QUESTION $7$

After a pumping test, a new borehole has a safe yield of $\backslash (0\mathrm{.}5\backslash$mathrm$\{$~L$\}/\backslash$mathrm$\{$s$\}\backslash ).$ The water requirement for the community is that there are $200$ people each needing $40$ L per day. The static head of the borehole is $50$ m $,$ pressure loss $1$ bar and a draw down of $15$ m $.$ The average daily insolation at the site is $6$ peak sun hours, array$/$load mismatching factor of $0\mathrm{.}8$ and temperature derating factor for array power loss due to heat of $0\mathrm{.}8.$

i$.$ Determine the particular pump for the application, its operating point and the efficiency at that point from the pump curve in figure $2.$

ii$.$ Calculate the total hydraulic energy and size of PV array $($including cable losses$)$ required for a solar pumping system.

iii. How long $($in hours$)$ will the pump take to pump out the daily water requirement of the community?

iv$.$ How much water will the pump draw from the borehole during the peak sunshine hours?

v$.$ If the pump is to use an AC motor, what size of inverter is will required.