A self-consistent model for estimating the critical current of superconducting devices

A self-consistent model for estimating the critical current of superconducting devices
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DOI:
10.1088/0953-2048/28/8/085004
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发表时间:
2014-12
影响因子:
3.6
通讯作者:
V. Zermeño;F. Sirois;M. Takayasu;M. Vojenčiak;A. Kario;F. Grilli
V. Zermeño;F. Sirois;M. Takayasu;M. Vojenčiak;A. Kario;F. Grilli
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
V. Zermeño;F. Sirois;M. Takayasu;M. Vojenčiak;A. Kario;F. Grilli

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如今,人们对使用超导导线或胶带来设计和制造电缆、线圈、旋转机械、变压器和故障电流限制器等设备越来越感兴趣。它们的高电流容量使它们成为制造紧凑型和轻型电缆和线圈的首选,这些电缆和线圈可用于上述大规模电力应用。然而,这些电缆和线圈的性能受到其临界电流的限制,这是由几个因素决定的,包括导体的材料特性和设备本身的几何布局。在这项工作中,我们提出了一个自洽模型来估计超导器件的临界电流。当工作条件使电流产生的自场占总场的很大一部分时,这一点非常重要。该模型基于法拉第方程在时间趋于无穷时的渐近极限,该方程用磁矢量势表示。它使用连续的E−J ?>关系,并考虑临界电流密度对磁通密度的角依赖性。该模型可用于电缆、线圈和转置电缆线圈等超导器件的临界电流估计,具有很高的精度。该模型的高计算速度使其成为设计优化的理想候选者。
Nowadays, there is growing interest in using superconducting wires or tapes for the design and manufacture of devices such as cables, coils, rotating machinery, transformers, and fault current limiters, among others. Their high current capacity has made them the candidates of choice for manufacturing compact and light cables and coils that can be used in the large-scale power applications described above. However, the performance of these cables and coils is limited by their critical current, which is determined by several factors, including the conductor’s material properties and the geometric layout of the device itself. In this work we present a self-consistent model for estimating the critical current of superconducting devices. This is of large importance when the operating conditions are such that the self-field produced by the current is a significant fraction of the total field. The model is based on the asymptotic limit when time approaches infinity of Faraday’s equation written in terms of the magnetic vector potential. It uses a continuous E − J ?> relationship and takes the angular dependence of the critical current density on the magnetic flux density into account. The proposed model is used to estimate the critical current of superconducting devices such as cables, coils, and coils made of transposed cables with very high accuracy. The high computing speed of this model makes it an ideal candidate for design optimization.