Renewable Energy and Distributed Generation Assignment-
Problem 1: Suppose a wind turbine has a cut-in wind speed of 5 m/s and a cut-out wind speed of 25 m/s. If the winds the turbine sees have Raleigh statistics with an average wind speed of 9 m/s,
a. For how many hours per year will the turbine be shut down because of excessively high speed winds?
b. For how many hours per year will the turbine be shut down because winds are too low?
c. If this is a 1MW turbine, how much energy (kWh/yr) would be produced for winds blowing at or above the rated wind speed of 12 m/s?
Problem 2: Consider the design of a homebuilt wind turbine using a 350W generator. The goal is to deliver 70 kWh in a 30-day month.
a. What capacity factor would be needed for the machine?
b. If the average wind speed is 5 m/s, and Rayleigh statistics apply, what should the rotor diameter be if the CF correlation is used?
c. How fast would the wind have to blow to cause the turbine to put out its full 0.35 kW if the machine is 20% efficient at that point?
Problem 3: Using the given data below
a. Using Matlab or Excel, plot the histogram representation of the given data?
b. Set up an excel spreadsheet to determine average wind speed v and the average value of v3, and the average power available in the wind W/m2.
c. Using the calculated average wind speed, Plot using Matlab or excel Raleigh distribution function that fits the histogram plot. Determine the corresponding scale factor c.
|
v(m/s)
|
Hrs/Yr
|
|
0
|
24
|
|
1
|
276
|
|
2
|
527
|
|
3
|
729
|
|
4
|
869
|
|
5
|
941
|
|
6
|
946
|
|
7
|
896
|
|
8
|
805
|
|
9
|
690
|
|
10
|
565
|
|
11
|
444
|
|
12
|
335
|
|
13
|
243
|
|
14
|
170
|
|
15
|
114
|
|
16
|
74
|
|
17
|
46
|
|
18
|
28
|
|
19
|
16
|
|
20
|
9
|
|
21
|
5
|
|
22
|
3
|
|
23
|
1
|
|
24
|
1
|
|
25
|
0
|
|
Totoal hrs
|
8.760
|
Problem 4: Suppose that a NEG Micon 64-m diameter wind turbine having a rated power of 1500 kW is installed at a site having Rayleigh wind statistics with an average wind speed of 7 m/s at the hub height.
a. Set up an excel spreadsheet to Find the annual energy generated.
b. Calculate the annual energy generated using the capacity factor theory? Compare your result with part a?
c. From the result in part a, find the overall average efficiency of this turbine in these winds.
d. Find the productivity in terms of kWh/yr delivered per m2 of swept area.
|
Manufacturer: Rated Power (kW): Diameter (m): Avg. Windspeed
|
NEG Micon 1500 64
|
|
v (m/s)
|
v (mph)
|
kW
|
|
0
|
0
|
0
|
|
1
|
2.2
|
0
|
|
2
|
4.5
|
0
|
|
3
|
6.7
|
0
|
|
4
|
8.9
|
9
|
|
5
|
11.2
|
63
|
|
6
|
13.4
|
159
|
|
7
|
15.7
|
285
|
|
8
|
17.9
|
438
|
|
9
|
20.1
|
615
|
|
10
|
22.4
|
812
|
|
11
|
24.6
|
1012
|
|
12
|
26.8
|
1197
|
|
13
|
29.1
|
1340
|
|
14
|
31.3
|
1437
|
|
15
|
33.6
|
1490
|
|
16
|
35.8
|
1497
|
|
17
|
38
|
1491
|
|
18
|
40.3
|
1449
|
|
19
|
42.5
|
1413
|
|
20
|
44.7
|
1389
|
|
21
|
47
|
1359
|
|
22
|
49.2
|
1329
|
|
23
|
51.5
|
1307
|
|
24
|
53.7
|
1288
|
|
25
|
55.9
|
1271
|
|
26
|
58.2
|
0
|
Problem 5: Using the wind speed modeling method described below, use Matlab or Excel to calculate the capacity factor and the annual average power produced by 1.5 MW that has the following specifications:
- Rated power = 1.5 MW
- Turbine diameter = 77 m,
- Cut-in wind speed = 3.5 m/s,
- Rated wind speed = 14.5 m/s
- Cut-out wind speed = 25 m/s
Plot the histogram representation of the given data. Plot also using Matlab or excel Raleigh distribution function that fits the histogram plot?
Do only question 3, 4 & 5.
Attachment:- Distributed Generation Assignment.rar