A Level-Set Based Topology Optimization for Maximizing the Torque of Synchronous Reluctance Machines

• Published in: IEEE transactions on magnetics 2024-03, Vol.60 (3), p.1-1
• Main Authors: Brun, O., Chadebec, O., Ferrouillat, P., Niyonzima, I., Luo, Z., Le Floch, Y., Siau, J., Vi, F., Gerbaud, L.
• Format: Article
• Language: English
• Subjects: Context; Electric power; Engineering Sciences; Finite element analysis; Finite element method; Level-Set method; Magnetostatics; Optimization; Reluctance machinery; Reluctance machines; Rotors; Sensitivity analysis; Synchronous Reluctance Machines; Topology; Topology Optimization; Torque; Torque Sensitivity Analysis
• ISSN: 0018-9464; 1941-0069
• DOI: 10.1109/TMAG.2023.3326878

The paper presents a Level-Set based topology optimization method for improving the magnetic torque of electrical motors such as synchronous reluctance machines using a 2D magnetostatic finite element context modelling. The novelty is the use of a fully analytical expression for the torque sensitivity analysis based on the virtual work principle which is more accurate and general than other methods, and its application to a Level-Set implementation. The numerical study of a synchronous reluctance machine is presented. Then, the Level-Set method is detailed in a general context. The corresponding analytical continuous sensitivity analysis using the adjoint method to maximize the torque is expressed and validated. Finally, the application to the optimization of the rotor of a synchronous reluctance machine is shown to illustrate the efficiency of the method.