High temperature superconducting (HTS) coated conductors (CCs) hold a promising feature in use of manufacturing kinds of magnets, coils, cables and so on. Its advantage on large-current-transporting capacity makes it suitable in MW-class machines and other large power electrical applications. In most situations, corresponding simulations were modeled in a 2D architecture. While, more complicated influences on ends of machines have been ignored artificially due to the simplification on model dimensions and huge expanses on the computational time. Therefore, comprehensive and full-scale models, which cannot easily be simplified as 1D or 2D representations, are urgent to analyze their electromagnetic behaviors in the early-stage design with an acceptable speed. In this paper, we propose a homogeneous T-A formulation for the 3D racetrack coil for the first time, which is treated as an anisotropic bulk-like equivalent to be modeled. Only the superconducting layer of HTS CCs has been preserved and other layers are ignored while still retaining its electromagnetic characteristics. This method in this paper has been fully verified with the widely accepted H formulation. However, the computational expense in T-A model is more than that of H model. At last, AC loss of a manufactured HTS double racetrack coil of one synchronous generator was measured and its experimental results are in good agreements with numerical profiles. This work has a guiding significance to accelerate the pace of 3D model and simulation in HTS applications.

高温超导 (HTS) 涂层导体 (CC) 在制造各种磁铁、线圈、电缆等方面具有很有前景的特性。其大电流传输能力的优势使其适用于MW级机器和其他大功率电气应用。在大多数情况下，相应的模拟是在 2D 架构中建模的。同时，由于模型尺寸的简化和计算时间的巨大扩展，人为地忽略了对机器末端的更复杂的影响。因此，不能轻易简化为一维或二维表示的全面和全尺寸模型迫切需要在早期设计中以可接受的速度分析其电磁行为。在本文中，我们首次为 3D 跑道线圈提出了均匀的 TA 公式，将其视为各向异性体状等效物进行建模。仅保留了 HTS CC 的超导层，忽略了其他层，同时仍保留其电磁特性。本文中的这种方法已经得到了广泛接受的 H 公式的充分验证。但是，TA 模型的计算开销比 H 模型要大。最后，测量了一台同步发电机制造的高温超导双跑道线圈的交流损耗，其实验结果与数值曲线吻合良好。这项工作对加快HTS应用中3D模型和仿真的步伐具有指导意义。仅保留了 HTS CC 的超导层，忽略了其他层，同时仍保留其电磁特性。本文中的这种方法已经得到了广泛接受的 H 公式的充分验证。但是，TA 模型的计算开销比 H 模型要大。最后，测量了一台同步发电机制造的高温超导双跑道线圈的交流损耗，其实验结果与数值曲线吻合良好。这项工作对加快HTS应用中3D模型和仿真的步伐具有指导意义。仅保留了 HTS CC 的超导层，忽略了其他层，同时仍保留其电磁特性。本文中的这种方法已经得到了广泛接受的 H 公式的充分验证。但是，TA 模型的计算开销比 H 模型要大。最后，测量了一台同步发电机制造的高温超导双跑道线圈的交流损耗，其实验结果与数值曲线吻合良好。这项工作对加快HTS应用中3D模型和仿真的步伐具有指导意义。TA 模型的计算开销大于 H 模型。最后，测量了一台同步发电机制造的高温超导双跑道线圈的交流损耗，其实验结果与数值曲线吻合良好。这项工作对加快HTS应用中3D模型和仿真的步伐具有指导意义。TA 模型的计算开销大于 H 模型。最后，测量了一台同步发电机制造的高温超导双跑道线圈的交流损耗，其实验结果与数值曲线吻合良好。这项工作对加快HTS应用中3D模型和仿真的步伐具有指导意义。