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Engr. M Shuwa et al. Int. Journal of Engineering Research and Applications www.ijera.com
ISSN: 2248-9622, Vol. 6, Issue 2, (Part - 3) February 2016, pp.11-17
www.ijera.com 11|P a g e
Development and Performance Test of a Micro Horizontal Axis
Wind Turbine Blade
Engr. Muhammad Shuwa, Dr. Garba Mohammed Ngala Engr. Muhammad
Maina
Center for Entrepreneurial and Enterprise Development University of Maiduguri, Maiduguri, Nigeria.
Department of Mechanical Engineering University of Maiduguri, Maiduguri, Nigeria.
Center for Entrepreneurial and Enterprise Development University of Maiduguri, Maiduguri, Nigeria.
ABSTRACT
This study describes the development and experimental studies performed to investigate the performance of a
1.5 m long Horizontal Axis Wind Turbine blade on a 4meter tower using 8o
as an angle of attack. The blade was
design using the Blade Element Momentum Theory (BEM), blade parameters such as the chord length, angle of
attack, Tip Speed Ratio, Rotor diameter, Lift and Drag force were determined. The designed blade profile was
developed and tested on an open field at Maiduguri where the average wind speed is 3.89m/s, the result shows
that the maximum extractable power is 142.66 W at a wind relative velocity of 4.8m/s when the blade is at 8o
angle of attack and 3 x 106
Reynolds Number. However, measured power increase consistently with increased in
wind speed. Therefore the developed HAWT blade profile has shown the ability to perform thus, the blade is
expected to be a means of extracting and generating energy from wind which is a renewable, clean and locally
available source of energy in Maiduguri and its environs. The use of this energy source will reduce the large
dependence on non-renewable, expensive and environmentally unfriendly means of energy generation.
Keywords: BEM, Performance Test, Turbine Blade, Chord Length, Relative Angle
I. NOMENCLATURE
P - The Extractable Power from the wind
A - Swept Area of the Rotor
ρ - Air Density
v- Wind Relative Velocity
D- Rotor Diameter
r - Rotor Radius
C - Chord Length
Ω - Angular Velocity of the Rotor
Θ - Angle of Attack
ϕ - Wind Relative Angle
η - Efficiency of the Blade on the Wind Turbine
L- Blade Span
ṙ - Radial Length of the Blade Element
dṙ - Increase in Blade Span Length
T - Rotor Torque
σ - Solidity
λr - Tip Speed Ratio
Cp - The Power Coefficient
CL - Coefficient of Lift
CD - Coefficient of Drag
FL - Lift Force
FD - Drag Force
Re - Reynolds Number
F - Resultant Force
B - Number of Blades
PT - Power Developed by the Turbine
N - Speed of the Rotor
w - Uniformly Distributed Load
B.M. - Bending Moment
x - Specified Distance along the Blade Span
S.F- Shear Force
𝑣 𝑚𝑎𝑥 – Average Maximum Wind Speed
𝑣 𝑢𝑙𝑡𝑖 . – Ultimate Wind Speed
𝛾 𝐹 - Factor of Safety
𝐶𝑝𝑟𝑜𝑏 .- Probability of Collapse
𝑚 - Meter
𝑊 – Watts
𝑠 − Second
II. INTRODUCTION
Wind is among the most popular and
fastest‐growing forms of electricity generation in the
world, which is pollution free and available almost at
any time of the day, especially in the coastal and arid
regions like Borno State, Northeastern Nigeria (Ajao
and Adegan, 2009).
Wind potentials are harness with the use of wind
turbines; turbines are mechanical devices that use the
kinetic energy of the wind and convert it to
mechanical energy, this is then used to produce
electricity (Raja et al; 2006). There are two types of
wind turbines, horizontal and vertical axis wind
turbines. Horizontal Axis Wind Turbines (HAWT)
have their axis of rotation of their blades horizontal to
the ground and almost parallel to the wind stream,
while the Vertical Axis Wind Turbines (VAWT)
have the rotor shaft and blades vertically (Ngo and
Natiwitz, 2010). Most of the wind turbines fall under
RESEARCH ARTICLE OPEN ACCESS
Engr. M Shuwa et al. Int. Journal of Engineering Research and Applications www.ijera.com
ISSN: 2248-9622, Vol. 6, Issue 2, (Part - 3) February 2016, pp.11-17
www.ijera.com 12|P a g e
the category of Horizontal Axis Wind Turbines
because they have some distinct advantages such as
low cut-in wind speed and easy furling. In general,
they show relatively high power coefficient
(Rajakumar and Raviandran, 2010).
A Horizontal Axis Wind Turbine consists of four
main parts, i.e. the rotor, generator, gearbox and the
control system. The rotor consists of the blade, the
hub and the shaft, the blade is key element of wind
turbines which converts the kinetic energy of the
wind in to electricity through generators. In order to
extract the maximum kinetic energy from the wind,
the blade airfoil (geometry) should be effectively
design. An airfoil means a two dimensional cross-
section shape of a blade whose purpose is to either
generate lift or minimize drag when exposed to a
moving fluid (Chandrala et al; 2012). The rotor
(blades fixed on a hub) is driven by the wind and
rotates at predefined speed in terms of the wind
speed, the power produced by the generator depend
on the relative wind speed especially of the area
where the turbine is sited.
The blade geometry of this study is to be develop
for Maiduguri and environ, Maiduguri is located on
latitude 11o
51’N and longitude 13o
09’E Borno State
Northeastern Nigeria; the area is characterized by
somewhat lower elevations, level terrain, and sandy
soils with an estimated population of 1.5 million
people (CENSUS, 1995).
Investigation carried out on the prospect of wind
energy utilization reveal that an extractable power
from wind in Borno State northeastern Nigeria gives
a mean energy density of 42 kWh/m2
of electricity
with the mean wind speed at 10 meter height of about
3.89 m/s and probability of occurrence between 75%
to 80% in a year, these gives Maiduguri in Borno
State to be one of the highest prospects for wind
generated electricity in Nigeria (Ngala et al, 2004).
