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Wind Energy

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Title: Wind Energy


1
ECE 333 Green Electric Energy
  • Lecture 20
  • Wind Energy
  • Professor Tom Overbye
  • Department of Electrical andComputer Engineering

2
Announcements
  • 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.

3
Ex. 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

4
Ex. 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

5
Ex. 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

6
Wind 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?

7
Wind 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?

8
Wind Farms
For closely spaced towers, efficiency of the
entire array becomes worse as more wind turbines
are added
Figure 6.28
9
Wind 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

10
Wind 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
11
Ex. 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.
12
Ex. 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?

13
Ex. 6.12 Energy Potential for a Windfarm
  • a. For 1 wind turbine

14
Ex. 6.12 Energy Potential for a Windfarm
  • b. 1 acre 4047m2

In part (a), we found
or equivalently
Then, the lease cost per kWh is
15
Time 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.

16
Upper Midwest Daily Wind Variation
August
April
Source www.uwig.org/XcelMNDOCwindcharacterization
.pdf
17
How 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)
18
How 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)
19
Angle 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
20
Idealized Power Curve
  • Cut in windspeed, rated windspeed, cut-out
    windspeed

Figure 6.32
21
Idealized 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

22
Idealized 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

23
Example 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

24
Example 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)

25
Current 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
26
Government 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
27
Economies 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)

28
Environmental 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

29
Environmental 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
30
Environmental 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

31
Environmental 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
32
Environmental 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
33
Cape Wind Simulated View, Nantucket Sound, 6.5
miles Distant
Source www.capewind.org
34
Environmental 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

35
Questions 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!)

36
Wind 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)

37
Power 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

38
Wind 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)

39
Wind Power, Reserves and Regulation, cont.
Eastern Interconnect Frequency Response for Loss
of 2600 MW
40
Wind 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

41
Wind 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

42
Five Bus Power Flow Example
43
37 Bus Power Flow Example
44
Good 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)

45
Looking 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.
46
Contingency Analysis
Contingencyanalysis providesan automaticway of
lookingat all the statisticallylikely
contingencies. Inthis example thecontingency
set Is all the single line/transformeroutages
47
Generation 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

48
Generation 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
49
Generation Change Example 2
Display repeats previous case except now the
change in generation is picked up by other
generators using a participation factor approach
50
Siting New Wind Generation Example
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