small scale wind turbines at williams collegethe micro-wind turbines at yale university. figure 4....
TRANSCRIPT
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JJ Augenbraun Geosciences 206 Professor Dethier and Ms. Boyd May 13, 2009
Small Scale Wind Turbines at Williams College
Figure 1. Rendering of Morley Science Center with an ARE 442 wind turbine installed.
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Introduction
As of 2007, the world population consumes approximately 400 quadrillion British
Thermal Units (Btu) per year. Despite having only roughly 6% of the world population, the
United States uses about 25% of the world’s energy resources, consuming approximately 101.5
quadrillion Btu per year. In the United States, this energy comes from a variety of sources
including petroleum, natural gas, nuclear electric power, coal, and renewable energy sources.
Renewable energy accounts for about 7% of total energy consumption in the United States. Of
that 7%, only 5% comes from wind energy (Figure 2, “Renewable Energy Trends,” 2009).
However, wind energy is currently the fastest growing renewable energy source in terms of
installed capacity. In 2008, the wind industry added over 8,000 MW of capacity throughout the
world, while in the United States 40% of new electric generation capacity came in the form of
wind energy.
Although the majority of wind capacity comes from industrially scale wind projects, the
United States’ market for small wind turbines, defined as turbines with a capacity of 100 kW or
Figure 2. The role of renewable energy consumption in the United States’ energy supply for 2007.
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less, grew rapidly in 2008. In 2008, the installation of more than 10,000 small wind turbines
resulted in an addition of over 17 MW of domestic generation capacity and a 78% growth rate
over the previous year. The small wind industry foresees thirty-fold growth over the next five
years with an estimated total United States installed capacity jumping from the current 80 MW to
1,700 MW by 2014 (Stimmel, 2009). Many of these small wind turbines are being installed in
residential settings, but some larger institutions are also experimenting with using wind energy
from small wind turbines. For example, Yale University recently installed ten 1 kW wind
turbines on the University’s engineering building (Figure 3). These wind turbines built by
AeroVironment can produce electricity in wind speeds as low as 3.1 m/s (“Micro-Wind,” 2009).
In 2005, the University of Vermont installed a 10 kW wind turbine as part of the Vermont
Department of Public Service Wind Development Program (Figure 4). At the time of installation,
the wind turbine was expected to generate approximately 3,000-5,000 kWh of electricity per year
(Wakefield, 2005). In addition, Middlebury College installed an identical 10 kW wind turbine
under the same Vermont program. At Middlebury College, the wind turbine has been providing
approximately 25% of the electricity used at the College’s recycling facility (“Wind Power”). As
Figure 3. The micro-wind turbines at Yale University.
Figure 4. The 10 kW turbine at the University of Vermont.
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these installations demonstrate, under the proper circumstances, installing a wind turbine in a
college setting is definitely possible and feasible.
Even though small scale wind energy constitutes such a small total installed capacity, it is
still equivalent to removing 13,300 cars from the roads or displacing 76,000 tons of carbon
dioxide per year. Once installed, a wind turbine produces no greenhouse gas emissions except
those associated with the occasional maintenance and repair requirements of the turbine
(Stimmel, 2009). Situated in the proper windy location, a wind turbine can provide clean, zero-
emission electricity. In 2007, Williams College adopted a goal to reduce greenhouse gas
emissions by 10% below the College’s 1990-1991 levels by 2020 (Schapiro, 2007). In light of
this goal and the clean nature of wind energy, this report explores the possibility of employing
small scale wind turbines at Williams College to reduce the College’s dependency on fossil fuels
for daily electricity consumption. Local wind data will be analyzed to determine the practicality
of installing small wind turbines on College owned buildings and property.
Data
Overview
Data were collected by an anemometer
located in the northwest corner of the top of
Morley Science Center between November 25,
2003 and November 24, 2004 (Figure 5).
Measurements were taken from an anemometer
at a height of 4.27 meters above the roof’s surface. The meteorological tower supported several
anemometers and weathervanes, so data were used from the highest anemometer to reduce the
Figure 5. The installation of the meteorological tower in late 2003.
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error of estimating winds at greater heights. A typical small wind turbine is mounted on a tower
that allows it to operate at heights in excess of 4.27 meters. Therefore, part of this report focuses
on estimating the wind speeds at common tower heights such as 5, 10, 15, and 25 meters.
Data Analysis
Data were collected every ten minutes and then averaged to obtain daily averages for the
366 days of the measurement period. I used the daily averages to estimate wind speeds at heights
of 5, 10, 15, and 25 meters above the surface of the roof. Estimates are based on the following
wind shear formula (“Roughness and Wind Shear,” 2003):
v = vref * ln ( z / zo ) / ln ( zref / zo) (1)
In this formula, v is the wind speed estimate at a height z meters above ground level. vref is the
known wind speed at a known height zref. Finally, zo is the roughness length in the current wind
direction. For the roof of Morley Science Center, I used a roughness length of 0.40 meters based
on the definition of rough and uneven terrain provided in the Danish Wind Industry
Association’s reference manual (“Wind Energy Reference,” 2003). Since we have wind speed
data at 4.27 meters, these values were inputted into Equation 1 to estimate the wind speed at the
desired height of 5, 10, 15, or 25 meters. For example, using the daily average wind speed on
November 25, 2003 of 1.8 m/s results in the following calculation for the wind speed at 25
meters:
v = 1.75 m/s * ln ( 25 m / 0.40 m ) / ln ( 4.27 m / 0.40 m ) = 3.06 m/s (2)
The rest of the estimated wind speeds were calculated in a similar manner (Appendix A). Table 1
summarizes the yearly averages, minimums, and maximums of the various height estimates.
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5 Meters 10 Meters 15 Meters 25 Meters Minimum Daily Average (m/s)
0.54 0.68 0.77 0.88
Maximum Daily Average (m/s)
6.29 8.02 8.88 10.31
Yearly Average (m/s)
2.20 2.81 3.16 3.61
After estimating the wind speeds at various heights, I sorted the wind speeds from lowest to
highest. After sorting, I grouped the wind speeds by 0.50 m/s increments (Table 2).
