QUESTION $1[20$ MARKS$]$

Given the data of three vertical$-$axis wind turbines at three different locations as shown in Table $1.$ Analyse which wind turbine that yield highest power extracted. Assume that power coefficient is $0\mathrm{.}4$ for all wind turbines and $\backslash (\backslash$rho$\_\{0\}=1\mathrm{.}225\backslash$mathrm$\{$~kg$\}/\backslash$mathrm$\{$m$\}^\{3\}\backslash ).$ Then, explain which parameter give most significant value to the extracted power.

Table $1$

$\backslash$begin$\{$tabular$\}\{|$l$|$c$|$c$|$c$|\}$

$\backslash$hline Wind Turbine & A & B & C $\backslash \backslash$

$\backslash$hline Rotor width at the center $($m$)$ & $90$ & $85$ & $80\backslash \backslash$

$\backslash$hline Height of the rotor $($m$)$ & $105$ & $100$ & $95\backslash \backslash$

$\backslash$hline Wind speed $($m$/$s$)$ & $12$ & $14$ & $11\backslash \backslash$

$\backslash$hline Elevation $($m $)$ & $1884$ & $1046$ & $209\backslash \backslash$

$\backslash$hline

$\backslash$end$\{$tabular$\}$

$[20$ Marks$][$CO$1,$ PO$1,$ C$4]$