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The basics of wind energy and recommendations to installing
Small Wind Systems
Southwest Windpower, Inc.
Wind is a form of Solar Energy
Wind is solar energy transformed to kinetic energy Earth absorbs 120,000 terawatts (120·1015 watts) of energy
from the sun. 0.3% is transformed into wind. This is 26 times the world’s current energy use.
RERADIATED HEAT82,000
ABSORBED120,000
GEOTHERMAL GEOTHERMAL HEAT 30HEAT 30
SOLAR RADIATION178,000
PHOTOSYNTHESIS100
TIDES 3
HEAT FROM EVAPORATION40,000
REFLECTED TO SPACE53,000
KINETIC ENERGY350
The details of wind
Important information about wind energy that you really don’t need to
worry about but is good to know
Wind energy in scientific notation
K.E. = 1/2mv2
K.E. of wind = 1/2pAv3t– p= density of air
– A = swept area– v = wind velocity
Power = K.E. of wind/time
Wind speed -and- Potential Energy
Power in 1 m2 at a wind speed of 3 m/s:
0.5 x 1.204 x 3.14 x 12 x 33 = 51 W
Power in 1 m2 at a wind speed of 5 m/s
0.5 x 1.204 x 3.14 x 12 x 53 = 236 W
Energy Available in the wind follows the equation
½ (air pressure) x 3.14 (pi) x (blade length)2 x (wind velocity)3
Beware of turbines that claim great low wind speed performance – only 51 Watts are
available at 3 m/s using a 1 m blade!
Wind speed -and- Potential Energy
Power in 1 m2 at a wind speed of 4 m/s:
0.5 x 1.204 x 3.14 x 12 x 43 = 121 W
Power in 1 m2 at a wind speed of 8 m/s
0.5 x 1.204 x 3.14 x 12 x 83 = 968 W
Energy Available in the wind follows the equation
½ (air pressure) x 3.14 (pi) x (blade length)2 x (wind velocity)3
Every time wind velocity doubles, available energy increases 8 times!
Swept Area -and- Potential Energy
Power in 1 m2 at a wind speed of 5 m/s:
0.5 x 1.204 x 3.14 x 12 x 53 = 236 W
Power in 1.5 m2 at a wind speed of 5 m/s
0.5 x 1.204 x 3.14 x 1.52 x 53 = 532 W
Swept Area is the best way to determine TurbinePerformance at normal wind speeds (sub 18 mph avg.)
How does Swept Area affect Potential Energy? How does a 1 m blade compare with a 1.5 m blade?
[Keep this fact in mind when comparing the Whisper H40 with the Whisper H80!]
Betz LimitThe maximum amount of energy that may be extracted from the wind utilizing a wind turbine is 59% of Available Energy.
Most commercial turbines hover in the 20-35% efficiency (extracted energy divided by available energy).
How do SWWP Turbines fare at 5 m/s?
Eff. Actual Betz Lmt. Available AIR X 31% 30 W 58 W 98 W H40 31% 80 W 154 W 260 W H80 28% 150 W 314 W 531 W 175 35% 420 W 706 W 1196 W
Weibull Distribution
From Hybrid Power Design Handbook, by C.D. Barley
WIND SPEED AVERAGE IN METERS PER SECOND – M/S
Fre
quen
cy a
t whi
ch th
e w
ind
blow
s
All 3 curves have the same Average Wind Speed, but will vary greatly in energy available. K=2.5 shows more consistent winds. However, the more gusty site with k=1.5 contains significantly moreenergy because of the greater occurrences of 10+ m/s velocities.
Roughness for flat terrain
Roughness Wind shearexponent
Water or ice 0.1
Low grass or steppe 0.14
Rural with obstacles 0.2
Suburb and woodlands 0.25
Wind speed change with height
surface10
12.2
12.9
13.5
HEIGHT WINDSPEED (ft) (mph)
0
30
60
90
V = Vo(H/Ho)
Tall towers matter – each 30 foot increase in height will result in another 25% Energy Output!
