Title: Wind Energy
1ECE 333 Green Electric Energy
- Lecture 20
- Wind Energy
- Professor Tom Overbye
- Department of Electrical andComputer Engineering
2Announcements
- Start reading Chapter 6.
- Homework 8 is due now.
- Homework 9 is 6.12, 6.14, 6.15. It doesnt need
to be turned in but should be completed before
the test. Kate will post solutions by next
Tuesday. - Exam 2 is Thursday November 19 in class. You can
bring in your old note sheet and one new notes
sheet. Kate is posting exam 2 from last
semester.
3Ex. 6.11 Annual Energy from a Wind Turbine
- NEG Micon 750/48 (750 kW and 48 m rotor)
- Tower is 50 m
- In the same area, vavg is 5m/s at 10 m
- Assume standard air density, Rayleigh statistics,
Class 1 surface, (total) efficiency is 30 - Find the annual energy (kWh/yr) delivered
4Ex. 6.11 Annual Energy from a Wind Turbine
- We need to use (6.16) to find v at 50 m, where z
for roughness Class 1 is 0.03 m (from Table 6.4) - Then, the average power density in the wind at 50
m from (6.48) is
5Ex. 6.11 Annual Energy from a Wind Turbine
- The rotor diameter is 48 m and the total
efficiency is 30, so the average power from the
wind turbine is - Then, the energy delivered in a year is
6Wind Farms
- Normally, it makes sense to install a large
number of wind turbines in a wind farm or a wind
park - Benefits
- Able to get the most use out of a good wind site
- Reduced development costs
- Simplified connections to the transmission system
- Centralized access for operations and maintenance
- How many turbines should be installed at a site?
7Wind Farms
- We know that wind slows down as it passes through
the blades. Recall the power extracted by the
blades - Extracting power with the blades reduces the
available power to downwind machines - What is a sufficient distance between wind
turbines so that windspeed has recovered enough
before it reaches the next turbine?
8Wind Farms
For closely spaced towers, efficiency of the
entire array becomes worse as more wind turbines
are added
Figure 6.28
9Wind Farms
- The study in Figure 6.28 considered square
arrays, but square arrays dont make much sense - Rectangular arrays with only a few long rows are
better - Recommended spacing is 3-5 rotor diameters
between towers in a row and 5-9 diameters between
rows - Offsetting or staggering the rows is common
- Direction of prevailing wind is common
10Wind Farms Optimum Spacing
Ballparkfigure for GE 1.5 MW in Midwestis one
per80 acres
3 D to 5D
Figure 6.29
Optimum spacing is estimated to be 3-5 rotor
diameters between towers and 5-9 between rows
5 D to 9D
11Ex. 6.12 Energy Potential for a Wind Farm
- A wind farm has 4-rotor diameter spacing along
its rows, 7-rotor diameter spacing between the
rows - WTG efficiency is 30, Array efficiency is 80
4D
7D
Note that the 4D and the 7D are switched on the
figure in the book.
12Ex. 6.12 Energy Potential for a Windfarm
4D
7D
- a. Find annual energy production per unit of
land area if the power density at hub height is
400-W/m2 (assume 50 m, Class 4 winds) - b. What does the lease cost in /kWh if the land
is leased from a rancher at 100 per acre per
year?
13Ex. 6.12 Energy Potential for a Windfarm
14Ex. 6.12 Energy Potential for a Windfarm
In part (a), we found
or equivalently
Then, the lease cost per kWh is
15Time Variation of Wind
- We need to not just consider how often the wind
blows but also when it blows with respect to the
electric load. - Wind patterns vary quite a bit with geography,
with coastal and mountain regions having more
steady winds. - In the Midwest the wind tends to blow the
strongest when the electric load is the lowest.
