wind with constant and variable capacity factor.
Use the data and the figure to answer part 1 and part 2. ❖ Given
Data: Blade length, l = 52 m Wind speed, v = 12 m/sec Air density,
ρ = 1.23 kg/m3 Power Coefficient, Cp = 0.414.
For first tabel:
-Use the calculated results to draw the curves of both the power
contained in the wind and the extractable power versus wind speed
(both in one graph).
-Use the calculated results to draw the curve of both the annual
energy contained in the wind and the annual extractable energy
versus wind speed (both in one graph)
For last table:
-Use the Cp vs. λ curve (available on the last page) for a wind
turbine to find the value of Cp at each wind speed and fill them in
Table 3.
-Calculate the values of the extractable power and energy using
the value of the obtained Cp for each wind speed and fill them in
Table 3.
- Draw (bars) the values of Cp versus wind speed.
-Draw the curve of the Extractable Power versus wind speed.
- Draw the curve of the Extractable Energy versus wind
speed.
-Compare between the values of total extractable energy in Table
1 and Table 3.
-Discuss the impact of changing the Tip Speed Ratio on the
amount of the annual extractable energy.
- Full Answer To Calculate The Power Contained In Wind With Constant And Variable Capacity Factor Use The Data And The Fi 1 (18.35 KiB) Viewed 32 times
- Full Answer To Calculate The Power Contained In Wind With Constant And Variable Capacity Factor Use The Data And The Fi 2 (39.46 KiB) Viewed 32 times
i) Part 1: Constant Cp Use the given data above to fill Table 1. Table 1 Time (hours) Power Contained in Wind (kW) Extractable Power (kW) Energy Contained in Wind (kWh) Extractable Energy (kWh) Wind Speed (m/s) 1 3 5 7 9 11 13 15 17 19 21 23 25 27 Total 531 1407 1831 1769 1386 913 524 249 105 39 12 3 1 0
Part 2: Variable Cp If the rotational speed of the turbine is 15rpm. Use the given data above to fill Table i) Tip speed ratio is defined as: blade tip speed 1 wind speed blade tip speed rotational speed (rpm)x XD 60 Table 2 Wind Speed (m/s) 1 Time (hours) 531 Tip Speed Ratio (a) 3 5 7 9 1407 1831 1769 1386 913 524 11 13 15 17 19 21 23 249 105 39 12 3 1 25 27 0
ii) iii) Use the Cp vs i curve (available in the last page) for wind turbine to find the value of Cp at each wind speed and fill them in Table 3. Calculate the values of the extractable power and energy using the value of the obtained Cp for each wind speed and fill them in Table 3. Draw (bars) the values of Cp versus wind speed. Draw the curve of the Extractable Power versus wind speed. Draw the curve of the Extractable Energy versus wind speed. iv) v) vi) Table 3 Tip Speed Ratio Time (hours) Ср Extractable Power (kW) Extractable Energy (kWh) Wind Speed (m/s) 1 3 5 531 7 9 1407 1831 1769 1386 913 11 13 15 17 524 249 105 19 39 12 3 21 23 25 27 Total 1 0 Please note, the black filled rows in Table 3, represents the cases where the wind turbine would not operate due to the wind speed being too high or too low.
0.45 0.4 0.35 0.3 0.25 Cp 0.2 0.15 0.1 0.05 0 0 2 2 4 8 8 10 12 14 16 Lambda Cpvs a curve for wind turbine (with EA3)