Levitation strength provided by high temperature superconductors are limited for device applications. Although superconducting material properties are continuously improving, there is still strong necessity of efficient design mechanisms for the superconducting magnetic levitation systems. Studies in the last decades have shown that combining multi-surface superconductor and permanent magnet components in optimum configurations has improved the levitation forces. In this respect, Halbach arraying permanent magnets interacting with multi-surface superconductors has become one of the most utilized methods. This paper investigates frozen image modeling of the levitation and guidance forces on a particular levitation system, which consists of a permanent magnet guideway and high temperature superconductor car body. The levitation enhancement is investigated for three configurations according to force interactions between the guideway and car body. These configurations are based on the use of single permanent magnet-single superconductor, Halbach array permanent magnets-single superconductor and Halbach array permanent magnets-multi-surface superconductors. The vertical and guidance forces for the present configurations were calculated in terms of field cooling and zero field cooling conditions by using frozen image model with magnetic dipole approximation. The predicted force calculations are analyzed in terms of vertical and lateral traverses of the car body respect to guideway for particular measurement distances. The force analysis provided by frozen image model qualitatively agree with the previously obtained experimental data.

高温超导体提供的悬浮强度对于设备应用是有限的。尽管超导材料的性能不断提高，但仍然强烈需要为超导磁悬浮系统提供有效的设计机制。过去几十年的研究表明，将多表面超导体和永磁体组件以最佳配置相结合，可以提高悬浮力。在这方面，Halbach 排列永磁体与多表面超导体相互作用已成为最常用的方法之一。本文研究了特定悬浮系统上悬浮和引导力的冻结图像建模，该系统由永磁导​​轨和高温超导体车体组成。根据导轨和车身之间的力相互作用，研究了三种配置的悬浮增强。这些配置基于使用单个永磁体-单超导体、Halbach 阵列永磁体-单个超导体和 Halbach 阵列永磁体-多表面超导体。通过使用具有磁偶极子近似的冻结图像模型，根据场冷却和零场冷却条件计算当前配置的垂直力和引导力。针对特定测量距离，根据车身相对于导轨的垂直和横向移动来分析预测力计算。冻结图像模型提供的力分析与先前获得的实验数据定性一致。