it achieves 2–5× faster batched inference than Newton–Raphson across 4–1024-bus grids.
Why it matters: the approach combines the speed of learned solvers with safeguards reminiscent of classical numerics—bridging the gap between ML prototypes and dependable engineering tools. It is especially relevant for scenario screening, contingency analysis, and real-time operations where thousands of solves are routine.
Next steps could include uncertainty calibration, hybrid initialization for stressed grids, and integration with state estimation.
Paper: http://arxiv.org/abs/2509.22458v1
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