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Levitation Stability and Hopf Bifurcation of EMS Maglev Trains
Joint Authors
Ma, Weihua
Hu, Junxiong
Chen, Xiaohao
Luo, Shihui
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-04-07
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
This paper analyzed the mechanical characteristics of single electromagnet system and elastic track beam of EMS maglev train and established a five-dimensional dynamics model of single electromagnet-track beam coupled system with classical PD control strategy adopted for its levitation system.
Then, based on the Hurwitz criterion and the high-dimensional Hopf bifurcation theory, the stability of the coupled system is analyzed; the existence of the Hopf bifurcation is discussed and the bifurcation direction and the stability of the periodic solution are determined with levitation control feedback coefficient kp as the bifurcation parameter; and numerical simulation is conducted to verify the validity of the theoretical analysis results.
The results show that the Hurwitz algebra criterion can directly determine the eigenvalues and symbols of the dynamics system to facilitate the analysis on the stability of the system and the Hopf bifurcation without the necessity of calculating the specific eigenvalues; supercritical Hopf bifurcation will occur under the given parameters, that is, when kp
American Psychological Association (APA)
Hu, Junxiong& Ma, Weihua& Chen, Xiaohao& Luo, Shihui. 2020. Levitation Stability and Hopf Bifurcation of EMS Maglev Trains. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1194125
Modern Language Association (MLA)
Hu, Junxiong…[et al.]. Levitation Stability and Hopf Bifurcation of EMS Maglev Trains. Mathematical Problems in Engineering No. 2020 (2020), pp.1-12.
https://search.emarefa.net/detail/BIM-1194125
American Medical Association (AMA)
Hu, Junxiong& Ma, Weihua& Chen, Xiaohao& Luo, Shihui. Levitation Stability and Hopf Bifurcation of EMS Maglev Trains. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-12.
https://search.emarefa.net/detail/BIM-1194125
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1194125