A fast dynamic model of a two-sided permanent magnet electrodynamic suspension system in a maglev train

Abstract

In vehicle dynamics research, a dynamics model is essential, as it provides the basis for the demonstration of early system design of vehicle as well as the verification and optimization of the dynamics performance of the final product. To promote the development of a permanent magnet (PM) Electrodynamic Suspension (EDS) in a maglev train, research was carried out in order to explore a fast dynamics modeling, with suspension system based on two-sided PM. First of all, a halbach array was taken as the object of study, with the analytical solution of its magnetic force obtained by theoretical derivation according to magnet filed and 2D analytical method; then, the magnetic force was discretized into a data matrix of displacement, force, and speed; thirdly, the data matrix was introduced in SIMPACK to establish a magnet-track relationship in scalar form, and a dynamics model of the two-sided PM EDS maglev system was finished by the theory of multi-body dynamics modeling; finally, the proposed modeling was validated by the agreement between theoretical derivation and dynamics model calculation of the heaving frequency and pitching frequency of the frame; at the same time, it was also validated by the agreement of dynamic responses between the modeling by vehicle-track coupled dynamics theory and the dynamic model calculation of the levitation gap and force. According to the established dynamics model, dynamic response of the system at the speed of 600 km/h was calculated, and the feasibility of the two-sided PM EDS maglev train was verified. The simulation speed of model which was established before is 50 times that of the mathematical model by the vehicle-track coupled dynamics, thus providing reference for the future research in this regard.

Keywords

Electrodynamic suspension system dynamics modeling magnet-track relationship two-sided levitation permanent magnet

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References

Sun

Qin

Dong

. Research on development and prospects of maglev transportation and suggestions to China. World Sci-Tech R&D 2019; 41(2): 109–119.

Zhao

Zhai

. Dynamics of maglev vehicle/guideway systems (-)--modeling and simulation. Chinese J Mechan Eng 2005; 41(8): 163–163.

Zhai

Zhao

. Dynamics of maglev vehicle/guideway systems(i)--magnet/rail interaction and system stability. Chinese J Mech Eng 2005; 41(7): 1–10.

Luo

Deng

. Study on key technologies and whole speed range application of maglev rail transport. J China Rail Soc 2019; 41(3): 40–49.

Zhou

, et al. Self-excited vibration problems of maglev vehicle-bridge interaction system. J Cen Sou Uni 2014; 21(11): 4184–4192.

Tum

Huhn

Harbeke

. Design and Development of the Transrapid TR09. In: International conference on magnetically levitated systems and linear drives: 19th: 2006: Dresden, Germany. Dresden, Germany: The University; 2006. pp. 13–15.

Yonezu

Bai

. Research on characteristics of magnetic springs for guidance of superconducting maglev trains. Foreign Rolling Stock 2020; 57(1): 11–16.

Yang

Wang

, et al. research development of superconducting maglev transportation. J South China University Technol (Natural Science Edition) 2019; 47(7): 68–74.

Gao

. Analysis and optimization of anti-rolling device for medium and low speed maglev vehicle [dissertation]. Chengdu, Sichuan: Southwest Jiaotong University, 2019, pp. 13–18.

10.

Bachmann

Niemitz

. The automatic train control and safety technology of the M-Bahn public transit system. IFAC Proc Volumes 1986. 1987; 20(3): 273–279.

11.

Zhang

Liu

. American Magplane Schemes. Converter Technology & Electric Traction 2005; 5: 40–43.

12.

Qiao

Lei

, et al. Simulation analysis of permanent magnet passive damping method based on Halbach array. Machinery 2021; 48(5): 29–36.

13.

Post

Ryutov

. The inductrack: a simpler approach to magnetic levitation. IEEE Transactions on Appiled Superconductivity 2000; 10(1): 901–904.

14.

Deng

Liu

Zhang

. Development status and prospect of maglev train. Journal of Southwest Jiaotong University 2022; 57(3): 455–474.

15.

Wang

Luo

Wang

, et al. Influence of different magnet-track relationship on vertical dynamic performance of medium-low speed maglev vehicles. Electric Drive Locomotives 2019; 5: 82–86.

16.

Wang

Luo

Sun

, et al. Coherence analysis between vehicle vibration response of ems maglev vehicles and track irregularities. Electric Drive Locomotives 2020; 2: 113–117.

17.

Liang

. Comparative analysis of two kinds of magnet-track relationship of maglev vehicle and guideway interaction. J Rail Sci Eng 2017; 14(4): 845–851.

18.

Chen

Zhang

Bird

, et al. A 3-D analytic-based model of a null-flux halbach array electrodynamic suspension device. IEEE Transac Magnetics 2015; 51(11): 1–5.

19.

Bird

Lipo

. Modeling the 3-D rotational and translational motion of a halbach rotor above a split-sheet guideway. IEEE Transac Magnetics 2009; 45(9): 3233–3242.

20.

Cheng

Han

, et al. Simulation and performance of permanent magnet electric suspension based on Halbach array. J Magnetic Mater Devices 2021; 3: 8–13.

21.

Wang

, et al. Optimization design of linear halbach array. In: Proceedings of the 11th international conference on electrical machines and systems, Wu Han, CHN, 17–20 October 2008.

22.

Choi

Yoo

. Design of a Halbach magnet array based on optimization techniques. IEEE Transactions on Magnetics 2008; 44(10): 2361–2366.

23.

Wang

Jin

. International Conference on Electrical Machines & Systems. In: ICEMS2003: Proceedings of the Sixth International Conference on Electrical Machines and systems, Beijing, China: IEEE, 2004, November 9-11, 2003 (pp. 941–943).

24.

Cheng

Long

. Vertical dynamic stability analysis of EDS levitation systems based on halbach magnet arrays. In: IEEE Industrial Electronics (IE). Gui Lin, CHN, 2009, pp. 17-20.

25.

Chen

Zhang

. Electromagnetic force calculation of conductor plate double halbach permanent magnet electrodynamic suspension. Appl Computational Electromagnet Society J 2014; 29(11): 267–271.

26.

Rote

Cai

. Review of dynamic stability of repulsive-force maglev suspension systems. IEEE Transac Magnetics 2002; 38(2): 1383–1390.

27.

Shi

Fang

Wang

, et al. Measurements and analysis of track irregularities on high speed maglev lines. J Zheijang Univ -Sci 2014; 15(15): 385–394.

28.

Wang

. Study on the influence of bogie suspension parameter on the flexible carbody vibration [dissertation]. Sichuan: Southwest Jiaotong University, 2019, pp. 13–18.

29.

Zeng

. Analysis of vertical vibration reduction for railway vehicle systems. China Academy Railway Sci 2006; 235: 62–67.

30.

Zhai

. Vehicle-track coupled dynamics: theory and applications. Singapore: Springer, 2020.