Question

1. Average US energy consumption rate is 4.4*10^9 MWh. Suppose you are involved in project to establish a wind farm called "The great western wind farm" which will supply all the electrical energy need of US per year. The individual wind turbine units that would be used are rated at 2 MW, have a rotor with a 100 m diameter, and will be spaced 3 diameters side to side, 10 diameters front to rear which would result in the giant contiguous wind farm. Each turbine will have an annual average capacity factor of 25%. Now calculate the area required for each turbine (in mile), the total area needed for the farm (in mile), yearly energy output by individual turbine (kWh/yr), total number of units needed for the farm. Compare the farm area with the area of state of Missouri, and comment on if this type of project is feasible. (Points 4+4+4+4+4 = 20) Soln.

Answer 1

ANSWER

Given data

energy consumption rate = 4.4*10^9 MWh

the individual turbine units = 2MW

rotor with a diameter = 100m

side to side = 3diameter

front to rear = 10diameter

average capacity factor = 25%
Heale. Diameter di = 10e = 1000m d) - 3 Dia = 300m lo Dia = tooom trattato aflatt → Area Berwired 3 Dia = 300 m. for each turbine - 300 x 10002 = 150 *500m = 45000 m 2 = 0.02896 miles Each Zurbine $ yearly -> Energy output by = 0.25 X2000kb) x (3600x24 X 365) 4380000 X 3600 kJ = > Total number of units seguired 4380000 kwhlyear. for the farm. 4.4 X109 X1000 kWh 4380000 4400 X 109 - kab 4380000

= 1004566-21 unit 1004567 units. Total Area Needed for the form = 1004567 X 0.09896 miles? = 29092.26 mileg2 The area of the State of missouri is 69704.18 miles2 he total Qread needed for the form is approximately onethird of the area of the Missouri → Henle yes, this type of project is feasible. COMMENT.. The project may be feasible but such a large area Of land is needed, and also to find such a large area of the land where there is a high wind is guite difficult. So, the project can be setup in parts where there is a high wind velocity: