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            2012 International Transaction Journal of Engineering, Management, & Applied Sciences & Technologies.




                   International Transaction Journal of Engineering,
                   Management, & Applied Sciences & Technologies
                              http://www.TuEngr.com,             http://go.to/Research




                       Evaluation of the Wind Energy Potential of a
                       Mountainous Region in the Ceará State, Brazil
                                                         a                                       a
                       Erick B. A. C. Cunha , João B. V. Leal Junior , Humberto A.
                                    a                           a*                                   a
                       Carmona , Lutero C. de Lima                   and Gerson P. Almeida .

a
    Department of Physics, Ceará State University, BRASIL


ARTICLEINFO                         A B S T RA C T
Article history:                             The aim of this work is to evaluate the wind energy
Received 11 October 2011
Received in revised form 10         potential of two sites in the Ibiapaba Mountain situated in the
January 2012                        Ceará State, Brazil. Techniques and parameters used for the
Accepted 12 January 2012            assessment of wind energy in those sites are described and
Available online 14 January 2012
                                    statistical analysis of wind speed and direction is performed in
Keywords:                           data collected of two meteorological stations. It was observed
Wind speed                          that the Ibiapaba Mountain presents significant wind energy
Wind potential                      potential and adequate to satisfy the demand for electricity at the
Weibull distribution                region and consequently may be suitable to complement the
                                    energy matrix of the Ceará State.

                                      2012 International Transaction Journal of Engineering, Management, &
                                    Applied Sciences & Technologies                 .



1. Introduction 
       The demand for electric energy in Brazil and in the world will practically double by the
year 2030 (IEA, 2004). Most of this demand will be met by fossil fuels intensifying the
greenhouse effect. Presently about 75% of the produced electric energy in Brazil comes from
hydropower plants (ANEEL, 2009). Even being a renewable and sustainable source of energy
at least in terms of emission of greenhouse gases, the implementation of commercial
hydropower plants requires considerable volume of water and height of the dam. This
*Corresponding author (Lutero C. de Lima). Tel/Fax: +55-85-31019904. E-mail addresses:
lutero@pq.cnpq.br.          2012 Volume 3 No.1 International Transaction Journal of
Engineering, Management, & Applied Sciences & Technologies. eISSN: 1906-9642.  Online
                                                                                                              1
Available at http://TuEngr.com/V03/1-19.pdf.
potentially causes the inundation of large extension of land and the retention of sediments.
The construction of new hydropower plants in the near term will not satisfy the growing
Brazilian demand at the year 2008 was roughly 100 GW. Therefore it is necessary that Brazil
diversify its ways of electric energy production considering the natural characteristics of each
region, preferentially making use of electric energy sources that produce the minimum impact
on nature and population, and at the same time being economically competitive with
traditional forms of energy production. The Brazilian Government took one step in this
direction in 2002, through the creation of the Program of Incentives for Alternative Electricity
Sources (PROINFA). This program had as objective the increase of the participation of
renewable energy sources for the production of electricity aiming to increase up to 10% of the
total demand until the year 2022. Among the renewable sources, wind energy looks as the
most prominent, mainly due to its already commercial use as for example in Europe (Burton
et. al., 2001) and other parts of the World.


    As highlighted in the Brazilian Wind Atlas (Amarante et. al., 2001) and in the Wind
Energy Resource Map launched by the Ceará State Infrastructure Secretary, the state of Ceará
plays an important role in the future of the national energy policy, since it has one of the
greatest wind energy potential in Brazil, comprehending 25 GW onshore and 10 GW offshore.
The Geographic Information System based software WindMap™ (Brower & Co, EUA) has
been used for the elaboration of the Brazilian Wind Atlas. It requires the insertion of locally
measured wind data, and through interpolations and the solution of a set of partial differential
equations such as continuity, momentum, energy and others, it constructs maps with graphical
indication of wind intensity and direction in the region of interest. However in the elaboration
of both the Brazilian Wind Atlas and the Ceará Wind Energy Resource Atlas not enough
measured data were used for mountainous regions, in particular in the Ibiapaba Mountain
region situated in the northwest of the Ceará State, as indicated in the Figure 1. Such lack of
data may cause errors at the estimation of the wind speed. Excluding some particular sites in
the coastal region of the state, meteorological stations are relatively spread and it may result
in significant error in the parameters estimated for regions far from such stations.


    On the other hand, it is known that mountainous regions may intensify the wind speed
(Turnipseed et. al., 2004) as a result of the circulation due the coupling of the valley-mountain
system with other meteorological systems, with consequent tunneling effect that arise when
    2            E. B. A. C. Cunha, J. B. V. Leal Junior, H. A. Carmona, L. C. de Lima and G. P. Almeida.
valleys are lined with the wind flow direction. It is also known that the topography may
produce areas with low wind intensity, for example when valleys are circled by mountains, or
the leeward effect of hills or sites where the wind creates stagnation points. The literature has
been pointing the potential of such regions as viable for wind energy project (Turnipseed et.
al., 2004; Palma et. al., 2008).




Figure 1: Ceará State topography map, indicating the Ibiapaba Mountain region situated in the
                 northwest region. Source: Ceará State Infrastructure Secretary.


    It is, therefore, interesting to make more detailed studies on the wind power potential of
mountainous regions aiming to increase the accuracy of existing wind atlas. In this paper an
evaluation of the wind energy potential in the Ibiapaba Mountain is made through an analysis
of the data recorded by two meteorological stations installed in this region by the
Meteorology and Water Resource Agency of the Ceará State (FUNCEME).


2. Wind energy potential characterization 
    In order to characterize the wind energy potential of a region it is necessary to know the
*Corresponding author (Lutero C. de Lima). Tel/Fax: +55-85-31019904. E-mail addresses:
lutero@pq.cnpq.br.          2012 Volume 3 No.1 International Transaction Journal of
Engineering, Management, & Applied Sciences & Technologies. eISSN: 1906-9642.  Online
                                                                                         3
Available at http://TuEngr.com/V03/1-19.pdf.
structure and conditions of the wind. It is also important to know the physical parameters used
to characterize the wind resources as well its classes. The most remarkable characteristic is
the variability. The wind is highly variable in space and time. In the large scale, this spatial
variability results from the fact that there are different climatic regions in the World as
consequence of the irregular incident solar radiation on the globe depending on the
geographical situation. The variation inside a certain climatic region is caused by aspects such
as the relative portion of land and water and the presence of flat or mountainous regions. In
this scale, vegetation has a significant influence as a medium for absorption and reflection of
solar radiation, which affects surface temperature and humidity. As the scale decreases, the
topography becomes more and more important. The fact is that on the top of the hills and
mountains the wind speed is greater than in the leeward side or in the protected valleys.
Depending on the topography relative to the incident wind, air can be constricted causing an
increase on its speed. In even smaller scales, obstacles such as trees and buildings reduce
significantly the wind speed.


    The wind temporal variability scale decreases with the decrease in the considered space
scale. In a certain large-scale domain, for example, the wind intensity temporal variability can
vary from one year to even decades or more. Although studies (Meneses Neto et. al., 2006)
show that the annual variation is caused in part by the El Niño and La Niña phenomena, the
long term variations are not yet well understood and may turn difficult to achieve the
exactness in the analysis of the feasibility of a wind power project in a particular region.


    In time scales smaller than one year there are seasonable variations, which are very much
foreseeable. However there are still large variations in a relatively short time scale. These
variations can be caused by the passage of climatic systems, or due to the diurnal surface
heating and cooling cycles. In the time scale of months, days and hours the forecasting of the
wind speed is very important for the management of wind energy systems connected to the
electric grid, allowing the electric energy concessionary and the National Operator of Electric
System (ONS in Brazil) the decision to use an alternative form of energy to supply the grid.
Variations of wind speed in the time scale smaller than a minute or a second are usually
originated from turbulence and may be even more significant for the design of a wind turbine
and for the quality of the electric energy delivered to the power grid.


    4            E. B. A. C. Cunha, J. B. V. Leal Junior, H. A. Carmona, L. C. de Lima and G. P. Almeida.
2.1 Parameters used for wind energy potential characterization 
    Wind energy is the energy associated with the movement of a certain quantity of air. Part
of this energy is captured by a wind turbine, which basically consists of a rotor with two or
three blades coupled to an electric generator. The energy dE associated with the movement of
a certain air mass dm is given by


                       1
                dE =     dm ⋅ v 2 ,                                                          (1)
                       2


    Where v is the wind speed. Considering a turbine with axis parallel to the wind direction,
and its blades sweeping a surface area A, one can see that dm = ρAvdt, where ρ is the air
specific mass. Substituting in Equation (1) and taking the derivative with respect to time one
obtain the wind speed dependence for the power available to the generator


                     dE 1
                P=     = ρ Av 3 .                                                            (2)
                     dt 2


    The power can also be expressed in terms of the power density DP, defined as the
available power divided by the swept area,


                       P 1 3
                DP =    = ρv .                                                               (3)
                       A 2


    The average wind speed is then used to evaluate the average power density. Together
these two parameters constitute the main parameters used in the evaluation wind energy
potential in a region. The specific annual electric energy production is estimated and this data
are usually represented using contour curves superposed to the region map (Patel, 1999).


    The local wind speed distribution can be used to estimate the average wind velocity over
a region in a certain period of time. Usually expressed in terms of the occurrence percentage,
the wind velocity data are usually fitted using an empirical probability density function
(Burton et. al., 2001; Patel, 1999). The two-parameter Weibull distribution has been widely

*Corresponding author (Lutero C. de Lima). Tel/Fax: +55-85-31019904. E-mail addresses:
lutero@pq.cnpq.br.          2012 Volume 3 No.1 International Transaction Journal of
Engineering, Management, & Applied Sciences & Technologies. eISSN: 1906-9642.  Online
                                                                                         5
Available at http://TuEngr.com/V03/1-19.pdf.
used to model wind speed distributions (Escalante-Sandoval, 2008; Ettoumi et. al., 2003;
Garcia-Bustamante et. al., 2008; Genc et. al., 2005; Justus et. al., 1976, Justus et. al., 1978;
Tuller and Brett, 1984; Ucar and Balo, 2009; Vallee et. al., 2008). The Weibull probability
density function gives the probability to find wind speeds between v and v + dv as


                            k ⎛v⎞
                                    k −1
                                               ⎡ ⎛ v ⎞k ⎤
                f ( v ) dv = ⎜ ⎟           exp ⎢ − ⎜ ⎟ ⎥ dv,                                                (4)
                            c⎝c⎠               ⎢ ⎝c⎠ ⎥
                                               ⎣        ⎦


    Where k and c are the shape and scale factors, respectively. The corresponding
cumulative probability function is given by


                                               ⎡ v k⎤
                F (v) = f (v ′ ) dv′ = 1 − exp ⎢ − ⎛ ⎞ ⎥ .
                              v
                              ∫

                              0                    ⎜ ⎟                                                      (5)
                                               ⎢ ⎝c⎠ ⎥
                                               ⎣       ⎦


    The average wind speed can be evaluated by


                v = 0 v f (v)dv .
                    ∞ ∫
                                                                                                            (6)


    Using Equation (4) in (6), one can relate the average wind speed to the Weibull scale and
form parameters by


                        ⎛ 1⎞
                v = c Γ ⎜1 + ⎟ ,                                                                            (7)
                        ⎝ k⎠


    Where Γ is the Gamma function. The standard deviation can be expressed in terms of
theses parameters as


                      ⎡ ⎛ 2⎞        ⎛ 1⎞ ⎤
                                          2

                σ = c ⎢Γ ⎜1 + ⎟ − Γ ⎜1 + ⎟ ⎥
                  2       2
                                                                                                            (8)
                      ⎢ ⎝ k⎠
                      ⎣             ⎝ k⎠ ⎥  ⎦


    The wind data are typically measured over a one-year period and recorded as hourly


    6            E. B. A. C. Cunha, J. B. V. Leal Junior, H. A. Carmona, L. C. de Lima and G. P. Almeida.
averaged speed, which lead to a set of discrete values. The probability density function is
obtained by fitting the data using a histogram. The measured data are divided into N intervals,
or wind classes, centered on the speed values vi . Let the frequencies of data on each interval

be fi , and the cumulative frequencies Fi . Then, by plotting the data with the transformations


                 xi = ln vi ,


                yi = ln ⎡ − ln (1 − Fi ) ⎤ ,
                        ⎣                ⎦                                                    (9)


    One can determine the Weibull parameters by fitting with Equation (5) which transforms
to a linear form y = a + bx with k = b and c = exp (−a/b).


    It is equally necessary to the evaluation of a wind energy project to know the wind
direction and its variability. The importance of this knowledge relies on the fact that the wind
turbines present optimal performance when they receive frontal winds. Modern turbines
incorporate a system that rotates the structure of its hub in order to face frontally incident
wind. The lower the variability of the wind direction, the greater will be the turbine
performance. The preferential wind direction is also fundamental for the installation of a wind
farm, since it will be used to minimize problems such as shadow or wakes from one turbine to
another.


    All statistical treatment given to the wind speed can be also given to its direction.
However, it is common practice to represent the frequency or probability of the wind direction
in a polar (circular) graph of 360˚. On this graph 0˚ represents the North, 90˚ the East and so
on. In general such graph is called Wind Rose.


3. Vertical profile of wind speed and the surface boundary layer 
    The wind near the terrestrial surface is subjected to shear stresses that attenuate its speed.
Lower atmospheric layers in direct contact with the soil will experience reduction in its
acceleration. As consequence the speed of higher layers will be attenuated resulting in a
vertical speed profile.
*Corresponding author (Lutero C. de Lima). Tel/Fax: +55-85-31019904. E-mail addresses:
lutero@pq.cnpq.br.          2012 Volume 3 No.1 International Transaction Journal of
Engineering, Management, & Applied Sciences & Technologies. eISSN: 1906-9642.  Online
                                                                                         7
Available at http://TuEngr.com/V03/1-19.pdf.
The farther an air layer is from the surface, the smaller it will be the effect of the shear
stress. At the height of approximately 3 000 m, the terrestrial atmosphere is not affected by
the shear stresses at the surface. The atmospheric layer in this height is called Planetary
Boundary Layer (PBL). Inside the PBL there is a sub layer, which characterizes the region of
interest to the evaluation of wind energy potential, which extends from the soil to the height
of approximately 100 m.


    The region above the PBL is the free Atmosphere. Inside it, air flows without the direct
influence from the terrestrial surface characterizing the geostrophic wind. However, in the
Surface Boundary Layer (SBL) the wind intensity is highly influenced by the terrestrial
surface and its variations with the altitude may be obtained by following the logarithmic
equation


                           v*  ⎛ z ⎞
                v ( z) =    ln ⎜ ⎟ ,                                                                        (10)
                           κ ⎝ z0 ⎠


    Where v ( z ) is the average wind speed at the altitude z, v* is the friction velocity, κ is

the von Karman constant and z0 is the rugosity length.


    Due to the difficulty in determining the friction velocity, since it depends on different
factors such as soil rugosity, the wind speed and the atmospheric stability, Equation (10) is
commonly used to find the wind speed in a certain height based on the knowledge of the
average wind speed vR in a reference altitude zR


                                 ln z − ln z0
                v ( z ) = vR                  .                                                             (11)
                                ln zR − ln z0




4. Classification of Wind Energy Potential 
    In order to classify the wind resources of a region normally it is used the available annual
average density of probability or the wind speed divided in categories called wind classes on
which are attributed colors for subsequent elaboration of contour graphs.

    8            E. B. A. C. Cunha, J. B. V. Leal Junior, H. A. Carmona, L. C. de Lima and G. P. Almeida.
There is no standard related to wind classes. However, the classification of the National
Renewable Energy Laboratory (NREL), USA, is used in many researches. The NREL
classification is shown in Table 1.


 Table 1: Wind classes as function of average power density and wind speed measured at the
                heights of 10 m and 50 m above the soil surface. Source: NREL.
                   DPM at 10 m        v at 10 m      DPM at 50 m        v at 50 m
 Wind Class                                                                              Description
                     (W/m2)             (m/s)          (W/m2)             (m/s)
      1              0 - 100          0.0 - 4.4        0 - 200           0.0 - 5.6           Poor
      2             100 - 150         4.4 - 5.1       200 - 300          5.6 - 6.4        Marginal
      3             150 - 200         5.1 - 5.6       300 - 400          6.4 - 4.0       Satisfactory
      4             200 - 250         5.6 - 6.0       400 - 500          7.0 - 7.5          Good
      5             250 - 300         6.0 - 6.4       500 - 600          7.5 - 8.0        Excellent
      6             300 - 400         6.4 - 7.0       600 - 800          8.0 - 8.8        Prominent
      7            400 - 1000         7.0 - 9.4      800 - 2000         8.8 - 11.9         Splendid

    The power density is proportional to the third momentum of a distribution of wind speed
and the air density. Therefore, there is not a unique relationship between the power density
and the average wind speed, which comprehends the first momentum of the distribution.
Using the distribution of Weibull for the wind speed and a standard specific mass for the air at
the sea level (1.22 kg/m3) the average wind speed can be determined for each limit of classes
of wind power. The decrease of the air specific mass with the altitude requires that the mean
speed must be increased by 3% for each 1000 m of elevation for maintaining the same power
density.


