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An analytical benchmark for the calculation of current distribution in superconducting cables

机译：计算超导电缆中电流分布的分析基准

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摘要

The validation of numerical codes for the calculation of current distribution and AC losses in superconducting cables versus experimental results is essential, but could be affected by approximations in the electromagnetic model or incertitude in the evaluation of the model parameters. A preliminary validation of the codes by means of a comparison with analytical results can therefore be very useful, in order to distinguish among different error sources. We provide here a benchmark analytical solution for current distribution that applies to the case of a cable described using a distributed parameters electrical circuit model. The analytical solution of current distribution is valid for cables made of a generic number of strands, subjected to well defined symmetry and uniformity conditions in the electrical parameters. The closed form solution for the general case is rather complex to implement, and in this paper we give the analytical solutions for different simplified situations. In particular we examine the influence of different boundary conditions, the effect of a localised resistance in the middle of the cable such as in case of quench and the effects of localized time dependent magnetic fluxes acting on the cable.
机译：验证用于计算超导电缆中的电流分布和AC损耗与实验结果的数字代码是至关重要的，但可能会受到电磁模型中近似值或模型参数评估不确定性的影响。因此，通过与分析结果进行比较来对代码进行初步验证可能非常有用，以便区分不同的错误源。在这里，我们为电流分配提供了基准分析解决方案，该解决方案适用于使用分布式参数电路模型描述的电缆情况。电流分布的解析解决方案对于由通用股线制成的电缆有效，这些电缆要经受电气参数中明确定义的对称性和均匀性条件。一般情况下的封闭形式解决方案实施起来相当复杂，在本文中，我们给出了针对不同简化情况的解析解决方案。特别是，我们研究了不同边界条件的影响，电缆中间的局部电阻的影响（例如在淬火的情况下）以及作用于电缆的局部时间相关的磁通量的影响。

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