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ENME701: Wind Energy
Reinhard Radermacher
2016
http://rredc.nrel.gov/wind/pubs/atlas/maps.html#2-6
Wind Resource US
Certainty of Wind Resource in the US
http://rredc.nrel.gov/wind/pubs/atlas/maps/chap2/2-07m.html
Advantages of Wind Energy
• Clean energy source
• Abundant domestic source of energy
– Wind resources in the Dakotas sum up to
nearly 50% of US energy needs!
• Renewable:
– Solar heating of the atmosphere, earth
rotation, and the earth's surface irregularities
• Low cost: 4-6 cents/kWhr
• Good for rural community development
Disadvantages
• High initial investment
• Intermittent source
– Storage is a must!
• Resources and load might not coincide
• Land use
• Noise, aesthetic impacts, bird-, bat kill
Vertical Wind Turbines
Darrieus model
Alternative Energy Systems and Applications, B. K. Hodge, Wiley, 2010
Alternative Energy Systems and Applications, B. K. Hodge, Wiley, 2010
Vertical Axis Wind Turbines
Advantages
• Easier to maintain
• No yaw mechanism
• Higher airfoil pitch angle
improved aerodynamics
• Benefit from ground shape
• Lower height
• No free standing tower
• Lower tip speed ratio  not
susceptible to cross winds
• No orientation dependence
• Lower ratio speed  quiet
operation
Disadvantages
• 50% the efficiency of HAWTs
• Height limitation
• Require relatively flat land
• Low starting torque  external
excitation required!
• Complex structure design
• Lot of material per swept area
Wind Energy Engineering
Tester et al. 2005
Power: force times velocity:
P ~ v3
Mechanics Review
F = m*a
W = F*s; v = s/t
P = W/t = F*v
Wind Energy Engineering
Tester et al. 2005
Bernoulli Equation
v2 /2 + g*z + P/ρ = constant
Tester et al. 2005
Wind Energy Engineering
F = ρAt (vu – vd ) ( vu + vd)/2 comparing with earlier
F equation
vt = ( vu + vd )/2
P = 2 ρAt vt
2 ( vu – vt )
dividing above by total power in upstream air flow
yields
η = 0.593 Betz Limit
Betz Ratio
• Maximum attainable efficiency for horizontal wind
turbines ~ 59%
– Assuming incompressible, irrotational, isentropic process .. Ideal
flow
– Some of the simplified assumptions penalize the conversion
efficiency (no vortex shedding, no flow mixing)
– Betz ratio is not a hard constraint
• Current best practices: 50% wind to mechanical power
and an overall efficiency of 40%
Alternative Energy Systems and Applications, B. K. Hodge, Wiley, 2010
Advance Ratio
Example of Actual Operation
Alternative Energy Systems and Applications, B. K. Hodge, Wiley, 2010
Weibull Distribution of Probability of Occurrence of Given Wind Speed
h(v,k,c) = k/c (v/c)^(k-1) exp((-(v/c)^k))
c = scale parameter
k = shape parameter
Weibull Distribution
Wind Power Density
Horizontal Axis Wind Turbines
• Anemometer
– Wind speed measurements
• Brake
– Friction brake to stop the rotor in
emergencies
• Controller
– Starts up Vwind ~ 8 to 16 mph and shuts
off the machine at ~55 mph
• Gear box
– Increase rpm from ~50 to ~1500
– Should be removed in the future
• Nacelle
– Sits atop the tower and is the housing
for gear box, low- and high-speed
shafts, generator, controller, and brake
• Pitch
– Rotate blades to control the rotor speed
• Tower
– Made from tubular steel, concrete, or
steel lattice
• Wind vane:
– Measures wind direction
• Yaw drive
– Only required for upwind turbines to
keep the rotor facing into the wind as
the wind direction changes
Wind Turbine Farms
• Wind turbine grouping are better from a
utility system operation point of view
• Close spacing cause interference
– Roughly: a unit 10 rows downstream at a
spacing of 10D will yield 82% the power of the
first row
http://energinet.dk/Flash/Forside/index.html
GE 3.6 MW
Annual average wind speed at hub height.
Standard atmosphere according to DIN ISO
2533,M.S.L.
Standard Rayleigh distribution and
unobstructed air flow.
http://www.gepower.com/prod_serv/products/wind_turbines/en/36mw/index.htm
Wind
Energy
Trends
Annual Report on U.S. Wind Power Installation, Cost, and Performance Trends, 2006, US Dept. of
Energy, EERE, Ryan Wiser, Mark Bolinger, May 2007
Growth is mainly
due to: federal tax
incentives, state
renewable energy
standards and
incentives, and
continued
uncertainty about
the future cost and
liabilities of
conventional natural
gas and coal
facilities
http://energy.gov/articles/new-interactive-
map-shows-big-potential-america-s-wind-
energy-future
Cost Wind Power
http://www.awea.org/Resources/Content.a
spx?ItemNumber=5547
Comparative Cost of Wind Power
Capacity Factors
Lessons Learned
• Power ~ v^3
• Blade diameter governing factor
• Betz factor
• Turbine & system specs limit highest speed
• Challenges in utilization
• Cut-in/out speeds
• Huge variation in torque – reliability
• Ice formation
• Distribution of wind power
• Project Lessons
New Cost Models
• http://www.nrel.gov/wind/pdfs/40566.pdf
Sustainability
• Life Cycle Analysis
– Net energy analysis roughly 1 year
– Externalities
• Aesthetic impact
• Noise
• Bird kill rate (endangered species hawks, eagles), bats
– Negligible compared to the domestic cat!
• Interference with radio and TV broadcasts
• Land use
• Maintenance worker hazards
Wind Quality
• Density dependence on pressure and temperature
should be considered (mountain tops (-10%), hot desert
areas – 3%)
• f(v) is the frequency spectrum of wind velocity
• The best practice is to use the Weibull statistical function
to curve-fit the measured wind velocities
• (1/7) power low
– From 30 to 50 m 
– 7.6% increase in v and 24.5% increase in Power
 3
" 0.5P v f v dv 
1
7
2 2
1 1
v h
v h
 