5. Methodology for the Evaluation of the Wind Energy Potential 
    The simplest way of evaluating the wind power potential of a region consists of
effectuating measurements in the region of interest through a net of anemometers and sensors
of wind direction. These measurements must be taken during a period of 3 to 5 years, to avoid
the risk of considering one year particularly calm or windy. After that, the recorded data must
be interpolated and extrapolated in time and space in order to have a general picture of the
wind resources of the considered region.




*Corresponding author (Lutero C. de Lima). Tel/Fax: +55-85-31019904. E-mail addresses:
lutero@pq.cnpq.br.          2012 Volume 3 No.1 International Transaction Journal of
Engineering, Management, & Applied Sciences & Technologies. eISSN: 1906-9642.  Online
                                                                                             9
Available at http://TuEngr.com/V03/1-19.pdf.
6. Meteorological Data 
    For the present study the data recorded in two FUNCEME meteorological stations
situated in the Ibiapaba Mountain in the Ceará state was used. One of the sites situates in the
São Benedito district and the other in the Ubajara district.


    The meteorological stations are data collecting platforms from Campbell Scientific,
model MO-034a, with a starting threshold of 0.4 m/s and an accuracy of ±0.11 m/s for
measurements below 10.1 m/s. FUNCEME was responsible for their initial certification as it
is for the periodic maintenance.


    Data recorded in the meteorological stations consist of hourly averaged measurement
performed in 10 min time intervals. The measurements are made at 10 m height from the
ground level. Validation tests are made at FUNCEME for verification of data errors and
inconsistencies.


    For the present study one considered wind speed and direction measurements taken from
the year 2004 to the year 2006, more than two years of total measurements. There are no other
meteorological stations in region of the Ibiapaba Mountain. In Table 2 it is shown the
geographical coordinates of the two stations used in this study.


     Table 2: Geographical coordinates of meteorological stations. Source: FUNCEME.
                    District             Longitude                Latitude          Altitude (m)
               São Benedito W 040˚ 54' 39.5" S 04˚ 01' 28.6"                             901
                    Ubajara         W 041˚ 07' 02.9" S 03˚ 51' 44.9"                     847




7. Wind Power Potential 
    The monthly averaged wind speed for each station is plotted in Figure 2. It shows that
during the first semester the average wind speeds are lower. This period correspond to the
rainy season in the region. In the second semester the average winds are higher, which in its
turn coincides with the drought period in the region. The same correlation between wind
speed and rain seasons is found in other localities in the Ceará State (Camelo, 2007).

    10             E. B. A. C. Cunha, J. B. V. Leal Junior, H. A. Carmona, L. C. de Lima and G. P. Almeida.
Figure 2: Monthly average wind speed at the height of 10 m.


    Polar graphs of the wind direction frequency distribution for the same region are shown
in Figure 3. Graphs are divided 16 parts in order to include cardinal points, collateral and sub
collateral points in the wind rose. Sector 0° corresponds to the North and sector 90°
corresponds to the East.


    Analysis of Figure 3 shows clearly that the main prevailing wind in the Ibiapaba
mountain region is easterly, with low variability in the wind direction. In São Benedito
practically 50% of the wind direction data is east, 32% of the wind direction is east-southeast.
In the Ubajara district about 30% is east, with a little more variability to the north. This low
variability in the wind direction is a good indication as discussed in Section 2.1.


    The histograms of the wind speed for the considered period are depicted in Figure 4.
There is also a curve fitting made by the use of a probability density function. As stressed in
Section 2.1, the best function for the evaluation of wind energy potential is the Weibull
function, Equation (4), being characterized by two parameters: the shape factor k and the scale
factor c.


*Corresponding author (Lutero C. de Lima). Tel/Fax: +55-85-31019904. E-mail addresses:
lutero@pq.cnpq.br.          2012 Volume 3 No.1 International Transaction Journal of
Engineering, Management, & Applied Sciences & Technologies. eISSN: 1906-9642.  Online
                                                                                         11
Available at http://TuEngr.com/V03/1-19.pdf.
(a)




                                                    (b)
Figure 3: Frequency distribution (%) of wind direction for (a) São Benedito and (b) Ubajara
                                            at 10 m height.

   12          E. B. A. C. Cunha, J. B. V. Leal Junior, H. A. Carmona, L. C. de Lima and G. P. Almeida.
(a)




                                                 (b)
 Figure 4: Frequency distribution (%) of wind speed for (a) São Benedito and (b) Ubajara, at
                                            10 m height.


*Corresponding author (Lutero C. de Lima). Tel/Fax: +55-85-31019904. E-mail addresses:
lutero@pq.cnpq.br.          2012 Volume 3 No.1 International Transaction Journal of
Engineering, Management, & Applied Sciences & Technologies. eISSN: 1906-9642.  Online
                                                                                         13
Available at http://TuEngr.com/V03/1-19.pdf.
The shape parameter k has inverse relationship with the standard deviation of the
distribution. High values of k indicate low variability of wind related to its average intensity.
The value for São Benedito is k = 2.94 and for Ubajara is k = 2.67. Considering two years as
the period of time, one sees that in São Benedito the distribution is thinner and the wind speed
less variable. Taking into account that wind in the Ceará state is seasonable, as seen in
Figure 2, Figure 5 shows the annual variation of the parameter k permitting to observe the
difference between the rainy and drought periods.




            Figure 5: Monthly variation of parameter k of the Weibull distribution.


    The scale factor in São Benedito is c = 5.00 m/s, while in Ubajara is c = 6.12 m/s. Since
the scale factor directly relates with the average wind speed, it may be concluded by these
results that in Ubajara the average wind speed is higher than in São Benedito. Figure 6 shows
the annual variation of the parameter c showing again the difference between the two periods.
Calculating the average speeds through the timely series from both stations one finds 4.46 m/s
for São Benedito and 5.44 m/s for Ubajara, as can be observed in Figures 4(a) and 4(b).


    Subsequently the average power density was calculated using Equation (3) and the wind
classification is presented in Table 3. For São Benedito, the wind class was found to be 1, and
for Ubajara the wind class was 2. Although they are winds of lower classes, they are
appropriate to attend the local necessity for electric energy, as it will be shown hereafter.



    14           E. B. A. C. Cunha, J. B. V. Leal Junior, H. A. Carmona, L. C. de Lima and G. P. Almeida.
Figure 6: Monthly variation of parameter c of the Weibull distribution.


    Table 3: Classification of wind energy potential of two sites of the Ibiapaba Mountain.
                     District          DPM at 10 m (W/m2) Wind Class Description
                São Benedito                 69.3              1            Poor
                   Ubajara                   134.1             2          Marginal


    In order to estimate the annual production of electric energy in those sites a commercial
wind turbine, with the nominal power of 2 MW will be considered.


    For the calculation of the produced electric energy in one determined year the following
expression is used


                 Eeletric = i =1 fi Pi t ,
                             ∑
                              n
                                                                                              (12)


    Where fi is the wind speed frequency relative to the class i, Pi is the equivalent power
obtained by the power curve of the turbine and t is the time interval between measurements, in
this case 1 hour. It is interesting to note that the value of the power calculated by speed class
includes the power coefficient as well its mechanical efficiency, aerodynamics and others
*Corresponding author (Lutero C. de Lima). Tel/Fax: +55-85-31019904. E-mail addresses:
lutero@pq.cnpq.br.          2012 Volume 3 No.1 International Transaction Journal of
Engineering, Management, & Applied Sciences & Technologies. eISSN: 1906-9642.  Online
                                                                                         15
Available at http://TuEngr.com/V03/1-19.pdf.
specific factors. It is also used an equation in order to make the fitting of the power curve of
the turbine in order to consider the difference between the air specific mass of the site and the
air specific mass where the power curve is applied as follow


                                        1/ 3
                                ⎛ ρ     ⎞
                veffective   = v⎜       ⎟ ,                                                                 (13)
                                ⎜ ρcp   ⎟
                                ⎝       ⎠


    Where v is the speed indicated in the power curve and calculated for the air specific mass
ρcp while veffective is the speed corresponding to the power but considering the site air specific
mass ρ .


    Considering that the speed measurements were not performed at the turbine’s rotor
height, a logarithmic extrapolation have been made by the use of Equation (11) in the data in
order to construct a new histogram of speed, now for the height of 70 m. Only after this
procedure Equation (12) was used.


    By this way, during one year, it would be generated in São Benedito about 3.674 MWh
for each turbine, while for example the consumption of electric energy in the region during
the year 2004 (IPECE, 2005) was of about 16.322 MWh or in other words it would be
necessary 5 turbines to match the demand in that year. The annual capacity factor for this
generator in that location is about 21% being considered good when compared to 22% in
average for Germany considered world reference in research about wind energy, manufacture
of turbines and implantation of wind farms (Carvalho, 2004).


