This article describes a novel analytical methodology for eddy current losses simulation in the windings of permanent magnet synchronous machines. The methodology is based on subdomain modeling technique in conjunction with solving of ordinary differential equations system. The main advantage of the proposed method is high accuracy and significant reduction of simulation time in comparison with finite-element modeling (FEM) technique that is frequently used for eddy current loss modeling. The proposed model allows fast and accurate evaluation of proximity and skin effect in conductors in time domain for an arbitrary current waveform and machine duty cycle. The main difference from previously presented analytical methods is the possibility to evaluate losses for a wider range of conductors geometries, regardless their shape, dimensions, location in the stator slots, and rotor speed. The main contribution and novelty of the proposed analytical approach is simultaneous implementation of subdomain modeling technique and strands segmentation concept followed by the eddy current effect representation through the equivalent circuit. This approach allows reducing the computational time while keeping the accuracy close to the FEM result. The proposed model was compared to FEM, using different types and sizes of conductors and also validated experimentally.

中文翻译：

---

永磁同步电机电枢绕组涡流损耗仿真的分析方法


本文介绍了一种用于永磁同步电机绕组涡流损耗模拟的新颖分析方法。该方法基于子域建模技术以及常微分方程组的求解。与涡流损耗建模中常用的有限元建模（FEM）技术相比，该方法的主要优点是精度高，并且大大减少了仿真时间。所提出的模型允许在任意电流波形和机器占空比的时域中快速准确地评估导体中的邻近效应和集肤效应。与之前提出的分析方法的主要区别是可以评估更广泛的导体几何形状的损耗，无论其形状、尺寸、在定子槽中的位置以及转子速度。所提出的分析方法的主要贡献和新颖性是同时实现子域建模技术和股线分割概念，然后通过等效电路表示涡流效应。这种方法可以减少计算时间，同时保持接近 FEM 结果的精度。使用不同类型和尺寸的导体将所提出的模型与 FEM 进行比较，并进行了实验验证。