辅助永磁体厚度对单畴GdBCO超导体捕获磁场分布及其磁悬浮力的影响

研究了两种磁悬浮系统组态中圆台形辅助永磁体厚度对高温超导体捕获磁场和超导磁悬浮力的影响。结果表明,圆台形辅助永磁体的下表面和GdBCO超导体上表面同处在一个水平面上,磁化用圆台形辅助永磁体的厚度H从5 mm增加到45 mm时,超导体捕获磁场和磁悬浮力与圆台形辅助永磁体的厚度直接相关。（1）当圆台形辅助永磁体的北极垂直向上且用液氮冷却后移除辅助永磁体时,最大磁悬浮力从21.8 N增大到26.5 N,再减小到22.9 N;（2）当圆台形辅助永磁体的北极垂直向下且用液氮冷却后移除辅助永磁体时,最大磁悬浮力从20.5 N减小到11.9 N ,再增加到20.4 N;（3）两种磁悬浮系统组态中最大磁悬浮力不一致,与零场冷情况下的最大磁悬浮力14.6 N也不同。在超导磁悬浮应用系统设计中,只有科学选择辅助永磁体形状和尺寸,合理设计组合方式,才能获得较强的磁场强度,提高超导磁悬浮力特性,该结果对促进高温超导体的实际应用具有重要的指导作用。     

Angular Dependence of Lateral and Levitation Forces in Asymmetric Small Magnet/Superconducting Systems

The dipole-dipole interaction model is used to calculate the angular dependence of lateral and levitation forces on a small permanent magnet and a cylindrical superconductor in the Meissner state lying laterally off the symmetric axis of the cylinder. Under the assumption that the lateral displacement of the magnet is small compared with the physical dimensions of the system, we obtain analytical expressions for the lateral and levitation forces as functions of geometrical parameters of the superconductor as well as the height, the lateral displacement and the orientation of magnetic moment of the magnet. The effect of thickness and radius of the superconductor on the levitation force is similar to that for a symmetric magnet/superconducting cylinder system, but within the range of lateral displacement. The splitting in the levitation force increases with the increasing angle of orientation of the magnetic moment of the magnet. For a given lateral displacement of the magnet, the lateral force vanishes when the magnetic moment is perpendicular to the surface of the superconductor and has a maximum value when the moment is parallel to the surface. For a given orientation of the magnetic moment, the lateral force has a linear relationship with the lateral displacement. The stability of the magnet above the superconducting cylinder is discussed in detail.     

高温超导飞轮储能系统磁悬浮力的仿真计算与实验分析

超导磁悬浮飞轮储能装置储能密度大、储能效率高,具有很好的发展前景。阐述了超导磁悬浮飞轮储能装置的基本原理。主要研究了超导块与永磁体之间的间隙、两者的半径和永磁体厚度等尺寸参数对磁悬浮力的影响。运用有限元分析软件ANSYS对磁悬浮的基本模型进行仿真计算,得到模型的磁力线分布,进一步总结各个参数和磁悬浮力之间的关系,并进行实验验证得到的结论。     

辅助永磁体的引入方式对单畴GdBCO超导块材磁场分布及其磁悬浮力的影响

通过对永磁体辅助下单畴GdBCO超导体和方形永磁体在液氮温度、 零场冷、 轴对称情况下磁悬浮力的测量, 研究了三种不同组态中辅助永磁体的引入方式对单畴GdBCO超导块材磁场分布及其磁悬浮力的影响. 实验结果表明, 如果处在超导体上方的测量用方形永磁体N极向下, 则在轴对称情况下, 当方形辅助永磁体N极向上与超导体下表面贴在一起时, 超导体的最大磁悬浮力从没有引入辅助永磁体磁化的14.3 N增加到31.8 N, 提高到222%; 当方形辅助永磁体放置在超导体上表面、 N极垂直向上且场冷后去掉辅助永磁体时, 超导体的最大磁悬浮力从没有引入辅助永磁体磁化的14.3 N增加到21.6 N, 增加到151%; 当方形辅助永磁体放置在超导体上表面、 N极垂直向下且场冷后去掉方形辅助永磁体时, 超导体的最大磁悬浮力从没有引入辅助永磁体磁化的14.3 N减小到8.6 N, 减小为无辅助永磁体时的60%.这些结果说明, 只有通过科学合理地设计超导体和永磁体的组合方式, 才能获得较高的磁场强度, 有效地提高超导体的磁悬浮力特性, 该结果对促进超导体的应用具有重要的指导意义.     

