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DEVELOPMENT OF SAFE VERTICAL AXIS WIND TURBINE
FOR OVER SPEED ROTATION
Minoru Noda1, Fumiaki Nagao
2 and Akira Shinomiya
3
1 Associate Professor, Institute of Technology and Science, The University of Tokushima
2-1 Minami-Josanjima, Tokushima, Japan, [email protected] 2 Professor, Institute of Technology and Science, The University of Tokushima
2-1 Minami-Josanjima, Tokushima, Japan, [email protected] 3 Graduate student, Graduate school for Intelligent Structures and Mechanics Systems
Engineering, The University of Tokushima, 2-1 Minami-Josanjima, Tokushima, Japan
ABSTRACT
SW-VAWT (Straight Wing Vertical Axis Wind Turbine) generally includes an over speed rotation problem. To
inhibit this problem, a revolution speed of wind turbine is controlled by a mechanical break system or an
electric-magnetic break system. In this study, to inhibit the over speed rotation problem, a new SW-VAWT,
which can be controlled autonomously by changing the wing pitching angle under the action of the centrifugal
force, was developed through some wind tunnel tests and field tests. As the results of this study, it was found
that the aerodynamic autonomous control system of the developed wind turbine works very well and this system
will bring safer and cheaper wind turbine.
KEYWORDS: VERTICAL AXIS WIND TURBINE, AUTONOMOUS CONTROL SYSTEM, OVER SPEED ROTATION
Introduction
The concern for the earth environment rises and large-scale wind power plants
increase rapidly all over the world. Micro-scale wind turbines, such as propeller type wind
turbines and vertical axis wind turbines, also increase rapidly. There are two types of vertical
axis wind turbine, a drag type wind turbine and a lift type wind turbine. In this paper, the
latter type with straight wings is called as SW-VAWT (Straight Wing Vertical Axis Wind
Turbine). SW-VAWT can generate a strong torque with a high rotation speed so that it is
suitable for wind power generation. However it is well known that the control of SW-VAWT
is difficult because the methods to control VAWT are usually a mechanical break system by
friction or a magnetic break system by a generator load, and SW-VAWT has danger that it is
easy to fall into the over speed rotation state and to collapse its blade by the centrifugal force
under the worst condition of the breakdown of its control system. Therefore it is necessary to
secure safety to the over speed rotation problem of SW-VAWT before SW-VAWT spreads
widely.
In this study, a new SW-VAWT, which has never fault into the over speed rotation
state achived a very simple mechanism and can generate the electric power under strong wind
condition, was developed. To develop this SW-VAWT, the effect of the pitch angle of its
wing blade on the power generation efficiency was investigated by wind tunnel test, a model
of a new SW-VAWT installed a autonomous control system using the centrifugal force was
tested to measure the relation between the power generation efficiency and its rotation speed,
The Seventh Asia-Pacific Conference on Wind Engineering, November 8-12, 2009, Taipei, Taiwan
The Seventh Asia Pacific Conference on Wind Engineering
November 8-12, 2009, Taipei, Taiwan
and the field test of the prototype of SW-VAWT installed the autonomous control system was
carried out.
Effects of Pitching Angle of Wing on Wind Turbine Performance
Configuration of Wind Tunnel Test
The model of SW-VAWT with three wings is shown in Figure 1. The wing length, L,
and radius of the rotation orbit of the wing, R, were 0.9 m and 0.45 m, respectively.
The shapes of the wing were two types as shown in Figure 2. One was NACA0012 as
a symmetric shape, and the other was defined by mapping it as the centerline of NACA0012
is corresponding to the orbit of the wing. Both wing cord length, B, were 0.1125 m. Therefore,
the solidity ratio of the SW-VAWT, σ, was 0.12.
In this study, the characteristics of the SW-VAWT were investigated by the relation
between the power generation efficiency, Cp, and the tip speed ratio, β. Cp is given from the
torque, T (Nm), and the rotation speed, n (rpm), which are measured by a load cell set below
the DC servo motor driving the SW-VAWT model, as following formula.
RLU
nT
RLU
Tn
C p⋅
=
⋅
=3
3 3022
160
2
ρ
π
ρ
π (1)
where, ρ and U are the air density (kg/m3) and wind speed (m/s). β is given by n, R, and U as
follows.
U
nR
U
Rn
30
602
ππ
β == (2)
In this test, to change β, U was changed keeping n to 200 rpm. The pitching angle of
the wing, φ, which was defined as the angle between the centerline of the wing and the
tangent direction at the middle of the chord of the wing, was changed from –6° to +6°. The
positive φ means that the leading edge of the wing moves to the outside of the orbit of the
wing.
The model of SW-VAWT was tested by the wind tunnel whose test section was 1.5 m
wide and 1.5 m height.