The aim of the study is to develop and carry out
performance test of a micro Horizontal Axis Wind
Turbine blade. Based on this goal, the study is set to
achieve the following objectives:
i. design the micro Horizontal Axis Wind Turbine
blade.
ii. physically develop the micro HorizontalAxis
Wind Turbine blade
iii. experimentally verify the design criteria by
testing the micro blade
III. THEORITICAL BACKGROUND
There are two important reasons why wind
turbine blades are able to spin in the wind: Newton’s
Third Law and the Bernoulli Effect:
i. Newton’s Third Law states that for every action,
there is an equal and opposite reaction. In the case of
a wind turbine blade, the action of the wind pushing
air against the blade causes the reaction of the blade
being deflected, or pushed. If the blade has no pitch
(or angle) the blade will simply be pushed backwards
(downwind). But since wind turbine blades are set at
an angle, the wind is deflected at an opposite angle,
pushing the blades away from the deflected wind
(Peter and Richard, 2012).
ii. The Bernoulli Effect tells us that faster moving air
has lower pressure. Wind turbine blades are shaped
so that the air molecules moving around the blade
travel faster on the downwind side of the blade than
those moving across the upwind side of the blade.
This shape, known as an airfoil, is like an uneven
teardrop. The downwind side of the blade has a large
curve, while the upwind side is relatively flat. Since
the air is moving faster on the curved, downwind side
of the blade, there is less pressure on this side of the
blade. This difference in pressure on the opposite
sides of the blade causes the blade to be “lifted”
towards the curve of the airfoil (Petal and Damania,
2013).
The design of a horizontal axis wind turbine
blade start first by knowing the amount of wind
energy the turbine blade can be able to extract from
the wind. The wind energy that can be extracted by a
wind turbine blade is given by half the air density, the
cross-sectional area of the rotor and the cube of the
free steam velocity as given in Equation 1 below. The
rotor diameter (D) is calculated from the same
equation at the rated wind power and wind speed
(Peter and Richard, 2012).
𝑃 =
1
2
𝜌𝐴𝑣3
(1)
Where: P is the wind energy extracted
𝜌is the air density (1.225 kg/m3
)
A is the swept area and is given by
𝜋𝐷2
4
𝑣is the air velocity
From equation (1) the rotor diameter D will be
𝐷 =
8𝑃
𝜋𝜌𝑣3
(2)
IV. METHODOLOGY
The method adopted for this study is to design a
Horizontal Axis Wind Turbine Blade using Blade
Element Momentum (BEM) Theory,Blade Element
Momentum (BEM) method is the oldest and remains
to be the most widely used method for predicting
wind turbine performance. It was originally
developed by Glauert H. a German aeronautical
engineer in 1935, who combined blade element
theory and momentum theory to analyze the airplane
propeller performance (Petal and Daminia, 2013).
Blade element theory assumes that blades can be
subdivided into multiple elements, which can act
independently as two-dimensional airfoils. The forces
and moments can be calculated separately then
summed to obtain the overall blade forces and
moments. Blade parameters which include chord
Engr. M Shuwa et al. Int. Journal of Engineering Research and Applications www.ijera.com
ISSN: 2248-9622, Vol. 6, Issue 2, (Part - 3) February 2016, pp.11-17
www.ijera.com 13|P a g e
length (C), rotor diameter (D), blade radial length
𝑟 , blade relative angle (𝜙), blade span (L), angle of
attack (θ), tip speed ratio (𝝀 𝒓), solidity (𝜍), lift force
(FL), drag force (FD), the power coefficient (CP),
turbine blade efficiency (𝜂), ( shear force (SF) and
bending moment (BM) as shown in Figure 1 below.
These are calculated from the following equations;
Figure 1. Blade Aerodynamic Parameters
The chord length (C) is the length from the
leading edge to the trailing edge of a blade cross
section that is parallel to the vertical axis of
symmetry(Chandrala, et al; 2012) and is given by
Equation 3 below and the wind relative angle (𝜙) is
given by Equation 4.
𝐶 =
8𝜋𝑟
𝐵𝐶 𝐿
1 − 𝑐𝑜𝑠𝜙 (3)
𝜙 =
2
3
𝑡𝑎𝑛−1 1
𝜆 𝑟
𝑟
𝑟
(4)
The tip speed ratio (𝝀 𝒓) is the ratio of the blade
tip speed over wind speed. It is a significant
parameter for wind turbine design (Han, 2011) and its
definition is shown in Equation 5 below. The blade
𝝀 𝒓 =
𝜔𝑟
𝑣
=
2𝜋𝑁𝑟
60𝑣
(5)
The angle of attack (𝜃) is the angle between the
incoming flow stream and the chord line of the
airfoil. At low angles of attack, the dimensionless lift
coefficient increases linearly with angle of attack and
drag is reasonably small. Flow is attached to the
airfoil throughout this regime. At an angle of attack
of roughly 100, the flow on the upper surface of the
airfoil begins to separate and a condition known as
stall begins to develop. The dimensionless lift
coefficient peaks and the dimensionless drag
coefficient increases as stall increases (Ajao and
Adegan, 2009). The angle of attack is given by
Equation 6 below.
𝜃 = 𝑡𝑎𝑛−1 2
3𝜆 𝑟
(6)
Solidity ratio (𝜍) is the ratio of the area occupied
by the blade to the available free space and is given
by Equation 7 below.
𝜍 =
𝐵 𝑥 𝐶
2𝜋𝑟
(7)
The ultimate wind speed (𝑣 𝑢𝑙𝑡𝑖 .) is the maximum
wind speed the blade is expected to withstand base on
the blade design and is given by Equation 8 below.