  
 
Assignment
What should we do?
•# of turbines to replace conv. Power?
•Feasibility (economic)
•Optimum power
•production (windspeed, cost)
•Challenges competitiveness evaluation
•Turbines in a farm: maximize production for given
plot of land
•Blade shape
•Analysis of av. Windpower for different locations
Discussion Slides
Assignment
http://www.wind-energy-the-facts.org/en/part-i-technology/chapter-2-wind-resource-estimation/local-
wind-resource-assessment-and-energy-analysis/the-annual-variability-of-wind-speed.html
Assignment 2
http://www.wind-energy-the-facts.org/en/part-i-technology/chapter-2-wind-resource-estimation/local-
wind-resource-assessment-and-energy-analysis/the-annual-variability-of-wind-speed.html
Assignment 2
http://www.wind-energy-the-facts.org/en/part-i-technology/chapter-2-wind-resource-estimation/local-
wind-resource-assessment-and-energy-analysis/the-annual-variability-of-wind-speed.html
Assignment 2
http://www.wind-energy-the-facts.org/en/part-i-technology/chapter-2-wind-resource-estimation/local-
wind-resource-assessment-and-energy-analysis/the-annual-variability-of-wind-speed.html
Data from NREL website: ftp://ftp2.nrel.gov/pub/ewits/TimeSeries/LandBased/2006/
Select Maryland and then a site in MD.
Design a 1MW wind turbine and calculate how much power can be ideally produced…
Blade mass
Fingersh et al., 2006 Wind turbine design cost and scaling model, NREL/TP-500-
Gearbox cost
• Three-stage Planetary/Helical
– Mass = 70.94*low-speed shaft torque0.759
– Total cost = 16.45*machine rating (in KW)1.249
• Single-Stage Drive with Medium-speed
Generator
– Mass = 88.29*low-speed shaft torque0.774
– Total cost = 74.1 * machine rating1.00
• Multi-Path with Multiple Generators
– Mass = 139.69* low-speed shaft torque0.774
– Total cost = 15.26*machine rating1.249
Fingersh et al., 2006 Wind turbine design cost and scaling model, NREL/TP-500-
40566
Generator cost
• Three-stage Planetary/Helical
– Mass = 6.47*machine rating(in kW)0.9223
– Total cost = machine rating (in KW)*65
• Single-Stage Drive with Medium-speed
Generator
– Mass = 10.51*machine rating0.9223
– Total cost = machine rating*54.73
• Multi-Path with Multiple Generators
– Mass = 5.34* low-speed shaft torque0.9223
– Total cost = machine rating*48.03
Fingersh et al., 2006 Wind turbine design cost and scaling model, NREL/TP-500-
40566
Alternative Energy Systems and Applications, B. K. Hodge, Wiley, 2010

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