First, there is the power of the Wind, constantly

First, there is the power of the Wind, constantly exerted over
the globe.... Here is an almost incalculable power at our
disposal, yet how trifling the use we make of it! It only serves
to turn a few mills, blow a few vessels across the ocean, and
a few trivial ends besides. What a poor compliment do we
pay to our indefatigable and energetic servant!
Henry David Thoreau
Arizona State University
SES 194
Energy in Everyday Life
Wind
Frank Timmes
ftimmes@asu.edu
Natural Gas
30%
Nuclear
19%
Hydroelectric, 4.1%
%
2
,
l
i
O
2013 US Electrical
Energy Production,
in 1018 J
Coal
37%
Renewable
12%
Biomass, 3.2%
Biofuel, 2.6%
Wind, 1.6%
Solar, 0.2%
Geothermal, 0.2%
A small percentage of the incident energy heats the air/land,
drives the weather, ocean currents and photosynthesis.
Let’s see what can be tapped from winds.
Natural energy flows, in GigaWatts, to and from the Earth
Solar radiation
174,000 GW
Short wavelength
radiation
Long wavelength
radiation
Tidal
Direct reflection
Tides,
tidal currents, etc
52,000 GW (30%)
3 GW
Direct conversion to thermal
82,000 GW (47%)
Hydrologic cycle
40,000 GW (23%)
Storage
water and ice
Convection,
volcanoes, etc
0.3 GW
Winds, waves, convection, currents
370 GW (0.21%)
Photosynthesis
40 GW (0.023%)
Storage
in plants
Decay
Animals
Conduction
32 GW
Terrestrial
Earth
Fossil fuels
Nuclear, thermal
A windmill can’t extract all of the wind’s kinetic energy,
because this would stop the wind, diverting oncoming wind
around it, and the windmill would stop spinning.
A wind turbine converts kinetic energy
in the wind into mechanical and
electrical energy
Area of
turbine
blades
Higher Speed
More Kinetic Energy
Turbine blades
remove at most
59% of energy
from wind
Lower Speed
Less Kinetic Energy
On the other hand, if you don’t slow the wind down much
you won’t get much energy. The maximum efficiency is 59%,
which corresponds to reducing wind velocity by 1/3.
A wind turbine converts kinetic energy
in the wind into mechanical and
electrical energy
Area of
turbine
blades
Higher Speed
More Kinetic Energy
Turbine blades
remove at most
59% of energy
from wind
Lower Speed
Less Kinetic Energy
Modern windmills attain ~50% efficiency. Conversion from
the rotary mechanical motion to electrical is 90% efficient,
for a final efficiency of ~45%.
70%
Theoretical maximum
60%
infinite blade rotor
50%
3-blade rotor
Efficiency
2-blade rotor
40%
1-blade rotor
American
Farm
30%
Darrieus rotor
20%
Dutch windmill
10%
Savonius rotor
0
0
2
4
6
8
10
12
14
Ratio of blade tip speed to wind speed
16
Wind is a rapidly developing resource, with 6.4 GW in 2003 to
62 GW by end of 2014 and growing at ~25% per year, with a
cost of ~$0.05/kW-hr that is very competitive.
It doesn’t pay to space windmills too closely - one robs the
other. Typical arrangements have rotors 10 diameters apart in
direction of prevailing wind, 5 diameters apart in the crosswind direction for a filling factor of ~2%.
As a result of this filling factor, plus faster winds, there
is a lot of action in offshore wind energy production.
The Nysted Wind Farm is a Danish offshore wind farm close
Gravity based foundations are used rather than pillars due to
ice conditions. Annual generation is ~1300 GW.
The Vestas 164 in the
North Sea is the largest
wind turbine in the world.
Its 164 m blade length its
larger than the wingspan
on modern airplanes.
It went online in 2014 and
is expected to generate
~30 GW-hrs annually.
If fully developed, “industrial wind” could generate an
average power almost equal to our current electrical capacity.
The essential challenge with wind is intermittency - the wind
doesn’t blow all the time - and our current electrical grid has
a limited tolerance for intermittent sources.
Secondary challenges, or primary depending on your point of
view, include land/ocean real estate, serious noise pollution,
and migratory birds.