16Upper Midwest Daily Wind Variation
August
April
Source www.uwig.org/XcelMNDOCwindcharacterization
.pdf
17How Rotor Blades Extract Energy from the Wind
Airfoil could be the wing of an airplane or the
blade of a wind turbine
- Bernoullis Principle - air pressure on top
is lower than air pressure on bottom because it
has further to travel, creates lift
Figure 6.30 (a)
18How Rotor Blades Extract Energy from the Wind
- Air is moving towards the wind turbine blade from
the wind but also from the relative blade motion - The blade is much faster at the tip than at the
hub, so the blade is twisted to keep the angles
correct
Figure 6.30 (b)
19Angle of Attack, Lift, and Drag
- Increasing angle of attack increases lift, but it
also increases drag
Figure 6.31 (a)
- If the angle of attack is too great, stall
occurs where turbulence destroys the lift
Figure 6.31 (b) - Stall
20Idealized Power Curve
- Cut in windspeed, rated windspeed, cut-out
windspeed
Figure 6.32
21Idealized Power Curve
- Before the cut-in windspeed, no net power is
generated - Then, power rises like the cube of windspeed
- After the rated windspeed is reached, the wind
turbine operates at rated power (sheds excess
wind) - Three common approaches to shed excess wind
- Pitch control physically adjust blade pitch to
reduce angle of attack - Stall control (passive) blades are designed to
automatically reduce efficiency in high winds - Active stall control physically adjust blade
pitch to create stall
22Idealized Power Curve
- Above cut-out or furling windspeed, the wind is
too strong to operate the turbine safely, machine
is shut down, output power is zero - Furling refers to folding up the sails when
winds are too strong in sailing - Rotor can be stopped by rotating the blades to
purposely create a stall - Once the rotor is stopped, a mechanical brake
locks the rotor shaft in place
23Example Small Wind Turbine
- Consider a 0.9 kW wind turbine with a 2.13m blade
installed at a hub height where the average wind
speed is 6.7 m/s. - Assume the turbine costs 1,600 and the
installation/other capital costs add an
additional 900 - The 2,500 total capital is financed with a
15-year, 7 load. - Annual OM costs are 100
- The capital recovery factor (i0.07, n 15) is
0.1087 - Total annual payments are thus (25000.1087100)
374.49/yr
24Example Small Wind Turbine, cont.
- To estimate the energy delivered by the turbine
well use the CF approach from (6.65) - Total energy supplied by turbine would be
about(0.9)kW?(8760)hr/yr ?0.385 3035 kWh/yr - Average cost per kWh is then 374.5/3035 0.123
/kWh - This value is close to current rates, and also
assumes the wind turbine only lasts for 15 years. - Note, a 6.7 m/sec average wind is class 3 (much
of Illinois at 50m)
25Current Prices for Small Wind
- The Home Depot is selling a 900W wind turbine
kit, which includes the turbine and a 1000W
inverter, for 2497.97 tower and batteries are
extra (65 tower goes for about 1000 plus
installation).
MostIllinoissites are lt 12 mphat 65
Source www.homedepot.com www.kansaswindpower.net
26Government Credits
- Federal government provides tax credits of 30 of
cost for small (household level) solar, wind,
geothermal and fuel cells (starting in 2009 the
total cap of 4000 was removed) - I dont think Illinois has a wind credit, but
they do have a solar credit (30 of cost) - For large systems the Federal Renewable
Electricity Production Tax Credit pays 1.5/kWh
(1993 dollars, inflation adjusted, currently
2.1) for the first ten years of production
Source for federal/state incentives
www.dsireusa.org
27Economies of Scale
- Presently large wind farms produce electricity
more economically than small operations - Factors that contribute to lower costs are
- Wind power is proportional to the area covered by
the blade (square of diameter) while tower costs
vary with a value less than the square of the
diameter - Larger blades are higher, permitting access to
faster winds - Fixed costs associated with construction
(permitting, management) are spread over more MWs
of capacity - Efficiencies in managing larger wind farms
typically result in lower OM costs (on-site
staff reduces travel costs)
28Environmental Aspects of Wind Energy
- US National Academies issued report on issue in
2007 - Wind system emit no air pollution and no carbon
dioxide they also have essentially no water
requirements - Wind energy serves to displace the production of
energy from other sources (usually fossil fuels)
resulting in a net decrease in pollution - Other impacts of wind energy are on animals,
primarily birds and bats, and on humans
29Environmental Aspects of Wind Energy, Birds and
Bats
- Wind turbines certainly kill birds and bats, but
so do lots of other things windows kill between
100 and 900 million birds per year
Estimated Causes of Bird Fatalities, per 10,000
Source Erickson, et.al, 2002. Summary of
Anthropogenic Causes of Bird Mortality
30Environmental Aspects of Wind Energy, Birds and
Bats
- Of course most people do not equate killing a
little song bird, like a sparrow, the same as
killing a bigger bird, like an eagle (less prone
to hit the front window). - Large bird (raptor) mortalities are about 0.04
bird/MW/year, but these values vary substantially
by location with Altamont Pass (CA) killing about
1 raptor/MW/year. - Turbine design and location has a large impact on
mortality
31Environmental Aspects of Wind Energy, Human
Aesthetics
- Aesthetics is often the primary human concern
about wind energy projects (beauty is in the eye
of the beholder) night lighting can also be an
issue
Figure 4-1 of NAS Report, Mountaineer Project 0.5
miles
32Environmental Aspects of Wind Energy, Human
Aesthetics, Offshore
- Offshore wind turbines currently need to be in
relatively shallow water, so maximum distance
from shore depends on the seabed - Capacityfactors tendto increaseas
turbinesmove furtheroff-shore
Image Source National Renewable Energy Laboratory
33Cape Wind Simulated View, Nantucket Sound, 6.5
miles Distant
Source www.capewind.org
34Environmental Aspects of Wind Energy, Human
Well-Being
- Wind turbines often enhance the well-being of
many people, but some living nearby may be
affected by noise and shadow flicker - Noise comes from 1) the gearbox/generator and 2)
the aerodynamic interaction of the blades with
the wind - Noise impact is usually moderate (50-60 dB) close
(40m), and lower further away (35-45 dB) at 300m - However wind turbine frequencies also need to be
considered, with both a hum frequency above 100
Hz, and some inaudible or barely audible low
frequencies (20 Hz or less) - Shadow flicker is more of an issue in high
latitude countries since a lower sun casts longer
shadows
35Questions Landowners Should Consider Before
Signing Up
- How much do I get and how much land will be tied
up and for how long (usually about 3000/yr per
turbine) - Is it fixed or based on revenue?
