Self-Supervised Graph Neural Networks for Optimal Substation Reconfiguration

Fuente: arXiv
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Auteurs principaux: Martinez, Antoine, Donon, Balthazar, Wehenkel, Louis, Karangelos, Efthymios
Format: Preprint
Publié: 2026
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author Martinez, Antoine
Donon, Balthazar
Wehenkel, Louis
Karangelos, Efthymios
author_facet Martinez, Antoine
Donon, Balthazar
Wehenkel, Louis
Karangelos, Efthymios
contents Changing the transmission system topology is an efficient and costless lever to reduce congestion or increase exchange capacities. The problem of finding the optimal switch states within substations is called Optimal Substation Reconfiguration (OSR), and may be framed as a Mixed Integer Linear Program (MILP). Current state-of-the-art optimization techniques come with prohibitive computing times, making them impractical for real-time decision-making. Meanwhile, deep learning offers a promising perspective with drastically smaller computing times, at the price of an expensive training phase and the absence of optimality guarantees. In this work, we frame OSR as an Amortized Optimization problem, where a Graph Neural Network (GNN) model -- our data being graphs -- is trained in a self-supervised way to improve the objective function. We apply our approach to the maximization of the exchange capacity between two areas of a small-scale 12-substations system. Once trained, our GNN model improves the exchange capacity by 10.2% on average compared to the all connected configuration, while a classical MILP solver reaches an average improvement of 15.2% with orders-of-magnitude larger computing times.
format Preprint
id arxiv_https___arxiv_org_abs_2603_23401
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Self-Supervised Graph Neural Networks for Optimal Substation Reconfiguration
Martinez, Antoine
Donon, Balthazar
Wehenkel, Louis
Karangelos, Efthymios
Systems and Control
Changing the transmission system topology is an efficient and costless lever to reduce congestion or increase exchange capacities. The problem of finding the optimal switch states within substations is called Optimal Substation Reconfiguration (OSR), and may be framed as a Mixed Integer Linear Program (MILP). Current state-of-the-art optimization techniques come with prohibitive computing times, making them impractical for real-time decision-making. Meanwhile, deep learning offers a promising perspective with drastically smaller computing times, at the price of an expensive training phase and the absence of optimality guarantees. In this work, we frame OSR as an Amortized Optimization problem, where a Graph Neural Network (GNN) model -- our data being graphs -- is trained in a self-supervised way to improve the objective function. We apply our approach to the maximization of the exchange capacity between two areas of a small-scale 12-substations system. Once trained, our GNN model improves the exchange capacity by 10.2% on average compared to the all connected configuration, while a classical MILP solver reaches an average improvement of 15.2% with orders-of-magnitude larger computing times.
title Self-Supervised Graph Neural Networks for Optimal Substation Reconfiguration
topic Systems and Control
url https://arxiv.org/abs/2603.23401