Daily Avg. Wind Speed
(m/s)
5 meters
10 Meters
15 Meters
25 Meters
0.0-0.5 0 0 0 0 0.5-1.0 35 15 11 4 1.0-1.5 80 47 33 21 1.5-2.0 81 65 48 43 2.0-2.5 51 62 61 53 2.5-3.0 43 45 55 41 3.0-3.5 23 35 34 49 3.5-4.0 20 27 31 31 4.0-4.5 17 18 22 27 4.5-5.0 10 17 17 22 5.0-5.5 3 14 13 18 5.5-6.0 1 12 18 10 6.0-6.5 2 4 8 12 6.5-7.0 0 3 6 13 7.0-7.5 0 1 5 9 7.5-8.0 0 1 2 4 8.0-8.5 0 0 0 5 8.5-9.0 0 0 1 1 9.0-9.5 0 0 1 1 9.5-10.0 0 0 0 0 10.0-10.5 0 0 0 2
Table 2. Frequency of wind speeds in 0.50 m/s increments at various heights.
Table 1. Yearly averages, minimums and maximums at different heights above roof.
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I then plotted this data on a graph that shows how wind speed increases with height (Figure 6).
As expected, higher frequencies of higher daily average wind speeds are observed at higher
heights.
Once I grouped the wind speeds, I used these groupings to calculate potential power
production of a wind turbine on the roof of Morley Science Center. I used power curves from the
various turbine manufacturers to calculate the expected yearly energy production of the wind
turbines examined in this study. By comparing the number of days at a certain wind speed
interval (usually 0.50 or 1.0 m/s intervals) with the power produced at that speed, daily and
yearly energy production can be estimated.
The electricity production calculations for the Eoltec Scirocco serve as a good example of
this process. Eoltec provides a detailed power curve for the Scirocco making it relatively easy to
estimate the energy produced (Figure 7). Along with a power curve, the manufacturer provides a
table of the electricity production at various wind speeds in 1.0 m/s ranges (Table 3, “Eoltec
Figure 6. A graph of daily average wind speeds grouped by 0.50 m/s intervals. As the height increases, so does the frequency of higher daily average wind speeds.
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Figure 7. The power curve of the Eoltec Scirocco wind turbine.
Scirocco,” 2009). Therefore, I
grouped the data for each wind speed
into 1.0 m/s intervals starting at 2.5 to
3.5 m/s (note: a wind speed of 3.50
m/s is counted in the 3.5 to 4.5 m/s
interval). Any measurements less than
2.5 m/s are below the turbine’s cutoff
speed so no electricity would be
produced. After determining the
number of days in each group of wind
speeds, I multiplied that number by 24 to convert to hours. I then multiplied the number of hours
by the predicted power production of the corresponding bracket of wind speeds to get kilowatt-
hours of electricity. Summing the kilowatt-hours gave the total electricity produced for the year
(Table 3).
Wind Speed (m/s) Power (kW) Days Hours kWh 2.5-3.5 0.14 88 2112 295.68 3.5-4.5 0.34 54 1296 440.64 4.5-5.5 0.67 29 696 466.32 5.5-6.5 1.16 27 648 751.68 6.5-7.5 1.81 11 264 477.84 7.5-8.5 2.71 2 48 130.08 8.5-9.5 3.82 2 48 183.36
9.5-10.5 5.00 0 0 0 10.5-11.5 5.70 0 0 0 11.5-12.5 6.00 0 0 0
Total days 213 Total kWh Produced 2745.6 Overall, there were 213 days with high enough wind speed averages to produce some electricity.
These 213 days resulted in the production of approximately 2750 kWh of electricity.
Table 3. Calculation of yearly energy production of the Eoltec Scirocco.
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Assessing the Validity of Using Daily Averages
Since wind power is related to the cube of the wind speed, a small variation in wind
speed can have a large effect on power. Because of this relationship, the smaller the time interval
over which the average wind speed is calculated, the more accurate the final electricity
production estimates. Therefore, I decided to assess the validity of my estimates by comparing
the energy production between April 21, 2004 and April 27, 2004 based on daily averages to an
estimate based on the ten minute average wind speed. To perform this comparison, I used
estimated wind speed at the 15 meter height with the Eoltec Scirocco’s power curve (Appendix
B). Using the same techniques to estimate the energy production as explained in the previous
section, I found that the daily averages gave an estimate of 49 kWh (Table 4) while the ten
minute averages gave an estimate of 128 kWh (Table 5).
Wind Speed (m/s) Power (kW) Days Hours kWh 3.5-4.5 0.34 5 120 16.80 4.5-5.5 0.67 0 0 0 5.5-6.5 1.16 2 48 32.16
Total days 7 Total kWh Produced 48.96
Wind Speed (m/s) Power (kW) 10 Minute Intervals Hours kWh 2.5-3.5 0.14 122 20.33 2.85 3.5-4.5 0.34 142 23.67 8.05 4.5-5.5 0.67 112 18.67 12.51 5.5-6.5 1.16 78 13.00 15.08 6.5-7.5 1.81 64 10.67 19.31 7.5-8.5 2.71 52 8.67 23.49 8.5-9.5 3.82 35 5.83 22.28
9.5-10.5 5.00 19 3.17 15.83 10.5-11.5 5.70 7 1.17 6.65 11.5-12.5 6.00 2 0.33 2.00
Total days 213 Total kWh Produced 128.04
Table 4. Calculation of energy production of the Eoltec Scirocco for the week of 4/21/2004 to 4/27/2004 using daily averages.
Table 5. Calculation of energy production of the Eoltec Scirocco for the week of 4/21/2004 to 4/27/2004 using ten minute averages.
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Figure 8. The Eoltec Scirocco wind turbine, an example of the HAWT design.
Figure 9. The Windspire wind turbine, an example of vertical axis design.
As expected, the ten minute averages gave a significantly higher estimate of wind energy
production than did the daily averages. This finding reinforces the importance of using as small
intervals as possible for calculating the energy produced by a turbine. However, analyzing an
entire year’s worth of ten minute data in the manual manner described would be exceedingly
time-consuming so I decided to continue using the daily averages due to practical considerations.
If this week in April is any indication, the actual energy produced by a wind turbine would likely
be two to three times higher than the amount calculated using daily averages.