- What land rights are given up what can I still
do? - Who has what liability insurance?
- What rights is the developer able to transfer
without my consent? - What are my and the developers termination
rights? - If the agreement is terminated, what happens to
the wind energy structures and related facilities
(they take a lot of concrete!)
36Wind Turbines and Property Taxes in Illinois
- Illinois taxes property (land/buildings) at a
rate equal to 1/3 its fair cash value. - Personal property is not taxed (e.g., they tax
your house but not what you have in your house). - Beginning in 2008 Illinois assigns a fair cash
value to wind turbines based at a rate of
360,000 per MWan inflation value (set to 1.0 in
2008) a depreciation value. - Property tax rates in Champaign county are around
7 to 8 /100. At 8 the owner of 1.5 MW wind
turbine would need to pay 9600 per year, which
is about 2.4 per MWh (assuming a 30 capacity
factor)
37Power Grid Integration of Wind Power
- Currently wind power represents a minority of the
generation in power system interconnects, so its
impact of grid operations is small - But as wind power grows, in the not too distant
future it will have a much larger, and perhaps
dominant impact of grid operations - Wind power has impacts on power system operations
ranging from that of transient stability
(seconds) out to steady-state (power flow) - Voltage and frequency impacts are key concerns
38Wind Power, Reserves and Regulation
- A key constraint associated with power system
operations is pretty much instantaneously the
total power system generation must match the
total load plus losses - Excessive generation increases the system
frequency, while excessive load decreases the
system frequency - Generation shortfalls can suddenly occur because
of the loss of a generator utilities plan for
this occurrence by maintaining sufficient
reserves (generation that is on-line but not
fully used) to account for the loss of the
largest single generator in a region (e.g., a
state)
39Wind Power, Reserves and Regulation, cont.
Eastern Interconnect Frequency Response for Loss
of 2600 MW
40Wind Power, Reserves and Regulation, cont.
- A fundamental issue associated with free fuel
systems like wind is that operating with a
reserve margin requires leaving free energy on
the table. - A similar issue has existed with nuclear energy,
with the fossil fueled units usually providing
the reserve margin - Because wind turbine output can vary with the
cube of the wind speed, under certain conditions
a modest drop in the wind speed over a region
could result in a major loss of generation - Lack of other fossil-fuel reserves could
exacerbate the situation
41Wind Power and the Power Flow
- The most common power system analysis tool is the
power flow (also known sometimes as the load
flow) - power flow determines how the power flows in a
network - also used to determine all bus voltages and all
currents - because of constant power models, power flow is a
nonlinear analysis technique - power flow is a steady-state analysis tool
- it can be used as a tool for planning the
location of new generation, including wind
42Five Bus Power Flow Example
4337 Bus Power Flow Example
44Good Power System Operation
- Good power system operation requires that there
be no reliability violations for either the
current condition or in the event of
statistically likely contingencies - Reliability requires as a minimum that there be
no transmission line/transformer limit violations
and that bus voltages be within acceptable limits
(perhaps 0.95 to 1.08) - Example contingencies are the loss of any single
device. This is known as n-1 reliability. - North American Electric Reliability Corporation
now has legal authority to enforce reliability
standards (and there are now lots of them). See
http//www.nerc.com for details (click on
Standards)
45Looking at the Impact of Line Outages
Opening one line (Tim69-Hannah69) causes an
overload. This would not be allowed (i.e., we
cant operate this way when line is in.
46Contingency Analysis
Contingencyanalysis providesan automaticway of
lookingat all the statisticallylikely
contingencies. Inthis example thecontingency
set Is all the single line/transformeroutages
47Generation Changes and The Slack Bus
- The power flow is a steady-state analysis tool,
so the assumption is total load plus losses is
always equal to total generation - Generation mismatch is made up at the slack bus
- When doing generation change power flow studies
one always needs to be cognizant of where the
generation is being made up - Common options include system slack, distributed
across multiple generators by participation
factors or by economics
48Generation Change Example 1
Display shows Difference Flows between original
37 bus case, and case with a BLT138 generation
outage note all the power change is picked up
at the slack
49Generation Change Example 2
Display repeats previous case except now the
change in generation is picked up by other
generators using a participation factor approach
50Siting New Wind Generation Example