## 3 Results  
Following the proposed methodology as detailed in Section 2, aeroelastic simulations were conducted on the aforementioned simplified MBS model of the Vestas V52 in order to cover the DLCs listed in Table 3. The minimum and maximum simulated values (in rpm, kN and kNm, respectively) per factor across all simulations are listed in Table 5 along with information on which specific DLC led to each statistic and the time (in seconds) at which  
Figure 5: Illustration of a definition of a buffer for a given factor based on system overshoot. each statistic was reached measured since the beginning of each aeroelastic simulation. The times in the table are rounded to the nearest second, while the rotational speeds and 6-DOF loads are rounded to two decimal places. In the table, wind speed refers to the average wind speed (in m/s) of the simulated wind field or, in the case of DLC 6.1, the 50-year return period, which is indicated in the table as 50-year. Yaw in the table refers to yaw misalignment (in degrees) during the simulation. No single simulation generated both the maximum and minimum values of a given factor. In the case of My, two simulations, with different random seeds for the turbulence model, covering the same DLC and wind conditions resulted in both statistics, respectively. The simulated data was then processed to reach five discrete levels covering the range within the testing boundaries of each respective factor. Table 6 lists the resulting boundaries of the resulting factor levels, while Table 7 lists the parameter values tested at each factor level. As discussed in Section 2, Levels 1 and 5 are only one-sidedly bounded as indicated in Table 6 and they indicate the selected testing boundaries for each of the seven factors in Table 7, respectively. The algorithm detailed in Algorithm 2 was used to bin the simulated data into the factor levels and reach the boundaries listed in Table 6, while the parameter values, listed in Table 7, were defined using the algorithm detailed in Algorithm 3. \begin{table}
\begin{tabular}{c c c c c} \hline \hline \multirow{2}{*}{**Factors**} & \multicolumn{4}{c}{**Factor Value at Level Boundary (rpm, kN, kNm)**} \\ \cline{2-5}  & **1-2** & **2-3** & **3-4** & **4-5** \\ \hline n & 3 & 9 & 15 & 21 \\ \hline Fx & \(-36.94\) & 29.66 & 96.27 & 162.87 \\ \hline Fy & \(-145.81\) & \(-52.37\) & 41.07 & 134.51 \\ \hline Fz & \(-105.33\) & \(-93.92\) & \(-82.50\) & \(-71.08\) \\ \hline Mx & 55 & 165 & 275 & 385 \\ \hline My & \(-509.87\) & \(-202.69\) & 104.48 & 411.66 \\ \hline Mz & \(-418.91\) & \(-184.57\) & 49.78 & 284.12 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Factor Level Boundaries. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multirow{2}{*}{**Factors**} & \multirow{2}{*}{**Time (s)**} & \multirow{2}{*}{
\begin{tabular}{c} **Minimum/** \\ **Maximum** \\ \end{tabular} } & \multicolumn{4}{c}{**Simulated Wind Conditions [43]**} \\ \cline{3-6}  & & & **DLC** & **Wind Speed (m/s)** & **Yaw (deg)** \\ \hline \multirow{2}{*}{n} & 225 & \(-1.09\) & 1.4 & 12 & 0 \\ \cline{2-6}  & 196 & 46.73 & 4.2 & 25 & \(+4\) \\ \hline \multirow{2}{*}{Fx} & 200 & \(-78.05\) & 4.2 & 25 & \(-4\) \\ \cline{2-6}  & 200 & 217.97 & 4.2 & 25 & \(-12\) \\ \hline \multirow{2}{*}{Fy} & 100 & \(-213.93\) & 6.1 & 50-year & \(+15\) \\ \cline{2-6}  & 161 & 201.37 & 6.1 & 50-year & \(-15\) \\ \hline \multirow{2}{*}{Fz} & 692 & \(-111.04\) & 1.3 & 25 & 0 \\ \cline{2-6}  & 297 & 20.28 & 6.1 & 50-year & 0 \\ \hline \multirow{2}{*}{Mx} & 161 & \(-123.52\) & 1.4 & 12 & 0 \\ \cline{2-6}  & 198 & 602.72 & 4.2 & 25 & \(+4\) \\ \hline \multirow{2}{*}{My} & 209 & \(-737.18\) & 1.4 & 16 & 0 \\ \cline{2-6}  & 209 & 628.05 & 1.4 & 16 & 0 \\ \hline \multirow{2}{*}{Mz} & 158 & \(-595.65\) & 1.4 & 12 & 0 \\ \cline{2-6}  & 337 & 445.88 & 1.3 & 25 & 0 \\ \hline \hline \end{tabular}
\end{table} 
Table 5: Factor Statistics from Aeroelastic Multibody Simulations of Vestas V52 WT.