# Estimating Weibull Parameters Using Mabchour's Method (MMab) for Wind Power at RAWA City, Iraq
## 3 Results and Discussions  
In this work, the wind data and weather variables for Rawa city, Iraq, were collected and analyzed to explore the accuracy and the time consumed using [PERSON]'s method (MMab) of Weibull distribution parameters. Most data of this analysis were measured hourly, monthly and annually, based on MERRA-2 meteorological [14]. The accuracy of the results extracted by (MMab) was verified by comparing the results of the Whipple transactions extracted from the site data (2017) at two heights (10 m and \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline
**Site** & **Lat. (\({}^{\circ}\))** & **Lon. (\({}^{\circ}\))** & **Elev. (m)** & **T (\({}^{\circ}\)C)** & **RH (\%)** & \(\
u\) **(m/s)** \\ \hline Talafar & 36.35 & 42.35 & 348 & 20.44 & 42.05 & 3.15 \\ \hline Nasiriyah & 30.84 & 46.06 & 6 & 27.24 & 44.31 & 3.91 \\ \hline Baghdad & 33.44 & 44.31 & 35 & 25.29 & 36.1 & 3.41 \\ \hline RAWA & 34.46 & 41.92 & 160 & 21.4 & 40.47 & 4.14 \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Annual statistical characteristics of study area (2017, 2018, and 2019) at 10 m.  
Figure 4: The wind height diagram for RAWA city. Figure 3: Location of study area (RAWA city). 50 m) with the results obtained using the (Weibull parameter estimates) formula, using Matlab software, as shown in Table 2. It was found that the results are very close, and this indicates the accuracy of the results of the (MMab). Tables 3-8 show the information about the optimal site, based on monthly and annual mean wind speed; several observations in hours, minimum and maximum wind speed, standard deviation, and (\(COV\)) turbulence intensity at a height of 10 m and 50 m during the period of (2017-2019). The maximum values of hourly mean wind speeds at a height of 10 m for (2017, 2018 and 2019) were found to be (10.2, 10.2 and 10.5 m/s), respectively, while the minimum values at a height of 10 m were found to be (0.46, 0.43 and 0.27 m/s), respectively, in RAWA city. From Table 3 and Figures 1 and 2, it can be observed that the better results of wind speed appeared at a height of 50 m compared with the height in RAWA city. \begin{table}
\begin{tabular}{c c c c c c c c c c c c c c} \hline \hline
**Height 50 m** & **Jan.** & **Feb.** & **Mar.** & **Apr.** & **May** & **Jun.** & **Jul.** & **Aug.** & **Sep.** & **Oct.** & **Nov.** & **Dec.** &
\begin{tabular}{c} **Yearly** \\ **Mean** \\ \end{tabular} \\ \hline N(h) & 744.0 & 672.0 & 744.0 & 720.0 & 744.0 & 720.0 & 744.0 & 744.0 & 720.0 & 744.0 & 720.0 & 744.0 & 8760 \\ \hline \(v\) & & & & & & & & & & & & \\ mean & 3.78 & 3.52 & 4.5 & 4.76 & 5.8 & 6.34 & 7.02 & 5.72 & 4.72 & 4.49 & 3.77 & 4.3 & 4.9 \\ \hline \(v\) max. & 13.7 & 13.82 & 11.5 & 15.71 & 13.71 & 11.96 & 11.52 & 10.26 & 10.25 & 14.93 & 11.6 & 13.96 & 12.75 \\ \hline \(v\) min. & 0.16 & 0 & 0.28 & 0.1 & 0.9 & 1.2 & 2.4 & 0.9 & 0.15 & 0.2 & 0.02 & 0.33 & 0.56 \\ \hline \(\alpha\) & 2.05 & 2.49 & 2.3 & 2.43 & 2.48 & 2.19 & 1.95 & 1.67 & 2.1 & 2.08 & 1.87 & 2.35 & 2.16 \\ \hline \(P_{M}\) & 33.08 & 26.71 & 56.18 & 13.48 & 119.5 & 156.08 & 211.8 & 114.6 & 64.4 & 55.4 & 32.8 & 49.7 & 77.8 \\ \hline \(COV\) & 54.25 & 70.6 & 51.02 & 51.08 & 42.75 & 34.63 & 27.8 & 29.21 & 44.58 & 46.36 & 49.63 & 54.4 & 46.36 \\ \hline \hline \end{tabular}
\end{table} 
Table 4: The monthly of mean wind speed in (m/s) data for selected wind station at 50 m height. (_COV_) coefficient of variation during the period 2017. \begin{table}
\begin{tabular}{c c c c c c c c c c c c c} \hline \hline
**Height 50 m** & **Jan.** & **Feb.** & **Mar. ** & **Apr. ** & **May** & **Jun. ** & **Jul. ** & **Aug.** & **Sep.** & **Oct.** & **Nov.** & **Dec.** & \begin{tabular}{c} **Yearly** \\ **Mean** \\ \end{tabular}  \\ \hline N(h) & 744.0 & 672.0 & 744.0 & 720.0 & 744.0 & 720.0 & 744.0 & 720.0 & 744.0 & 720.0 & 744.0 & 8760 \\ \hline \(v\) & & & & & & & & & & & & \\ mean & 3.78 & 3.52 & 4.5 & 4.76 & 5.8 & 6.34 & 7.02 & 5.72 & 4.72 & 4.49 &The results of the statistical analysis of the RAWA site for both heights, 10 m and 50 m, are shown in Tables 9-11, respectively.