R=0.45m
L=0.9m
Load cell
DC servo motor
Turbine
(a) plane view (b) front view
Figure 1: General Views of SW-VAWT Model for Wind Tunnel Tests
Development of Safe Vertical Axis Wind Turbine for Over Speed Rotation, November 8-12, 2009, Taipei, Taiwan
Result and Discussion
Figure 3 shows the relations between Cp and β measured with changing φ for each
wing shape. From the Figure 3 (a), Cp becomes the maximum value, that is about 30%, in β=3
or β=3.5, when φ=0°. However, when φ change to +2° or –2°, the maximum Cp decreased
greatly. Moreover, the maximum Cp did not appear and Cp was negative for all β during φ >
+2° or φ < -2°.
x/B
y/B
0.0 0.2 0.4 0.6 0.8 1.0-0.2
-0.1
0.0
0.1
0.2
(a) Type A (Symmetric shape)
x/B
y/B
0.0 0.2 0.4 0.6 0.8 1.0-0.2
-0.1
0.0
0.1
0.2
(b) Type B (Asymmetric shape)
Figure 2: Shapes of the Straight Wing of the SW-VAWT
Cp(%)φ(deg.)
-6-4-2 0+2+4+6
β0 1 2 3 4 5
-20
0
20
40
60
(a) Type A (Symmetric shape)
Cp(%)φ(deg.)
-6-4-2 0+2+4+6
β0 1 2 3 4 5
-20
0
20
40
60
(b) Type B (Asymmetric shape)
Figure 3: β-Cp Curve Changed by Pitching Angle of the Wing
Figure 3 (b) shows that Cp becomes the maximum value in β=3 or β=3.5 when φ=-2°
and φ=4°, and becomes the almost 0 or negative during φ= -6° or φ > 0°. These results indicate that Cp is very sensitive to changing φ in spite of the shape of
the wing, and it is easy to reduce the aerodynamic torque by changing the pitching angle of
the wing. It is clarified that it only has to change the pitching angle of the wing a little to
prevent the SW-VAWT from falling into the over speed rotation, when the rotation speed exceeds the upper limit.
Development of Autonomous Control System for Over Speed Rotation
Configuration of Wind Tunnel Test
In this study, the centrifugal force was used to change the pitching angle of the wing
when rotation speed of the SW-VAWT reached to the limit rotation speed. The developed
autonomous control system is shown in Figure 4.
This system consists of the main arm supporting the wing, the linkage system keeping
the same pitching angle for three wings, and coil springs to adjust the rotation speed
beginning to change the pitching angle of the wing by its tension. In this test, the tension of
Development of Safe Vertical Axis Wind Turbine for Over Speed Rotation, November 8-12, 2009, Taipei, Taiwan
the coil springs was adjusted for the pitching angle of the wing to begin to change at the
rotational speed of about 210 rpm.
To investigate the effect of this system on the performance of the SW-VAWT, β-Cp
curve was measured for some rotation speed conditions. The wind speed, U, was changed to
change the β for each constant n, 150 rpm, 200 rpm, 205 rpm, 210 rpm, 215 rpm and 220 rpm.
The initial pitching angle of the wing was set to 0° and –2° for Type-A wing and for Type-B
wing respectively. The size of the model of the SW-VAWT and the configuration of the wind
tunnel test were the same with those of the previous test for the fixed pitching angle of the
wing.
Result and Discussion
The β-Cp curves measured by this test were shown in Figure 5. Figure 5 (a) indicates
that β-Cp curves were almost the same with that of the case of the fixed pitching angle during
n < 205 rpm, and the maximum Cp began to reduce in n=210 rpm, and Cp completely changed
to negative for all region of β in n > 215 rpm.
In Figure 5 (b), it is found that β-Cp curves were also almost the same with that of the
fixed pitching angle during n < 205 rpm. In n=205 rpm, the Cp began to reduce. Moreover, Cp
became almost 0 or negative in n > 215 rpm.
As the results of these tests, it is clarified that the Cp begins to decrease rapidly when
the rotation speed of the SW-VAWT exceeds the limit value decided by the tension of the coil
springs, and the rotation speed reduces till the limit value surely and autonomously, regardless
of the shape of the wing.
Coil spring
Linked rod
Support arm
Stopper
Linked rod
Support arm
Figure 4: Turbine with the Developed Autonomous Control System
Cp(%)
β
n(rpm)150200205210215220
1 2 3 4 5-20
0
20
40
60
(a) Type A (Symmetric shape)
Cp(%)
β
n(rpm)150200205210215220
1 2 3 4 5-20
0
20
40
60
(b) Type B (Asymmetric shape)
Figure 5: β-Cp Curves for Each Rotation Speed (Turbine with Autonomous Control System)
Development of Safe Vertical Axis Wind Turbine for Over Speed Rotation, November 8-12, 2009, Taipei, Taiwan
Field Test of SW-VAWT installed Autonomous Control System for Over Speed Rotation
Field Test Configuration
To test the autonomous control system for the over speed rotation in natural wind, a
prototype of SW-VAWT installed this system was developed as shown in Figure 6. This
prototype had three wings whose shape was NACA0020. The wing length and the chord
length of the wing were 1.8 m and 0.3 m, respectively. The radius of this turbine was 1.5 m.