As well the probability of collapse (𝐶𝑝𝑟𝑜𝑏 .) that is the
probability that the blade can with stand such a wind
speed without failing considering 1.5 as factor of
safety is given by Equation 9 below.
𝑣 𝑢𝑙𝑡𝑖 . = 𝑣 𝑚𝑎𝑥 𝛾 𝐹 𝐶𝑝𝑟𝑜𝑏 . (8)
𝐶𝑝𝑟𝑜𝑏 . =
1 − 𝑘 𝑥𝐼𝑛 −𝐼𝑛 1 − 0.01
1 − 𝑘 𝑥𝐼𝑛 −𝐼𝑛 0.98
𝑛
9
The lift force (FL) given by Equation 10 above is
the force acting on the blade perpendicular to the
undisturbed wind flow and the drag force (FD) given
by Equation 11 below is the force acting on the blade
in the direction of the undisturbed wind flow.
𝐹𝐿 =
1
2
𝜌 𝑣2
𝐶 𝐿 𝐶𝐿 (10)
𝐹𝐷 =
1
2
𝜌 𝑣2
𝐶 𝐿 𝐶 𝐷 (11)
The shear force (SF) on the blade is given by
Equation 12, while the bending moment (BM) at a
distance x along the span of the blade is by Equation
13.
𝑆. 𝐹. = −𝑤𝑥 (12)
𝐵. 𝑀. = −
1
2
𝑤 𝐿 − 𝑟 2
(13)
The power coefficient is a measure of the
mechanical power delivered by the rotor to the
turbine’s low-speed shaft. It is defined as the ratio of
the mechanical power to the power available in the
wind (Ajao and Adegan, 2009) and is given by
Equation 14 below..
𝐶 𝑃 =
2𝑃 𝑇
𝜌𝜋 𝑣3 𝑟2 (14)
The turbine efficiency which largely depends on the
blade performance is given Equation 15 below.
𝜂 =
𝐶 𝑃 𝑥27
16
(15)
Engr. M Shuwa et al. Int. Journal of Engineering Research and Applications www.ijera.com
ISSN: 2248-9622, Vol. 6, Issue 2, (Part - 3) February 2016, pp.11-17
www.ijera.com 14|P a g e
4.1 Blade Material and Method of Construction
The blade was constructed using high
density wood for the skeletal, aluminum sheet for the
body and mild steel for the coupler; High density dry
wood which forms the core of the blade is to be cut to
1.5 meter (blade span) and 0.26 meter (chord length)
with a thickness of 0.05 meter. The wood is then to
be shaped to the required airfoil section based on the
design parameters and the brown shaded spaces
based on the dimension in Figure 2 below were cut-
off along the span of the blade, this is to reduce the
weight of the blade. The wooden skeletal is to be
treated with wood insecticide and coated with wood
sealant to reduce moisture absorption.
Figure 2 The Blade’s Dimensions
The skeletal will be further allowed to dry
and thereafter it is to be covered with 0.75
mmAluminium sheet, glue (Top-Bond Glue) will be
applied in-between the wooded skeletal and the
Aluminium sheet to bond the two together. One inch
nails will be used to further secure the sheet on the
wood. This will be done for each of the blade and
they will be weight to insure they are of the same
weight. Experimental trial of the constructed blade is
to be carried out to observe the performance of the
develop blade profile; the developed blades will be
bolted to a hub which is connected to an alternator
via a gearbox with a spur gear ratio of 1:8. The whole
unit will be bolted on a four meter steel tower at the
study site (University of Maiduguri). The
performance of the blades will be observed, this
includes their ability to extract the energy in the wind
and convert it to electric energy via the alternator.
Parameters to be measured are wind speed, voltage
generated and resistance developed to determine the
power output of the turbine.
V. RSULTS AND DISCUSSION
The blade design analysis gives the blade specification calculated are shown in Table 1 below.
Table 1. The Developed Blade Specifications as calculated.
S/No. PARAMETER SPECIFICATION
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
Chord Length (C)
Blade Span (L)
Rotor Diameter (D)
Swept Area (A)
Tip Speed Ratio (𝜆 𝑟)
Angle of Attack (θ)
Wind Relative Angle (𝜙)
* Coefficient of Lift (CL)
Lift Force (FL)
* Coefficient of Drag (CD)
Drag Force (FD)
Reynolds Number
Solidity Ratio (𝜍)
Power Coefficient (CP)
Turbine Theoretical Efficiency (𝜂)
Ultimate Wind Speed (vulti.)
Probability of Collapse (CProb.)
Shear Force (SF)
Bending Moment (BM) at x=0.5m
Extractable Power from the Wind (P)
0.26 m
1.5 m
3 m
7.55 m2
5
8o
48o
1.007
19.97N
0.0125
0.23N
3 x 106
0.08
0.189
32%
8.81m/s
1.04
16.30N
21.43Nm2
272.21 Watts
*Obtained from the Design Foil Workshop
Engr. M Shuwa et al. Int. Journal of Engineering Research and Applications www.ijera.com
ISSN: 2248-9622, Vol. 6, Issue 2, (Part - 3) February 2016, pp.11-17
www.ijera.com 15|P a g e
5.1 Experimentation
The designed blade is tested at the University of
Maiduguri campus in Maiduguri on a 4meter tower.
The rotor is connected to an alternator via a gearbox
with a ratio of 1:8 to determine the power generation
ability of the blade; the developed blade and its
assemblyon a 4 m tower are shown in Figure 3 and 4
respectively below.
Figure 3 The Developed Blade
Figure 4 The HAWT Blade on a 4 meter Tower at the site.
