AC losses calculation of No-electrical-insulation HTS magnets with field-circuit coupling method

Ruichen Wang, Guangtong Ma, Pengbo Zhou, Songlin Li, Boqiang Liu, Weikang Tian
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Abstract

No-electrical-insulation (NEI) magnets gradually exhibit significant appeal due to their robust thermal stability and elevated mechanical strength. However, when exposed to AC conditions, the magnets would suffer more significant AC losses in dynamic electromagnetic devices, such as motors and maglev systems. Presently, the numerical methods for predicting the electromagnetic and loss behaviors of large-scale NEI magnets entail high computation costs due to the substantial degrees of freedom or complicated modeling strategies. Thus, we propose a fully finite-element method referred to the field-circuit coupling method to efficiently assess the overall behaviors of NEI magnets while preserving adequate accuracy. This method couples the T-A formula and the single-turn equivalent circuit through global voltage, to avoid the costly and complicated inductance calculation, and to simultaneously consider the induced current. By further integrating the homogenization method, the calculation speed can be increased up to ten times. Additionally, we study the critical current, electromagnetic and loss behaviors of the NEI magnets based on the proposed model. We identify some measurement methods that offer more precise estimations of the critical current and the turn-to-turn contact resistance of NEI magnets. Meanwhile, the results indicate the severe impact of high AC fields on the losses, and emphasize the importance of a reliable shielding structure for operational safety. Finally, the influence of turn-to-turn contact resistivity on the loss behavior is also investigated, which can provide valuable insights for the design of the NEI magnets in dynamic electromagnetic devices.
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用场回路耦合法计算无电绝缘 HTS 磁体的交流损耗
无电绝缘(NEI)磁体因其强大的热稳定性和较高的机械强度而逐渐显示出巨大的吸引力。然而,当暴露在交流条件下时,磁体在动态电磁设备(如电机和磁悬浮系统)中将遭受更显著的交流损耗。目前,预测大规模 NEI 磁体的电磁和损耗行为的数值方法由于自由度大或建模策略复杂而需要高昂的计算成本。因此,我们提出了一种称为场-回路耦合法的全有限元方法,以在保持足够精度的前提下有效评估 NEI 磁体的整体行为。该方法通过全局电压耦合 T-A 公式和单匝等效电路,避免了昂贵而复杂的电感计算,并同时考虑了感应电流。通过进一步整合均质化方法,计算速度可提高 10 倍。此外,我们还根据提出的模型研究了 NEI 磁体的临界电流、电磁和损耗行为。我们确定了一些测量方法,可以更精确地估算 NEI 磁体的临界电流和匝间接触电阻。同时,研究结果表明了高交流场对损耗的严重影响,并强调了可靠的屏蔽结构对运行安全的重要性。最后,还研究了匝间接触电阻率对损耗行为的影响,这为动态电磁设备中 NEI 磁体的设计提供了宝贵的启示。
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