    In Ubajara only one turbine would generate 6.227 MWh and for the year 2004 the electric
energy consumption was of about 14.460 MWh (IPECE, 2005) being therefore necessary only
3 turbines to attend the electricity demand. For this location the annual capacity factor was of
35.5% being considered excellent. In both cases, it was neglected turbines stops of
maintenance, loss of energy by transmission and other losses that vary from case to case but
which can reach about 10% of the calculated value.


    Analyzing the daily cycle of wind regime it was verified that the period of greater

    16           E. B. A. C. Cunha, J. B. V. Leal Junior, H. A. Carmona, L. C. de Lima and G. P. Almeida.
intensity occurs in the dawning and in the start of morning. This period does not coincide with
the demand peak of electric energy in the region, which uses to be in the evening. So it would
be recommended for such region that jointly with the wind farm it would be installed some
system of storing electric energy, which on its turn would be reconverted to the electric
energy during the peak demand.


8. Conclusions 
    It was demonstrated in this study that there are limitations in wind maps of the Ceará
state when it is necessary to evaluate the wind energy potential of mountainous region as for
example the Ibiapaba Mountain. It was also shown that similar regions in other countries have
already installed wind farms being therefore necessary research, which can furnish better
information about the wind resources of such regions in the Ceará state.


    It was also made an analysis of recorded measurements of two FUNCEME
meteorological stations in the mountaintop of Ibiapaba, in São Benedito and Ubajara districts.
It was revealed that there are wind resources available in that region and it would attend the
local demand of electric energy or could complement the energy matrix of the Ceará state. It
would be necessary 5 turbines of 2 MW of nominal power to attend the electric energy
demand of São Benedito and 3 turbines of the same nominal power to attend the demand of
Ubajara.


    However the analysis of daily wind cycle of such regions reveals that the period of
greater intensity of wind occurs during the dawning and the start of morning and that
therefore does not coincide with period of more demand of electric energy. So, it is
recommended for such regions that jointly with the wind farms a system of energy storage be
installed.


9. Acknowledgments 
    Authors would like to thank FUNCEME for providing data of the meteorological
stations. They also thank the National Council for Scientific and Technological Development
(CNPq) and the Ceará State Research Support Foundation (FUNCAP) for financial support.

*Corresponding author (Lutero C. de Lima). Tel/Fax: +55-85-31019904. E-mail addresses:
lutero@pq.cnpq.br.          2012 Volume 3 No.1 International Transaction Journal of
Engineering, Management, & Applied Sciences & Technologies. eISSN: 1906-9642.  Online
                                                                                         17
Available at http://TuEngr.com/V03/1-19.pdf.
10. References 
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Amarante, O. A. C., M. Brower, J. Zack and A. L. de Sá. (2001). Atlas do potencial eólico
      brasileiro. http://www.cresesb.cepel.br/publicacoes/atlas_eolico_brasil/atlas-web.htm.

Burton, T., D. Sharpe, N. Jenkins and E. Bossani. (2001). Wind Energy Handbook. John
       Wiley & Sons.

Camelo, H. N. (2007). Estudo numérico do vento Aracati para caracterização de seu
      potencial eólico. Master’s thesis, Universidade Estadual do Ceará, Fortaleza.

Carvalho, P. C. M. (2004). Geração Eólica, 1st. Edition. UFC, Fortaleza.

Escalante-Sandoval, C. (2008). Bivariate estimation of extreme wind speeds. Structural
       Safety, 30(6), 481-492.

Ettoumi, F. Y., H. Sauvageot, and A. E. H. Adane. (2003). Statistical bivariate modelling of
      wind using first-order Markov chain and Weibull distribution. Renewable Energy,
      28(11), 1787-1802.

Garcia-Bustamante, E., J. F. Gonzalez-Rouco, P. A. Jimenez, J. Navarro, and J. P. Montavez.
       (2008). The influence of the Weibull assumption in monthly wind energy estimation.
       Wind Energy, 11(5), 483-502.

Genc, A., M. Erisoglu, A. Pekgor, G. Oturanc, A. Hepbasli and K. Ulgen. (2005). Estimation
      of wind power potential using Weibull distribution. Energy Sources, 27(9), 809-822.

Instituto de Pesquisa e Estratégia Econômica do Ceará - IPECE. (2005). Anuário Estatístico
        do Ceará 2005, Fortaleza.
        http://www2.ipece.ce.gov.br/publicacoes/Anuario_2005/index.htm.

International Energy Agency - IEA. (2004). World Energy Outlook 2004, Paris.
        http://www.iea.org/weo/docs/weo2004/WEO2004.pdf.

Justus, C. G., W. R. Hargraves, A. Mikhail and D. Graber. (1978). Methods for estimating
        wind speed frequency-distributions. Journal of Applied Meteorology, 17(3), 350-353.

Justus, C. G., W. R. Hargraves and A. Yalcin. (1976). Nationwide assessment of potential
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        678.

Meneses Neto, J. L. Oliveira, A. A. Costa and S. S. Sombra. (2006). Impactos da circulação
      geral em casos de El-Niño e La-Niña no potencial eólico do Nordeste brasileiro. In:
      Anais Eletrônicos… Congresso Brasileiro de Meteorologia, SBMET, Rio de Janeiro.

Palma, J. M. L. M., F. A. Castro, L. F. Ribeiro, A. H. Rodrigues and A. P. Pinto. (2008).
       Linear and nonlinear models in wind resource assessment and wind turbine micro-
       siting in complex terrain. Journal of Wind Engineering and Industrial Aerodynamics,

    18          E. B. A. C. Cunha, J. B. V. Leal Junior, H. A. Carmona, L. C. de Lima and G. P. Almeida.
96(12), 2308-2326.

Patel, M. R. (1999). Wind and Solar Power systems. CRC Press.

Tuller, S. E. and A. C. Brett. (1984). The characteristics of wind velocity that favor the fitting
        of a Weibull distribution in wind-speed analysis. Journal of Climate and Applied
        Meteorology, 23(1), 124-134.

Turnipseed, A. A., D. E. Anderson, S. Burns, P. D. Blanken and R. K. Monson. (2004).
       Airflows and turbulent flux measurements in mountainous terrain. Part 2: Mesoscale
       effects. Agricultural and Forest Meteorology, 125(3-4), 187-205.

Ucar, A. and F. Balo. (2009). Investigation of wind characteristics and assessment of wind
       generation potentiality in Uludag-Bursa, Turkey. Applied Energy, 86(3), 333-339.

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       power integration. IEEE Transactions on Power Systems, 23(3), 1288-1297.



              Erick Batista de Alencar de Castro Cunha works with wind energy at Renova Energia, São Paulo. He
              obtained a Licence degree in Physics from Universidade Estadual do Ceará in 2002 and a Master of Science
              in Applied Physical Sciences from Universidade Estadual do Ceará in 2008. His current interests involve
              wind energy and meteorology.


              Dr.João Bosco Verçosa Leal Junior is currently Adjunct Professor at the Department of Physics at
              Universidade Estadual do Ceará, since 2002. He obtained Bachelor of Science, Master of Science and PhD
              degrees in Physics from Universidade Federal do Ceará in 1994, 1998 and 2003, respectively. His interests
              involve Physics and Geosciences, with emphasis in atmospheric physics, micrometeorology, climatology
              and statistical physics.

              Dr.Lutero Carmo de Lima graduated in Physics by the University of Santo Amaro, M.Sc. and Dr. Eng. in
              Mechanical Engineering by the Federal University of Santa Catarina and University of São Paulo,
              respectively. He is presently adjunct Professor at the State University of Ceará and basically works in
              fundamental problems of the thermal science, clean energy and instrumentation. Published more than 100
              articles on referenced congresses and journals. He was awarded a Fulbright Fellow and inducted as Vice
              President of PHI BETA DELTA, Chapter Beta Theta, Honour Society for International Scholars, USA.
              Dr.Humberto de Andrade Carmona is an Adjunct Professor in the Program for Applied Physical Science
              at the Ceara State University working mainly with alternative energies, particularly with material science
              applied to problems involving thermal science and solar energy. He holds a PhD in Physics from the
              University of Nottingham, England, as well as MS and graduation from the Federal University of São
              Carlos, Brazil. He has vast experience with electronic transport in semiconductor devices, and computer
              modeling of materials.

