# A Spectrum Correction Method Based on Optimizing Turbulence Intensity
## 3 Results and Discussion
### Determine the Analog Frequency Range \([F_{max},F_{min}]\)
Comparison of the standard deviation, standard deviation's bias, and turbulence intensity of the simulated wind speed before and after modification is shown in Figure 8. Among which, in Figure 8a,c,e, the line of the 'Corrected Simulation' represents the standard deviation/standard deviation's deviation/turbulence intensity of the fluctuating wind speed that is simulated by corrected Kaimal spectrum and generated by 40 points in a one-dimensional simulated wind field; the line of the 'Original Simulation' represents the standard deviation/standard deviation's deviation/turbulence intensity of the fluctuating wind speed that is simulated by the Kaimal spectrum and generated by 40 points in a one-dimensional simulated wind field; the line of the 'Corrected mean value' represents the mean value of the simulation results from the corrected Kaimal spectrum among 40 points in a one-dimensional simulated wind field; the line of the 'Original mean value' represents the mean value of the simulation results from the Kaimal spectrum among 40 points in a one-dimensional simulated wind field; in Figure 8e, the line named 'Defined' represents the defined turbulence intensity \(I_{T}\); the line named 'Referenced' represents the reference turbulence intensity \(I_{ref}\); in Figure 8b,d,f, the surface named 'Corrected' \begin{table}
\begin{tabular}{c c c c} \hline \hline
**Mock Generated Objects** & & **Uncorrected** & **Corrected** \\ \hline \multirow{3}{*}{simulated standard deviation \(\delta\)} & Maximum & 2.7103 & 2.4802 \\  & Minimum & 2.1604 & 1.9818 \\  & Average & 2.4883 & 2.2954 \\ \hline \multirow{3}{*}{simulated standard deviation’s bias \(\hat{t}\)} & Maximum & 0.1925 & 0.1280 \\  & Minimum & 0.0024 & 0.0031 \\ \cline{1-1}  & Average & 0.1020 & 0.01 \\ \cline{1-1}  & \multicolumn{1}{c}{} & 0.1755 & 0.1619 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Parameters’ contrast between being corrected and uncorrected. Figure 6: 10 min fluctuating wind speed time history diagram of points: (**a**) One-dimensional space for points 20, 21, 40; (**b**) Two-dimensional space for points 1, 25, 49.  
represents the standard deviation/standard deviation's deviation/turbulence intensity of the fluctuating wind speed of the points varying along with the simulated heights generated by the corrected Kaimal spectrum in a two-dimensional wind field; the surface named 'Uncorrected' represents the standard deviation/standard deviation's deviation/turbulence intensity of the fluctuating wind speed of the points varying along with the simulated heights generated by the Kaimal spectrum in a two-dimensional wind field; and the surface named 'Defined' represents the defined standard deviation/turbulence intensity of the fluctuating wind speed of the points varying along the simulated heights. Figure 7: The power density spectrum fitting: (**a**) One-dimensional simulated point 20 being corrected and uncorrected; (**b**) Two-dimensional simulated point 1 being corrected. ; (**c**) One-dimensional simulated point 21 being corrected and uncorrected; (**d**) Two-dimensional simulated point 25 being corrected; (**e**) One-dimensional simulated point 40 being corrected and uncorrected; (**f**) Two-dimensional simulated point 49 being corrected. Concerning the longitudinal one-dimensional space spectrum correction method and the lateral spectrum and the vertical spectrum parameters in Table 4, 20 evenly distributed simulation points are set to verify whether the compensate correction method suggested is applicable for the lateral spectrum and the vertical spectrum.