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Numerical model for the determination of hysteresis loss through the drag force method

机译:拖曳力法测定磁滞损耗的数值模型

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To determine the hysteresis loss in a sample, usually the enclosed area of the B - H loop is evaluated. In the drag force method, based on a proper energy balance, the hysteresis loss is obtained by analyzing the drag force profile when slowly moving the sample forward and backward through the strong field of permanent magnets. A numerical time-stepping model is presented that calculates the drag force profile. At every time step, the sample is slightly moved. The model is based on 2D-FE computations including magnetic hysteretic material behaviour using the Preisach model. In order to improve the numerical stability, we reformulated the Maxwell equations in such a way that the material behaviour is described through differential permeabilities. Consequently, the basic unknown for the FEM becomes the time derivative of the vector potential. The drag force is obtained by using the Maxwell stress tensor. Simulations were carried out in which a sample was moved back and forth through the field of one or two permanent magnets. The numerical model is validated by measurements and by comparing the "drag force" hysteresis losses with the hysteresis losses computed conventionally by the integral of H.dB.
机译:为了确定样品中的磁滞损耗,通常会评估B-H回路的封闭区域。在拖曳力方法中,基于适当的能量平衡,通过分析在永磁体的强磁场中前后缓慢移动样本时的拖曳力分布,可以得到磁滞损耗。提出了一个数字时间步长模型,用于计算阻力分布。在每个时间步上,样品都会稍微移动。该模型基于2D-FE计算,包括使用Preisach模型的磁滞材料行为。为了提高数值稳定性,我们对麦克斯韦方程式进行了重构,以通过微分渗透率描述材料的行为。因此,FEM的基本未知数变为矢量势的时间导数。阻力是通过使用麦克斯韦应力张量获得的。进行了模拟,其中样品在一个或两个永久磁铁的磁场中来回移动。通过测量并通过将“阻力”磁滞损耗与传统上由H.dB积分计算的磁滞损耗进行比较来验证数值模型。

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