Superconductor Science and Technology ( IF 3.6 ) Pub Date : 2021-03-26 , DOI: 10.1088/1361-6668/abeb02 Lei Wang , Yan Chen
Here we propose a new approach capable of calculating the hysteresis loss of 3D HTS coil models based on the modeling framework of the multi-scale method. The study enhances the multi-scale method for 2D simulations by introducing the homogenization technique to simplify the topological features of coils’ cross sections. With the simplification, a 3D A-formulation magnetostatic model is built for magnetic field estimation, while a 2D H-formulation superconducting model is solved for the tape’s current density and hysteresis loss. Since different spatial dimensions are employed in the submodels, we refer to it as the multi-dimension method. We demonstrate the data transferring between the 2D or 3D homogenized coil submodel and the 2D single-tape submodel. The benchmark results show that hysteresis losses from the developed models and reference models are in good agreement, with errors of less than 1% and 6% in simulating the target 2D solenoid coil and 3D racetrack coil, respectively. The distributions of current density and magnetic field in both models are highly consistent. Meanwhile, the developed models speed up the calculations by one to five times compared with the reference models. Due to the easy calculation of 3D magnetostatic models and 2D superconducting models, the multi-dimension method may pave a new way to 3D electromagnetic simulations for larger-scale and more complex high temperature superconducting conductors and coils.
中文翻译:
2D 和 3D 大型 HTS 线圈模型的磁滞损耗计算:从多尺度方法到多维方法
在这里,我们提出了一种新方法,能够基于多尺度方法的建模框架计算 3D HTS 线圈模型的磁滞损耗。该研究通过引入均质化技术来简化线圈横截面的拓扑特征,从而增强了二维模拟的多尺度方法。通过简化,建立了用于磁场估计的 3D A公式静磁模型,而 2D H-公式超导模型解决了磁带的电流密度和磁滞损耗。由于子模型中使用了不同的空间维度,我们将其称为多维方法。我们演示了 2D 或 3D 均质线圈子模型和 2D 单带子模型之间的数据传输。基准测试结果表明,开发模型和参考模型的磁滞损耗非常吻合,在模拟目标 2D 螺线管线圈和 3D 跑道线圈时,误差分别小于 1% 和 6%。两种模型的电流密度和磁场分布高度一致。同时,与参考模型相比,开发的模型将计算速度提高了一到五倍。由于 3D 静磁模型和 2D 超导模型易于计算,