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Eddy Currents in a Prolate Spherodial wit SYmmetric Current Injection

机译:对称对称注入扁球面的涡流。

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In this paper the electromagnetic fields of a prolate sphero-dial are calcualted for a symmetric current injection at the north and south pole. Considering the direct current (dc) case this can be done by expanding the coundary condition into eigenfunctions of the equation (separation of variables). THe resistance and the internal inductance of the prolate spherodial could be evaluated by the calculated fields. Inthe alternating current (ac) case the separtion leads to strong numerical problems. Hence a formula is derived which needs only a basis of L~2 solutions of the PDE to expand the boudnary conditions. The solutions of the similar spherical problems re transformed into the spherodical system and the formula is applied.
机译:本文计算了扁球形球体的电磁场,以在南极和北极对称地注入电流。考虑直流电(dc)情况,可以通过将共轭条件扩展为方程的本征函数(变量分离)来完成。扁球体的电阻和内部电感可以通过计算得出的场进行评估。在交流电(ac)的情况下,分离会导致严重的数值问题。因此,推导了一个公式,该公式仅需要PDE的L〜2解的基础即可扩展边界条件。将相似的球形问题的解决方案转换为球形系统,并应用公式。

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