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arXiv 1812.04414physics.app-phphysics.comp-ph
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具有大规模HTS系统实时仿真能力的T-A均匀化和多尺度模型

T-A homogenized and multi-scale models with real-time simulation capabilities for large-scale HTS systems

Edgar Berrospe-Juarez, Víctor M R Zermeño, Frederic Trillaud, Francesco Grilli

摘要:

第二代高温超导带材的出现促进了大规模超导系统的发展。超导体的数学模型已经从简单的解析模型发展到复杂的数值模型。现有的解析模型只能估计单线或小阵列中的电磁量。数值模型,如H公式有限元模型是有用的分析更中型的系统,但它们的应用在大型系统是有问题的,由于在内存和计算时间方面的成本过高。因此,有必要制定新的战略来应对这一挑战。均匀化和多尺度方法是成功地简化了系统的描述,允许研究大规模系统的方法。最近,有效的计算已经实现了使用T-A配方。在这篇手稿中,我们分析了T-A公式中使用的元素的适当顺序。更重要的是,我们提出了一系列的适应同质化和多尺度的方法,以使其实现的T-A制定模型。通过与跑道线圈的H参考模型进行比较,验证了所提出的策略。计算时间和存储器需求大幅减少,直到可以对缓慢的斜坡周期执行实时仿真的程度。与此同时,比较表明,在局部和全局水平上,与参考模型的一致性非常好。

英文摘要:

The emergence of second-generation high temperature superconducting tapes has favored the development of large-scale superconductor systems. The mathematical models for superconductors have evolved from simple analytical models to complex numerical models. The available analytical models are just capable of estimating electromagnetic quantities in single wires or small arrays. The numerical models like the H formulation finite element models are useful for the analysis of more medium-size systems, but their application in large-scale systems is problematic due to the excessive cost in terms of memory and the computation time. Then it is necessary to devise new strategies to tackle this challenge. The homogenization and the multi-scale approach are methodologies that have successfully simplified the description of the systems allowing the study of large-scale systems. Recently, efficient calculations have been achieved using the T-A formulation. In this manuscript, we analyze the adequate order of the elements used in the T-A formulation. More importantly, we propose a series of adaptations to the homogenization and multi-scale methodologies in order to allow their implementation to the T-A formulation models. The proposed strategies are validated by means of comparing them with the H reference model of a racetrack coil. The computation time and memory demand are substantially reduced up to a point that makes it possible to perform real-time simulations for slow ramping cycles. At the same time the comparison demonstrates a very good agreement with respect to the reference model, both at a local and global level, is achieved.

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