Air density for the experiment site is 1.225 kg/m3
(NIMA, 2015). A cup anemometer by FLUKE
Corporation USA Model 373is used to measure the
wind speed, atmospheric temperature and a Multi-
meter by FLUKE Corporation USA FLUKE Model
117 was used to measure the rectified voltage and
resistance. Parameters (Wind Speed, DC Voltage,
Resistance and Atmospheric Temperature) were
recorded at 15minutes interval between 8am and 5pm
each day. The direct current (DC) power output was
then calculated using theformulaP=
𝑉2
𝑅
. The
measured power outputs with the corresponding wind
speeds are shown in Table 2 and the curve in Figure 5
below.
Table 2 Wind Speed and Power Output from the Experiments
Wind Relative Velocity (v) in
m/s
Power Output put (P) in Watts [P=V2
/R] from the Experimentation
1.2
1.3
1.4
1.7
1.8
2.0
2.3
2.5
2.7
3.0
3.1
3.3
2.17
2.77
3.43
5.32
7.41
10.32
13.72
19.22
25.27
34.32
38.42
45.77
Engr. M Shuwa et al. Int. Journal of Engineering Research and Applications www.ijera.com
ISSN: 2248-9622, Vol. 6, Issue 2, (Part - 3) February 2016, pp.11-17
www.ijera.com 16|P a g e
3.4
3.5
3.6
3.9
4.0
4.2
4.4
4.5
4.8
50.49
54.88
59.45
76.23
81.60
95.09
107.25
116.85
140.85
Figure 5 Experimental Wind Speed and Power Output Curve
From the experimentation result it was observed
that the higher the wind speed the higher the power
output will be, if the wind speed is 1.2m/s, power
output will be 2.17W but as the wind speed increases
to 4.8m/s the power output will be 140.85W as
shown in Table 3 above. From the theoretical design
the extractable power from the wind at a wind speed
of 3.89 m/s is 272.21 W while at this wind speed
experimentally a power output of about 76.23 W was
recorded (Table 2), it shows that the blade was able
to extract 28% of the theoretical power. This is
because a physical limit exists to the quantity of
energy that can be extracted, which is independent of
design. The energy extraction is maintained in a flow
process through the reduction of kinetic energy and
subsequent velocity of the wind. The magnitude of
energy harnessed is a function of the reduction in air
speed over the turbine. 100% extraction would imply
zero final velocity and therefore zero flow. The zero
flow scenario cannot be achieved hence all the winds
kinetic energy may not be utilized. This principle is
widely accepted and indicates that wind turbine
efficiency cannot exceed 59.3% (Farooq and
Harmain, 2013). This parameter is commonly known
as the power coefficient Cp, where max Cp= 0.593
referred to as the Betz limit. The Betz theory assumes
constant linear velocity (Peter and Richard, 2012).
Therefore, any rotational forces such as
wake rotation, turbulence caused by drag or vortex
shedding (tip losses) will further reduce the
maximum efficiency. Efficiency losses are generally
reduced by:
i. Avoiding low tip speed ratios which increase
wake rotation
ii. Selecting aerofoils which have a high lift to drag
ratio
iii. Specialized tip geometries
VI. CONCLUSION
The Horizontal Axis Wind Turbine blade profile
has been designed, developed and tested. Experiment
carried out on the developed blade shows that at 8o
angle of attack, air density of 1.225kg/m3
and a
relative wind speed of 4.8m/s(the maximum wind
speed recorded) the blade generates a power output
of 140.85 W. However the experiment was carried
out for only ten hours of each day but if extended
especially through the night higher wind speed could
have been recorded which will reflect to higher
power output. Be that as it may the developed
HAWT blade profile has shown the ability to perform
and will really be a means of extracting and
generating energy from wind; a renewable, clean and
Engr. M Shuwa et al. Int. Journal of Engineering Research and Applications www.ijera.com
ISSN: 2248-9622, Vol. 6, Issue 2, (Part - 3) February 2016, pp.11-17
www.ijera.com 17|P a g e
locally available source of energy in Maiduguri and
environs.
REFRENCE
[1.] Ajao K. R., and Adegun I. K., (2009).
Development and Power Performance Test
of a Small three-bladed Horizontal-axis
Wind Turbine, Journal of American Science
Vol. 5 Pg. 71-78, Marsland Press Publishers
USA
[2.] Chandrala, M., Choubeg, A., and Gupta, B.,
(2012). Aerodynamic Analysis of Horizontal
Axis Wind Turbine Blade, International
Journal of Engineering Research and
Applications (IJERA). INDIA.
[3.] Farooq, A., and Harmain, G., (2013). Blade
Design and Performance Analysis of Wind
Turbine, International Journal of Chem.
Tech. Research Vol. 5, No. 2. USA
[4.] Han, C., (2011). Aerodynamics Analysis of
Small Horizontal Axis Wind Turbine Blades
by Using 2D and 3D CFD Modeling,
Unpublished M. Eng. Thesis submitted to
the University of the Central Lancashire,
UK.
[5.] Ngala, G., Liman, B. and Abdulrahim, A.
(2004). An Assessment of Wind Energy
Potential of Borno State Nigeria. Journal of
Life and Environment Science Vol.6 No. 1.
NIGERIA.
[6.] Ngo, C. and Natowitz, J. (2009).Resources,
Alternatives and the Environment, John
Wiley and Sons Inc. New Jersey. USA.
[7.] Patil, H. (2009). Experimental Work on
Horizontal axis PCV Turbine Blade of
Power Wind Mill, International Journal of
Mechanical Engineering Vol. 2 Issue 2.
Vadodara, INDIA.
[8.] Petal, H. and Daminia, S.
(2013).Performance Prediction of Horizontal
Axis Wind Turbine Blade, International
Journal of Innovative Research in Science,
Engineering and Technology Vol. 2, Issue 5,
May 2013, Gujarat, INDIA.
[9.] Peter, S. and Richard, C. (2012). Wind
Turbine Blade Design, Energies Publishers,
UK.
[10.] Raja, A., Srivastava, A. and Dwivedi, M.
