Abstract

In this paper, we propose a method for calculating the inductive resistances of asynchronous motor windings at rotor eccentricity. The eccentricity results from the displacement of the rotor axis relative to the axis of the stator bore and is accompanied by an uneven air gap. It does not lead to an immediate failure of the asynchronous motor, but is accompanied by a change in almost all electromechanical characteristics and increased energy consumption. In addition, the tension between the stator and the rotor increases and leads to an increase in the air gap unevenness and the subsequent rotor touching of the stator, i.e., the motor output out of service. Consequently, the detection of the rotor eccentricity at the early occurrence stages is an important problem. This requires a mathematical model of a three-phase asynchronous motor with the rotor eccentricity. For such a model, it is necessary to determine the inductive resistances of all motor windings. We propose magnetic flux schemes through the stator phase windings and the short-circuited inductor rotor winding to calculate the inductive resistances. We also propose to determine the inductive resistances using the zero and first members of the series of the average specific conductivity of the air gap obtained by expanding it in the Fourier series.

中文翻译：

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转子偏心时异步电动机绕组的感抗计算

摘要

在本文中，我们提出了一种计算异步电动机绕组在转子偏心率时的电感电阻的方法。偏心由转子轴线相对于定子孔轴线的位移引起，并伴有不均匀的气隙。它不会导致异步电动机立即失效，但会伴随着几乎所有机电特性的变化和能耗的增加。另外，定子和转子之间的张力增加并且导致气隙不均匀性的增加以及随后的转子接触定子，即，电动机输出停止工作。因此，在早期出现阶段检测转子偏心是重要的问题。这需要具有转子偏心率的三相异步电动机的数学模型。对于这种模型，有必要确定所有电动机绕组的电感电阻。我们提出了通过定子相绕组和短路的电感器转子绕组的磁通量方案，以计算电感电阻。我们还建议使用通过在傅里叶级数中扩展气隙的平均比电导率序列的零和第一成员来确定电感电阻。