Computationally efficient topology optimization for the SynRMs based on the torque curve interpolation

This study proposes the SIMP-based topology optimization which can design a high-torque synchronous reluctance motor (SynRM) in an efficient way. Although it is crucial to simultaneously optimize a SynRM design and the corresponding current-phase angle for the maximum performance, most studies to date have conducted design optimization at a fixed current-phase angle for simplicity. It is also difficult to consider the magnetic nonlinearity and complicated design features in topology optimization. To solve the above issue, this study expresses the optimal current-phase angle (& beta;((MTPA))) for the SynRM as a function of design variables (& rho;). To efficiently determine & beta;((MTPA))(& rho;), the average torque curve is interpolated by using the modified Akima method. For interpolation, three-time electromagnetic finite element (FE) analyses are conducted at every iteration. The structural FE analysis is also performed at every iteration to obtain a structurally meaningful design. Through the above procedure, the SynRM design and the corresponding current excitation can be simultaneously optimized. Optimization results are discussed in terms of computational accuracy and efficiency, compared with other methods.