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Experimental Investigation of Micro-Hydro Waterwheel Models to Determine Optimal Efficiency
Lie Jasa
1,2,a
, Ardyono Priyadi
1,b
, and Mauridhi Hery Purnomo
1,c
1
Instrumentation, Measurement, and Power Systems Identification Laboratory Electrical Engineering Department, Institut Teknologi Sepuluh Nopember, Surabaya – Indonesia
2
Electrical Engineering Department, Udayana University, Bali – Indonesia
a
liejasaunud.ac.id,
b
priyadiee.its.ac.id,
c
heryee.its.ac.id
Keywords: waterwheel, turbine, micro hydro, renewable energy. Abstract. The waterwheel is the main component in the energy conversion process of micro-hydro
power. The amount of energy converted by the waterwheel depends on its model, blade shape, location install, and nozzle position. An objective in this study is to identify the waterwheel
characteristics that yield optimal efficiency. Methodology this research is design, prototype, testing and collecting data from all three models prototype water wheel. Measurement data is taken from
the change in position angle-axis and angle-nozzle. The result of this study shows that the triangular model yielded the highest efficiency among propeller and curved. But the location where is micro
hydro installed strongly determines the model design of waterwheel to work optimally.
Introduction
Micro-hydro power is becoming increasingly popular because of its simple design, ease of operation, low cost, and relatively quick construction time [1]. Data surveys of micro-hydro power
plants in various locations have shown that each location operates under unique micro-hydro parameters [2]. Therefore, we proposed to determine the optimal waterwheel models most suited to
each installation location. One micro-hydro location may have a big water discharge but a low head, and another may have a very high head but a small water discharge [3]. Although we never found
an ideal site in Indonesia in which to build a micro-hydro plant [4], the effort to establish a new energy resource is a forward step for Indonesia, despite the likelihood of a relatively small micro-
hydro output capacity.
Potential micro-hydro sites usually overlap with existing irrigation channels, fish farms, or animal farms. These locations present difficulties for the planning of any micro-hydro power plant
construction [5]. In areas with a waterfall, the government has developed tourism activities such as rafting. Any plans for a micro-hydro power plant must avoid these types of areas. However, since
electricity is a vital resource for human life [6], the consideration of installing micro-hydro power plants that share water resources with other uses may become a possibility. Micro-hydro power
does not require a large dam or reservoir that flow water into a turbine. Conflicts of interest with channel irrigation and tourism will end if the government prioritizes the building of micro-hydro
power plants. When political conflicts are limited, micro-hydro power becomes an important solution for developing new sources of power generation in Indonesia. And the initial and social
investments are relatively small for micro-hydro power compared with large hydroelectric power plants.
According research by Maher [7], micro-hydro energy losses of approximately 30 occur in the penstock and turbine, and up to 20 in the generator. If the losses in the penstock and the turbine
could be eliminated, energy efficiency would increase significantly. This is the main objective of our study. We conducted experiments on three prototype turbine models on a laboratory scale [8].
Measurement data related to different nozzle positions and angles. After analyzing the data, we were able to determine the most favorable conditions for optimizing waterwheel efficiency. The
comparison results for each model assumed the most appropriate conditions for equal water flow
All rights reserved. No part of contents of this paper may be reproduced or transmitted in any form or by any means without the written permission of Trans Tech Publications, www.ttp.net. ID: 202.46.129.15-200515,01:43:59
and head. We compared the performance of the three models in this study after determining the parameters yielding the best performance for each model with regard to its location. Propeller blade
model had the advantage of being on a sloping site with a large water discharge. The triangle blade model excelled in locations with low head but only medium water discharge, and curve blade model
had a small water flow but a high head.
System Configuration
Schematics of the waterwheel models proposed in this study are shown in Fig. 1. The three models differ significantly in the shape of their blades, but the outer wheel diameter and width in
each of the models are the same. The three prototype models were first tested in the same location under the same conditions, with the objective being the assessment of the differences in their power
output generation. We made observations and measured the rotations of the wheel RPM, the amount of current I and voltage V of the generator, at every point of the nozzle position and angle
of direction. We used as a reference the nozzle position observed during wheel spin. When the wheels were not spinning we considered the position and angle of the nozzle to be outside the area of
interest.
a b
c
1 2
3 4
5 6
7 8
25
7,5 6,5
1 2
3 4
5 6
7 8
25
9 10
11 12
13 14
15 16
1 2
3 4
5 6
7 8
12,5
25 Cm
9
10 11
12 13
14 15
16
9 10
11 12
13 14
15 16
Fig.1. Schematic overview of the waterwheel models a.Propeller. b. Triangle. c. Curve
Propeller Blade Model. According to research by Denny [9], this micro-hydro turbine consists of an overshot waterwheel with a fin-shaped blade, as shown in Fig. 1a. Blades are installed around
the wheel in a total of 8 pieces. The turbine design is simple and easily constructed. This model’s output efficiency can be calculated as in Eq. 1, where φ is the angle between the blade and the rim
radius, R is the radius of the outside of the wheel, g is gravity, and v is the velocity of the water flow.
