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Research Article | Open Access

Cooperative traction control of multi-motor electric locomotives considering axle load transfer

Liran Li1Simo Chen2Kan Liu3( )Leiting Zhao4Xiaoming Liao5
AC Transmission Department, China Academy of Railway Sciences Corporation Limited, Beijing, China
Department of AC-Transmission Development, China Academy of Railway Sciences Corporation Limited, Beijing, China
China Academy of Railway Sciences Corporation Limited, Locomotive and Car Research Institute, Beijing, China
Department of AC Transmission, China Academy of Railway Sciences Corporation Limited, Beijing, China
China Academy of Railway Sciences Corporation Limited, Beijing, China
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Abstract

Purpose

This study aims to propose a cooperative adhesion control method for multi-motor electric locomotives that explicitly considers axle load transfer (ALT). The method is intended to optimize the output torque of each motor, maximize the utilization of available wheel-rail adhesion within the total torque command, mitigate wheel skidding and sliding phenomena, and achieve optimal torque allocation across all axles.

Design/methodology/approach

An advanced cooperative maximum adhesion tracking control strategy is developed using Model Predictive Control (MPC). First, a comprehensive multi-agent dynamic model of the locomotive traction system is constructed based on Newton’s second law, which incorporates longitudinal train dynamics, individual axle rotational dynamics, nonlinear wheel-rail adhesion characteristics, and dynamic ALTinduced load redistribution. Then, a novel MPC-based multi-axle co-optimization method is presented. This controller calculates the optimal output torque through real-time iteration based on a reference slip speed, ensuring coordinated torque allocation under strict physical constraints imposed by the traction control unit.

Findings

Simulation studies conducted under dry, wet, and mixed rail surface conditions indicate that the proposed MPC system effectively compensates for ALT. The results demonstrate that explicitly embedding ALT into the control framework allows the system to adaptively redistribute motor torques according to real-time axle loads. This guarantees stable slip regulation and significantly improves overall traction performance and power distribution compared to conventional strategies that ignore ALT.

Originality/value

This study introduces a novel cooperative adhesion tracking control scheme that uniquely integrates axle load transfer into a multi-agent MPC for multi-motor electric locomotives–a complex configuration rarely addressed in previous papers. This approach resolves the critical issues of torque imbalance, lightly loaded axle slip, and heavily loaded axle under-utilization, offering significant theoretical and practicalvalue, especially under variable and non-uniform rail conditions.

References

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Railway Sciences
Pages 566-580

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Cite this article:
Li L, Chen S, Liu K, et al. Cooperative traction control of multi-motor electric locomotives considering axle load transfer. Railway Sciences, 2026, 5(4): 566-580. https://doi.org/10.1108/RS-04-2026-0031

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Received: 21 April 2026
Revised: 20 May 2026
Accepted: 26 May 2026
Published: 01 August 2026
© Liran Li, Simo Chen, Kan Liu, Leiting Zhao and Xiaoming Liao. Published in Railway Sciences.

This article is published under the Creative Commons Attribution (CC BY 4.0) licence. Anyone may reproduce, distribute, translate and create derivative works of this article (for both commercial and non-commercial purposes), subject to full attribution to the original publication and authors. The full terms of this licence may be seen at http://creativecommons.org/licences/by/4.0/