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首页> 外文期刊>Magnetics, IEEE Transactions on >Simulating the Trapped src='/images/tex/442.gif' alt='B'> Field in Bulk Superconductors Using a Mutual Inductance Coupling Technique
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Simulating the Trapped src='/images/tex/442.gif' alt='B'> Field in Bulk Superconductors Using a Mutual Inductance Coupling Technique

机译：使用互感耦合技术在体超导体中模拟被困的 src =“ / images / tex / 442.gif” alt =“ B”> 场

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摘要

The field and current induced in a trapped field magnet during a transient current excitation is complicated by the fact that the conductivity of the material changes wildly depending on both the magnitude of the induced current and the local $B$ field. A mutual inductance approach is presented for solving this coupled problem; it involves discretizing the bulk superconductor into cells and precomputing the inductance coupling matrix of all cells with one another and with the excitation coils. The benefits of this approach are that the numerical simulation is rapid and flexible. The latter is important because the conductivity of the individual cells is dependent on the current density, the magnetic field density magnitude, and the temperature. The proposed approach allows the modeling of a very sharp $Jhbox{-}E$ relationship which has proved problematic using conventional finite element approaches. In addition, a phenomenological model relating the critical current density to the field is introduced for these tests in place of the Kim model. The field simulation is tested with a challenging dwell time experiment in which the trapped field above a bulk superconductor is predicted for various excitation current hold times.
机译：瞬态电流激励过程中在被困磁场中感应的磁场和电流由于以下事实而变得复杂：材料的电导率随感应电流的大小和局部 $ B $ 字段。提出了一种互感方法来解决该耦合问题。它涉及将大块超导体离散化成单元，并彼此之间以及与励磁线圈一起预先计算所有单元的电感耦合矩阵。这种方法的好处是数值模拟快速而灵活。后者很重要，因为各个单元的电导率取决于电流密度，磁场密度大小和温度。所提出的方法允许对非常尖锐的 $ Jhbox {-} E $ 关系进行建模，事实证明，使用常规有限元方法存在问题方法。此外，代替Kim模型，为这些测试引入了一种将临界电流密度与磁场相关的现象学模型。使用具有挑战性的停留时间实验对场模拟进行测试，在该实验中，针对各种励磁电流保持时间预测了体超导体上方的俘获场。

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