Effective method to control the levitation force and levitation height in a superconducting maglev system

The influence of the width of the middle magnet in the permanent magnet guideways(PMGs) on the levitation force and the levitation height of single-domain yttrium barium copper oxide(YBCO) bulks has been investigated at 77 K under the zero field cooled(ZFC) state. It is found that the largest levitation force can be obtained in the system with the width of the middle magnet of the PMG equal to the size of the YBCO bulk when the gap between the YBCO bulk and PMG is small.Both larger levitation force and higher levitation height can be obtained in the system with the width of the middle magnet of the PMG larger than the size of the YBCO bulk. The stiffness of the levitation force between the PMG and the YBCO bulk is higher in the system with a smaller width of the middle magnet in the PMG. These results provide an effective way to control the levitation force and the levitation height for the superconducting maglev design and applications.     

空心圆柱形永磁体内径对单畴GdBCO超导块材磁悬浮力的影响

通过对空心圆柱形永磁体与单畴GdBCO超导体磁悬浮力的实验测量,研究了空心圆柱形永磁体内径(d)的变化对超导体磁悬浮力的影响.结果发现,当空心圆柱形永磁体内径从0 mm增加到26 mm时,超导磁悬浮力大小与空心圆柱形永磁体内径有着密切关系(最小测量间距Z=2 mm),所有超导磁悬浮力曲线都存在磁滞现象.随着空心圆柱形永磁体内径的增大,最小间距处超导磁悬浮力逐渐减小,从d=0 mm时的14.8 N减小为d=26 mm时的-0.1 N,d≥20 mm时,最小间距处超导磁悬浮力出现负值;当0 mm≤d5 mm时,超导体最大磁悬浮力出现在最小间距处,d≥5 mm时,超导磁悬浮力先增大后减小,最大超导磁悬浮力产生的位置随着内径的增大而变大.研究表明:只有科学合理地设计永磁体结构参数,才能获得较大的磁场强度,提高超导磁悬浮力特性.该结果对设计并优化磁悬浮轴承系统、环形轨道和超导体的实际应用具有一定的指导意义.     

Effect of the characteristics of a superconductor on the levitation properties of the magnet-superconductor system

The results of the experimental and theoretical investigations of the magnetic levitation force appearing at the interaction of the multilayer superconducting block of the YBa₂Cu₃O_7?x melted textured ceramic and a permanent magnet are presented. The maximum repulsive force and maximum attractive force are determined as functions of the thickness of the superconducting block in the superconductor cooling regime in both zero and nonzero magnetic fields. The dependence of the levitation force on the geometric parameters and critical current of the superconductor is found.     

永磁体辅助下单畴GdBCO超导体和永磁体之间的磁悬浮力研究

通过对永磁体辅助下单畴GdBCO超导体和圆柱形永磁体在液氮温度、零场冷、轴对称情况下磁悬浮力的测量,研究了两种不同组态下辅助永磁体对超导体磁悬浮力特性的影响.实验结果表明,当长方体辅助永磁体水平磁化、且磁极N指向超导体时,超导体的最大磁悬浮力从没有引入辅助永磁体的29.8 N增加到61.5 N,增加为没有引入辅助永磁体时的206%.当长方体辅助永磁体的N极与圆柱形永磁体的N极反平行时,超导体的最大磁悬浮力从没有引入辅助永磁体的29.8 N减小到19.6 N,减小为无辅助永磁体时的65.8%.这些研究结果说明,通过科学合理地设计超导体和永磁体的组合方式,能有效地提高超导体的磁悬浮力.该研究结果对促进超导体的应用具有重要的指导意义. 关键词： 单畴GdBCO 永磁体 磁悬浮力     

永磁导轨上高温超导块材排布方式与悬浮力关系的研究

本文研究了YBCO块材排布方式与其在永磁导轨上悬浮力的关系.实验结果表明:悬浮力与随悬浮间距成指数关系.而YBCO块材在导轨上方排列方式的不同,导致沿轨道横截面方向,每块超导块获得的悬浮力平均值差异较大.当超导块集中分布于轨道上方磁场强度最大的区域时,超导块平均悬浮力最大.这意味着,与其他排布方式相比,在获得同等悬浮力情况下,这种排布方法的超导块用量最少.这一结果对于超导磁悬浮系统的设计具有指导意义。     

