论文标题
使用商业软件的超导体的电磁建模:具有两个基于矢量电位的配方的可能性
Electromagnetic Modeling of Superconductors with Commercial Software: Possibilities with Two Vector Potential-Based Formulations
论文作者
论文摘要
近年来,麦克斯韦方程的$ h $公式已成为模拟使用商业软件超导应用程序应用的电磁行为的事实上的标准。但是,在某些情况下,其他配方是可取的,例如,用于在电机或临界状态更好地描述超导体的电机或情况下,而不是用幂律电阻率来建模。为了准确有效地处理这些情况,我们在这里考虑了基于磁向量电位的两种已发表的方法:$ t $ - $ a $ a $ a $ a $ a $ a $ a $ a $ a $ a $公式(具有幂律电阻率)和坎贝尔对关键状态模型的实现。在此贡献中,我们将$ t $ - $ a $的配方扩展到厚的导体,以便可以考虑在转弯之间具有不同耦合方案的大线圈。我们还修改了坎贝尔的模型,并就其计算AC损失的能力进行了讨论:尤其是,我们研究了计算出的AC损耗对AC激发频率的依赖性以及使用快速的一步(而不是完整周期)模拟来计算AC损耗的可能性。
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.