This paper presents a framework for the topology optimization of electro-mechanical design problems. While the design is parametrized by means of a level set function defined on a fixed mesh of the design domain, mesh adaptation is used to generate a second mesh that conforms to the domain delineated by the iso-zero of the level set function. This body-fitted mesh is used in the finite element simulation of the physical problem in order to accurately represent the electromagnetic interface phenomena. An appropriate combination of the two geometry representations is obtained through the velocity field to ensure a consistent design space as the topology optimization process unfolds. The method is applied to the joint electro-mechanical optimization of a synchronous reluctance machine (SynRM).

本文提出了一个用于机电设计问题拓扑优化的框架。虽然设计是通过在设计域的固定网格上定义的水平集函数进行参数化的，但网格自适应用于生成第二个网格，该网格符合由水平集函数的 iso-0 所描绘的域。这种贴体网格用于物理问题的有限元模拟，以准确表示电磁界面现象。通过速度场获得两种几何表示的适当组合，以确保在拓扑优化过程展开时具有一致的设计空间。该方法应用于同步磁阻电机 (SynRM) 的联合机电优化。