Superconducting radio frequency (SRF) cavities are often limited by thermal quench, which is an excessive electromagnetic heating that occurs in the high magnetic field area and expands thereafter forcing the cavity to lose its superconducting state. In this article, we demonstrate how the quench phenomena can be modeled using a coupled electromagnetic thermal analysis. The proposed model takes into account the nonlinearity of the material properties at cryogenic temperature and the effect of Kapitza resistance. The proposed approach is used to compute the thermal quench field of a 3.9-GHz 9-cell accelerating cavity, a 2.815-GHz deflecting cavity, and a 1.3-GHz 9-cell accelerating cavity. The computed values of quench field are in good agreement with the measured ones observed during vertical testing at 2 K. Without loss of generality, the proposed methodology can be applied to other cavity geometries.

中文翻译：

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超导射频腔中热淬火的建模

超导射频 (SRF) 腔通常受到热失超的限制，热失超是一种过度的电磁加热，发生在高磁场区域并随后膨胀，迫使腔失去其超导状态。在本文中，我们展示了如何使用耦合电磁热分析对失超现象进行建模。所提出的模型考虑了低温下材料特性的非线性和 Kapitza 电阻的影响。所提出的方法用于计算 3.9 GHz 9 单元加速腔、2.815 GHz 偏转腔和 1.3 GHz 9 单元加速腔的热猝灭场。淬火场的计算值与在 2 K 垂直测试期间观察到的测量值非常吻合。 不失一般性，