(2006). Non-conventional Energy Resource
and Utilization, Power Plant Engineering,
New Age Int. Publishers. New Delhi.
INDIA.
[11.] Rajakumar, S. and Ravindran, D., (2010).
Computational Fluid Dynamics of Wind
Turbine Blade At Various Angles Of Attack
and Low Reynolds Number, International
Journal of Engineering Science and
Technology Vol. 2(11), Tamilnadu, INDIA.

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Development and Performance Test of a Micro Horizontal Axis Wind Turbine Blade

  • 1. Engr. M Shuwa et al. Int. Journal of Engineering Research and Applications www.ijera.com ISSN: 2248-9622, Vol. 6, Issue 2, (Part - 3) February 2016, pp.11-17 www.ijera.com 11|P a g e Development and Performance Test of a Micro Horizontal Axis Wind Turbine Blade Engr. Muhammad Shuwa, Dr. Garba Mohammed Ngala Engr. Muhammad Maina Center for Entrepreneurial and Enterprise Development University of Maiduguri, Maiduguri, Nigeria. Department of Mechanical Engineering University of Maiduguri, Maiduguri, Nigeria. Center for Entrepreneurial and Enterprise Development University of Maiduguri, Maiduguri, Nigeria. ABSTRACT This study describes the development and experimental studies performed to investigate the performance of a 1.5 m long Horizontal Axis Wind Turbine blade on a 4meter tower using 8o as an angle of attack. The blade was design using the Blade Element Momentum Theory (BEM), blade parameters such as the chord length, angle of attack, Tip Speed Ratio, Rotor diameter, Lift and Drag force were determined. The designed blade profile was developed and tested on an open field at Maiduguri where the average wind speed is 3.89m/s, the result shows that the maximum extractable power is 142.66 W at a wind relative velocity of 4.8m/s when the blade is at 8o angle of attack and 3 x 106 Reynolds Number. However, measured power increase consistently with increased in wind speed. Therefore the developed HAWT blade profile has shown the ability to perform thus, the blade is expected to be a means of extracting and generating energy from wind which is a renewable, clean and locally available source of energy in Maiduguri and its environs. The use of this energy source will reduce the large dependence on non-renewable, expensive and environmentally unfriendly means of energy generation. Keywords: BEM, Performance Test, Turbine Blade, Chord Length, Relative Angle I. NOMENCLATURE P - The Extractable Power from the wind A - Swept Area of the Rotor ρ - Air Density v- Wind Relative Velocity D- Rotor Diameter r - Rotor Radius C - Chord Length Ω - Angular Velocity of the Rotor Θ - Angle of Attack ϕ - Wind Relative Angle η - Efficiency of the Blade on the Wind Turbine L- Blade Span ṙ - Radial Length of the Blade Element dṙ - Increase in Blade Span Length T - Rotor Torque σ - Solidity λr - Tip Speed Ratio Cp - The Power Coefficient CL - Coefficient of Lift CD - Coefficient of Drag FL - Lift Force FD - Drag Force Re - Reynolds Number F - Resultant Force B - Number of Blades PT - Power Developed by the Turbine N - Speed of the Rotor w - Uniformly Distributed Load B.M. - Bending Moment x - Specified Distance along the Blade Span S.F- Shear Force 𝑣 𝑚𝑎𝑥 – Average Maximum Wind Speed 𝑣 𝑢𝑙𝑡𝑖 . – Ultimate Wind Speed 𝛾 𝐹 - Factor of Safety 𝐶𝑝𝑟𝑜𝑏 .- Probability of Collapse 𝑚 - Meter 𝑊 – Watts 𝑠 − Second II. INTRODUCTION Wind is among the most popular and fastest‐growing forms of electricity generation in the world, which is pollution free and available almost at any time of the day, especially in the coastal and arid regions like Borno State, Northeastern Nigeria (Ajao and Adegan, 2009). Wind potentials are harness with the use of wind turbines; turbines are mechanical devices that use the kinetic energy of the wind and convert it to mechanical energy, this is then used to produce electricity (Raja et al; 2006). There are two types of wind turbines, horizontal and vertical axis wind turbines. Horizontal Axis Wind Turbines (HAWT) have their axis of rotation of their blades horizontal to the ground and almost parallel to the wind stream, while the Vertical Axis Wind Turbines (VAWT) have the rotor shaft and blades vertically (Ngo and Natiwitz, 2010). Most of the wind turbines fall under RESEARCH ARTICLE OPEN ACCESS
  • 2. Engr. M Shuwa et al. Int. Journal of Engineering Research and Applications www.ijera.com ISSN: 2248-9622, Vol. 6, Issue 2, (Part - 3) February 2016, pp.11-17 www.ijera.com 12|P a g e the category of Horizontal Axis Wind Turbines because they have some distinct advantages such as low cut-in wind speed and easy furling. In general, they show relatively high power coefficient (Rajakumar and Raviandran, 2010). A Horizontal Axis Wind Turbine consists of four main parts, i.e. the rotor, generator, gearbox and the control system. The rotor consists of the blade, the hub and the shaft, the blade is key element of wind turbines which converts the kinetic energy of the wind in to electricity through generators. In order to extract the maximum kinetic energy from the wind, the blade airfoil (geometry) should be effectively design. An airfoil means a two dimensional cross- section shape of a blade whose purpose is to either generate lift or minimize drag when exposed to a moving fluid (Chandrala et al; 2012). The rotor (blades fixed on a hub) is driven by the wind and rotates at predefined speed in terms of the wind speed, the power produced by the generator depend on the relative wind speed especially of the area where the turbine is sited. The blade geometry of this study is to be develop for Maiduguri and environ, Maiduguri is located on latitude 11o 51’N and longitude 13o 09’E Borno State Northeastern Nigeria; the area is characterized by somewhat lower elevations, level terrain, and sandy soils with an estimated population of 1.5 million people (CENSUS, 1995). Investigation carried out on the prospect of wind energy utilization reveal that an extractable power from wind in Borno State northeastern Nigeria gives a mean energy density of 42 kWh/m2 of electricity with the mean wind speed at 10 meter height of about 3.89 m/s and probability of occurrence between 75% to 80% in a year, these gives Maiduguri in Borno State to be one of the highest prospects for wind generated electricity in Nigeria (Ngala et al, 2004). The aim of the study is to develop and carry out performance test of a micro Horizontal Axis Wind Turbine blade. Based on this goal, the study is set to achieve the following objectives: i. design the micro Horizontal Axis Wind Turbine blade. ii. physically develop the micro HorizontalAxis Wind Turbine blade iii. experimentally verify the design criteria by testing the micro blade III. THEORITICAL BACKGROUND There are two important reasons why wind turbine blades are able to spin in the wind: Newton’s Third Law and the Bernoulli Effect: i. Newton’s Third Law states that for every action, there is an equal and opposite reaction. In the case of a wind turbine blade, the action of the wind pushing air against the blade causes the reaction of the blade being deflected, or pushed. If the blade has no pitch (or angle) the blade will simply be pushed backwards (downwind). But since wind turbine blades are set at an angle, the wind is deflected at an opposite angle, pushing the blades away from the deflected wind (Peter and Richard, 2012). ii. The Bernoulli Effect tells us that faster moving air has lower pressure. Wind turbine blades are shaped so that the air molecules moving around the blade travel faster on the downwind side of the blade than those moving across the upwind side of the blade. This shape, known as an airfoil, is like an uneven teardrop. The downwind side of the blade has a large curve, while the upwind side is relatively flat. Since the air is moving faster on the curved, downwind side of the blade, there is less pressure on this side of the blade. This difference in pressure on the opposite sides of the blade causes the blade to be “lifted” towards the curve of the airfoil (Petal and Damania, 2013). The design of a horizontal axis wind turbine blade start first by knowing the amount of wind energy the turbine blade can be able to extract from the wind. The wind energy that can be extracted by a wind turbine blade is given by half the air density, the cross-sectional area of the rotor and the cube of the free steam velocity as given in Equation 1 below. The rotor diameter (D) is calculated from the same equation at the rated wind power and wind speed (Peter and Richard, 2012). 𝑃 = 1 2 𝜌𝐴𝑣3 (1) Where: P is the wind energy extracted 𝜌is the air density (1.225 kg/m3 ) A is the swept area and is given by 𝜋𝐷2 4 𝑣is the air velocity From equation (1) the rotor diameter D will be 𝐷 = 8𝑃 𝜋𝜌𝑣3 (2) IV. METHODOLOGY The method adopted for this study is to design a Horizontal Axis Wind Turbine Blade using Blade Element Momentum (BEM) Theory,Blade Element Momentum (BEM) method is the oldest and remains to be the most widely used method for predicting wind turbine performance. It was originally developed by Glauert H. a German aeronautical engineer in 1935, who combined blade element theory and momentum theory to analyze the airplane propeller performance (Petal and Daminia, 2013). Blade element theory assumes that blades can be subdivided into multiple elements, which can act independently as two-dimensional airfoils. The forces and moments can be calculated separately then summed to obtain the overall blade forces and moments. Blade parameters which include chord
  • 3. Engr. M Shuwa et al. Int. Journal of Engineering Research and Applications www.ijera.com ISSN: 2248-9622, Vol. 6, Issue 2, (Part - 3) February 2016, pp.11-17 www.ijera.com 13|P a g e length (C), rotor diameter (D), blade radial length 𝑟 , blade relative angle (𝜙), blade span (L), angle of attack (θ), tip speed ratio (𝝀 𝒓), solidity (𝜍), lift force (FL), drag force (FD), the power coefficient (CP), turbine blade efficiency (𝜂), ( shear force (SF) and bending moment (BM) as shown in Figure 1 below. These are calculated from the following equations; Figure 1. Blade Aerodynamic Parameters The chord length (C) is the length from the leading edge to the trailing edge of a blade cross section that is parallel to the vertical axis of symmetry(Chandrala, et al; 2012) and is given by Equation 3 below and the wind relative angle (𝜙) is given by Equation 4. 𝐶 = 8𝜋𝑟 𝐵𝐶 𝐿 1 − 𝑐𝑜𝑠𝜙 (3) 𝜙 = 2 3 𝑡𝑎𝑛−1 1 𝜆 𝑟 𝑟 𝑟 (4) The tip speed ratio (𝝀 𝒓) is the ratio of the blade tip speed over wind speed. It is a significant parameter for wind turbine design (Han, 2011) and its definition is shown in Equation 5 below. The blade 𝝀 𝒓 = 𝜔𝑟 𝑣 = 2𝜋𝑁𝑟 60𝑣 (5) The angle of attack (𝜃) is the angle between the incoming flow stream and the chord line of the airfoil. At low angles of attack, the dimensionless lift coefficient increases linearly with angle of attack and drag is reasonably small. Flow is attached to the airfoil throughout this regime. At an angle of attack of roughly 100, the flow on the upper surface of the airfoil begins to separate and a condition known as stall begins to develop. The dimensionless lift coefficient peaks and the dimensionless drag coefficient increases as stall increases (Ajao and Adegan, 2009). The angle of attack is given by Equation 6 below. 𝜃 = 𝑡𝑎𝑛−1 2 3𝜆 𝑟 (6) Solidity ratio (𝜍) is the ratio of the area occupied by the blade to the available free space and is given by Equation 7 below. 𝜍 = 𝐵 𝑥 𝐶 2𝜋𝑟 (7) The ultimate wind speed (𝑣 𝑢𝑙𝑡𝑖 .) is the maximum wind speed the blade is expected to withstand base on the blade design and is given by Equation 8 below. As well the probability of collapse (𝐶𝑝𝑟𝑜𝑏 .) that is the probability that the blade can with stand such a wind speed without failing considering 1.5 as factor of safety is given by Equation 9 below. 𝑣 𝑢𝑙𝑡𝑖 . = 𝑣 𝑚𝑎𝑥 𝛾 𝐹 𝐶𝑝𝑟𝑜𝑏 . (8) 𝐶𝑝𝑟𝑜𝑏 . = 1 − 𝑘 𝑥𝐼𝑛 −𝐼𝑛 1 − 0.01 1 − 𝑘 𝑥𝐼𝑛 −𝐼𝑛 0.98 𝑛 9 The lift force (FL) given by Equation 10 above is the force acting on the blade perpendicular to the undisturbed wind flow and the drag force (FD) given by Equation 11 below is the force acting on the blade in the direction of the undisturbed wind flow. 𝐹𝐿 = 1 2 𝜌 𝑣2 𝐶 𝐿 𝐶𝐿 (10) 𝐹𝐷 = 1 2 𝜌 𝑣2 𝐶 𝐿 𝐶 𝐷 (11) The shear force (SF) on the blade is given by Equation 12, while the bending moment (BM) at a distance x along the span of the blade is by Equation 13. 𝑆. 𝐹. = −𝑤𝑥 (12) 𝐵. 𝑀. = − 1 2 𝑤 𝐿 − 𝑟 2 (13) The power coefficient is a measure of the mechanical power delivered by the rotor to the turbine’s low-speed shaft. It is defined as the ratio of the mechanical power to the power available in the wind (Ajao and Adegan, 2009) and is given by Equation 14 below.. 𝐶 𝑃 = 2𝑃 𝑇 𝜌𝜋 𝑣3 𝑟2 (14) The turbine efficiency which largely depends on the blade performance is given Equation 15 below. 𝜂 = 𝐶 𝑃 𝑥27 16 (15)
  • 4. Engr. M Shuwa et al. Int. Journal of Engineering Research and Applications www.ijera.com ISSN: 2248-9622, Vol. 6, Issue 2, (Part - 3) February 2016, pp.11-17 www.ijera.com 14|P a g e 4.1 Blade Material and Method of Construction The blade was constructed using high density wood for the skeletal, aluminum sheet for the body and mild steel for the coupler; High density dry wood which forms the core of the blade is to be cut to 1.5 meter (blade span) and 0.26 meter (chord length) with a thickness of 0.05 meter. The wood is then to be shaped to the required airfoil section based on the design parameters and the brown shaded spaces based on the dimension in Figure 2 below were cut- off along the span of the blade, this is to reduce the weight of the blade. The wooden skeletal is to be treated with wood insecticide and coated with wood sealant to reduce moisture absorption. Figure 2 The Blade’s Dimensions The skeletal will be further allowed to dry and thereafter it is to be covered with 0.75 mmAluminium sheet, glue (Top-Bond Glue) will be applied in-between the wooded skeletal and the Aluminium sheet to bond the two together. One inch nails will be used to further secure the sheet on the wood. This will be done for each of the blade and they will be weight to insure they are of the same weight. Experimental trial of the constructed blade is to be carried out to observe the performance of the develop blade profile; the developed blades will be bolted to a hub which is connected to an alternator via a gearbox with a spur gear ratio of 1:8. The whole unit will be bolted on a four meter steel tower at the study site (University of Maiduguri). The performance of the blades will be observed, this includes their ability to extract the energy in the wind and convert it to electric energy via the alternator. Parameters to be measured are wind speed, voltage generated and resistance developed to determine the power output of the turbine. V. RSULTS AND DISCUSSION The blade design analysis gives the blade specification calculated are shown in Table 1 below. Table 1. The Developed Blade Specifications as calculated. S/No. PARAMETER SPECIFICATION 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Chord Length (C) Blade Span (L) Rotor Diameter (D) Swept Area (A) Tip Speed Ratio (𝜆 𝑟) Angle of Attack (θ) Wind Relative Angle (𝜙) * Coefficient of Lift (CL) Lift Force (FL) * Coefficient of Drag (CD) Drag Force (FD) Reynolds Number Solidity Ratio (𝜍) Power Coefficient (CP) Turbine Theoretical Efficiency (𝜂) Ultimate Wind Speed (vulti.) Probability of Collapse (CProb.) Shear Force (SF) Bending Moment (BM) at x=0.5m Extractable Power from the Wind (P) 0.26 m 1.5 m 3 m 7.55 m2 5 8o 48o 1.007 19.97N 0.0125 0.23N 3 x 106 0.08 0.189 32% 8.81m/s 1.04 16.30N 21.43Nm2 272.21 Watts *Obtained from the Design Foil Workshop
  • 5. Engr. M Shuwa et al. Int. Journal of Engineering Research and Applications www.ijera.com ISSN: 2248-9622, Vol. 6, Issue 2, (Part - 3) February 2016, pp.11-17 www.ijera.com 15|P a g e 5.1 Experimentation The designed blade is tested at the University of Maiduguri campus in Maiduguri on a 4meter tower. The rotor is connected to an alternator via a gearbox with a ratio of 1:8 to determine the power generation ability of the blade; the developed blade and its assemblyon a 4 m tower are shown in Figure 3 and 4 respectively below. Figure 3 The Developed Blade Figure 4 The HAWT Blade on a 4 meter Tower at the site. Air density for the experiment site is 1.225 kg/m3 (NIMA, 2015). A cup anemometer by FLUKE Corporation USA Model 373is used to measure the wind speed, atmospheric temperature and a Multi- meter by FLUKE Corporation USA FLUKE Model 117 was used to measure the rectified voltage and resistance. Parameters (Wind Speed, DC Voltage, Resistance and Atmospheric Temperature) were recorded at 15minutes interval between 8am and 5pm each day. The direct current (DC) power output was then calculated using theformulaP= 𝑉2 𝑅 . The measured power outputs with the corresponding wind speeds are shown in Table 2 and the curve in Figure 5 below. Table 2 Wind Speed and Power Output from the Experiments Wind Relative Velocity (v) in m/s Power Output put (P) in Watts [P=V2 /R] from the Experimentation 1.2 1.3 1.4 1.7 1.8 2.0 2.3 2.5 2.7 3.0 3.1 3.3 2.17 2.77 3.43 5.32 7.41 10.32 13.72 19.22 25.27 34.32 38.42 45.77
