Chapter 1, Problem 1.67P

A photovoltaic panel of dimension $2\text{m}\times 4\text{m}$ is installed on the roof of a home. The panel is irradiated with a solar flux of $G_S=700{\text{W/m}}^{\text{2}},$ oriented normal to the top panel surface. The absorptivity of the panel to the solar irradiation is as ${\alpha }_S=700{\text{W/m}}^{\text{2}},$ and the efficiency of conversion of the absorbed flux to electrical power is $\eta =P/{\alpha }_S{G}_{S}A=0.553-0.001{\text{K}}^{-1}{T}_p,$ where $T_p$ is the panel temperature expressed in kelvins and A is the solar panel area. Determine the electrical power generated for (a) a still summer day, in which $T_{\text{sur}}=T_{\infty }=35°\text{C,}h=10{\text{W/m}}^{\text{2}}\cdot \text{K,}$ and (b) a breezy winter day, for which $T_{sur}=T_{\infty }=-15°\text{C,}h=30{\text{W/m}}^{\text{2}}\cdot \text{K}\text{.}$ The panel emissivity is $\epsilon =\mathrm{0.90.}$