              Dr.Gerson Paiva Almeida is an Adjunct Professor at the Department of Physics at Universidade Estadual
              do Ceará. He obtained Bachelor of Science, Master of Science and Doctor of Science degrees in Physics
              from Universidade Federal do Ceará in 1994, 1997 and 2001, respectively. He worked at Météo-France in
              Toulouse as a part of his doctoral course. His interests involve atmospheric physics, with emphasis in cloud
              physics, precipitation, turbulent transport and aerosols.

Peer Review: This article has been internationally peer-reviewed and accepted for publication
             according to the guidelines given at the journal’s website.



*Corresponding author (Lutero C. de Lima). Tel/Fax: +55-85-31019904. E-mail addresses:
lutero@pq.cnpq.br.          2012 Volume 3 No.1 International Transaction Journal of
Engineering, Management, & Applied Sciences & Technologies. eISSN: 1906-9642.  Online
                                                                                                               19
Available at http://TuEngr.com/V03/1-19.pdf.

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Evaluation of the Wind Energy Potential of a Mountainous Region in the Ceará State, Brazil

  • 1. 2011 2012 International Transaction Journal of Engineering, Management, & Applied Sciences & Technologies. International Transaction Journal of Engineering, Management, & Applied Sciences & Technologies http://www.TuEngr.com, http://go.to/Research Evaluation of the Wind Energy Potential of a Mountainous Region in the Ceará State, Brazil a a Erick B. A. C. Cunha , João B. V. Leal Junior , Humberto A. a a* a Carmona , Lutero C. de Lima and Gerson P. Almeida . a Department of Physics, Ceará State University, BRASIL ARTICLEINFO A B S T RA C T Article history: The aim of this work is to evaluate the wind energy Received 11 October 2011 Received in revised form 10 potential of two sites in the Ibiapaba Mountain situated in the January 2012 Ceará State, Brazil. Techniques and parameters used for the Accepted 12 January 2012 assessment of wind energy in those sites are described and Available online 14 January 2012 statistical analysis of wind speed and direction is performed in Keywords: data collected of two meteorological stations. It was observed Wind speed that the Ibiapaba Mountain presents significant wind energy Wind potential potential and adequate to satisfy the demand for electricity at the Weibull distribution region and consequently may be suitable to complement the energy matrix of the Ceará State. 2012 International Transaction Journal of Engineering, Management, & Applied Sciences & Technologies . 1. Introduction  The demand for electric energy in Brazil and in the world will practically double by the year 2030 (IEA, 2004). Most of this demand will be met by fossil fuels intensifying the greenhouse effect. Presently about 75% of the produced electric energy in Brazil comes from hydropower plants (ANEEL, 2009). Even being a renewable and sustainable source of energy at least in terms of emission of greenhouse gases, the implementation of commercial hydropower plants requires considerable volume of water and height of the dam. This *Corresponding author (Lutero C. de Lima). Tel/Fax: +55-85-31019904. E-mail addresses: lutero@pq.cnpq.br. 2012 Volume 3 No.1 International Transaction Journal of Engineering, Management, & Applied Sciences & Technologies. eISSN: 1906-9642. Online 1 Available at http://TuEngr.com/V03/1-19.pdf.
  • 2. potentially causes the inundation of large extension of land and the retention of sediments. The construction of new hydropower plants in the near term will not satisfy the growing Brazilian demand at the year 2008 was roughly 100 GW. Therefore it is necessary that Brazil diversify its ways of electric energy production considering the natural characteristics of each region, preferentially making use of electric energy sources that produce the minimum impact on nature and population, and at the same time being economically competitive with traditional forms of energy production. The Brazilian Government took one step in this direction in 2002, through the creation of the Program of Incentives for Alternative Electricity Sources (PROINFA). This program had as objective the increase of the participation of renewable energy sources for the production of electricity aiming to increase up to 10% of the total demand until the year 2022. Among the renewable sources, wind energy looks as the most prominent, mainly due to its already commercial use as for example in Europe (Burton et. al., 2001) and other parts of the World. As highlighted in the Brazilian Wind Atlas (Amarante et. al., 2001) and in the Wind Energy Resource Map launched by the Ceará State Infrastructure Secretary, the state of Ceará plays an important role in the future of the national energy policy, since it has one of the greatest wind energy potential in Brazil, comprehending 25 GW onshore and 10 GW offshore. The Geographic Information System based software WindMap™ (Brower & Co, EUA) has been used for the elaboration of the Brazilian Wind Atlas. It requires the insertion of locally measured wind data, and through interpolations and the solution of a set of partial differential equations such as continuity, momentum, energy and others, it constructs maps with graphical indication of wind intensity and direction in the region of interest. However in the elaboration of both the Brazilian Wind Atlas and the Ceará Wind Energy Resource Atlas not enough measured data were used for mountainous regions, in particular in the Ibiapaba Mountain region situated in the northwest of the Ceará State, as indicated in the Figure 1. Such lack of data may cause errors at the estimation of the wind speed. Excluding some particular sites in the coastal region of the state, meteorological stations are relatively spread and it may result in significant error in the parameters estimated for regions far from such stations. On the other hand, it is known that mountainous regions may intensify the wind speed (Turnipseed et. al., 2004) as a result of the circulation due the coupling of the valley-mountain system with other meteorological systems, with consequent tunneling effect that arise when 2 E. B. A. C. Cunha, J. B. V. Leal Junior, H. A. Carmona, L. C. de Lima and G. P. Almeida.
  • 3. valleys are lined with the wind flow direction. It is also known that the topography may produce areas with low wind intensity, for example when valleys are circled by mountains, or the leeward effect of hills or sites where the wind creates stagnation points. The literature has been pointing the potential of such regions as viable for wind energy project (Turnipseed et. al., 2004; Palma et. al., 2008). Figure 1: Ceará State topography map, indicating the Ibiapaba Mountain region situated in the northwest region. Source: Ceará State Infrastructure Secretary. It is, therefore, interesting to make more detailed studies on the wind power potential of mountainous regions aiming to increase the accuracy of existing wind atlas. In this paper an evaluation of the wind energy potential in the Ibiapaba Mountain is made through an analysis of the data recorded by two meteorological stations installed in this region by the Meteorology and Water Resource Agency of the Ceará State (FUNCEME). 2. Wind energy potential characterization  In order to characterize the wind energy potential of a region it is necessary to know the *Corresponding author (Lutero C. de Lima). Tel/Fax: +55-85-31019904. E-mail addresses: lutero@pq.cnpq.br. 2012 Volume 3 No.1 International Transaction Journal of Engineering, Management, & Applied Sciences & Technologies. eISSN: 1906-9642. Online 3 Available at http://TuEngr.com/V03/1-19.pdf.
  • 4. structure and conditions of the wind. It is also important to know the physical parameters used to characterize the wind resources as well its classes. The most remarkable characteristic is the variability. The wind is highly variable in space and time. In the large scale, this spatial variability results from the fact that there are different climatic regions in the World as consequence of the irregular incident solar radiation on the globe depending on the geographical situation. The variation inside a certain climatic region is caused by aspects such as the relative portion of land and water and the presence of flat or mountainous regions. In this scale, vegetation has a significant influence as a medium for absorption and reflection of solar radiation, which affects surface temperature and humidity. As the scale decreases, the topography becomes more and more important. The fact is that on the top of the hills and mountains the wind speed is greater than in the leeward side or in the protected valleys. Depending on the topography relative to the incident wind, air can be constricted causing an increase on its speed. In even smaller scales, obstacles such as trees and buildings reduce significantly the wind speed. The wind temporal variability scale decreases with the decrease in the considered space scale. In a certain large-scale domain, for example, the wind intensity temporal variability can vary from one year to even decades or more. Although studies (Meneses Neto et. al., 2006) show that the annual variation is caused in part by the El Niño and La Niña phenomena, the long term variations are not yet well understood and may turn difficult to achieve the exactness in the analysis of the feasibility of a wind power project in a particular region. In time scales smaller than one year there are seasonable variations, which are very much foreseeable. However there are still large variations in a relatively short time scale. These variations can be caused by the passage of climatic systems, or due to the diurnal surface heating and cooling cycles. In the time scale of months, days and hours the forecasting of the wind speed is very important for the management of wind energy systems connected to the electric grid, allowing the electric energy concessionary and the National Operator of Electric System (ONS in Brazil) the decision to use an alternative form of energy to supply the grid. Variations of wind speed in the time scale smaller than a minute or a second are usually originated from turbulence and may be even more significant for the design of a wind turbine and for the quality of the electric energy delivered to the power grid. 4 E. B. A. C. Cunha, J. B. V. Leal Junior, H. A. Carmona, L. C. de Lima and G. P. Almeida.
