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arXiv 2004.01913cond-mat.supr-con
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超导体的商用软件电磁模拟:两种矢量势公式的可能性

Electromagnetic Modeling of Superconductors with Commercial Software: Possibilities with Two Vector Potential-Based Formulations

Francesco Grilli, Enric Pardo, Antonio Morandi, Victor M. R. Zermeño, Roberto Brambilla, Tara Benkel, Nicolò Riva

摘要:

近年来,麦克斯韦方程的$H$公式已经成为商用软件模拟超导应用中随时间变化的电磁行为的事实标准。然而,在某些情况下,其他的公式是可取的,例如在建模电机中的超导匝或超导体的情况下,更好地描述了临界状态比幂律电阻率。为了准确和有效地处理这些情况下,在这里,我们考虑两个公布的方法的基础上的磁矢量位:$T$ - $A$制定麦克斯韦方程组(与幂律电阻率)和坎贝尔的实施的临界状态模型。在这方面的贡献,我们扩展了$T$ - $A$配方厚导体,使大线圈之间的不同耦合的情况下,可以考虑。我们还修改坎贝尔的模型,并讨论它在其计算交流损耗的能力方面:特别是,我们调查的依赖性的交流励磁的频率和使用快速一步(而不是全周期)模拟计算的交流损耗的可能性计算的交流损耗。

英文摘要:

In recent years, the $H$ formulation of Maxwell's equation has become the de facto standard for simulating the time-dependent electromagnetic behavior of superconducting applications with commercial software. However, there are cases where other formulations are desirable, for example for modeling superconducting turns in electrical machines or situations where the superconductor is better described by the critical state than by a power-law resistivity. In order to accurately and efficiently handle those situations, here we consider two published approaches based on the magnetic vector potential: the $T$-$A$ formulation of Maxwell's equations (with power-law resistivity) and Campbell's implementation of the critical state model. In this contribution, we extend the $T$-$A$ formulation to thick conductors so that large coils with different coupling scenarios between the turns can be considered. We also revise Campbell's model and discuss it in terms of its ability to calculate AC losses: in particular, we investigate the dependence of the calculated AC losses on the frequency of the AC excitation and the possibility of using quick one-step (instead of full cycle) simulations to calculate the AC losses.

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