Therefore the solidity ratio of this turbine was 0.095. The main arms consisted of trussed
pipes. The linkage system for the autonomous control system was changed a little to secure
the space for the main shaft of this turbine as shown in Figure 7. The initial tension of coil
springs, F0, was set to 53 N (case 1), 174 N (case 2), 233 N (case 3), and about 620 N (case 4).
This prototype was set up in the rooftop in the building of 5 stories, whose height was about
18 m. Photo 1 shows the new SW-VAWT and the autonomous control system for the over
speed rotation.
Although this turbine was jointed to 2 kW coreless electric generator by φ30 mm
stainless pipe, this generator was not made to function to make the worst situation that the
uncontrolled SW-VAWT fault into the over speed rotation state, to test the autonomous
control system.
To investigate the relation between the tip speed ratio, β, and the power generation
efficiency, Cp, the installed electric generator was made to function with the PWM (Pulse
Width Modulation) power generation controller. The tension of the coil springs was set to
about 620 N (case 4) in this test.
450
450
1800
2900
Unit : mm
300
R 150
0
(a) Front view (b) Plane view
Figure 6: General Views of the Prototype of the New SW-VAWT
movableplate
movableplate
movableplate
linkedrodlinked
rod
linked rod
spring to adjustmax. rotation speed
spring toadjust max.rotation speed
spring to adjustmax. rotation speed
base plate
(a) Normal condition
center ofmovable plate
(b) Rotation speed saving condition
Figure 7: Autonomous Control System of the New SW-VAWT
Development of Safe Vertical Axis Wind Turbine for Over Speed Rotation, November 8-12, 2009, Taipei, Taiwan
(a) the new SW-VAWT
(b) Autonomous control system
Photo 1: Autonomous Control System of the New SW-VAWT
Result and Discussion
The results of the field test were shown in Figures 8, 9 and 10. Figure 8 (a) indicates
the relation between the maximum wind speed and the maximum rotation speed for 1-minute
period. From this figure, it is found that the upper limit of the rotation speed exists for each
case, and the upper limit of the rotation speed increases with the initial tension of springs.
Figure 8 (b) shows the relation between the initial tension of the coil springs and the upper
limit of the rotation speed. The solid line and the dashed line were fitting lines for the
instantaneous maximum values and for 1-minute mean values respectively. These curves were
given by following formula.
00limit FAn = (3)
where A0 is a coefficient decided by the mass of the linkage system and of the wings. Figure 8
(b) indicates that the upper limit of the rotation speed was decided by the centrifugal force
because the initial tension of the coil springs changes in proportion with squared rotation
speed.
Max. wind speed (m/s)
Max. rotation speed (rpm)
case 1case 2case 3case 4
0 5 10 15 20
50
100
150
200
(a) Max. wind speed v. s. Max. rotation speed
Initial tension of spring (N)
Lim
it rotation speed (rpm)
Instantaneous values1 min. mean values
0 50 100 150 200 250
20
40
60
80
100
(b) Initial tension v. s. Max. rotation speed
Figure 8: Relations among Rotation Speed, Initial Tension of Coil Springs and Wind Speed
Figure 9 shows the relation among the mean wind speed, the rotation speed and the
generated power in natural wind. Figure 9 (a) indicates the relation between 1-minute mean
wind speed and 1-minute rotation speed. The various relation between the wind speed and the
rotation speed because the observation period was very short and some rules of generator
Development of Safe Vertical Axis Wind Turbine for Over Speed Rotation, November 8-12, 2009, Taipei, Taiwan
control were examined. Moreover, the autonomous control system did not work because the
wind speed did not become so high during this observation. Therefore, there is not the upper
limit rotation speed.
Figure 9 (b) shows the relation between 1-minute mean wind speed and 1-minute
mean generated power. The many relations between the wind speed and the generated power
exsists because the some generation control rules was tested during the short observation
period. This figure indicates that the generation starts from the wind speed of 2 m/s or 3 m/s.
Figure 10 shows the relation between the tip speed ratio, β, and the wind power
efficiency, Cp, in natural wind. In this figure, the Cp became maximum, that is about 15% -
20%, in β=2.5 approximatery. This result indicates that the generation control rule should be
improved more.
0
20
40
60
80
100
120
0 1 2 3 4 5 6 7
n(r
pm
)
U(m/s)
Data
(a) Mean wind speed v. s. Rotation speed
0
10
20
30
40
50
60
70
0 1 2 3 4 5 6 7
W(W
)
U(m/s)
Data
(b) Mean wind speed v. s. Generated power
Figure 9: Relation among Rotation Speed, Generated Power and Wind Speed
0.00
0.05
0.10
0.15
0.20
0.25
0.30
0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
CP
β
Dataf(x)=−0.007276x4×(x−3.20)
Figure 10: Relation between β and Cp in Natural Wind
Conclusion
As the results of this study, a safe SW-VAWT for the over speed rotation was
developed. It is a very simple mechanism and easy to decide the upper limit of the rotation
speed, and not necessary to make the cut-out wind speed. Therefore, this SW-VAWT can
continue generating electric power under extremely strong wind. Moreover, it is able to set up
this SW-VAWT positively in an extremely windy site, such as the rooftop of tall buildings,
the top of mountains, the Polar Regions and so on.