  • 6. Engr. M Shuwa et al. Int. Journal of Engineering Research and Applications www.ijera.com ISSN: 2248-9622, Vol. 6, Issue 2, (Part - 3) February 2016, pp.11-17 www.ijera.com 16|P a g e 3.4 3.5 3.6 3.9 4.0 4.2 4.4 4.5 4.8 50.49 54.88 59.45 76.23 81.60 95.09 107.25 116.85 140.85 Figure 5 Experimental Wind Speed and Power Output Curve From the experimentation result it was observed that the higher the wind speed the higher the power output will be, if the wind speed is 1.2m/s, power output will be 2.17W but as the wind speed increases to 4.8m/s the power output will be 140.85W as shown in Table 3 above. From the theoretical design the extractable power from the wind at a wind speed of 3.89 m/s is 272.21 W while at this wind speed experimentally a power output of about 76.23 W was recorded (Table 2), it shows that the blade was able to extract 28% of the theoretical power. This is because a physical limit exists to the quantity of energy that can be extracted, which is independent of design. The energy extraction is maintained in a flow process through the reduction of kinetic energy and subsequent velocity of the wind. The magnitude of energy harnessed is a function of the reduction in air speed over the turbine. 100% extraction would imply zero final velocity and therefore zero flow. The zero flow scenario cannot be achieved hence all the winds kinetic energy may not be utilized. This principle is widely accepted and indicates that wind turbine efficiency cannot exceed 59.3% (Farooq and Harmain, 2013). This parameter is commonly known as the power coefficient Cp, where max Cp= 0.593 referred to as the Betz limit. The Betz theory assumes constant linear velocity (Peter and Richard, 2012). Therefore, any rotational forces such as wake rotation, turbulence caused by drag or vortex shedding (tip losses) will further reduce the maximum efficiency. Efficiency losses are generally reduced by: i. Avoiding low tip speed ratios which increase wake rotation ii. Selecting aerofoils which have a high lift to drag ratio iii. Specialized tip geometries VI. CONCLUSION The Horizontal Axis Wind Turbine blade profile has been designed, developed and tested. Experiment carried out on the developed blade shows that at 8o angle of attack, air density of 1.225kg/m3 and a relative wind speed of 4.8m/s(the maximum wind speed recorded) the blade generates a power output of 140.85 W. However the experiment was carried out for only ten hours of each day but if extended especially through the night higher wind speed could have been recorded which will reflect to higher power output. Be that as it may the developed HAWT blade profile has shown the ability to perform and will really be a means of extracting and generating energy from wind; a renewable, clean and
  • 7. Engr. M Shuwa et al. Int. Journal of Engineering Research and Applications www.ijera.com ISSN: 2248-9622, Vol. 6, Issue 2, (Part - 3) February 2016, pp.11-17 www.ijera.com 17|P a g e locally available source of energy in Maiduguri and environs. REFRENCE [1.] Ajao K. R., and Adegun I. K., (2009). Development and Power Performance Test of a Small three-bladed Horizontal-axis Wind Turbine, Journal of American Science Vol. 5 Pg. 71-78, Marsland Press Publishers USA [2.] Chandrala, M., Choubeg, A., and Gupta, B., (2012). Aerodynamic Analysis of Horizontal Axis Wind Turbine Blade, International Journal of Engineering Research and Applications (IJERA). INDIA. [3.] Farooq, A., and Harmain, G., (2013). Blade Design and Performance Analysis of Wind Turbine, International Journal of Chem. Tech. Research Vol. 5, No. 2. USA [4.] Han, C., (2011). Aerodynamics Analysis of Small Horizontal Axis Wind Turbine Blades by Using 2D and 3D CFD Modeling, Unpublished M. Eng. Thesis submitted to the University of the Central Lancashire, UK. [5.] Ngala, G., Liman, B. and Abdulrahim, A. (2004). An Assessment of Wind Energy Potential of Borno State Nigeria. Journal of Life and Environment Science Vol.6 No. 1. NIGERIA. [6.] Ngo, C. and Natowitz, J. (2009).Resources, Alternatives and the Environment, John Wiley and Sons Inc. New Jersey. USA. [7.] Patil, H. (2009). Experimental Work on Horizontal axis PCV Turbine Blade of Power Wind Mill, International Journal of Mechanical Engineering Vol. 2 Issue 2. Vadodara, INDIA. [8.] Petal, H. and Daminia, S. (2013).Performance Prediction of Horizontal Axis Wind Turbine Blade, International Journal of Innovative Research in Science, Engineering and Technology Vol. 2, Issue 5, May 2013, Gujarat, INDIA. [9.] Peter, S. and Richard, C. (2012). Wind Turbine Blade Design, Energies Publishers, UK. [10.] Raja, A., Srivastava, A. and Dwivedi, M. (2006). Non-conventional Energy Resource and Utilization, Power Plant Engineering, New Age Int. Publishers. New Delhi. INDIA. [11.] Rajakumar, S. and Ravindran, D., (2010). Computational Fluid Dynamics of Wind Turbine Blade At Various Angles Of Attack and Low Reynolds Number, International Journal of Engineering Science and Technology Vol. 2(11), Tamilnadu, INDIA.