In present paper, we show some results in fabrication and experiment of the electrical
generator for sea wave energy. The device works in the vertical direction of sea waves, its
generator part is fixed on the bottom of the sea in order to overcome the impact of sea storms as
it operates at the sea. The output power of the device is generated up to 300 W and operates
stably at 200 W during experiment at the sea. In the framework of experimental study of our
fabricated device, the received average performance of the DC-AC inverter from 12 VDC
voltage to 220 VAC voltage is about 84.295 %. The output voltage is received at 220 VAC
frequency 50 Hz and is pure sine wave. In the general case, the performance value of the
electrical generator will be investigated in the next works with the real input sea wave signals.
From our experiment results, we realize that the fabrication model is reasonable and
efficient. For the obtained electrical power of device, the electrical generator for sea wave
energy can be used for the signal buoy of the seaway and can supply the electrical power for the
lighthouse. Moreover, at the top of buoy of device has a signal lamp and a 30 W solar panel. The
solar panel is also extra energy source to assure that the signal lamp always operates for the time
at which the sea is calm. The experiment results have also been used for analyzing the model
structure in order to improve the device, and for enhancing power of the electrical generator to
meet the needs of the electrical energy at island sea regions.
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Vietnam Journal of Science and Technology 55 (6) (2017) 780-792
DOI: 10.15625/2525-2518/55/6/9116
FABRICATION AND EXPERIMENT OF AN ELECTRICAL
GENERATOR FOR SEA WAVE ENERGY
Nguyen Van Hai*, Nguyen Dong Anh, Nguyen Nhu Hieu
Institute of Mechanics, Vietnam Academy of Science and Technology
264 Doi Can Str., Ba Dinh Dist., Ha Noi
*Email: nguyenvanhai1977@gmail.com
Received: 30 December 2016; Accepted for publication 5 September 2017
Abstract. This paper presents some results of fabrication and experiment of an electrical
generator for sea wave energy. The electrical generator device is fixed on the bottom of the sea
and works in the vertical direction of sea waves. The experiment results show that, for the
received voltage and current, the power of the electrical generator is up to 300 W and operates
stably at about 200 W during experiment at sea. The output voltage is at 220 VAC frequency 50
Hz and is a pure sine wave.
Keywords: renewable energy, sea wave energy, electrical generator.
1. INTRODUCTION
According to calculations by scientists, the received energy from fossil fuels will become
gradually exhausted, and now therefore looking for new energy sources is requisite. For
Vietnam, the 2020 target is to become a country in which marine economics will constitute
over 50 % of GDP. Therefore, the energy demand supplying for general economics and
particular marine economics is very important. The research and fabrication of electrical
generators for sea wave energy are necessary. Moreover, the electrical energy received from
sea wave energy conversion is friendly to environment, almost endless and is a clean energy
source. The sea wave energy is an important energy source of the world as well as Vietnam in
the future.
In this paper, we present some results of designing, fabrication and experiment of the
electrical generator at the sea with the output voltage being 220 VAC frequency 50 Hz and being
pure sine wave. The electrical generator can be used for signal buoys of seaway and can supply
the electrical power for lighthouses.
2. ANALYSIS OF THE DEVICE MODEL
In the world, the research and fabrication of the electrical generators for sea wave energy
source have been considered for a long time. The received electrical energy source for wave
energy conversion has met some demands of society. Up to now, the electrical generators from
sea wave energy have been investigated and fabricated in many countries, for example,
Nguyen Van Hai, Nguyen Dong Anh, Nguyen Nhu Hieu
781
Australia, Britain, China, Denmark, Ireland, Italy, Japan, Portugal, Spain, Sweden, South
Korea, the United States [1]. The devices models are categorized into two major kinds, the
device fixed on the bottom of the sea and the floating device on the sea [1 - 14].
The electrical generator devices fixed on the bottom of the sea usually use the linear
generators. In Ref. [2], the device is connected with a buoy on the sea surface by a rope
moving in vertical direction under the action of sea waves. The power of this device is about
10 kW. In Ref. [3], Stelzer and Joshi have evaluated buoy heave responses for a wave energy
generator based on a linear model. The authors calculated the buoy motion to determine the
coupled hydrodynamic and electromagnetic coefficients of the electrical power generator for
both regular and irregular waves. In a monograph by Eriksson [5], the author has developed a
model of a wave energy converter using linear potential wave theory in order to describe the
wave-buoy interaction and effects of modeling parameters on device system dynamics. A
significant topic on the optimization of wave energy converter is presented by Cargo et al. [6].
