A high-temperature superconducting (HTS) magnetic levitation (maglev), based on YBaCuO bulk superconductors and permanent magnet guideways, shows the potential to be applied in the future rail transportation. The maglev forces (levitation and guidance force) of the HTS maglev system, which bond the vehicle and the guideway, are the key factors of its dynamics studies. In practical operation, the HTS maglev vehicle moves in both the vertical and lateral directions, but the previous force models are in single degree of freedom. In this article, an experiment was designed to study the vertical–lateral coupled effect of the levitation and guidance force. A 2-D coupling model was proposed to fit the experimental data. Furthermore, the motion stability and the dynamical characteristics of the HTS maglev system in 2-D space were studied. The simulation results show that the vertical–lateral coupling effect in maglev forces cannot be neglected, and one direction motion can affect the motion in the other direction. It also shows that the proposed force model is suitable for HTS maglev dynamics’ calculations.

中文翻译：

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高温超导磁悬浮系统的纵向-横向耦合力关系

基于 YBaCuO 块状超导体和永磁导轨的高温超导 (HTS) 磁悬浮 (maglev) 显示出在未来轨道交通中的应用潜力。HTS磁悬浮系统的磁悬浮力（悬浮力和引导力）将车辆和导轨结合在一起，是其动力学研究的关键因素。在实际操作中，HTS磁悬浮车辆在垂直和横向两个方向上运动，但以前的力模型是单自由度的。在本文中，设计了一个实验来研究悬浮和引导力的垂直-横向耦合效应。提出了一个二维耦合模型来拟合实验数据。此外，研究了高温超导磁悬浮系统在二维空间中的运动稳定性和动力学特性。仿真结果表明，磁悬浮力的纵向-横向耦合效应不可忽视，一个方向的运动会影响另一个方向的运动。它还表明，所提出的力模型适用于 HTS 磁悬浮动力学的计算。