Problem $4(40$ points$)$

Below is the table of PV specifications of a standard commercial silicon PV$.$

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

$\backslash$hline Item & Specification $\backslash \backslash$

$\backslash$hline Manufacturer & Exiom Solution $\backslash \backslash$

$\backslash$hline PV module type & Mono$-$Si $\backslash \backslash$

$\backslash$hline Module number & EX$-280$M $\backslash \backslash$

$\backslash$hline Nominal efficiency & $\backslash \backslash$

$\backslash$hline PV module rating & $\backslash \backslash$

$\backslash$hline Maximum power voltage & $37\mathrm{.}6$ V $\backslash \backslash$

$\backslash$hline Maximum power current & $8\mathrm{.}21$ A $\backslash \backslash$

$\backslash$hline Open circuit voltage & $45\mathrm{.}1$ V $\backslash \backslash$

$\backslash$hline Short circuit current & $8\mathrm{.}99$ A $\backslash \backslash$

$\backslash$hline Dimensions & $\backslash (2512\backslash$times $1120\backslash$times $45\backslash$mathrm$\{$~mm$\}\backslash )\backslash \backslash$

$\backslash$hline Weight & $\backslash$begin$\{$tabular$\}\{$c$\}$

$28$ kg

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

$\backslash$hline Quantity & $\backslash$begin$\{$tabular$\}\{$c$\}$

$6071($Wind$-$PV$-$battery $\backslash \backslash$

mode$)$

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

$\backslash$hline & $\backslash$begin$\{$tabular$\}\{$c$\}$

$18928($PV$-$Battery $\backslash \backslash$

mode$)$

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

$\backslash$hline

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

$($a$)$ Calculate the efficiency of this PV module. $(10$ points$)$

$($b$)$ Calculate the fill factor of this PV module. $(10$ points$)$

$($c$)$ Estimate the number of solar cells included in this PV module. $(10$ points$)$

$($d$)$ Draw a sketch explaining how the solar cells are connected in the PV module. $(10$ points$)$