Wind Turbine Options
Small wind turbines are classified into three
categories: micro, mini, and small. Micro wind turbines
have blade diameters of about 0.50 to 1.25 meters. Mini
turbines have blade diameters of 1.25 to 2.75 meters, and
small wind turbines have blade diameters of 2.75 to 8.00
meters (Gipe, 2004). Since energy production is directly
related to blade diameter (along with many other factors
including location, height, and turbine efficiency), longer
blades generally produce more electricity. There are numerous varieties of small wind
turbines on the market. Most turbines are of the horizontal axis wind turbine (HAWT)
design (Figure 8). An alternative design, vertical axis wind turbines (Figure 9), was heavily
studied in the 1970s and 1980s but could never produce electricity as cost-effectively as
could HAWTs. The basic technology behind wind turbines has not changed much since the
late 1970s, but efficiency, reliability, noise production, and cost effectiveness have vastly
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improved. Modern wind turbines last longer, produce more electricity, and generate less noise
than older models (Manwell, McGowan, and Rogers, 2002).
I explored a wide variety of wind turbines for this project. A main criterion during my
investigation was to find wind turbines with low cut-in speeds. A low-cut in speed is essential so
the wind turbine can take advantage of the generally low wind speeds in the Purple Valley. I
eventually settled on six possible options: the Eoltec Scirocco (“Eoltec Scirocco,” 2009), the
ARE 110 and ARE 442 (“ARE Wind,” 2008), the Bergey Excel-S (“Bergey,” 2009), the
ReDriven FD6.4-5000 (“ReDriven,” 2008), and the Windspire (“Windspire,” 2009). All of these
wind turbines (except the Windspire) have cut-in speeds of approximately 2.0 to 3.0 m/s. In
addition, all of these turbines are relatively light and can be roof-mounted on most existing
structures. Furthermore, these wind turbines can connect directly into a building’s electricity
supply to avoid the issue of having to store the power in batteries. I projected annual electricity
production at 15 meters (a common height for small wind turbines) above the roof for these six
devices based on the manufacturers’ power curves (Appendix B). In some cases, a detailed
power curve was not available so monthly estimated production figures based on different wind
speeds were used. A summary of the key statistics for each turbine is presented in Table 6.
Device Eoltec Scirocco
ARE 110 ARE 442 Bergey Excel-S
Windspire ReDriven FD6.4-5000
Type Horizontal
(2 blades)
Horizontal
(3 blades)
Horizontal
(3 blades)
Horizontal
(3 blades)
Vertical axis
Horizontal (3 blades)
Cut-in speed 2.7 m/s 2.5 m/s 2.5 m/s 3.1 m/s 4.0 m/s 2.0 m/s
Rotor diameter 5.6 m 3.6 m 7.2 m 6.7 m .6 m Not listed
Weight (with tower) 202 kg 143 kg 612 kg 1400 kg 283 kg Not listed
Table 6. Summary of six wind turbines and their projected annual electricity production at a height of 15 meters above the roof of the Morley Science Center.
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Figure 10. An array of MotorWind turbines.
Projected annual electricity at 15 m
2746 kWh 1380 kWh 7800 kWh 2880 kWh 300 kWh 3651 kWh
Rated Power 6 kW at 11.5 m/s
2.5 kW at 11 m/s
10 kW at 10 m/s
10 kW at 13.8 m/s
1.2 kW at 5.4 m/s
5 kW at 10 m/s
In general, the estimates did not come close to the expected annual electricity production
based on the rated power of the turbines. This result was expected because the rated powers are
for wind speeds much higher than the averages recorded on the roof of Morley Science Center.
Most wind turbines do not produce much electricity at low wind speeds and this drawback is
reflected in the projected electricity amounts. The ARE 442 and the ReDriven FD6.4-5000
turbines had the two highest net capacity factors of about 8.5% each. It is interesting to note that
this is approximately the same factor as that of the solar panels on the roof of Morley Science
Center (Johns, 2008). Based on this information, the ReDriven and ARE 442 turbines appear to
be the most suitable turbines for the College to consider installing.
Although the previously discussed wind turbines are all from the small wind category of
small wind turbines, the College recently installed some MotorWind micro-wind category
turbines on the heating plant. MotorWave produces these
MotorWind turbines that can be installed in large arrays that will
start producing electricity in 1.0 m/s winds (Figure 10).
Unfortunately, each turbine does not produce much electricity
with a set of sixty producing about 0.72 kWh over a whole day
in 4.0 m/s winds. In addition, some sort of battery system is required to store the electricity
produced as it cannot be directly fed into the building’s electrical grid. Furthermore, the
company recommends winds of at least 4.0 m/s to make the turbines economically viable
(“Motorwind,” 2009). Although the turbines are relatively inexpensive, they do not make sense
for Williams College to install on a larger scale than the few on the heating plant.
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Cost Analysis
After calculating projected annual electricity production at 15 meters height, I calculated
the price and payback periods. All calculations were based on a delivery cost of $0.13 per
kilowatt-hour of electricity. Prices quoted include the turbine, tower, inverter, and wiring. To
account for engineering and installation costs, I doubled the price calculated for the components
based on an estimate suggested by the Director of the Zilkha Center for Environmental
Initiatives, Ms. Stephanie Boyd. Dividing this cost by the total amount of money saved on
electricity annually gave an estimated payback period (Table 7).
Device Eoltec Scirocco
ARE 110 ARE 442 Bergey Excel-S Windspire ReDriven FD6.4-5000
Projected annual electricity at 15 m
2746 kWh 1380 kWh 7800 kWh 2880 kWh 300 kWh 3651 kWh
Cost of Turbine and Parts
$35,000 $16,300 $43,250 $41,000 $6,500 $24,000
Total Installed Cost $70,000 $32,600 $86,500 $82,000 $13,000 $48,000
Total Payback Period
196 years 182 years 85 years 219 years 333 years 101 years
Cost After Incentives $56,383 $25,965 $57,400 $67,740 N/A $33,448
Payback Period (with incentives)
158 years 145 years 56.5 years 181 years N/A 70.5 years
Payback Period (with 2.5 times electricity production and adjusted incentives)
54 years
52 years
18 years
63 years
N/A
23.5 years
Table 7. Costs of the wind turbines and estimated payback periods based on different scenarios. Rebates were calculated using the Massachusetts Technology Collaborative rebate calculator (“Commonwealth Wind”, 2009).
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The total payback periods are extremely long, but do not take into account certain
incentives and rebates available for small scale wind projects. The Micro Wind Initiative
sponsored by the Massachusetts Technology Collaborative provides a hybrid rebate structure.
