Solving AC Power Flow with Graph Neural Networks under Realistic Constraints

Luis Böttcher, Hinrikus Wolf, Bastian Jung, Philipp Lutat, Marc Trageser, Oliver Pohl, Andreas Ulbig, Martin Grohe

In this paper we propose a graph neural network architecture solving the AC power flow problem under realistic constraints. While the energy transition is changing the energy industry to a digitalized and decentralized energy system, the challenges are increasingly shifting to the distribution grid level to integrate new loads and generation technologies. To ensure a save and resilient operation of distribution grids, AC power flow calculations are the means of choice to determine grid operating limits or analyze grid asset utilization in planning procedures. In our approach we demonstrate the development of a framework which makes use of graph neural networks to learn the physical constraints of the power flow. We present our model architecture on which we perform unsupervised training to learn a general solution of the AC power flow formulation that is independent of the specific topologies and supply tasks used for training. Finally, we demonstrate, validate and discuss our results on medium voltage benchmark grids.

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