1 Each of the 8 blade pieces is straight. The blades are placed transversely in a parallel disk and
the outer end of the blades protrudes outside the circle of the wheel. The distance between the blades is determined by a 45° angle, or 360° divided by the number of blades. The radius of the
outer wheel is 25 cm, and the length of the base blade 12.5 cm. The width of the wheel is 10 cm. The area in which water is retained by the blade is shown in the shaded areas of Fig. 1a.
Triangle Blade Model. The second turbine model shown in Fig. 1b blade is triangular when viewed from the side. The turbine blade itself is a right-angled triangle in shape. For each blade
position, the hypotenuse of the right triangle is parallel to the diameter of the wheel. These blades are flanked by two parallel disks around the wheel. There is always an even number of blades to
maintain turbine wheel stability. Indirectly, the hypotenuse of the triangle determines the radius of
the inner disc. In accordance with the results in our previous study, the volume of water on each blade is shown in Fig. 2.
Fig.2. Distribution areas triangle blades The remaining blades are certainly empty. The total volume of water retained by the blades can
potentially be sufficient to turn the turbines. Triangle blade model is shown in Fig. 1b, where the number of blades totals 16. The radius of the outer disc is 25 cm, the blade height is 7.5 cm, and the
blade base is 6.5 cm. The width of the wheel is about 10 cm.
Curve Blade Model. The third turbine model is known as Bankis model [10],[11], and it differs significantly from models propeller and triangle. The turbine blades do not hold water at the edge of
the wheel, but push water out of the nozzle. This model is not suitable for use in locations where the water is not powerful enough to have driving force. The efficiency of this model is shown in Eq. 2,
where C is the nozzle coefficient; α
1
is the angle direction of the nozzle, and ψ is the coefficient of
the friction of the water at the nozzle.
2 Model curve, as shown in Fig. 1c, has 16 curved blades with a curvature angle of 15°, with the
blades placed on the edge of the wheel, the radius of the outer disk is 25 cm, and the radius of the inner disk is about 16 cm. The width of the wheels is 10 cm. Again, no water is retained on the
blades of this model. Experimental Procedure
We next conducted experimental tests on the prototype models. The configuration of the experiment module consisted of water tanks, universal pump, AC generator, fan belt, pulley, pillow,
axle and nozzle, as shown in Fig. 3. Water from the water storage tanks is sucked up by the pump and channeled to the nozzle. The nozzle is fastened to an iron rod, the base of which is located at
the center of the axle. Between the axle and the base of the nozzle, bearings are mounted to minimize friction during axle rotation. The stalk of the nozzle forms an angle of theta θ with the
vertical axis. The upper end of the shaft holding the mounted nozzle can be adjusted to a desired direction of the deviation angle alpha α.
Water wheel Pully
fan Belt Nozzle
Water Pump
Water Tank Shaft
Generator
a b
Fig.3. Configuration and prototype testing of the waterwheel models
Water flows through the pipes and out of the nozzle above the blades. The waterwheel turns because the water retained on the blades results in a weight imbalance between the blades on the
left and right sides of the shaft. The shaft is connected to the pulley which turns the generator’s fan belt. As long as the water flows, the generator will always turn the waterwheel. Water spilling from
the water wheel flows back into the water tank. As the water wheel spins, a tachometer measures the RPMs, and a multi-meter measures the magnitude of the current I and the voltage V. The
next step repeats this process but with a change in the theta θ and alpha α angles.
Results and Discussion
This experiment was carried out on each of the three models, and the data was analyzed and compared with respect to the RPMs, current, voltage, power output, and efficiency. Besides the
turbine components, all other experimental parameters were assumed to be equal in order to compare the models effectively.