The first part of the rebate is based on the system’s rated capacity, while the second part of the
rebate is based on the number of kilowatt-hours produced during the first year of operation
(“Commonwealth Wind,” 2009). The federal government also offers a tax credit for small wind
projects worth 30% of the project’s cost (“Federal Incentives,” 2009). Unfortunately, since
Williams College is a tax-exempt institution, this credit does not benefit the College. After
factoring these incentives into the calculations, the payback periods become more reasonable.
Payback periods are further reduced by assuming that 2.5 times more electricity will be produced
than suggested by the daily averages based on the analysis using ten minute averages.
Furthermore, since the installed cost is a rough estimate, actual payback periods may be shorter
than indicated in the table. Increased electricity costs over the course of a turbine’s service period
make the return on investment even more attractive.
Conclusions
Wind power is a valuable source of energy, but turbines must be placed in appropriate
sites to capture the maximum amount of energy possible. The Purple Valley is not very
conducive to wind energy with its generally low average wind speeds throughout the year.
However, certain small scale wind turbines do prove cost effective after taking into account
incentives offered by the state of Massachusetts. Based on initial analysis of daily average wind
speeds at a height of 15 meters above Morley Science Center’s roof, wind turbines do not seem
economically viable for Williams College. However, I still recommend the installation of either
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the ARE 442 or ReDriven 5 kW turbine on Morley Science Center. By taking into account the
fact that daily averages vastly underestimate energy production (by an order of two to three
times), the payback period of these two wind turbines drop into a much more reasonable range of
about 20 years. These two types of turbines had the shortest payback periods while also having a
good record of reliability. This approximately 20 year payback period is actually better than that
of the solar panels that the College has previously installed.
Since Williams College is a leading institution in the education field, it should also try to
be a leader in sustainability. As such, the College should not evaluate the installation of a wind
turbine from a purely economic point of view. The College should take into account the public
relations boost as well as the reduction in greenhouse gas emissions associated with the
installation of a wind turbine. A wind turbine can also provide valuable educational opportunities
for students at the College. For example, reliable wind speed measurements and power
production numbers can be recorded from a wind turbine on Morley Science Center. Other
colleges across the country have undertaken wind turbine projects; it is now time for Williams
College to install one of its own.
Convincing the administration to install a wind turbine constitutes the largest hurdle of
this project. Given the current economic situation and declining endowment, College
administrators will likely be reluctant to fund a project with a twenty year payback horizon.
Hopefully, the administration will eventually agree to such a project given the College’s
commitment to reducing carbon emissions and the reasons previously discussed. Once the
College decides to install a wind turbine, going forward with the installation will be relatively
straightforward. A structural engineering survey will be necessary to determine which roofs on
campus can support the weight of a wind turbine. Then, the College will need to seek permits
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from Williamstown pursuant to Subsection G of Article 7 of the Williamstown Zoning Bylaws
(“Zoning Bylaws,” 2008). Finally, a contractor (or possibly members of the College’s Facilities
department) will be used to install the wind turbine. Once monitoring equipment and wiring are
installed, the turbine will be ready to produce energy.
This report focused on the roof of Morley Science Center because data was collected on
that roof. Morley Science Center’s roof is approximately the same height as many other flat roofs
on campus. Therefore, we can reasonably assume that similar wind conditions exist above the
roofs of such buildings as the Paresky Center, buildings in the Greylock Quad, and Sawyer
Library. As a result, a small wind turbine could be added to the top of any of these buildings and
be expected to have a payback period similar to one installed on Morley Science Center. Any of
these buildings would serve as good candidates for a wind turbine, but Thompson Chapel would
truly be the best candidate. The top of the Chapel is several stories taller than any surrounding
buildings and well above any turbulence created by surrounding trees. A wind turbine on top of
the Chapel would likely experience much higher winds than those recorded on Morley Science
Center. In addition, a turbine on the top of the Chapel would have much greater visibility and
send a strong message about the College’s commitment to sustainability.
Overall, I strongly recommend the installation of a small wind turbine, specifically an
ARE 442 or ReDriven FD6.4-5000, on a campus building. The ideal location would be on top of
Thompson Chapel, but a more realistic location would be the roof of Morley Science Center or
Paresky Center. Given the estimated wind speeds and some reasonable assumptions, the College
can expect to regain its investment in approximately 20 to 25 years. In addition, installing a small
scale wind turbine on the campus could provide the motivation for eventually developing a large
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scale wind project on Berlin Mountain. It is time for Williams College to start capturing the
energy of the wind.
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Image Credits Figure 2: “The Role of Renewable Energy Consumption in the Nation’s Energy Supply.” Energy
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Scirocco.htm>. Figure 9: “Windspire.” Windspire Turbine. 2009. Mariah Power. 18 May 2009. <http://windspire.info/
windspire-overview.aspx>. Figure 10: “MotorWind.” MotorWave. 21 April 2009. MotorWave Ltd. 19 May 2009. <http://www.motorwavegroup.com/new/motorwind/index.html>. Figure B1: “Eoltec Scirocco.” Solacity Inc. 2009. Solacity Inc. 18 May 2009. <http://www.solacity.com/
Scirocco.htm>. Figure B2: “Bergey Small Wind Turbines.” Bergey Windpower Co. 2009. Bergey Windpower Co. 19 May
2009. <http://www.bergey.com/>.