  • 5. 2.1 Parameters used for wind energy potential characterization  Wind energy is the energy associated with the movement of a certain quantity of air. Part of this energy is captured by a wind turbine, which basically consists of a rotor with two or three blades coupled to an electric generator. The energy dE associated with the movement of a certain air mass dm is given by 1 dE = dm ⋅ v 2 , (1) 2 Where v is the wind speed. Considering a turbine with axis parallel to the wind direction, and its blades sweeping a surface area A, one can see that dm = ρAvdt, where ρ is the air specific mass. Substituting in Equation (1) and taking the derivative with respect to time one obtain the wind speed dependence for the power available to the generator dE 1 P= = ρ Av 3 . (2) dt 2 The power can also be expressed in terms of the power density DP, defined as the available power divided by the swept area, P 1 3 DP = = ρv . (3) A 2 The average wind speed is then used to evaluate the average power density. Together these two parameters constitute the main parameters used in the evaluation wind energy potential in a region. The specific annual electric energy production is estimated and this data are usually represented using contour curves superposed to the region map (Patel, 1999). The local wind speed distribution can be used to estimate the average wind velocity over a region in a certain period of time. Usually expressed in terms of the occurrence percentage, the wind velocity data are usually fitted using an empirical probability density function (Burton et. al., 2001; Patel, 1999). The two-parameter Weibull distribution has been widely *Corresponding author (Lutero C. de Lima). Tel/Fax: +55-85-31019904. E-mail addresses: lutero@pq.cnpq.br. 2012 Volume 3 No.1 International Transaction Journal of Engineering, Management, & Applied Sciences & Technologies. eISSN: 1906-9642. Online 5 Available at http://TuEngr.com/V03/1-19.pdf.
  • 6. used to model wind speed distributions (Escalante-Sandoval, 2008; Ettoumi et. al., 2003; Garcia-Bustamante et. al., 2008; Genc et. al., 2005; Justus et. al., 1976, Justus et. al., 1978; Tuller and Brett, 1984; Ucar and Balo, 2009; Vallee et. al., 2008). The Weibull probability density function gives the probability to find wind speeds between v and v + dv as k ⎛v⎞ k −1 ⎡ ⎛ v ⎞k ⎤ f ( v ) dv = ⎜ ⎟ exp ⎢ − ⎜ ⎟ ⎥ dv, (4) c⎝c⎠ ⎢ ⎝c⎠ ⎥ ⎣ ⎦ Where k and c are the shape and scale factors, respectively. The corresponding cumulative probability function is given by ⎡ v k⎤ F (v) = f (v ′ ) dv′ = 1 − exp ⎢ − ⎛ ⎞ ⎥ . v ∫ 0 ⎜ ⎟ (5) ⎢ ⎝c⎠ ⎥ ⎣ ⎦ The average wind speed can be evaluated by v = 0 v f (v)dv . ∞ ∫ (6) Using Equation (4) in (6), one can relate the average wind speed to the Weibull scale and form parameters by ⎛ 1⎞ v = c Γ ⎜1 + ⎟ , (7) ⎝ k⎠ Where Γ is the Gamma function. The standard deviation can be expressed in terms of theses parameters as ⎡ ⎛ 2⎞ ⎛ 1⎞ ⎤ 2 σ = c ⎢Γ ⎜1 + ⎟ − Γ ⎜1 + ⎟ ⎥ 2 2 (8) ⎢ ⎝ k⎠ ⎣ ⎝ k⎠ ⎥ ⎦ The wind data are typically measured over a one-year period and recorded as hourly 6 E. B. A. C. Cunha, J. B. V. Leal Junior, H. A. Carmona, L. C. de Lima and G. P. Almeida.
  • 7. averaged speed, which lead to a set of discrete values. The probability density function is obtained by fitting the data using a histogram. The measured data are divided into N intervals, or wind classes, centered on the speed values vi . Let the frequencies of data on each interval be fi , and the cumulative frequencies Fi . Then, by plotting the data with the transformations xi = ln vi , yi = ln ⎡ − ln (1 − Fi ) ⎤ , ⎣ ⎦ (9) One can determine the Weibull parameters by fitting with Equation (5) which transforms to a linear form y = a + bx with k = b and c = exp (−a/b). It is equally necessary to the evaluation of a wind energy project to know the wind direction and its variability. The importance of this knowledge relies on the fact that the wind turbines present optimal performance when they receive frontal winds. Modern turbines incorporate a system that rotates the structure of its hub in order to face frontally incident wind. The lower the variability of the wind direction, the greater will be the turbine performance. The preferential wind direction is also fundamental for the installation of a wind farm, since it will be used to minimize problems such as shadow or wakes from one turbine to another. All statistical treatment given to the wind speed can be also given to its direction. However, it is common practice to represent the frequency or probability of the wind direction in a polar (circular) graph of 360˚. On this graph 0˚ represents the North, 90˚ the East and so on. In general such graph is called Wind Rose. 3. Vertical profile of wind speed and the surface boundary layer  The wind near the terrestrial surface is subjected to shear stresses that attenuate its speed. Lower atmospheric layers in direct contact with the soil will experience reduction in its acceleration. As consequence the speed of higher layers will be attenuated resulting in a vertical speed profile. *Corresponding author (Lutero C. de Lima). Tel/Fax: +55-85-31019904. E-mail addresses: lutero@pq.cnpq.br. 2012 Volume 3 No.1 International Transaction Journal of Engineering, Management, & Applied Sciences & Technologies. eISSN: 1906-9642. Online 7 Available at http://TuEngr.com/V03/1-19.pdf.
  • 8. The farther an air layer is from the surface, the smaller it will be the effect of the shear stress. At the height of approximately 3 000 m, the terrestrial atmosphere is not affected by the shear stresses at the surface. The atmospheric layer in this height is called Planetary Boundary Layer (PBL). Inside the PBL there is a sub layer, which characterizes the region of interest to the evaluation of wind energy potential, which extends from the soil to the height of approximately 100 m. The region above the PBL is the free Atmosphere. Inside it, air flows without the direct influence from the terrestrial surface characterizing the geostrophic wind. However, in the Surface Boundary Layer (SBL) the wind intensity is highly influenced by the terrestrial surface and its variations with the altitude may be obtained by following the logarithmic equation v* ⎛ z ⎞ v ( z) = ln ⎜ ⎟ , (10) κ ⎝ z0 ⎠ Where v ( z ) is the average wind speed at the altitude z, v* is the friction velocity, κ is the von Karman constant and z0 is the rugosity length. Due to the difficulty in determining the friction velocity, since it depends on different factors such as soil rugosity, the wind speed and the atmospheric stability, Equation (10) is commonly used to find the wind speed in a certain height based on the knowledge of the average wind speed vR in a reference altitude zR ln z − ln z0 v ( z ) = vR . (11) ln zR − ln z0 4. Classification of Wind Energy Potential  In order to classify the wind resources of a region normally it is used the available annual average density of probability or the wind speed divided in categories called wind classes on which are attributed colors for subsequent elaboration of contour graphs. 8 E. B. A. C. Cunha, J. B. V. Leal Junior, H. A. Carmona, L. C. de Lima and G. P. Almeida.