The Details in Wind
Elevation Tower height Wind speed average
Important information about wind energy that you really do need to know
ElevationAltitude: Density decreases with altitude
Output compared to power curve
1-500 feet 1-150 meters 100%
500-1000 feet 150-300 meters 97%
1000-2000 feet 300-600 meters 94%
2000-3000 feet 600-900 meters 91%
3000-4000 feet 900-1200 meters 88%
4000-5000 feet 1200-1500 meters 85%
5000-6000 feet 1500-1800 meters 82%
7000-8000 feet 2100-2400 meters 79%
8000-9000 feet 2400-2700 meters 73%
9000-10,000 feet 2700-3000 meters 70%
Siting wind – It really is easy
Barriers to wind flow Barriers produce disturbed areas of airflow downwind which are
called wakes. In barrier wakes, wind speed is reduced and rapid changes in wind speed and direction, called turbulence, are increased.
Building Obstructions
H
Region of Highly Disturbed Flow
2H
2H 20H
PREVAILING WIND
Undisturbed upstream wind speed profile
5H10H
15H
HighTurbulence
5H 10H 15H
Speed
Decrease17% 6% 3%
Turbulence
Increase20% 5% 2%
Wind Power
Decrease43% 17% 9%
Appropriate maximum values depend Upon building shape, terrain and other Nearby obstacles.
Good location for wind turbine
Good location for wind turbine
Turbulence Turbulence
Turbulence
Turbulence
Turbulence2H
5H 10-15 H
H
WINDWARD LEEWARD
Turbulent Region
Turbulent Region
Turbulent Region
Wind Direction
The region underneath the curve has too much turbulence, and is not a good site to install a wind turbine. ThisRegion is determined by the height (H) of the tallest tree. The region with the straight, smooth lines ABOVE theCurve has air flow that is laminar, free flowing, which is IDEAL for a wind turbine.
Good location for wind turbine
Good location for wind turbine
Good location for wind turbine
Siting behind a row of trees
Streamers and turbulenceTop of barrier-induced turbulence
TurbulentFlow
Smooth Flow(Good height to install a Southwest Windpower Turbine)
By using a kite and adding streamers to the line you can determine the area behind treesor buildings where turbulence is present. The areawith smooth air flow will have a straight streamer asopposed to turbulent streamers that are flappingconstantly.
Predominant wind direction
Kite
Acceleration over a ridge
100% 50%
120%200%
Possible HighTurbulence
Crest of Ridge
Crest of Windflow (also region of maximum wind acceleration)
WindSpeed
WindSpeed
Airflow over cliffs
(A)
(C)
(D)
(B)
= Turbulence
Valleys between mountainsZone of accelerated air flow
Prevailingwinds
Mountains
Mountains
Plains
(A)
(B)
Zone of high wind velocities
Valley
Mountains
Plains
Prevailing Winds
Plains
Valleys can be areas of high wind speeds when winds are funneled and accelerated because of
the topography (valleys between mountains)
Mountains
Siting using vegetation
Brushing: Branches and twigs bend downwind.
Flagging: Branches stream downwind, upwind branches are short
Throwing: A tree has trunk and branches bent downwind
Carpeting: Winds are so strong it will not allow vertical growth of tree
Deformation RatioD = A/B + C/45
PrevailingWind Direction B A
C
Deformation Ratio I II III IV V VI
Probable Mean Annual
Wind Speed Range (MPH) 5-9 8-11 10-13 12-16 14-18 15-21
Source: Data prepared by E.W. Hewson, J.E. Wade, and R.W. Baker of Oregon State University.
Griggs-Putnam IndexPrevailing Wind
The degree to which conifers have been deformed by the wind can be used as a rough gauge of average annual wind speed. (Battelle, PNL)
Wind
Speed
Index
I II III IV V VI VII
MPH 7-9 9-11 11-13 13-16 15-18 16-21 22+
m/s 3-4 4-5 5-6 6-7 7-8 8-9 10+
Km/h 11-14 14-18 18-21 21-25 25-29 29-32 36+
0 I II III IV V VI VIINo Deformity Brush and Slight
FlaggingSlight
FlaggingModerateFlagging
CompleteFlagging
PartialThrowing
CompleteThrowing
Carpeting
Siting with no vegetationObservations Wind speed (m/s)
Calm; smoke rises vertically 0.0 – 0.2
Smoke drift indicate wind direction 0.3 – 1.5
Wind felt on face; vanes begin to move 1.6 – 3.3
Light flags extended 3.4 – 5.4
Leaves and loose paper raised up 5.5 – 7.9
If your customer can fly a flag, they can run wind turbine!
In a nutshell – it is just common sense
Know your wind speed average– Wind maps– Local weather or television station– Local airport
Site tower 30’ (9 meters) above any surrounding object within a 300 foot radius
Know the elevation to estimate energy loss