Augenbraun 20
Figure B3: “ARE Wind Turbines.” Abundant Renewable Energy. 2008. Abundant Renewable Energy, LLC. 19 May 2009. <http://www.abundantre.com/ARE_Wind_Turbines.htn>. Figure B4: “ReDriven 5kW Turbine.” ReDriven: Eco-Friendly Power. 2008. ReDriven Power Inc. 19 May
2009. <http://www.redriven.net/index.html>. Figure B5: “Windspire.” Windspire Turbine. 2009. Mariah Power. 18 May 2009. <http://windspire.info/
windspire-overview.aspx>. Appendix A: Recorded and Estimated Wind Speeds on top of Morley Science Center
Date
Anem 1 Day Avg
Wind Speed (m/s)
Est. Speed at 5 m
Est. Speed
at 10 m
Est. Speed at 15
m
Est. Speed at 25
m Date
Anem 1 Day Avg
Wind Speed (m/s)
Est. Speed at 5 m
Est. Speed
at 10 m
Est. Speed at 15
m
Est. Speed at 25
m
11/25/2003 1.75 1.87 2.38 2.68 3.06 5/26/2004 3.14 3.35 4.27 4.81 5.48 11/26/2003 1.00 1.06 1.36 1.53 1.74 5/27/2004 1.02 1.09 1.38 1.56 1.78 11/27/2003 1.52 1.62 2.07 2.33 2.66 5/28/2004 2.23 2.38 3.03 3.41 3.89 11/28/2003 2.91 3.10 3.96 4.45 5.08 5/29/2004 3.59 3.83 4.88 5.50 6.27 11/29/2003 5.90 6.29 8.02 9.03 10.31 5/30/2004 2.01 2.14 2.73 3.07 3.51 11/30/2003 1.92 2.05 2.61 2.94 3.36 5/31/2004 1.87 1.99 2.54 2.86 3.26 12/1/2003 3.78 4.03 5.14 5.79 6.61 6/1/2004 2.63 2.81 3.57 4.03 4.59 12/2/2003 4.37 4.66 5.94 6.69 7.63 6/2/2004 1.73 1.85 2.35 2.65 3.02 12/3/2003 2.16 2.31 2.94 3.31 3.78 6/3/2004 1.78 1.89 2.41 2.72 3.10 12/4/2003 1.71 1.83 2.33 2.62 2.99 6/4/2004 1.31 1.40 1.79 2.01 2.29 12/5/2003 0.96 1.02 1.30 1.47 1.67 6/5/2004 1.93 2.06 2.63 2.96 3.38 12/6/2003 2.65 2.82 3.60 4.05 4.62 6/6/2004 1.60 1.71 2.18 2.46 2.80 12/7/2003 4.38 4.68 5.96 6.71 7.65 6/7/2004 1.18 1.26 1.61 1.81 2.07 12/8/2003 2.81 3.00 3.82 4.30 4.91 6/8/2004 1.45 1.55 1.98 2.23 2.54 12/9/2003 0.54 0.58 0.73 0.83 0.94 6/9/2004 1.62 1.73 2.20 2.48 2.83
12/10/2003 3.04 3.24 4.13 4.66 5.31 6/10/2004 1.47 1.57 1.99 2.25 2.56 12/11/2003 4.46 4.76 6.06 6.83 7.79 6/11/2004 1.61 1.71 2.18 2.46 2.81 12/12/2003 4.35 4.64 5.91 6.66 7.60 6/12/2004 1.32 1.40 1.79 2.01 2.30 12/13/2003 3.40 3.63 4.62 5.20 5.94 6/13/2004 2.61 2.78 3.54 3.99 4.55 12/14/2003 2.67 2.85 3.63 4.09 4.66 6/14/2004 2.28 2.43 3.09 3.48 3.97 12/15/2003 4.26 4.54 5.79 6.52 7.44 6/15/2004 2.60 2.77 3.54 3.98 4.54 12/16/2003 1.75 1.86 2.38 2.67 3.05 6/16/2004 1.08 1.16 1.47 1.66 1.89 12/17/2003 2.31 2.47 3.14 3.54 4.04 6/17/2004 0.50 0.54 0.68 0.77 0.88 12/18/2003 4.24 4.52 5.76 6.49 7.40 6/18/2004 1.05 1.12 1.43 1.61 1.83 12/19/2003 1.28 1.37 1.74 1.96 2.24 6/19/2004 3.90 4.16 5.31 5.97 6.82 12/20/2003 1.33 1.42 1.81 2.04 2.33 6/20/2004 2.53 2.70 3.44 3.87 4.42 12/21/2003 0.96 1.02 1.30 1.47 1.67 6/21/2004 1.48 1.58 2.02 2.27 2.59 12/22/2003 0.62 0.66 0.85 0.95 1.09 6/22/2004 1.73 1.85 2.36 2.65 3.03 12/23/2003 1.96 2.09 2.67 3.01 3.43 6/23/2004 2.14 2.28 2.91 3.28 3.74 12/24/2003 2.93 3.13 3.98 4.49 5.12 6/24/2004 2.03 2.16 2.75 3.10 3.54 12/25/2003 2.32 2.48 3.16 3.56 4.06 6/25/2004 1.67 1.79 2.28 2.56 2.92 12/26/2003 3.73 3.98 5.07 5.71 6.51 6/26/2004 2.25 2.40 3.05 3.44 3.92 12/27/2003 1.96 2.09 2.66 3.00 3.42 6/27/2004 2.02 2.15 2.74 3.09 3.53 12/28/2003 0.62 0.66 0.84 0.95 1.08 6/28/2004 1.42 1.52 1.93 2.18 2.48 12/29/2003 1.12 1.19 1.52 1.71 1.95 6/29/2004 1.31 1.40 1.78 2.00 2.29 12/30/2003 4.16 4.44 5.66 6.37 7.27 6/30/2004 1.61 1.72 2.19 2.46 2.81 12/31/2003 3.61 3.85 4.91 5.53 6.30 7/1/2004 1.45 1.55 1.97 2.22 2.53
1/1/2004 3.39 3.61 4.60 5.18 5.91 7/2/2004 1.76 1.87 2.39 2.69 3.07
