Stability analysis of electromagnetic suspension systems coupled with flexible frames: Modeling, control, analysis and experimentation

Xiaohao Chen; Yi Cao; Miao Li; Attiq Ur Rehman; Junxiong Hu

doi:10.1016/j.isatra.2024.11.016

Stability analysis of electromagnetic suspension systems coupled with flexible frames: Modeling, control, analysis and experimentation

ISA Trans. 2024 Nov 10:S0019-0578(24)00526-3. doi: 10.1016/j.isatra.2024.11.016. Online ahead of print.

Authors

Xiaohao Chen¹, Yi Cao², Miao Li³, Attiq Ur Rehman⁴, Junxiong Hu⁵

Affiliations

¹ Key Laboratory of Intelligent Operation and Maintenance Technology and Equipment for Urban Rail Transit of Zhejiang Province, Zhejiang Normal University, Jinhua, Zhejiang, China; College of Engineering, Zhejiang Normal University, Jinhua, Zhejiang, China. Electronic address: [email protected].
² State Key Laboratory of Rail Transit Vehicle System, Southwest Jiaotong University, Chengdu, China. Electronic address: [email protected].
³ State Key Laboratory of Rail Transit Vehicle System, Southwest Jiaotong University, Chengdu, China. Electronic address: [email protected].
⁴ College of Engineering, Zhejiang Normal University, Jinhua, Zhejiang, China. Electronic address: [email protected].
⁵ Maglev Transportation Engineering R&D Center, Tongji University, Shanghai, China; State Key Laboratory of High-speed Maglev Transportation Technology, CRRC Qingdao Sifang Co., Ltd., Qingdao, China. Electronic address: [email protected].

PMID: 39547877
DOI: 10.1016/j.isatra.2024.11.016

Abstract

The stability of the suspension is a key challenge for the application and promotion of electromagnetic suspension technology, especially when it operates in conjunction with a flexible structure, which significantly increases the system's complexity. This paper abstracts the characteristics of the coupling conditions between an electromagnetic suspension system and a flexible structure and designs and constructs an experimental apparatus that includes an electromagnet and a simulated flexible structure with adjustable stiffness and inertia. Based on the Lyapunov method, the central manifold theorem, and the Poincaré method, the stability of the electromagnetic suspension system and the conditions for Hopf bifurcations are derived. Finally, through reasonable experimental design and data analysis, the correctness of the theoretical analysis conclusions is validated, providing references for the engineering applications of electromagnetic suspension systems.

Keywords: Bench experiment; Bifurcation; Electromagnetic suspension; Flexible frame; Stability analysis.