  • 9. There is no standard related to wind classes. However, the classification of the National Renewable Energy Laboratory (NREL), USA, is used in many researches. The NREL classification is shown in Table 1. Table 1: Wind classes as function of average power density and wind speed measured at the heights of 10 m and 50 m above the soil surface. Source: NREL. DPM at 10 m v at 10 m DPM at 50 m v at 50 m Wind Class Description (W/m2) (m/s) (W/m2) (m/s) 1 0 - 100 0.0 - 4.4 0 - 200 0.0 - 5.6 Poor 2 100 - 150 4.4 - 5.1 200 - 300 5.6 - 6.4 Marginal 3 150 - 200 5.1 - 5.6 300 - 400 6.4 - 4.0 Satisfactory 4 200 - 250 5.6 - 6.0 400 - 500 7.0 - 7.5 Good 5 250 - 300 6.0 - 6.4 500 - 600 7.5 - 8.0 Excellent 6 300 - 400 6.4 - 7.0 600 - 800 8.0 - 8.8 Prominent 7 400 - 1000 7.0 - 9.4 800 - 2000 8.8 - 11.9 Splendid The power density is proportional to the third momentum of a distribution of wind speed and the air density. Therefore, there is not a unique relationship between the power density and the average wind speed, which comprehends the first momentum of the distribution. Using the distribution of Weibull for the wind speed and a standard specific mass for the air at the sea level (1.22 kg/m3) the average wind speed can be determined for each limit of classes of wind power. The decrease of the air specific mass with the altitude requires that the mean speed must be increased by 3% for each 1000 m of elevation for maintaining the same power density. 5. Methodology for the Evaluation of the Wind Energy Potential  The simplest way of evaluating the wind power potential of a region consists of effectuating measurements in the region of interest through a net of anemometers and sensors of wind direction. These measurements must be taken during a period of 3 to 5 years, to avoid the risk of considering one year particularly calm or windy. After that, the recorded data must be interpolated and extrapolated in time and space in order to have a general picture of the wind resources of the considered region. *Corresponding author (Lutero C. de Lima). Tel/Fax: +55-85-31019904. E-mail addresses: lutero@pq.cnpq.br. 2012 Volume 3 No.1 International Transaction Journal of Engineering, Management, & Applied Sciences & Technologies. eISSN: 1906-9642. Online 9 Available at http://TuEngr.com/V03/1-19.pdf.
  • 10. 6. Meteorological Data  For the present study the data recorded in two FUNCEME meteorological stations situated in the Ibiapaba Mountain in the Ceará state was used. One of the sites situates in the São Benedito district and the other in the Ubajara district. The meteorological stations are data collecting platforms from Campbell Scientific, model MO-034a, with a starting threshold of 0.4 m/s and an accuracy of ±0.11 m/s for measurements below 10.1 m/s. FUNCEME was responsible for their initial certification as it is for the periodic maintenance. Data recorded in the meteorological stations consist of hourly averaged measurement performed in 10 min time intervals. The measurements are made at 10 m height from the ground level. Validation tests are made at FUNCEME for verification of data errors and inconsistencies. For the present study one considered wind speed and direction measurements taken from the year 2004 to the year 2006, more than two years of total measurements. There are no other meteorological stations in region of the Ibiapaba Mountain. In Table 2 it is shown the geographical coordinates of the two stations used in this study. Table 2: Geographical coordinates of meteorological stations. Source: FUNCEME. District Longitude Latitude Altitude (m) São Benedito W 040˚ 54' 39.5" S 04˚ 01' 28.6" 901 Ubajara W 041˚ 07' 02.9" S 03˚ 51' 44.9" 847 7. Wind Power Potential  The monthly averaged wind speed for each station is plotted in Figure 2. It shows that during the first semester the average wind speeds are lower. This period correspond to the rainy season in the region. In the second semester the average winds are higher, which in its turn coincides with the drought period in the region. The same correlation between wind speed and rain seasons is found in other localities in the Ceará State (Camelo, 2007). 10 E. B. A. C. Cunha, J. B. V. Leal Junior, H. A. Carmona, L. C. de Lima and G. P. Almeida.
  • 11. Figure 2: Monthly average wind speed at the height of 10 m. Polar graphs of the wind direction frequency distribution for the same region are shown in Figure 3. Graphs are divided 16 parts in order to include cardinal points, collateral and sub collateral points in the wind rose. Sector 0° corresponds to the North and sector 90° corresponds to the East. Analysis of Figure 3 shows clearly that the main prevailing wind in the Ibiapaba mountain region is easterly, with low variability in the wind direction. In São Benedito practically 50% of the wind direction data is east, 32% of the wind direction is east-southeast. In the Ubajara district about 30% is east, with a little more variability to the north. This low variability in the wind direction is a good indication as discussed in Section 2.1. The histograms of the wind speed for the considered period are depicted in Figure 4. There is also a curve fitting made by the use of a probability density function. As stressed in Section 2.1, the best function for the evaluation of wind energy potential is the Weibull function, Equation (4), being characterized by two parameters: the shape factor k and the scale factor c. *Corresponding author (Lutero C. de Lima). Tel/Fax: +55-85-31019904. E-mail addresses: lutero@pq.cnpq.br. 2012 Volume 3 No.1 International Transaction Journal of Engineering, Management, & Applied Sciences & Technologies. eISSN: 1906-9642. Online 11 Available at http://TuEngr.com/V03/1-19.pdf.
  • 12. (a) (b) Figure 3: Frequency distribution (%) of wind direction for (a) São Benedito and (b) Ubajara at 10 m height. 12 E. B. A. C. Cunha, J. B. V. Leal Junior, H. A. Carmona, L. C. de Lima and G. P. Almeida.
  • 13. (a) (b) Figure 4: Frequency distribution (%) of wind speed for (a) São Benedito and (b) Ubajara, at 10 m height. *Corresponding author (Lutero C. de Lima). Tel/Fax: +55-85-31019904. E-mail addresses: lutero@pq.cnpq.br. 2012 Volume 3 No.1 International Transaction Journal of Engineering, Management, & Applied Sciences & Technologies. eISSN: 1906-9642. Online 13 Available at http://TuEngr.com/V03/1-19.pdf.
  • 14. The shape parameter k has inverse relationship with the standard deviation of the distribution. High values of k indicate low variability of wind related to its average intensity. The value for São Benedito is k = 2.94 and for Ubajara is k = 2.67. Considering two years as the period of time, one sees that in São Benedito the distribution is thinner and the wind speed less variable. Taking into account that wind in the Ceará state is seasonable, as seen in Figure 2, Figure 5 shows the annual variation of the parameter k permitting to observe the difference between the rainy and drought periods. Figure 5: Monthly variation of parameter k of the Weibull distribution. The scale factor in São Benedito is c = 5.00 m/s, while in Ubajara is c = 6.12 m/s. Since the scale factor directly relates with the average wind speed, it may be concluded by these results that in Ubajara the average wind speed is higher than in São Benedito. Figure 6 shows the annual variation of the parameter c showing again the difference between the two periods. Calculating the average speeds through the timely series from both stations one finds 4.46 m/s for São Benedito and 5.44 m/s for Ubajara, as can be observed in Figures 4(a) and 4(b). Subsequently the average power density was calculated using Equation (3) and the wind classification is presented in Table 3. For São Benedito, the wind class was found to be 1, and for Ubajara the wind class was 2. Although they are winds of lower classes, they are appropriate to attend the local necessity for electric energy, as it will be shown hereafter. 14 E. B. A. C. Cunha, J. B. V. Leal Junior, H. A. Carmona, L. C. de Lima and G. P. Almeida.
  • 15. Figure 6: Monthly variation of parameter c of the Weibull distribution. Table 3: Classification of wind energy potential of two sites of the Ibiapaba Mountain. District DPM at 10 m (W/m2) Wind Class Description São Benedito 69.3 1 Poor Ubajara 134.1 2 Marginal In order to estimate the annual production of electric energy in those sites a commercial wind turbine, with the nominal power of 2 MW will be considered. For the calculation of the produced electric energy in one determined year the following expression is used Eeletric = i =1 fi Pi t , ∑ n (12) Where fi is the wind speed frequency relative to the class i, Pi is the equivalent power obtained by the power curve of the turbine and t is the time interval between measurements, in this case 1 hour. It is interesting to note that the value of the power calculated by speed class includes the power coefficient as well its mechanical efficiency, aerodynamics and others *Corresponding author (Lutero C. de Lima). Tel/Fax: +55-85-31019904. E-mail addresses: lutero@pq.cnpq.br. 2012 Volume 3 No.1 International Transaction Journal of Engineering, Management, & Applied Sciences & Technologies. eISSN: 1906-9642. Online 15 Available at http://TuEngr.com/V03/1-19.pdf.
  • 16. specific factors. It is also used an equation in order to make the fitting of the power curve of the turbine in order to consider the difference between the air specific mass of the site and the air specific mass where the power curve is applied as follow 1/ 3 ⎛ ρ ⎞ veffective = v⎜ ⎟ , (13) ⎜ ρcp ⎟ ⎝ ⎠ Where v is the speed indicated in the power curve and calculated for the air specific mass ρcp while veffective is the speed corresponding to the power but considering the site air specific mass ρ . Considering that the speed measurements were not performed at the turbine’s rotor height, a logarithmic extrapolation have been made by the use of Equation (11) in the data in order to construct a new histogram of speed, now for the height of 70 m. Only after this procedure Equation (12) was used. By this way, during one year, it would be generated in São Benedito about 3.674 MWh for each turbine, while for example the consumption of electric energy in the region during the year 2004 (IPECE, 2005) was of about 16.322 MWh or in other words it would be necessary 5 turbines to match the demand in that year. The annual capacity factor for this generator in that location is about 21% being considered good when compared to 22% in average for Germany considered world reference in research about wind energy, manufacture of turbines and implantation of wind farms (Carvalho, 2004). In Ubajara only one turbine would generate 6.227 MWh and for the year 2004 the electric energy consumption was of about 14.460 MWh (IPECE, 2005) being therefore necessary only 3 turbines to attend the electricity demand. For this location the annual capacity factor was of 35.5% being considered excellent. In both cases, it was neglected turbines stops of maintenance, loss of energy by transmission and other losses that vary from case to case but which can reach about 10% of the calculated value. Analyzing the daily cycle of wind regime it was verified that the period of greater 16 E. B. A. C. Cunha, J. B. V. Leal Junior, H. A. Carmona, L. C. de Lima and G. P. Almeida.