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1/2/2004 1.27 1.35 1.72 1.94 2.21 7/3/2004 1.34 1.42 1.82 2.04 2.33 1/3/2004 1.95 2.08 2.65 2.99 3.41 7/4/2004 1.81 1.93 2.47 2.78 3.17 1/4/2004 1.34 1.43 1.82 2.05 2.33 7/5/2004 1.94 2.06 2.63 2.96 3.38 1/5/2004 2.55 2.72 3.46 3.90 4.45 7/6/2004 1.93 2.06 2.62 2.95 3.37 1/6/2004 4.06 4.33 5.52 6.21 7.09 7/7/2004 1.35 1.44 1.84 2.07 2.36 1/7/2004 4.06 4.33 5.52 6.21 7.09 7/8/2004 1.71 1.82 2.32 2.61 2.98 1/8/2004 2.38 2.54 3.24 3.65 4.16 7/9/2004 2.60 2.77 3.53 3.98 4.54 1/9/2004 2.28 2.44 3.10 3.49 3.99 7/10/2004 0.92 0.98 1.25 1.41 1.61
1/10/2004 1.61 1.72 2.19 2.47 2.81 7/11/2004 1.09 1.16 1.48 1.67 1.90 1/11/2004 1.48 1.58 2.01 2.27 2.59 7/12/2004 2.28 2.44 3.11 3.50 3.99 1/12/2004 1.36 1.45 1.84 2.07 2.37 7/13/2004 2.12 2.27 2.89 3.25 3.71 1/13/2004 3.66 3.90 4.97 5.60 6.39 7/14/2004 2.46 2.63 3.35 3.77 4.30 1/14/2004 2.12 2.26 2.88 3.24 3.70 7/15/2004 1.50 1.60 2.04 2.30 2.62 1/15/2004 3.34 3.56 4.54 5.11 5.83 7/16/2004 1.34 1.43 1.82 2.05 2.34 1/16/2004 5.16 5.51 7.02 7.90 9.02 7/17/2004 1.07 1.14 1.45 1.64 1.87 1/17/2004 1.62 1.73 2.21 2.48 2.83 7/18/2004 0.94 1.00 1.28 1.44 1.64 1/18/2004 2.02 2.15 2.74 3.09 3.52 7/19/2004 0.59 0.63 0.81 0.91 1.04 1/19/2004 4.19 4.47 5.70 6.42 7.32 7/20/2004 1.00 1.07 1.36 1.54 1.75 1/20/2004 3.76 4.01 5.11 5.75 6.56 7/21/2004 0.95 1.01 1.29 1.45 1.65 1/21/2004 1.61 1.72 2.19 2.46 2.81 7/22/2004 1.78 1.90 2.43 2.73 3.12 1/22/2004 2.98 3.18 4.05 4.56 5.20 7/23/2004 2.08 2.22 2.83 3.19 3.64 1/23/2004 3.85 4.11 5.24 5.90 6.73 7/24/2004 2.33 2.48 3.16 3.56 4.06 1/24/2004 2.91 3.11 3.96 4.46 5.09 7/25/2004 0.98 1.04 1.33 1.50 1.71 1/25/2004 2.01 2.15 2.74 3.08 3.52 7/26/2004 0.93 0.99 1.26 1.42 1.62 1/26/2004 1.11 1.18 1.51 1.70 1.93 7/27/2004 0.94 1.00 1.28 1.44 1.64 1/27/2004 1.07 1.14 1.45 1.64 1.87 7/28/2004 1.33 1.42 1.81 2.04 2.32 1/28/2004 2.78 2.96 3.78 4.25 4.85 7/29/2004 0.96 1.03 1.31 1.47 1.68 1/29/2004 4.80 5.12 6.52 7.34 8.38 7/30/2004 1.80 1.92 2.44 2.75 3.14 1/30/2004 2.70 2.88 3.67 4.14 4.72 7/31/2004 2.97 3.17 4.04 4.55 5.19 1/31/2004 3.97 4.24 5.40 6.08 6.94 8/1/2004 1.01 1.08 1.37 1.54 1.76 2/1/2004 1.78 1.89 2.41 2.72 3.10 8/2/2004 0.88 0.94 1.20 1.35 1.54 2/2/2004 0.71 0.75 0.96 1.08 1.23 8/3/2004 1.10 1.17 1.49 1.68 1.92 2/3/2004 1.86 1.99 2.53 2.85 3.25 8/4/2004 1.08 1.15 1.47 1.65 1.89 2/4/2004 5.80 6.19 7.89 8.88 10.13 8/5/2004 1.35 1.44 1.84 2.07 2.36 2/5/2004 3.01 3.21 4.09 4.61 5.26 8/6/2004 1.46 1.56 1.99 2.24 2.55 2/6/2004 2.46 2.63 3.35 3.77 4.30 8/7/2004 1.42 1.51 1.93 2.17 2.48 2/7/2004 3.14 3.35 4.27 4.81 5.48 8/8/2004 1.42 1.51 1.93 2.17 2.47 2/8/2004 3.34 3.57 4.55 5.12 5.84 8/9/2004 1.13 1.21 1.54 1.73 1.98 2/9/2004 1.52 1.63 2.07 2.33 2.66 8/10/2004 2.08 2.21 2.82 3.18 3.62
2/10/2004 1.92 2.05 2.61 2.94 3.35 8/11/2004 2.95 3.15 4.02 4.52 5.16 2/11/2004 4.66 4.97 6.34 7.14 8.14 8/12/2004 1.29 1.37 1.75 1.97 2.24 2/12/2004 0.68 0.73 0.93 1.04 1.19 8/13/2004 1.36 1.45 1.84 2.08 2.37 2/13/2004 2.61 2.78 3.54 3.99 4.55 8/14/2004 0.93 0.99 1.26 1.42 1.62 2/14/2004 2.63 2.81 3.58 4.03 4.60 8/15/2004 1.62 1.73 2.20 2.48 2.83 2/15/2004 2.75 2.93 3.74 4.21 4.80 8/16/2004 1.09 1.17 1.49 1.68 1.91 2/16/2004 1.15 1.23 1.56 1.76 2.01 8/17/2004 0.76 0.81 1.03 1.16 1.33 2/17/2004 1.48 1.58 2.02 2.27 2.59 8/18/2004 1.72 1.84 2.34 2.64 3.01 2/18/2004 1.46 1.55 1.98 2.23 2.54 8/19/2004 1.79 1.91 2.44 2.75 3.13 2/19/2004 1.61 1.72 2.19 2.46 2.81 8/20/2004 1.11 1.18 1.50 1.69 1.93 2/20/2004 1.22 1.30 1.66 1.87 2.13 8/21/2004 1.38 1.47 1.88 2.11 2.41 2/21/2004 3.03 3.23 4.11 4.63 5.29 8/22/2004 0.84 0.90 1.15 1.29 1.47 2/22/2004 4.80 5.12 6.52 7.35 8.38 8/23/2004 1.21 1.29 1.64 1.85 2.11 2/23/2004 1.56 1.66 2.12 2.39 2.72 8/24/2004 1.19 1.26 1.61 1.81 2.07 2/24/2004 1.40 1.49 1.90 2.14 2.44 8/25/2004 1.42 1.52 1.94 2.18 2.49 2/25/2004 2.26 2.41 3.07 3.46 3.95 8/26/2004 1.96 2.09 2.67 3.00 3.43 2/26/2004 1.96 2.09 2.67 3.01 3.43 8/27/2004 1.35 1.44 1.83 2.06 2.36 2/27/2004 1.81 1.94 2.47 2.78 3.17 8/28/2004 0.75 0.80 1.02 1.15 1.31 2/28/2004 1.26 1.35 1.72 1.94 2.21 8/29/2004 1.87 1.99 2.54 2.86 3.26