That work is devoted to the investigation of technology of generic point-absorber converter for
irregular waves using a hydraulic power take-off unit of wave energy converter. Another
detailed research on the optimization of sea wave energy harvesting electromagnetic device is
carried out by Marco Trapanese [7]. He studied optimal characteristics of a permanent magnet
linear generator using a mathematical model of system including the stochastic features of the
model. An approach to the conversion of the power generated by a sea wave power generator
integrated in an offshore wind power farm has been proposed by Franzitta et al. [8]. The
authors compared two possible ways to connect the generator to the network and to the
offshore wind power farm based on a conversion subsystem and a DC-AC converter,
respectively. In Ref. [9] by Engstrom et al., a wave energy converter with enhanced amplitude
responses is studied based on a theoretical model for passive systems having optimum
amplitude response at frequencies coinciding with Swedish west coast conditions. A
comprehensive review on the linear generator and related modern devices can be seen in Ref.
[10]. In this review Ekstrom et al. have categorized, described and compared different
generators for wave energy converters based on technologies of electrical damping circuits
and techniques of power output optimization.
The electrical generator devices floating on the sea surface consist of the two main types,
a vertical-floating type and a horizontal-floating type. The vertical floating electrical generator
device consists of an oscillating upper part (the floater) and a bottom-fixed lower part (the
basement) with the fixed installed linear generator. The floater is pushed down under a wave
crest and moves up under a wave trough. This motion makes the generator work to generate
the power about 10÷80 kW [1, 4, 11-14]. The horizontal floating device can be illustrated here,
such as a pelamis device that it looks like a snack. The structure of pelamis composes of four
cylindrical sections linked by hinged joints, and aligned with the wave direction. The wave-
induced motion of these joints is resisted by hydraulic rams, which pump high-pressure oil
through hydraulic motors driving three industrial electrical generators. The power of this
device is about 750 kW [1, 4, 14].
In Vietnam, several research institutions have fabricated electrical generators for sea
wave energy. At Hanoi University of Science and Technology, and the National Research
Institute of Mechanical Engineering, the researchers have calculated device models with
industrial generating motors installed on fixed frame structures, and the buoy of device floating
on the sea surface. The hydraulic diver system will transmit the obtained sea wave energy from
the buoy to the generating motor [15]. At Vietnam National University, the researchers have
Fabrication and experiment of an electrical generator for sea wave energy
782
fabricated linear electrical generators that operate and float on the sea surface in vertical
direction. The initial experimental output voltage on load is received about 1 V [16, 17].
To minimize the influence of sea storms on the device operating at sea, we build an
electrical generator model with the generator part fixed on the bottom of the sea with the small
and medium power (see Fig. 1). The device works in the vertical direction, and the buoy of
device floats on the sea surface. When sea waves act on the buoy, it will transfer the sea wave
energy to the generating motor through a rope in the vertical direction and a rotational
mechanical structure system [18]. In this study, we use a type of industrial generating motor and
a voltage stabilizer with high performance (see Fig. 4 a,b), and fabricate a block DC-AC inverter
to generate the output voltage at 220 VAC frequency 50 Hz and pure sine wave. The electrical
generator model poses an advantage in that it may be not affected by waves and sea storms
impacts because the generator part is fixed on the seabed.
3. MODELLING OF THE ELECTRICAL GENERATOR
The electrical generator device is fabricated for converting sea wave energy into electrical
energy. This requires a system that can convert the vertical slow motion of buoy to a high speed
rotating motion at the input of generating motor. The main structures of device include circular
cylinder-shaped buoy, rope, piston-rack, gearbox, generating motor, block of 12 VDC voltage
stabilizer, DC-AC inverter and protection system with the generating voltage being 220 VAC
frequency 50 Hz and pure sine wave, as shown in Fig. 1.
Figure 1. Schematic illustration of an electrical generator for sea wave energy.
The governing equation of buoy associated with piston-rack, as shown in Fig. 1, can be
written as follows [7, 8]:
),0()(2
2
zgzskdt
gdz
mggzszbgSdt
gzd
m −−−−−= γρ
(1)
where m is total mass of the buoy and the piston-rack, zg= zg(t) is the vertical coordinate
describing the position of the buoy at time t; ρ is the water density, g is the acceleration gravity,
Sb is the bottom area of the buoy, zs is the vertical coordinate describing the sea level from the
Nguyen Van Hai, Nguyen Dong Anh, Nguyen Nhu Hieu
783
seabed; the damping constant γ is the sum of the fluid damping (γf) and the electrical generator
damping (γeg), i.e. γ=γf+γeg; ks is the spring constant, z0 is the rest position.
