## 4 Simulation and Experiment
Functions of linear regression analysis have been presented alongside the figure and the prediction interval. The statistics are listed in Table 2.  
Figure 5: Field distribution via finite element method (FEM) simulation: (**a**) Flux density; (**b**) Secondary eddy current density. Figure 6: Structure on the platform: (**a**) Overall structure for the experiment; (**b**) LS-secondary DLIM with an aluminum plate. Coefficients in the curves related to the theoretical and measured data implies that the data measured during the experiment were slightly smaller than the theoretical data. This tendency correlates with the slots arranged along the radius. Although the diameter of the secondary plate was large enough to consider secondary motion to be a translational motion, the width of the slots near the rim were larger than those closer to the interior, which resulted in a slightly enlarged end \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline
**Characteristics** & **Figure** & \begin{tabular}{c} **Significance** \\ **Level** \\ \end{tabular} & \begin{tabular}{c} **Correlation** \\ **Coefficient** \\ \end{tabular} & \begin{tabular}{c} **\(F\)-Test** \\ **Statistic** \\ \end{tabular} & \
\begin{tabular}{c} **\(F\)-Test** \\ **Probability** \\ \end{tabular} &
\begin{tabular}{c} **Error Variance** \\ \end{tabular} \\ \hline Power factor & 7a & 0.05 & 0.9878 & 730.23 & 6.3029 \(\times 10^{-10}\) & 1.6038 \(\times 10^{-5}\) \\ Power factor & 7b & 0.05 & 0.9122 & 1015.9 & 1.4469 \(\times 10^{-10}\) & 1.1568 \(\times 10^{-5}\) \\ Thrust & 7c & 0.05 & 0.9931 & 1298.5 & 4.8314 \(\times 10^{-11}\) & 1.8070 \\ Thrust & 7d & 0.05 & 0.9984 & 5701.4 & 6.3408 \(\times 10^{-14}\) & 0.4138 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Linear regression statistics in Figure 7.  
Figure 8: Regression results comparing the theoretical, simulated and measured data: (**a**) Theoretical data of power factor vs. simulation data of power factor; (**b**) Theoretical data of power factor vs. measured data of power factor; (**c**) Theoretical data of thrust vs. simulation data of thrust; (**d**) Theoretical data of thrust vs. measured data of thrust. Figure 7: Fitting curves showing the characteristics vs. slip of secondary speed: (**a**) Power factor; (**b**) Thrust. leakage inductance of the primary. This phenomenon was also observed in the equivalent circuit of the LS-secondary DLIM. In the quantile table for _F_-test, _F_-test statistics for both the power factor and thrust are larger than \(F_{0.95}\)(1,9) = 5.12, which proves that regression functions in Figure 8 are sufficient. The EM shear stress was also validated via simulation and experimentations, shown in Figure 9. On one hand, based on Equation (8), the simulated data were calculated via 2D field analysis. Since the 2D simulation omits the transverse end of the secondary, the flux density in the air gap is larger than its theoretical value, ultimately leading to larger EM shear stress with a maximum relative error of 8.21%. On the other hand, the measured EM shear stress was calculated via Equation (11). Due to radial ladders on the platform secondary, the area where the EM thrust works is larger than the same LS-secondary with straight ladders. Thus, the EM shear stress becomes smaller than the theoretical counterpart, with a maximum relative error of 12%. Considering the above reasonable factors for error, the numerical calculation of EM shear stress can prove to be accurate enough to estimate whether the LS-secondary DLIM fits the permitted cooling condition listed in [17]. Based on the fitting curves, the maximum value of structural parameters were calculated as \(\sigma_{\text{max}}\) = 9.24 kPa, \(\tau_{\text{max}}\) = 4.28 kPa, and \(k_{\text{max}}\) = 3.57 \(\times\) 10\({}^{-6}\) mm, much lower than the practical standard of aluminum ladders. Therefore, the results of the numerical analysis based on an equivalent circuit have been shown to be both in good agreement theoretically with those of both the simulation and experiment, and effective in practice.