Augenbraun 22
2/29/2004 1.41 1.50 1.91 2.16 2.46 8/30/2004 1.40 1.50 1.91 2.15 2.45 3/1/2004 1.02 1.09 1.38 1.56 1.78 8/31/2004 1.71 1.83 2.33 2.62 2.99 3/2/2004 3.16 3.37 4.29 4.83 5.52 9/1/2004 1.37 1.47 1.87 2.10 2.40 3/3/2004 4.15 4.42 5.64 6.35 7.24 9/2/2004 1.06 1.13 1.44 1.62 1.85 3/4/2004 0.61 0.65 0.83 0.94 1.07 9/3/2004 0.98 1.04 1.33 1.50 1.71 3/5/2004 2.53 2.70 3.44 3.87 4.42 9/4/2004 1.00 1.06 1.35 1.53 1.74 3/6/2004 3.53 3.76 4.79 5.40 6.16 9/5/2004 3.47 3.70 4.72 5.31 6.06 3/7/2004 2.75 2.93 3.74 4.21 4.80 9/6/2004 1.70 1.81 2.31 2.60 2.96 3/8/2004 1.60 1.70 2.17 2.44 2.79 9/7/2004 2.01 2.15 2.74 3.08 3.52 3/9/2004 0.56 0.60 0.76 0.86 0.98 9/8/2004 0.88 0.94 1.20 1.35 1.54
3/10/2004 1.13 1.21 1.54 1.73 1.97 9/9/2004 3.02 3.22 4.11 4.62 5.27 3/11/2004 1.15 1.23 1.56 1.76 2.01 9/10/2004 2.71 2.89 3.68 4.14 4.72 3/12/2004 2.79 2.98 3.79 4.27 4.87 9/11/2004 0.73 0.77 0.99 1.11 1.27 3/13/2004 3.61 3.85 4.91 5.53 6.31 9/12/2004 0.91 0.97 1.24 1.40 1.59 3/14/2004 2.52 2.68 3.42 3.85 4.39 9/13/2004 1.28 1.36 1.74 1.96 2.23 3/15/2004 3.83 4.08 5.20 5.85 6.68 9/14/2004 1.29 1.37 1.75 1.97 2.25 3/16/2004 1.40 1.50 1.91 2.15 2.45 9/15/2004 1.28 1.37 1.74 1.96 2.24 3/17/2004 1.91 2.04 2.60 2.93 3.34 9/16/2004 0.98 1.05 1.34 1.51 1.72 3/18/2004 1.86 1.98 2.53 2.85 3.25 9/17/2004 0.75 0.80 1.02 1.15 1.31 3/19/2004 1.31 1.40 1.78 2.01 2.29 9/18/2004 1.86 1.98 2.52 2.84 3.24 3/20/2004 2.49 2.65 3.38 3.81 4.35 9/19/2004 2.44 2.60 3.31 3.73 4.25 3/21/2004 3.60 3.84 4.89 5.51 6.29 9/20/2004 1.23 1.31 1.67 1.88 2.15 3/22/2004 3.89 4.15 5.29 5.96 6.80 9/21/2004 0.76 0.81 1.03 1.17 1.33 3/23/2004 2.63 2.81 3.58 4.03 4.60 9/22/2004 1.14 1.21 1.55 1.74 1.99 3/24/2004 1.82 1.94 2.47 2.79 3.18 9/23/2004 1.30 1.38 1.76 1.99 2.27 3/25/2004 2.66 2.83 3.61 4.07 4.64 9/24/2004 0.58 0.62 0.79 0.89 1.02 3/26/2004 2.36 2.52 3.21 3.62 4.13 9/25/2004 1.26 1.34 1.71 1.93 2.20 3/27/2004 2.40 2.56 3.26 3.67 4.19 9/26/2004 1.34 1.43 1.82 2.05 2.34 3/28/2004 2.17 2.32 2.95 3.33 3.79 9/27/2004 0.95 1.01 1.29 1.45 1.65 3/29/2004 3.22 3.44 4.38 4.93 5.62 9/28/2004 0.63 0.67 0.85 0.96 1.09 3/30/2004 3.56 3.80 4.84 5.45 6.22 9/29/2004 1.72 1.84 2.34 2.64 3.01 3/31/2004 2.70 2.88 3.67 4.14 4.72 9/30/2004 0.74 0.79 1.00 1.13 1.29 4/1/2004 3.76 4.01 5.11 5.75 6.56 10/1/2004 0.61 0.65 0.83 0.94 1.07 4/2/2004 3.02 3.23 4.11 4.63 5.28 10/2/2004 2.35 2.50 3.19 3.59 4.10 4/3/2004 0.98 1.04 1.33 1.49 1.71 10/3/2004 1.01 1.08 1.37 1.54 1.76 4/4/2004 1.51 1.62 2.06 2.32 2.64 10/4/2004 1.85 1.97 2.51 2.83 3.23 4/5/2004 5.08 5.42 6.91 7.78 8.88 10/5/2004 1.85 1.97 2.51 2.83 3.23 4/6/2004 4.62 4.93 6.29 7.08 8.08 10/6/2004 0.91 0.97 1.24 1.40 1.59 4/7/2004 1.56 1.67 2.12 2.39 2.73 10/7/2004 0.78 0.84 1.06 1.20 1.37 4/8/2004 1.20 1.28 1.64 1.84 2.10 10/8/2004 0.77 0.82 1.05 1.18 1.35 4/9/2004 2.58 2.75 3.51 3.95 4.50 10/9/2004 2.68 2.86 3.65 4.11 4.68