The Eq. (1) will be solved to find optimal parameters in order use for designing and
fabrication of the device. For simplicity, the sea wave can be modeled as a harmonic fluctuation
about the rest position z0
,0)sin( ztHsz += ω (2)
where H and ω are the wave amplitude and frequency, respectively. Substituting Eq. (2) into
Eq. (1) and then solving for zg, we obtain
),sin( 000 ϕωχρ
ρ
++
+
+−
= t
gSk
zgSmgzk
z
bs
bs
g (3)
where the amplitude χ and phase constant φ0 are determined as follows
,
)( 2222 ωγωρ
ρχ
+−+
=
mgSk
HgS
bs
b
(4)
.tan 20 ωρ
γωϕ
mgSk bs −+
−= (5)
The average of power Pgm extracted from the wave by the converter in a period is given by
[2]:
,
1
0
2
∫=
T
geggm dtzT
P ɺγ (6)
in which the damping coefficient of fluid, γf, is assumed to be very small in comparison with the
electrical generator damping γeg [19], and can be neglected. The output electrical power P
received from an electrical generator is determined as follows:
,gmPP η= (7)
where η is a power performance value of the electrical generator. It is seen that the amplitude χ
can be considered as a function of the frequencyω , i.e. )(ωχχ = , therefore the electrical power
P is also a function of the frequency ω .
The power simulation results for the present device are shown in Fig. 2 with parameters ρ =
1020 kg/m3, g = 9.81 m/s2, m = 30 kg, Sb = 0.5024 m2, ks = 2100 N/m, z0 = 5.5 m, and γeg = 3400
Ns/m. Fig. 2 portrays the power curves depending on the frequency of sea wave with various
values of the wave amplitude, H1 = 0.4 m, H2 = 0.5 m, H3 = 0.6 m, and H4 = 0.7 m.
0 10 20 30 40 50 60 70
0
500
1000
1500
2000
Frequency (rad/s)
Po
w
e
r
(W
)
H=0.4 m
H=0.5 m
H=0.6 m
H=0.7 m
Figure 2. Power of the output electrical generator versus frequency.
Fabrication and experiment of an electrical generator for sea wave energy
784
For the linear model of the buoy motion (Eq.1), it is seen that the obtained power will be
extended in all range of frequency if the wave amplitude increases. In the sea experimental test
of device, the sea wave amplitude value is estimated at about 0.4m÷0.5m; the sea wave
frequency arises primarily at 1.472 rad/s (see Fig. 6). The range of received power belongs to
interval 199W÷311W. At various frequencies, the corresponding power values of the electrical
generator are received as shown in Fig. 2.
4. FABRICATION OF THE ELECTRICAL GENERATOR
4.1. Structural design
The structure of device is designed in two parts: the buoy of device floating on the surface
of sea which is designed in the circular cylinder shape and the generator part fixed on the bottom
of the sea. Mechanical structures and a generating motor are installed inside the casing of
circular cylinder-shaped device, as shown in Fig. 3. The main parameters of the electrical
generator are presented in Table 1. The buoy of device is connected to a piston shaft of the
electrical generator by a rope.
a. The electrical generator b. Inner of the electrical generator
Figure 3. Main structural components of the electrical generator.
The buoy and the casing of device are fabricated from stainless steel sheets with 3mm in
depth. The piston-rack, pinion and inner mechanical structures are also fabricated from stainless
steels.
Table 1. The main parameters of the electrical generator.
Parameters Value Parameters Value
Buoy radius (mm) 400 Piston length (mm) 400
Buoy height (mm) 420 Rack length (mm) 450
Device casing height (mm) 750 Pinion diameter (mm) 60
Device casing diameter (mm) 500 Gearbox ratio 1:30
4.2. Generating motor and voltage stabilization
In this model, we use a generating motor that it is the AC three-phase type permanent
magnet motor, and the 12 VDC voltage stabilizer with the input voltage received from AC three-
phase voltage of the generating motor. These equipments were imported from American
WindBlue Power Company (see Fig. 4) [20].
Nguyen Van Hai, Nguyen Dong Anh, Nguyen Nhu Hieu
785
Figure 4. The generating motor and 12 VDC voltage stabilizer.
The power of generating motor can grow to 1500 W (see Fig. 4c). The output voltage from
the 12 VDC voltage stabilizer is connected to the input of DC-AC inverter to generate the
voltage at 220 VAC frequency 50 Hz and in a pure sine wave form.
