用于分析复杂几何形状线圈的T-A公式的3D均匀化
3D homogenization of the T-A formulation for the analysis of coils with complex geometries
摘要：
超导线圈的建模和分析是大多数基于高温超导体（HTS）的器件设计阶段的一项重要任务。这些计算可以验证基本的估计和假设，提出改进建议，并计算不容易用分析方法计算的数量。例如，HTS中的损耗的估计在设计阶段是基本的，因为损耗可以强烈地影响冷却系统要求和操作温度。通常，2D有限元分析用于计算HTS中的AC损耗，这是由于缺乏能够准确地表示复杂操作条件（诸如AC传输电流和线圈中的AC外部施加磁场）的解析解。这些2D模型通常是无限长排列的表示。因此，它们不能用于分析端部效应和复杂的3D配置。在本出版物中，我们使用均匀化的T-A配方在3D的超导线圈的分析与复杂的几何形状，其中一个2D的方法不能提供准确的分析和验证的假设。与目前可用的3D H均匀化相比，建模方法允许在商业软件（COMSOL Multiphysics）中更容易地实施，尽管几何形状复杂。这种方法是第一次验证与跑道线圈（基准情况下）通过比较结果与完善的H配方。然后，更复杂的几何形状的线圈的电磁行为进行了分析。
英文摘要：
The modeling and analysis of superconducting coils is an essential task in the design stage of most devices based on high-temperature superconductors (HTS). These calculations allow verifying basic estimations and assumptions, proposing improvements, and computing quantities that are not easy to calculate with an analytical approach. For instance, the estimation of losses in HTS is fundamental during the design stage since losses can strongly influence the cooling system requirements and operating temperature. Typically, 2D finite element analysis is used to calculate AC losses in HTS, due to the lack of analytical solutions that can accurately represent complex operating conditions such as AC transport current and AC external applied magnetic field in coils. These 2D models are usually a representation of an infinitely long arrangement. Therefore, they cannot be used to analyze end effects and complex 3D configurations. In this publication, we use the homogenization of the T-A formulation in 3D for the analysis of superconducting coils with complex geometries where a 2D approach can not provide accurate analyses and verification of assumptions. The modeling methodology allows an easier implementation in commercial software (COMSOL Multiphysics) in comparison with the currently available 3D H homogenization, despite the complexity of the geometry. This methodology is first validated with a racetrack coil (benchmark case) by comparing the results with the well-established H formulation. Then, the electromagnetic behavior of coils with more complex geometries is analyzed.
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