Required information The annual average insolation (energy of sunlight per unit
ID: 701162 • Letter: R
Question
Required information The annual average insolation (energy of sunlight per unit area) striking a fixed solar panel in Buffalo, New York, is 200 w-m-2, while in Phoenix, Arizona, it is 270 W-m-. In each location, the solar panel converts 13% of the incident energy into electricity. Average annual electricity use in Buffalo is 6000 kW-h at an average cost of $0.15 kW h, while in Phoenix it is 11,000 kW h at a cost of $0.09 kW-h In each city, what area of solar panel is needed to meet the average electrical needs of a residence? (You must provide an answer before moving to the next part.) The area of solar panel needed in Buffalo ism2 The area of solar panel needed in Phoenix ism 2Explanation / Answer
Part 1
In Buffalo
Incident energy = 200 W/m2
Electricity from Incident energy = 200*0.13 = 26 W/m2
Annually electricity used = 6000 kWh/year x 1 year/8760 h
= 0.6849 kW x 1000W/kW = 684.9 W
Area of solar panel = electricity used/Electricity from Incident energy
= (684.9 W)/(26 W/m2)
= 26.342 m2
In Phoenix
Incident energy = 270 W/m2
Electricity from Incident energy = 270*0.13 = 35.1 W/m2
Annually electricity used = 11000 kWh/year x 1 year/8760 h
= 1.2557 kW x 1000W/kW = 1255.7 W
Area of solar panel = electricity used/Electricity from Incident energy
= (1255.7 W)/(35.1 W/m2)
= 35.775 m2
Part 2
In Buffalo
Average cost = $0.15/ kWh
Annual electricity used = 6000 kWh
Current average Annual electricity cost
= $0.15/ kWh x 6000 kWh
= $900
In Phoenix
Average cost = $0.09/ kWh
Annual electricity used = 11000 kWh
Current average Annual electricity cost
= $0.09/ kWh x 11000 kWh
= $990
Part 3
In Buffalo
Average cost per year = $900
Average cost for 20 years = 20*$900 = $18000
Cost per square meter = $18000/26.342 m2
= $683.319 /m2
In Phoenix
Average cost per year = $990
Average cost for 20 years = 20*$990 = $19800
Cost per square meter = $19800/35.775 m2
= $553.459 /m2
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