Levitation and lateral forces between a point magnetic dipole and a superconducting sphere

The dipole–dipole interaction model is employed to investigate the angular dependence of the levitation and lateral forces acting on a small magnet in an anti-symmetric magnet/superconducting sphere system. Breaking the symmetry of the system enables us to study the lateral force which is important in the stability of the magnet above a superconducting sphere in the Meissner state. Under the assumption that the lateral displacement of the magnet is small compared to the physical dimensions of our proposed system, analytical expressions are obtained for the levitation and lateral forces as a function of the geometrical parameters of the superconductor as well as the height, the lateral displacement, and the orientation of the magnetic moment of the magnet. The dependence of the levitation force on the height of the levitating magnet is similar to that in the symmetric magnet/superconducting sphere system within the range of proposed lateral displacements. It is found that the levitation force is linearly dependent on the lateral displacement whereas the lateral force is independent of this displacement. A sinusoidal variation of both forces as a function of the polar and azimuthal angles specifying the orientation of the magnetic moment is observed. The relationship between the stability and the orientation of the magnetic moment is discussed for different orientations.     

单块磁悬浮系统磁体和超导体的厚度优化

研究了磁铁厚度和YBCO超导体厚度对悬浮力的大小及系统动态特性的影响,通过分析得出磁悬浮系统中磁体和超导体厚度的最优值。通过悬浮力测试系统测得超导块尺寸为φ30mm×18mm时四块不同厚度的磁体的悬浮力以及磁体尺寸为φ30mm×10mm时六块不同厚度的YBCO超导体的悬浮力的大小;并在振动实验台上测试了上述情况下的振动特性。对动态曲线进行频谱分析,最终得出最优组合,从而对磁悬浮系统的磁体和超导体厚度进行了优化。     

Levitation performance of the magnetized bulk high-Tc superconducting magnet with different trapped fields

To a high-T_c superconducting (HTS) maglev system which needs large levitation force density, the magnetized bulk high-T_c superconductor (HTSC) magnet is a good candidate because it can supply additional repulsive or attractive force above a permanent magnet guideway (PMG). Because the induced supercurrent within a magnetized bulk HTSC is the key parameter for the levitation performance, and it is sensitive to the magnetizing process and field, so the magnetized bulk HTSC magnets with different magnetizing processes had various levitation performances, not only the force magnitude, but also its force relaxation characteristics. Furthermore, the distribution and configuration of the induced supercurrent are also important factor to decide the levitation performance, especially the force relaxation characteristics. This article experimentally investigates the influences of different magnetizing processes and trapped fields on the levitation performance of a magnetized bulk HTSC magnet with smaller size than the magnetic inter-pole distance of PMG, and the obtained results are qualitatively analyzed by the Critical State Model. The test results and analyses of this article are useful for the suitable choice and optimal design of magnetized bulk HTSC magnets.     

辅助永磁体磁化方式对单畴GdBCO超导块材捕获磁场分布及其磁悬浮力的影响

通过对方形永磁体和方形辅助永磁体在液氮温度下对GdBCO超导体磁化后超导磁悬浮力的测量, 研究了两种组态中方形辅助永磁体对超导体的磁化方式对单畴GdBCO超导块材磁场分布及其磁悬浮力的影响. 结果发现, 方形辅助永磁体的下表面和超导体上表面保持在同一个水平面上, 磁化进程中方形辅助永磁体在GdBCO超导体上表面水平面内沿直径方向的位置x从–15 mm增加到+15 mm时, 超导磁悬浮力大小与超导体的磁化方式有着密切关系(以Z=0.1 mm为例): 1) 当方形辅助永磁体N极垂直向上且场冷后去掉辅助永磁体时, 超导体最大磁悬浮力先从16.7 N增大到23.1 N, 再减小到16.6 N; 2) 当方形辅助永磁体N极垂直向下且场冷后去掉辅助永磁体时, 超导体最大磁悬浮力先从17.7 N减小到7 N, 再增加到17.6 N; 3) 两种组态中最大磁悬浮力不相等, 而且与零场冷下的最大磁悬浮力(17.1 N)也不同. 这些结果说明: 只有通过科学合理地设计超导体和永磁体的组合方式, 才能获得较高的磁场强度, 有效地提高超导体的磁悬浮力特性, 该结果对促进超导体的应用具有重要的指导意义. 关键词： 单畴GdBCO 永磁体 捕获磁场 磁悬浮力     

