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Title: An integrated toroidal winding design for open-winding magnetless vernier reluctance linear machine in long-stroke module
Authors: Li, Z 
Niu, S 
Jiang, M 
Lyu, Z 
Liu, W 
Chau, KT 
Issue Date: Feb-2026
Source: IEEE transactions on industrial electronics, Feb. 2026, v. 73, no. 2, p. 2779-2790
Abstract: Vernier reluctance linear machines (VRLM), taking advantage of controllable magnetic field, simple structure, and low consumption of rare-earth material, are promising actuators for long stroke applications in industrial processing field. However, due to the limited excitation, this machine exhibits limited force density with redundant field winding, which hinders its wider application. Aiming to eliminate dc coils, simplify manufacturing process, and strengthen its load capacity, an integrated toroidal winding design excited by zero-sequence current is proposed for VRLM in this article. The key is to compare different arrangements of excitations to boost the contents of working harmonics, make better use of modulated harmonics, and select a proper gear ratio. Driven by integrated toroidal winding, the slot utilization of VRLM is improved, and the manufacturing process of the machine is significantly simplified. In this article, winding arrangements of VRLM and its working mechanism are analyzed, along with some design guidelines, including slot-pole combinations, geometric dimensions, etc. Finally, the prototype is built for performance evaluation and experimental verification.
Keywords: Integrated toroidal winding (ITW)
Long stroke application
Vernier reluctance linear machine (VRLM)
Publisher: Institute of Electrical and Electronics Engineers
Journal: IEEE transactions on industrial electronics 
ISSN: 0278-0046
EISSN: 1557-9948
DOI: 10.1109/TIE.2025.3595982
Rights: © 2025 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
The following publication Z. Li, S. Niu, M. Jiang, Z. Lyu, W. Liu and K. T. Chau, "An Integrated Toroidal Winding Design for Open-Winding Magnetless Vernier Reluctance Linear Machine in Long-Stroke Module," in IEEE Transactions on Industrial Electronics, vol. 73, no. 2, pp. 2779-2790, Feb. 2026 is available at https://doi.org/10.1109/TIE.2025.3595982.
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