RPM. Results of the RPM measurements comparison are shown in Fig. 4a. For turbine model propeller, when we reduce the angle of alpha α from 20° to 17° and the angle position of theta θ
is between 25°–45°, the waterwheel rotates at a lower RPM rate. This is because the water sprayed from the nozzle is not entirely accommodated to the blade and is also influenced by the position of
the blade.
5 10
15 20
25 30
35 40
45 80
90 100
110 120
130 140
150 160
170
Theta Degrees
RP M
Graph RPM
Model A Model B
Model C
5 10
15 20
25 30
35 40
45 0.16
0.18 0.2
0.22 0.24
ThetaDegrees A
m per
e
Graph Current
Model A Model B
Model C
a b Fig.4. Comparison of RPMs and Comparison of the current output for the three models
Turbine model B produces a significant increase in RPMs when the angle of theta θ is between 10°–35° and the angle of alpha α is 20°. The RPM value in model B peaked when the
angle of theta θ was equal to 35°. This arrangement results in turbine triangle model producing the highest RPMs, as compared with models propeller and curve. When the angle of theta θ ≥ 40°,
RPM values begin to decrease, indicating that the water sprayed from the nozzle is not spilling correctly onto the blades.
Power Output. The power output from the generator is calculated using the formula P = V x I, and with a constant load, the current and voltage can be obtained from the measurements. The current
output of the three models is shown in Fig. 4b, where the magnitude of the currents generated by the three models, with the angle of theta θ ranging from 0°–45° and being relatively stable, ranges
from 0.15 until 0.2 mA. The output of model curve is lower than those of models propeller and triangle. The voltage output is shown in
5 10
15 20
25 30
35 40
45 1
1.5 2
2.5 3
ThetaDegrees
Vo lt
Graph Voltage
Model A Model B
Model C
5 10
15 20
25 30
35 40
45 0.1
0.2 0.3
0.4 0.5
0.6 0.7
0.8
ThetaDegrees Wat
t
Graph Power
Model C Model B
Model A
a b Fig.5. Comparison of the voltage and power output of all three models
Fig. 5a, where we see that the voltage of model triangle is greater than that in models propeller and curve when the angle of theta θ is from 0°–10°. When angle of theta θ≥ 15° it can compensate
for the performance of the other two models. Model triangle achieves peak performance with respect to voltage and current when the angle of theta θ=35°, whereas model propeller’s power
output is the lowest in this position.
Model propeller’s power output would improve if the blade position was higher to accomodate the water flow. Model curve’s power output would be better if the blade sprayed by the water was
in an outer position of the turbine. The power output of all three models is shown in Fig. 5b.
Efficiency. To determine the efficiency values, we compared the power output P
out
= I x V with the power input values. We obtained the power input value from the flow of water turning the turbine,
where P
in
= Q x H x g x ρ = 1000 kg m
3
x 9.81 ms
2
x 0.00064 m
3
s x 0.5 m = 3.1392 watts. Fig. 6 shows the efficiency values for all three models, revealing the advantages and disadvantages of
each. Model propeller has the highest efficiency for values of theta θ between 0°–15°, with a η value of 14.60. Model triangle has highest efficiency when theta θ is between 35°- 40°, with a η
value of 20.32. And the highest efficiency for model curve, with a η value of about 15.23, occurred at an angle of theta θ of 30°.
Fig.6. Comparison of waterwheel efficiencies for all models
Summary
The efficiency measurements of the three models show that model propeller will be most efficient with a theta angle of 0°. Model triangle will be most efficient at a 35° angle of theta.
Model curve achieves its best efficiency at an angle of 30°. Assuming that water flow and water level are fixed, the efficiency becomes solely dependent on the shape of the blades. The highest
efficiency value, 20.32, was obtained by model triangle, due to the influence of the water and height parameters. While water flow is not in itself a major factor, the combination of water flow, head,
and nozzle angle is critical.
When a micro-hydro power location is available which has a large water discharge and a low head, then the use of the model propeller turbine is most appropriate to achieve better efficiencies
than models triangle and curve. In this case, the parameters that affect efficiency most is how well the water is accommodated by the blades and the flow rates.
With the model curve turbine, the water mass does not directly influence the efficiency. Its absolute efficiency is affected by the head of the water, which exerts a strong push on the blades,
and the nozzle angle. So the parameters that significantly affect the efficiency of this turbine are the water flow rate, water discharge, and head.
Acknowledgement
The authors convey their greatest gratitude to the Ministry of Culture and Education, Indonesia, which provided scholarships through the BPPDN program 2011–2013. And also the authors would
like to thank Enago www.enago.com for the English language review.
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