零场冷和场冷方式下高温超导块材最大悬浮力关系

文章通过对15块高温超导块材与永磁轨道相互作用的悬浮力测试,比较了零场冷和场冷两种冷却方式下块材的最大悬浮力关系.实验结果显示零场冷时悬浮力大的块材在场冷时悬浮力不一定就大,反之亦然,两者并无直接的对应关系.在实际的场冷应用中,推荐以场冷下的悬浮力数据为参考.     

NdFeB永磁体下YBaCuO块材在交流磁扰动中的悬浮力磁滞特性

研究了交流磁扰动对高温超导块材和永磁体之间悬浮力的影响。实验分析了在零场冷(ZFC)条件下,不同频率的交流磁场扰动下的悬浮力曲线;另外还研究了交流磁扰动在永磁体下降和上升过程中对悬浮力的影响,发现上升过程中悬浮力受交流磁场影响较大,而在下降过程中影响则较为不明显,同时随着交流磁场幅值的增大,悬浮力的滞回曲线逐渐加宽。说明交流磁场导致了超导块磁滞损耗的增加,对超导磁浮特性的研究具有理论意义。     

应用场结构对YBCO块材悬浮性能的影响

永磁轨道是高温超导磁悬浮车的重要组成部分之一,对YBCO块材在两种应用场:单峰永磁轨道和双峰永磁轨道上的磁悬浮性能进行了数值和实验研究。通过对比两种轨道上方的切向和法向分量的磁场分布,对实验结果进行了分析。实验发现YBCO块材在双峰轨道上方,悬浮力和导向力均大于单峰轨道,双峰轨道在磁利用率方面高于单峰轨道。     

Near-oscillatory relaxation behavior of levitation force in infiltration and growth processed bulk YBCO/Ag superconducting composites

Time relaxation behavior of levitation force has been studied in IGP bulk YBCO/Ag superconductor using levitation force measurements as these measurements throw light on the magnetic relaxation in superconductors and the underlying vortex dynamics, pinning mechanisms and the nature of pinning forces. The measurements have revealed a hitherto unknown near-oscillatory relaxation of the levitation force with varying magnetic field. This kind of behavior is found to be more pronounced at smaller gap distances between the permanent magnet and the superconductor. A switch-type polarity bistable equilibrium model for the supercurrent structure has been proposed based on the understanding that even the permanent magnet gets magnetized in the presence of the superconductor, which has also been verified and reported here. This model satisfactorily explains the observed oscillatory behavior of relaxation rates.     

垂向磁场变化量对高温超导块材悬浮力特性的影响

高温超导体因其无源自稳定的特性,受到许多学者的重视,具有广阔的应用前景.目前针对高温超导块材悬浮性能的研究主要集中于由永磁体产生的低磁场环境.本文基于超导磁体平台提供的强磁场环境,通过改变高温超导块材不同的场冷高度,实验研究了高温超导块材悬浮力与垂向磁场变化量的关系.研究结果表明随着垂向磁场变化量的增加,高温超导块材的悬浮力增长趋缓,并最终出现悬浮力饱和的现象.本文还对比了YBCO 和Gd-BCO 两种不同材料超导块材的悬浮性能,结果发现GdBCO 的悬浮力在强磁场环境中表现出更大的潜力.这为高温超导磁浮在强磁场中的应用奠定了基础,通过更加合理地调节磁场的分布,可以更好地发挥高温超导块材的悬浮性能潜力     

Influences of cooling height and lateral moving speed on the levitation characteristics of YBaCuO bulks

Using an updated high-temperature superconductor (HTS) maglev measurement system, electromagnetic forces between a YBaCuO bulk superconductor and a permanent magnet (PM) have been measured under different cooling height (CH) and different lateral moving speed of the PM. It is found that the influence of the moving speed on both the levitation and lateral force is substantial and as such the results shown in this work are a benefit to the understanding of levitation systems.     

Effects of an external force on levitation of a magnet over a superconductor

With the help of an external force the stable levitation range of a magnet over a superconductor can be increased. In the experiments discussed here the external force is supplied by a bar magnet kept 4.5 cm above the superconductor sample.