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JOURNALS // Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie // Archive

Vestnik YuUrGU. Ser. Mat. Model. Progr., 2024 Volume 17, Issue 4, Pages 22–31 (Mi vyuru735)

Mathematical Modelling

Kolmogorov–Arnold neural networks technique for the state of charge estimation for Li-ion batteries

M. H. Daoa, F. Liub, D. N. Sidorovacd

a Irkutsk National Research Technical University, Irkutsk, Russian Federation
b Central South University, Changsha, China
c Melentiev Energy Systems Institute of Siberian Branch of the Russian Academy of Sciences, Irkutsk, Russian Federation
d Harbin Institute of Technology, Harbin, China

Abstract: Kolmogorov–Arnold Network (KAN) is an advanced type of neural network developed based on the Kolmogorov–Arnold representation theorem, offering a new approach in the field of machine learning. Unlike traditional neural networks that use linear weights, KAN applies univariate functions parameterized by splines, allowing it to flexibly capture and learn complex activation patterns more effectively. This flexibility not only enhances the model's predictive capability but also helps it handle complex issues more effectively. In this study, we propose KAN as a potential method to accurately estimate the state of charge (SoC) in energy storage devices. Experimental results show that KAN has a lower maximum error compared to traditional neural networks such as LSTM and FNN, demonstrating that KAN can predict more accurately in complex situations. Maintaining a low maximum error not only reflects KAN's stability but also shows its potential in applying deep learning technology to estimate SoC more accurately, thereby providing a more robust approach for energy management in energy storage systems.

Keywords: state of charge (SoC), Kolmogorov–Arnold networks, energy storage, neural network.

UDC: 519.246.8+681.11.031.1

MSC: 68T07, 68W25

Received: 30.09.2024

Language: English

DOI: 10.14529/mmp240402



© Steklov Math. Inst. of RAS, 2025