In this article, a Hybrid Excitation Synchronous Machine (HESM) is optimally designed for a specified Hybridization Ratio (HR). A new formulation of the design problem is proposed to be tackled by the Non-dominated Sorting Genetic Algorithm II (NSGA-II), while minimizing the material cost. This formulation includes a more comprehensive explanation of the key concept, HR, which considers the soft and hard saturation effects in the HESM design. The HESM model is based on a 3D nonlinear Magnetic Equivalent Circuit (MEC). For faster convergence, the number of design variables is reduced using two statistical analyses, namely Analysis of Level and Analysis of Variance (ANOVA). A HESM is optimally designed for HR = 0.5 and validated by a commercial Finite Element Analysis (FEA) software.

中文翻译：

---

使用 NSGA-II 对特定混合比的混合励磁同步电机进行组件级优化

在本文中，混合励磁同步电机 (HESM) 针对指定的混合比 (HR) 进行了优化设计。提出了一种新的设计问题公式，由非支配排序遗传算法 II (NSGA-II) 解决，同时最大限度地减少材料成本。此公式包括对关键概念 HR 的更全面解释，该概念考虑了 HESM 设计中的软饱和和硬饱和效应。HESM 模型基于 3D 非线性磁等效电路 (MEC)。为了更快地收敛，使用两种统计分析来减少设计变量的数量，即水平分析和方差分析 (ANOVA)。HESM 针对 HR = 0.5 进行了优化设计，并通过商业有限元分析 (FEA) 软件进行了验证。