Abstract
Hyperloop transportation technology (HTT) is a new mode of transport. It works based on moving an ultra-high-speed vehicle called a pod into the low-air pressure tubes. This paper investigated the stability analysis of a novel hybrid levitation pod considering aerodynamic forces that has not been studied yet. The proposed pod contains two levitation, electromagnetic suspension (EMS), and air cushion. In this regard, air cushions help the system overcome the overall weight. On the other hand, EMS magnets are responsible for the motion stability of the pod in the presence of aerodynamic forces using two Proportional-Derivative (PD) controllers: one for controlling the vertical displacement and another one for the lateral motion. In this paper, a 5-degrees-of-freedom (DOF) dynamic model for the proposed pod is developed that includes the vertical and lateral displacements of the pod as well as the body’s pitching, rolling, and yawing moments. In addition, the dynamic models for air cushions, magnetic suspensions, and aerodynamic forces are presented. After solving the related dynamic equations, the effect of controller parameters and aerodynamic lift and drag forces on the stability of the proposed pod is studied. Furthermore, the influence of controller coefficients and some other pod design parameters including the air cushions’ stiffness, the total mass of the pod, and the air pressure inside the tube at critical speed is analyzed.
摘要
超级高铁运输技术(HTT)是一种新型运输方式. 它的工作原理是将一种称为吊舱的超高速车辆移动到低气压管中. 本文研究了 考虑空气动力载荷的新型混合悬浮吊舱的稳定性分析. 拟议的吊舱包含两个悬浮装置: 磁悬浮(EMS)和气垫. 在这方面, 气垫有助于系 统克服整体重量. EMS悬架有两个比例微分(PD)控制器, 可在存在空气动力载荷的情况下稳定吊舱的运动: 一个控制垂直位移, 另一个 控制横向运动. 本文建立了吊舱的五自由度动力学模型, 包括吊舱的垂直和横向位移以及吊舱的俯仰、滚转和偏航力矩. 介绍了气 垫、磁悬浮和空气动力载荷的动态模型. 求解相关动力学方程后, 研究了控制器参数和气动升力和阻力载荷对吊舱稳定性的影响. 此 外, 还分析了控制器系数和其他一些吊舱设计参数(包括气垫刚度、总质量和管内气压)对临界速度的影响.
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References
R. Ahmed, Y. L. Jun, M. F. Azhar, and N. U. R. Junejo, Comprehensive study and review on maglev train system, Appl. Mech. Mater. 615, 347 (2014).
R. C. Sharma, M. Dhingra, R. K. Pathak, and M. Kumar, Magnetically levitated vehicles: Suspension, propulsion and guidance, Int. J. Eng. Res. Technol. 3, 5 (2014).
H. W. Lee, K. C. Kim, and J. Lee, Review of maglev train technologies, IEEE Trans. Magn. 42, 1917 (2006).
G. K. Tandan, P. K. Sen, G. Sahu, R. Sharma, and S. Bohidar, A review on development and analysis of maglev train, Int. J. Res. Advent. Technol. 3, 14 (2015).
M. Kim, J. H. Jeong, J. Lim, C. H. Kim, and M. Won, Design and control of levitation and guidance systems for a semi-high-speed maglev train, J. Electrical Eng. Tech. 12, 117 (2017).
M. Zhai, A. Hao, X. Li, and Z. Long, Research on the active guidance control system in high speed maglev train, IEEE Access 7, 741 (2019).
P. Madhan, S. Gaikwad, and B. Panigrahi, Design and optimization of nine degrees of freedom suspension model for Hyperloop pods, Proc. Inst. Mech. Eng. Part F-J. Rail. Rapid. Transit. 237, 356 (2023).
M. S. Pavăl, A. Popescu, T. Popescu, D. Zahariea, and D. E. Husaru, Numerical study on the movement of air inside the inner cavity of a hovercraft model, IOP Conf. Ser.-Mater. Sci. Eng. 444, 082005 (2018).
M. S. Pavēl, A. Popescu, and D. Zahariea, Numerical analysis of the influence of the lower hull angle of a round skirtless air cushion vehicle, IOP Conf. Ser.-Mater. Sci. Eng. 595, 012049 (2019).
M. S. Pavēl, A. Popescu, and D. Zahariea, CFD analysis of a round shaped air cushion vehicle with flexible skirt segments at 90° and different air clearance height, IOP Conf. Ser.-Mater. Sci. Eng. 997, 012151 (2020).
M. S. Pavēl, A. Popescu, and D. Zahariea, CFD analysis of a round shaped air cushion vehicle with inclined skirt segments, IOP Conf. Ser.-Mater. Sci. Eng. 997, 012152 (2020).
J. D. Yau, Aerodynamic vibrations of a maglev vehicle running on flexible guideways under oncoming wind actions, J. Sound Vib. 329, 1743 (2010).
J. Wang, L. Ling, X. Ding, K. Wang, and W. Zhai, The influence of aerodynamic loads on carbody low-frequency hunting of high-speed trains, Int. J. Str. Stab. Dyn. 22, 2250145 (2022).
H. Wu, X. H. Zeng, and Y. Yu, Motion stability of high-speed maglev systems in consideration of aerodynamic effects: A study of a single magnetic suspension system, Acta Mech. Sin. 33, 1084 (2017).
H. Wu, X. H. Zeng, D. G. Gao, and J. Lai, Dynamic stability of an electromagnetic suspension maglev vehicle under steady aerodynamic load, Appl. Math. Model. 97, 483 (2021).
D. J. Min, S. D. Kwon, J. W. Kwark, and M. Y. Kim, Gust wind effects on stability and ride quality of actively controlled maglev guideway systems, Shock Vib. 2017, 1 (2017).
Y. Bao, W. Zhai, C. Cai, S. Zhu, and Y. Li, Dynamic interaction analysis of suspended monorail vehicle and bridge subject to crosswinds, Mech. Syst. Signal Process. 156, 107707 (2021).
H. Petoft, A. Rahi, and V. Fakhari, Vibration analysis of a Hyperloop pod with a novel hybrid levitation in accelerating and braking maneuvers, Proc. Inst. Mech. Eng. Part F-J. Rail. Rapid. Transit. 238, 24 (2024).
H. Petoft, V. Fakhari, and A. Rahi, Vibration analysis of a hybrid levitation pod with compressor unbalanced force in hyperloop system, Int. J. Railw. Res. 9, 21 (2022).
N. Nick, and Y. Sato, Computational fluid dynamics simulation of Hyperloop pod predicting laminar-turbulent transition, Railw. Eng. Sci. 28, 97 (2020).
F. Lluesma-Rodríguez, T. González, and S. Hoyas, CFD simulation of a hyperloop capsule inside a low-pressure environment using an aerodynamic compressor as propulsion and drag reduction method, Appl. Sci. 11, 3934 (2021).
Aerodynamic study of a Hyperloop pod equipped with compressor to overcome the Kantrowitz limit, J. Wind Eng. Ind. Aerodyn. 218, 104784 (2021).
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Author contributions Hamed Petoft designed the research. Hamed Petoft wrote the first draft of the manuscript. Hamed Petoft, Abbas Rahi, and Vahid Fakhari helped organize the manuscript. Hamed Petoft revised and edited the final version.
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Petoft, H., Rahi, A. & Fakhari, V. Stability analysis of a hybrid levitation pod in a hyperloop transportation system considering aerodynamic forces. Acta Mech. Sin. 40, 523446 (2024). https://doi.org/10.1007/s10409-023-23446-x
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DOI: https://doi.org/10.1007/s10409-023-23446-x