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Required accuracy of inductance measurement for current imbalance phenomena

机译:电流不平衡现象所需的电感测量精度

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摘要

Current imbalance can be estimated by the solution of the circuit equation, which depends on the result of the measurement of the self- and mutual inductances. Strand circuit is coupled with each other strongly, and therefore the matrix calculation is stiff. This situation leads to enhance the error of the measurement. In order to study this problem, we made a magnet, in which the cable was composed of the nine insulated strands, and measured the inductance matrix of the strand circuits by the LCR-meter. The inductance of the magnet is 11 mH, and the error of the measurement is the order of micro Henry to 10 mu H. The average coupling factor of the magnet is 0.9956, and therefore this inductance matrix is almost singular. Finally, we calculated the currents of the strand. The accuracy of the inductance measurement is the order of 5-6 digits. We used~(TM) Mathematica to solve the circuit equation, and we tested the accuracy of the calculation precision. Random number method is introduced to estimate the required accuracy of the inductance measurement. The required accuracy of the inductance measurement is the order of micro Henry in this magnet to obtain the accuracy of 5 percent for the strand currents.
机译:可以通过电路方程的解来估计电流不平衡,该方程取决于自感和互感的测量结果。子线电路相互耦合很强,因此矩阵计算很僵硬。这种情况导致测量误差的增加。为了研究这个问题,我们制作了一块磁铁,其中的电缆由9条绝缘绞线组成,并用LCR表测量了绞线电路的电感矩阵。磁体的电感为11 mH,测量误差约为10μH的微亨利量级。磁体的平均耦合系数为0.9956,因此该电感矩阵几乎是奇异的。最后,我们计算了股线的电流。电感测量的精度约为5到6位数。我们使用〜(TM)Mathematica求解电路方程,并测试了计算精度的准确性。引入随机数方法来估计所需的电感测量精度。电感测量所需的精度是该磁体中微亨利的量级,以使链电流达到5%的精度。

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