## 3 Detailed Design Study for 45 kW-Class MG-PMSM with Concentrated Winding
### Derivation of the Detailed Design Model for 45 kW-Class MG-PMSM with Concentrated Winding  
In this research, the detailed design of the 45 kW-class MG-PMSM model with concentrated winding derived by topology A was conducted. Figure 10 shows the detailed design parameters selected to derive the final 45 kW MG-PMSM model and the results of the sensitivity analysis of parameters. As shown in Figure 10, the yoke width, PM thickness, and pole piece arc ratio are set as variable parameters, and it can be seen that the pole piece rotor torque and Back-EMF THD do not react sensitively according to the yoke width change. Figure 11 shows the final design model and magnetic flux density distribution of the 45 kW-class MG-PMSM with a concentrated winding. The detailed values of the design variables are shown in Figure 11. Figure 12 shows the Back-EMF, rated torque, and efficiency characteristics of the final design model derived by the analytical method. Finally, Table 6 shows the derivation results of the detailed design model of 45 kW-class MG-PMSM with a concentrated winding. In conclusion, through the detailed design of the final model, the rated current of the 45 kW-class MG-PMSM with concentrated winding could be reduced by 23% and the volume by 9.5%, and the efficiency could be increased by 0.2%.  
\begin{table}
\begin{tabular}{c c} \hline \hline
**Contents** & **Value** \\ \hline Outer Dia. Of stator/Stack length/Axial length with end turns & 520/160/190 mm \\ \hline DC link voltage/\(\mathrm{I}_{\mathrm{Phase}}\) @ Rated speed & 750 V\({}_{\mathrm{dc}}\)/199 A\({}_{\mathrm{rms}}\) \\ \hline \(\mathrm{T}_{\mathrm{ave\_rated}}\)/Torque ripple @ Rated speed & 2083 Nm/6.8\% \\ \hline THD of Back-EMF (No-load/Full-load) @ Rated speed & 4.0/4.2\% \\ \hline Back-EMF\({}_{\mathrm{Phase\_fund}}\) @ Max. speed & 385 V \\ \hline Copper loss/Iron loss/Edddy current loss in PM @ Rated speed & 883/85/524 W \\ \hline Efficiency @ Rated speed & 96.9\% \\ \hline \hline \end{tabular}
\end{table}
Table 6: Derivation results of the Detailed Design Model of 45 kW-class MG-PMSM with Concentrated winding.  
\begin{table}
\begin{tabular}{c c c} \hline \hline
**Contents** & **Value** \\ \cline{2-3}  & **Model (Topology) A** & **Model (Topology) B** \\ \hline Stator slots/Stator poles/Pole pieces/Rotor poles & 12/8/13/18 & 12/10/22/10 \\ \hline Gear ratio 1 (Pole pieces/Stator pole pairs) & 3.25 & 4.4 \\ \hline Gear ratio 2 (Rotor pole pairs/Stator pole pairs) & 2.25 & 1 \\ \hline Gear ratio 3 (Pole pieces/Rotor pole pairs) & 0.722 & 4.4 \\ \hline Outer Dia. Of stator/Stack length/Axial length with end turns & 520/180/210 mm & 520/265/305 mm \\ \hline \(\mathrm{I}_{\mathrm{Phase}}\) @ Rated speed & 258 A\({}_{\mathrm{rms}}\) & 581 A\({}_{\mathrm{rms}}\) \\ \hline \(\mathrm{T}_{\mathrm{ave\_rated}}\)/Torque ripple @ Rated speed & 2068 Nm/10.7\% & 2045 Nm/9.1\% \\ \hline THD of Back-EMF (No-load/Full-load) @ Rated speed & 4.5/4.7\% & 12.0/9.3\% \\ \hline Back-EMF\({}_{\mathrm{Phase\_fund}}\) @ Max. speed & 390 V & 374 V \\ \hline Copper loss/Iron loss/Eddy current loss in PM @ Rated speed & 1325/101/415 W & 1034/177/1359 W \\ \hline Efficiency @ Rated speed & 96.7\% (2.98\%\(\blacktriangle\)) & 93.9\% \\ \hline \hline \end{tabular}
\end{table}
Table 5: Comparisons of 45 kW-class MG-PMSM Design Models with Concentrated winding.  
Figure 11: Final design model and magnetic flux density distribution of the 45 kW-class MG-PMSM with a concentrated winding.  
Figure 10: Detailed design parameters selected to derive the final 45 kW MG-PMSM model and the results of sensitivity analysis of parameters: (**a**) Design parameters for sensitivity analysis; (**b**) Effects of change in PP arc-ratio; (**c**) Effects of change in PM thickness; (**d**) Effects of change in yoke width.