4/10/2004 3.04 3.25 4.14 4.66 5.32 10/10/2004 2.33 2.49 3.17 3.57 4.08 4/11/2004 1.51 1.61 2.06 2.32 2.64 10/11/2004 3.72 3.97 5.06 5.69 6.50 4/12/2004 1.76 1.87 2.39 2.69 3.07 10/12/2004 2.81 3.00 3.82 4.30 4.91 4/13/2004 4.28 4.57 5.82 6.56 7.48 10/13/2004 0.85 0.91 1.15 1.30 1.48 4/14/2004 2.46 2.62 3.34 3.76 4.29 10/14/2004 1.13 1.21 1.54 1.73 1.97 4/15/2004 3.68 3.92 5.00 5.63 6.42 10/15/2004 1.83 1.95 2.49 2.80 3.20 4/16/2004 2.01 2.14 2.73 3.07 3.51 10/16/2004 1.80 1.92 2.45 2.76 3.14 4/17/2004 1.68 1.80 2.29 2.58 2.94 10/17/2004 1.77 1.89 2.41 2.71 3.10 4/18/2004 1.77 1.89 2.41 2.71 3.09 10/18/2004 2.06 2.19 2.79 3.15 3.59 4/19/2004 3.86 4.12 5.25 5.91 6.74 10/19/2004 0.92 0.98 1.25 1.41 1.60 4/20/2004 2.98 3.18 4.06 4.57 5.21 10/20/2004 1.81 1.93 2.46 2.77 3.17 4/21/2004 4.18 4.46 5.68 6.40 7.30 10/21/2004 1.56 1.66 2.11 2.38 2.72 4/22/2004 2.16 2.30 2.93 3.30 3.77 10/22/2004 1.16 1.24 1.58 1.78 2.03 4/23/2004 1.74 1.86 2.37 2.66 3.04 10/23/2004 1.35 1.44 1.84 2.07 2.36 4/24/2004 3.76 4.01 5.11 5.75 6.56 10/24/2004 1.50 1.60 2.04 2.30 2.62 4/25/2004 1.73 1.84 2.35 2.64 3.02 10/25/2004 0.55 0.58 0.74 0.84 0.95 4/26/2004 1.94 2.07 2.63 2.97 3.38 10/26/2004 1.64 1.75 2.23 2.51 2.86
Augenbraun 23
4/27/2004 2.08 2.22 2.83 3.19 3.64 10/27/2004 1.20 1.28 1.63 1.84 2.10 4/28/2004 3.77 4.02 5.12 5.77 6.58 10/28/2004 0.84 0.89 1.14 1.28 1.46 4/29/2004 2.27 2.42 3.08 3.47 3.96 10/29/2004 0.68 0.72 0.92 1.04 1.18 4/30/2004 2.45 2.61 3.33 3.75 4.28 10/30/2004 2.57 2.74 3.49 3.93 4.48 5/1/2004 2.46 2.63 3.35 3.77 4.30 10/31/2004 3.27 3.49 4.45 5.01 5.72 5/2/2004 3.43 3.66 4.66 5.25 5.99 11/1/2004 2.94 3.13 3.99 4.49 5.13 5/3/2004 1.80 1.92 2.45 2.76 3.15 11/2/2004 2.14 2.28 2.91 3.28 3.74 5/4/2004 3.58 3.82 4.87 5.49 6.26 11/3/2004 4.63 4.94 6.30 7.09 8.09 5/5/2004 1.23 1.31 1.67 1.88 2.14 11/4/2004 1.55 1.65 2.11 2.37 2.71 5/6/2004 1.17 1.25 1.59 1.79 2.04 11/5/2004 3.73 3.98 5.07 5.71 6.51 5/7/2004 3.53 3.76 4.80 5.40 6.16 11/6/2004 2.82 3.01 3.84 4.32 4.93 5/8/2004 1.15 1.23 1.57 1.77 2.02 11/7/2004 2.42 2.59 3.30 3.71 4.23 5/9/2004 1.70 1.81 2.31 2.60 2.97 11/8/2004 3.06 3.27 4.17 4.69 5.35
5/10/2004 2.28 2.43 3.09 3.48 3.97 11/9/2004 1.96 2.10 2.67 3.01 3.43 5/11/2004 1.89 2.02 2.57 2.89 3.30 11/10/2004 1.79 1.90 2.43 2.73 3.12 5/12/2004 1.38 1.48 1.88 2.12 2.42 11/11/2004 2.13 2.27 2.89 3.26 3.72 5/13/2004 2.54 2.71 3.45 3.88 4.43 11/12/2004 1.46 1.55 1.98 2.23 2.55 5/14/2004 2.73 2.91 3.71 4.17 4.76 11/13/2004 3.12 3.33 4.24 4.77 5.45 5/15/2004 1.85 1.97 2.51 2.83 3.23 11/14/2004 2.11 2.25 2.86 3.22 3.68 5/16/2004 1.43 1.53 1.95 2.19 2.50 11/15/2004 2.05 2.19 2.79 3.14 3.58 5/17/2004 1.55 1.65 2.10 2.37 2.70 11/16/2004 1.71 1.82 2.32 2.61 2.98 5/18/2004 3.27 3.49 4.44 5.00 5.71 11/17/2004 0.97 1.04 1.32 1.49 1.70 5/19/2004 2.46 2.63 3.35 3.77 4.30 11/18/2004 1.21 1.29 1.64 1.85 2.11 5/20/2004 2.41 2.57 3.27 3.68 4.20 11/19/2004 1.82 1.94 2.47 2.78 3.17 5/21/2004 1.38 1.47 1.87 2.11 2.41 11/20/2004 1.42 1.51 1.93 2.17 2.48 5/22/2004 3.33 3.55 4.52 5.09 5.81 11/21/2004 1.93 2.06 2.63 2.96 3.38 5/23/2004 2.51 2.68 3.42 3.85 4.39 11/22/2004 1.50 1.60 2.05 2.30 2.63 5/24/2004 2.44 2.60 3.31 3.73 4.26 11/23/2004 1.57 1.68 2.14 2.41 2.75 5/25/2004 2.10 2.24 2.86 3.22 3.67 11/24/2004 2.25 2.40 3.05 3.44 3.92
Augenbraun 24
Figure B1. The power curve of the Eoltec Scirocco wind turbine.
Appendix B: Wind Turbine Power Curves
Augenbraun 25
Figure B2. The power curve of the Bergey Excel-S wind turbine.
Figure B3. The power curves of the ARE 110 and ARE 442.
Augenbraun 26
Figure B4. The power curve of the ReDriven 5kW turbine.
Figure B5. The power curve of the Windspire.
Augenbraun 27