## 4 Objectives and Parameters of the Optimization
### FaSHM Optimization Results  
As Figure 7 shows, the FaSHM optimization process took 180 calls of the objective function, and its value was significantly reduced. The losses in coasting mode are mainly concentrated in the stator laminated stacks. Its value is 705 W in the design presented in [14] and 639 W in the new design. Other motors' performance characteristics are presented in Table 6. \begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline
**Parameter** & \multicolumn{4}{c}{**Design Optimized in [14]**} & \multicolumn{4}{c}{**New Design**} \\ \hline
**Operating Point, \(i\)** & **1** & **2** & **3** & **4** & **5** & **1** & **2** & **3** & **4** & **5** \\ \hline Rotational speed \(n\), rpm & 4280 & 4280 & 2854 & 0 & 1427 & 4280 & 4280 & 2854 & 0 & 1427 \\ Amplitude of the armature phase current & 370 & 541 & 541 & 529 & 531 & 331 & 536 & 537 & 530 & 532 \\ \(I_{arm}\), A & 370 & 541 & 541 & 529 & 531 & 331 & 536 & 537 & 530 & 532 \\ Efficiency, \% & 95.0 & 95.7 & 96.5 & 0 & 95.7 & 95.0 & 95.6 & 96.4 & 0 & 95.5 \\ Output mechanical power \(P_{mech}\), kW & 185.3 & \(-\)370.6 & \(-\)370.6 & 0 & 185.3 & 185.3 & \(-\)370.6 & \(-\)370.6 & 0 & 185.3 \\ Torque, N-m & 413.4 & \(-\)826.9 & \(-\)1240 & 1240 & 1240 & 413.4 & \(-\)826.9 & \(-\)1240 & 1240 & 1240 \\ Input electrical power, kW & 195.0 & \(-\)354.8 & \(-\)357.7 & 5.6 & 193.6 & 195.0 & \(-\)354.4 & \(-\)357.2 & 6.1 & 194.1 \\ Mechanical loss, kW \({}^{*}\) & 3.55 & 3.55 & 1.06 & 0 & 0.14 & 3.55 & 3.55 & 1.06 & 0 & 0.14 \\ Armature DC copper loss, kW & 2.20 & 4.71 & 4.71 & 4.49 & 4.53 & 1.85 & 4.83 & 4.87 & 4.74 & 4.78 \\ Armature eddy-current copper loss, kW & 1.11 & 2.70 & 1.99 & 0 & 0.55 & 0.61 & 1.78 & 1.33 & 0 & 0.36 \\ Stator lamination loss, kW & 2.26 & 3.56 & 3.81 & 0 & 1.90 & 3.04 & 4.46 & 4.57 & 0 & 2.12 \\ Rotor lamination loss, kW & 0.04 & 0.09 & 0.07 & 0 & 0.02 & 0.11 & 0.23 & 0.19 & 0 & 0.05 \\ Excitation copper loss, kW & 0.55 & 1.21 & 1.21 & 1.13 & 1.14 & 0.51 & 1.37 & 1.38 & 1.32 & 1.33 \\ Total loss, kW & 9.72 & 15.81 & 12.85 & 5.62 & 8.27 & 9.68 & 16.22 & 13.41 & 6.06 & 8.77 \\ Average losses according to Formula (2), kW & & 7.05 & & & & & 7.16 & & & \\ Number of turns in armature winding & & 6.58 & & & & & 5.70 & & & \\ Power factor & 0.949 & \(-\)0.989 & \(-\)0.963 & 1.0 & 0.906 & 0.99 & \(-\)0.99 & \(-\)0.96 & 1.00 & 0.93 \\ Line-to-line voltage amplitude \(V_{arm}\), V & 640 & 758 & 797 & 10 & 467 & 687 & 757 & 792 & 11 & 452 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: FaSHM optimization results. \begin{table}
\begin{tabular}{c c} \hline \hline
**Parameter** & **Value** \\ \hline Shaft radius \(R_{shaft}\), mm & 40 \\ Stator lamination yoke \(h_{s\ yoke}\), mm & 21 \\ Rotor lamination yoke \(h_{r\ yoke}\), mm & 17 \\ Stator wedge thickness, \(\epsilon_{2}\), mm & 2 \\ Stator unfilled area thickness, \(\epsilon_{1}\), mm & 3 \\ \hline \hline \end{tabular}
\end{table} 
Table 5: _Cont._  
Figure 7: FaSHM optimization progress. Figure 8 shows the instantaneous magnitude of the magnetic flux density of the design presented in [14] and the new design. Figure 9 shows the minimum value (with maximum absolute value) of the demagnetization field over the machine cycle in operating point 4 since a short-term application of the demagnetization field stronger than the coercivity of the magnets results in their demagnetization. The entire magnet area in the new design is not subjected to the demagnetization field with an absolute value of more than 2.5 kOe, while the large area of the magnets in the design presented in [14] is. The absolute value of the demagnetization field does not exceed 3 kOe in this case. 2. The main advantage of the new FaSHM design is a significantly increased resistance to demagnetization of magnets. The coercive force of the Y30H-2 magnet is about 4 kOe [35]. In the design optimized in [14], the maximum demagnetizing field is 3 kOe, and the margin is \((4-3)=1\) kOe. In the new design, the maximum demagnetizing field is 2.5 kOe, and the margin is 1.5.