Nowadays, finite element analysis represents the most accurate tool to analyse electrical machines. However, the time domain resolution of electromagnetic problem, in some cases, requires long simulation time due to the induced nature of the currents. The computational burden increases when the machine features a skewed layout on the stator or rotor structures, since this requires 2D multi-slices approximated analysis or even a full 3D model. In this paper, a general analytical method to model electromagnetic devices is applied to a squirrel cage induction motor featuring a skewed rotor structure. The modelling approach is wisely implemented and adapted to pursue a fair balance between accuracy of the analysis and computational burden, taking advantage of all the symmetries existing in the rotor cage of the machine, aiming to minimize the model complexity. A comparative analysis in term of the inductances between analytical and finite element is proposed. The results provided by the model developed are compared with respect to the corresponding values provided by both finite element and experimental test performed on the reference machine. Such comparisons show that the proposed model is actually able to achieve a pretty good balance between accuracy and computational efficiency.

中文翻译：

---

鼠笼感应电机建模和分析的解析数值方法


如今，有限元分析是分析电机最准确的工具。然而，在某些情况下，由于电流的感应性质，电磁问题的时域分辨率需要很长的仿真时间。当机器的定子或转子结构具有倾斜布局时，计算负担会增加，因为这需要 2D 多切片近似分析甚至完整的 3D 模型。在本文中，电磁设备建模的通用分析方法应用于具有斜转子结构的鼠笼感应电机。建模方法被明智地实施和调整，以追求分析精度和计算负担之间的公平平衡，利用机器转子笼中存在的所有对称性，旨在最大限度地减少模型复杂性。提出了解析元和有限元之间电感的比较分析。将所开发模型提供的结果与有限元和在参考机器上执行的实验测试提供的相应值进行比较。这样的比较表明，所提出的模型实际上能够在精度和计算效率之间实现相当好的平衡。