Combined Parameter and Shape Optimization of an Electric Machine with Isogeometric Analysis
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It is often convenient to represent the geometry of a simulation model by a combination of certain parameters like radii and lengths as well as freeform shape segments. The parameter set is necessary for a general definition and the overall behavior of the model. The shape modification is important to allow for more detailed improvements which are not feasible with parameters alone. Yet, optimization software commonly allows for only one optimization at a time, so parameter and shape optimization have to be carried out in a sequential way. To solve this issue, an efficient and straightforward way to combine parameter and shape optimization is presented. The implementation is performed in an Isogeometric Analysis (IGA) framework, i.e., a Finite Element (FE) setting with spline basis functions. The open source software GeoPDEs is used and the process is tested on a permanent magnet synchronous motor (PMSM) in 2D.