  • 17. intensity occurs in the dawning and in the start of morning. This period does not coincide with the demand peak of electric energy in the region, which uses to be in the evening. So it would be recommended for such region that jointly with the wind farm it would be installed some system of storing electric energy, which on its turn would be reconverted to the electric energy during the peak demand. 8. Conclusions  It was demonstrated in this study that there are limitations in wind maps of the Ceará state when it is necessary to evaluate the wind energy potential of mountainous region as for example the Ibiapaba Mountain. It was also shown that similar regions in other countries have already installed wind farms being therefore necessary research, which can furnish better information about the wind resources of such regions in the Ceará state. It was also made an analysis of recorded measurements of two FUNCEME meteorological stations in the mountaintop of Ibiapaba, in São Benedito and Ubajara districts. It was revealed that there are wind resources available in that region and it would attend the local demand of electric energy or could complement the energy matrix of the Ceará state. It would be necessary 5 turbines of 2 MW of nominal power to attend the electric energy demand of São Benedito and 3 turbines of the same nominal power to attend the demand of Ubajara. However the analysis of daily wind cycle of such regions reveals that the period of greater intensity of wind occurs during the dawning and the start of morning and that therefore does not coincide with period of more demand of electric energy. So, it is recommended for such regions that jointly with the wind farms a system of energy storage be installed. 9. Acknowledgments  Authors would like to thank FUNCEME for providing data of the meteorological stations. They also thank the National Council for Scientific and Technological Development (CNPq) and the Ceará State Research Support Foundation (FUNCAP) for financial support. *Corresponding author (Lutero C. de Lima). Tel/Fax: +55-85-31019904. E-mail addresses: lutero@pq.cnpq.br. 2012 Volume 3 No.1 International Transaction Journal of Engineering, Management, & Applied Sciences & Technologies. eISSN: 1906-9642. Online 17 Available at http://TuEngr.com/V03/1-19.pdf.
  • 18. 10. References  Agência Nacional de Energia Elétrica - ANEEL. (2009). Capacidade de geração do Brasil. http://www.aneel.gov.br/aplicacoes/capacidadebrasil/capacidadebrasil.asp. Amarante, O. A. C., M. Brower, J. Zack and A. L. de Sá. (2001). Atlas do potencial eólico brasileiro. http://www.cresesb.cepel.br/publicacoes/atlas_eolico_brasil/atlas-web.htm. Burton, T., D. Sharpe, N. Jenkins and E. Bossani. (2001). Wind Energy Handbook. John Wiley & Sons. Camelo, H. N. (2007). Estudo numérico do vento Aracati para caracterização de seu potencial eólico. Master’s thesis, Universidade Estadual do Ceará, Fortaleza. Carvalho, P. C. M. (2004). Geração Eólica, 1st. Edition. UFC, Fortaleza. Escalante-Sandoval, C. (2008). Bivariate estimation of extreme wind speeds. Structural Safety, 30(6), 481-492. Ettoumi, F. Y., H. Sauvageot, and A. E. H. Adane. (2003). Statistical bivariate modelling of wind using first-order Markov chain and Weibull distribution. Renewable Energy, 28(11), 1787-1802. Garcia-Bustamante, E., J. F. Gonzalez-Rouco, P. A. Jimenez, J. Navarro, and J. P. Montavez. (2008). The influence of the Weibull assumption in monthly wind energy estimation. Wind Energy, 11(5), 483-502. Genc, A., M. Erisoglu, A. Pekgor, G. Oturanc, A. Hepbasli and K. Ulgen. (2005). Estimation of wind power potential using Weibull distribution. Energy Sources, 27(9), 809-822. Instituto de Pesquisa e Estratégia Econômica do Ceará - IPECE. (2005). Anuário Estatístico do Ceará 2005, Fortaleza. http://www2.ipece.ce.gov.br/publicacoes/Anuario_2005/index.htm. International Energy Agency - IEA. (2004). World Energy Outlook 2004, Paris. http://www.iea.org/weo/docs/weo2004/WEO2004.pdf. Justus, C. G., W. R. Hargraves, A. Mikhail and D. Graber. (1978). Methods for estimating wind speed frequency-distributions. Journal of Applied Meteorology, 17(3), 350-353. Justus, C. G., W. R. Hargraves and A. Yalcin. (1976). Nationwide assessment of potential output from wind-powered generators. Journal of Applied Meteorology, 15(7), 673- 678. Meneses Neto, J. L. Oliveira, A. A. Costa and S. S. Sombra. (2006). Impactos da circulação geral em casos de El-Niño e La-Niña no potencial eólico do Nordeste brasileiro. In: Anais Eletrônicos… Congresso Brasileiro de Meteorologia, SBMET, Rio de Janeiro. Palma, J. M. L. M., F. A. Castro, L. F. Ribeiro, A. H. Rodrigues and A. P. Pinto. (2008). Linear and nonlinear models in wind resource assessment and wind turbine micro- siting in complex terrain. Journal of Wind Engineering and Industrial Aerodynamics, 18 E. B. A. C. Cunha, J. B. V. Leal Junior, H. A. Carmona, L. C. de Lima and G. P. Almeida.
  • 19. 96(12), 2308-2326. Patel, M. R. (1999). Wind and Solar Power systems. CRC Press. Tuller, S. E. and A. C. Brett. (1984). The characteristics of wind velocity that favor the fitting of a Weibull distribution in wind-speed analysis. Journal of Climate and Applied Meteorology, 23(1), 124-134. Turnipseed, A. A., D. E. Anderson, S. Burns, P. D. Blanken and R. K. Monson. (2004). Airflows and turbulent flux measurements in mountainous terrain. Part 2: Mesoscale effects. Agricultural and Forest Meteorology, 125(3-4), 187-205. Ucar, A. and F. Balo. (2009). Investigation of wind characteristics and assessment of wind generation potentiality in Uludag-Bursa, Turkey. Applied Energy, 86(3), 333-339. Vallee, F., J. Lobry and O. Deblecker. (2008). System reliability assessment method for wind power integration. IEEE Transactions on Power Systems, 23(3), 1288-1297. Erick Batista de Alencar de Castro Cunha works with wind energy at Renova Energia, São Paulo. He obtained a Licence degree in Physics from Universidade Estadual do Ceará in 2002 and a Master of Science in Applied Physical Sciences from Universidade Estadual do Ceará in 2008. His current interests involve wind energy and meteorology. Dr.João Bosco Verçosa Leal Junior is currently Adjunct Professor at the Department of Physics at Universidade Estadual do Ceará, since 2002. He obtained Bachelor of Science, Master of Science and PhD degrees in Physics from Universidade Federal do Ceará in 1994, 1998 and 2003, respectively. His interests involve Physics and Geosciences, with emphasis in atmospheric physics, micrometeorology, climatology and statistical physics. Dr.Lutero Carmo de Lima graduated in Physics by the University of Santo Amaro, M.Sc. and Dr. Eng. in Mechanical Engineering by the Federal University of Santa Catarina and University of São Paulo, respectively. He is presently adjunct Professor at the State University of Ceará and basically works in fundamental problems of the thermal science, clean energy and instrumentation. Published more than 100 articles on referenced congresses and journals. He was awarded a Fulbright Fellow and inducted as Vice President of PHI BETA DELTA, Chapter Beta Theta, Honour Society for International Scholars, USA. Dr.Humberto de Andrade Carmona is an Adjunct Professor in the Program for Applied Physical Science at the Ceara State University working mainly with alternative energies, particularly with material science applied to problems involving thermal science and solar energy. He holds a PhD in Physics from the University of Nottingham, England, as well as MS and graduation from the Federal University of São Carlos, Brazil. He has vast experience with electronic transport in semiconductor devices, and computer modeling of materials. Dr.Gerson Paiva Almeida is an Adjunct Professor at the Department of Physics at Universidade Estadual do Ceará. He obtained Bachelor of Science, Master of Science and Doctor of Science degrees in Physics from Universidade Federal do Ceará in 1994, 1997 and 2001, respectively. He worked at Météo-France in Toulouse as a part of his doctoral course. His interests involve atmospheric physics, with emphasis in cloud physics, precipitation, turbulent transport and aerosols. Peer Review: This article has been internationally peer-reviewed and accepted for publication according to the guidelines given at the journal’s website. *Corresponding author (Lutero C. de Lima). Tel/Fax: +55-85-31019904. E-mail addresses: lutero@pq.cnpq.br. 2012 Volume 3 No.1 International Transaction Journal of Engineering, Management, & Applied Sciences & Technologies. eISSN: 1906-9642. Online 19 Available at http://TuEngr.com/V03/1-19.pdf.