Application of Graph Neural Networks for Calculating Steady-State Modes of Electrical Power Systems

Authors

  • Vladimir Anatol'evich Surin South Ural State University, Chelyabinsk
  • Sergey Eduardovich Ivanov South Ural State University, Chelyabinsk
  • Maksim Eduardovich Ivanov South Ural State University, Chelyabinsk
  • Maksim Eduardovich Ivanov South Ural State University, Chelyabinsk
  • Valeriy Ivanovich Safonov South Ural State University, Chelyabinsk
  • Sergey Pavlovich Kulik South Ural State University, Chelyabinsk
  • Nikolay Vladimirovich Maletin South Ural State University, Chelyabinsk

DOI:

https://doi.org/10.14529/mmph260205

Keywords:

Graph neural networks, power flow problem, synthetic data, solution existence region

Abstract

This paper considers the application of graph neural networks for solving the problem of calculating steady-state modes of electrical power systems. A mathematical formulation based on representing the power system as a graph is proposed, and a model architecture combining local regression of node parameters and global classification of mode stability is developed. Synthetic data generated based on a standard test scheme were used for training. The conducted computational experiments demonstrated high accuracy in approximating the mode parameters. The obtained results confirm the promising potential of applying graph neural networks for accelerated analysis of electrical power system modes.

Author Biographies

Vladimir Anatol'evich Surin, South Ural State University, Chelyabinsk

Cand. Sc. (Engineering), Associate Professor at the Center of Excellence in AI, “VirtUm” – a Top-Tier Educational Program

Sergey Eduardovich Ivanov, South Ural State University, Chelyabinsk

Undergraduate Student, Department of Applied Mathematics and Programming

Maksim Eduardovich Ivanov, South Ural State University, Chelyabinsk

Undergraduate Student, Department of Applied Mathematics and Programming

Maksim Eduardovich Ivanov, South Ural State University, Chelyabinsk

Undergraduate Student, Department of Applied Mathematics and Programming

Valeriy Ivanovich Safonov, South Ural State University, Chelyabinsk

Cand. Sc. (Physics and Mathematics), Associate Professor of the Department Electric Power Generation Stations

Sergey Pavlovich Kulik, South Ural State University, Chelyabinsk

Dr. Sc. (Physics and Mathematics), Principal Researcher of the Research & Innovation Services

Nikolay Vladimirovich Maletin, South Ural State University, Chelyabinsk

Researcher, Research & Innovation Services

Published

2026-05-29

Issue

Section

Mathematics