Reciprocity relations for the mutual inductances between orthogonal axis windings in saturated salient-pole machines
Reciprocity relations for the mutual inductances between orthogonal axis windings in saturated salient-pole machines
复制标题
饱和凸极电机中正交轴绕组间互感的互易关系
DOI：
10.1109/28.52681
复制
发表时间：
1990
影响因子：
4.4
通讯作者：
J. Willems
中科院分区：
文献类型：
--
作者：
J. Melkebeek;J. Willems
文献中已经证明，电机中的饱和会导致正交轴绕组之间的磁链。因此，这种磁力耦合应包含在饱和电机(小信号)动态分析的数学模型中。在光滑气隙电机中，由于对称性，由此产生的增量互感必须相等，而在凸极型电机中，假设的饱和模型不能解决线性电感众所周知的互易性是否仍然适用于这些饱和互感的问题。结果表明，互易性可以推广到这些情况，只要损失是可以忽略的，或者像机器分析中通常的那样单独建模。作为推论，推导出正交绕组自感的条件，从而使总磁化电流可以用来表征两轴上的饱和程度。>；
It has been demonstrated in the literature that saturation in electrical machines leads to a flux linkage between orthogonal axis windings. Hence this magnetic coupling should be included in the mathematical model for the (small-signal) dynamic analysis of saturated machines. While in smooth air-gap machines the resulting incremental mutual inductances must be equal because of symmetry, in salient-pole-type machines the assumed saturation models do not settle the question whether the reciprocity property, which is well-known for linear inductors, is still valid for these saturated mutual inductances. It is shown that the reciprocity property can be extended to these cases, provided the losses are either negligible or modeled separately, as is usual in machine analysis. As a corollary, a condition is derived for the self-inductances of the orthogonal windings so that the total magnetizing current can be used to characterize the saturation level in both axes. >