Improving Spatial Allocation for Energy System Coupling with Graph Neural Networks

Xuanhao Mu, Jakob Geiges, Nan Liu, Thorsten Schlachter, Veit Hagenmeyer
2/24/2026
cs.LGeess.SY

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Abstract

In energy system analysis, coupling models with mismatched spatial resolutions is a significant challenge. A common solution is assigning weights to high-resolution geographic units for aggregation, but traditional models are limited by using only a single geospatial attribute. This paper presents an innovative method employing a self-supervised Heterogeneous Graph Neural Network to address this issue. This method models high-resolution geographic units as graph nodes, integrating various geographical features to generate physically meaningful weights for each grid point. These weights enhance the conventional Voronoi-based allocation method, allowing it to go beyond simply geographic proximity by incorporating essential geographic information.In addition, the self-supervised learning paradigm overcomes the lack of accurate ground-truth data. Experimental results demonstrate that applying weights generated by this method to cluster-based Voronoi Diagrams significantly enhances scalability, accuracy, and physical plausibility, while increasing precision compared to traditional methods.

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@article{mu2026improving,
  title  = {Improving Spatial Allocation for Energy System Coupling with Graph Neural Networks},
  author = {Xuanhao Mu and Jakob Geiges and Nan Liu and Thorsten Schlachter and Veit Hagenmeyer},
  year   = {2026},
  eprint = {2602.22249},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2602.22249v1}
}

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