4.3. DC-AC inverter and protection system
The main structures of DC-AC inverter and protection system (as shown in Fig. 5) include
DC-DC converter circuit block, oscillating circuit block, DC-AC converter and protection circuit
block, and filter circuit block [21, 22]. The main function blocks in the scheme are described as
follows:
- The DC-DC converter circuit block: the function of this circuit block is to convert a low
voltage 12 VDC to high voltage 330 VDC with the maximum input current up to 180 A. In this
circuit block, we use 5 ferrite transformers of 400 W-type power, transistor couples of type IRF
1404 (such as Q1&Q2, Q3&Q4, Q5&Q6, Q7&Q8, Q9&Q10), and an oscillating circuit
generating an alternating current at frequency 33 kHz using the IC TL494C. The input and
output values of ferrite transformer are calculated and designed based on input 12 VDC voltage
and output 330 VDC voltage. After calculation, the input and output parameters of ferrite
transformer are given in Table 2. Three geometric parameters of the size 15 mm × 15 mm × 50 mm
are obtained (i.e. width × length × high, respectively).
Table 2. Input and output parameters of the ferrite transformer.
Parameters Value Parameters Value
Primary turns (turns) 4 Secondary turns (turns) 110
Maximum primary current (A) 36 Maximum secondary current (A) 1.3
Primary wire diameter (mm) 3 Secondary wire diameter (mm) 0.58
- The oscillating circuit block: we use the PIC16F716 which generates two antiphase AC signals
at frequency 50 Hz. Two antiphase signals will be connected to two H-bridges hafts for voltage
multiplexing at the DC-AC converter.
a. The generating motor b. The 12VDC voltage stabilizer
c. The voltage and current
characteristics versus rotation speed
of the generating motor
Fabrication and experiment of an electrical generator for sea wave energy
786
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Figure 5. Schematic illustration of DC-AC inverter and protection system.
- The DC-AC converter and protection circuit block:
The DC-AC converter circuit block is designed using the IGBT 40N60A, the first H-bridge
half (including ICs named Q11, Q12, Q13, Q14) and the second H-bridge half (including ICs
named Q15, Q16, Q17, Q18). The output AC voltage obtained from full H-bridge is transmitted
through a filter circuit block in order to filter all distortions of voltage.
The protection circuit is designed using the microchip PIC 16LC74/FP to control the
operation of system based on conditions of the overload, overheating, high and low voltages. If
one of which occurs, the protection circuit will shut-down and turn off the electrical generator in
order to protect the system.
- The filter circuit block: this block uses the LC filter to process all voltage distortions. The LC
filter is designed based on the output voltage of DC-AC converter and minimum reactive power
of the filter. The output voltage is received at 220 VAC frequency 50 Hz and is pure sine wave.
The LC filter must satisfy the following condition [23]:
Nguyen Van Hai, Nguyen Dong Anh, Nguyen Nhu Hieu
787
,
12
ff
c CL
=ω (8)
where ωc is the corner frequency of filter, Lf is the filter inductance, Cf is the filter capacitance.
The inductance value Lf can be determined by:
,
2 0If
DV
L
S
out
f ∆
= (9)
where D is constant, Vout is the output voltage, fs is the switching frequency, ∆I0 is the output
current ripple. By combining Eqs. (8) and (9), we get the filter inductance value at 4.1 mH and
the filter capacitance value at 330 µF.
4.4. Operational description of device system
Sea waves are random in nature and can be considered as a combination of an infinite
number of waves with different frequencies and amplitudes. The change of sea waves in
frequency and amplitude will affect to the operation of device system [6, 24]. When sea waves
act on the buoy, it will transfer the energy of sea waves to the generator part fixed on the bottom
of the sea by rope in the vertical direction (see Fig. 1). Both of piston-rack and the gearbox are
used to convert the received vertical slow motion of buoy to the high speed rotating motion with
the ratio 1:30. The obtained output voltage of the generating motor is not stable because the
characteristics of voltage and current depend on the rotation speed of the motor (see Fig. 4c). In
our device system, the 12 VDC voltage stabilizer is an important part to stabilize and control the
output voltage of the generating motor at 12 VDC (see Fig. 4b) [8, 11]. The DC-AC inverter is
used to convert the voltage 12 VDC into the voltage 220 VAC frequency 50 Hz and pure sine
wave. The voltage 220 VAC frequency 50 Hz is also the output voltage of the electrical
generator. The performance of device is partly considered in the next section from our
experimental calculation and measurement.
5. EXPERIMENT RESULTS
The electrical generator device for sea wave energy has operated for a long time in the Hon
Dau sea, Hai Phong province, Viet Nam. At the experiment site, the sea wave amplitude is about
0.4÷0.5 m. This wave amplitude range is received from the Hon Dau Hydro-Meteorological
Monitoring Station. The sea wave frequency is about 1.472 rad/s (see Fig. 6), it is obtained from
DASIM measurement equipment with Futek pressure sensor of America mounted on the buoy
hull.
2 4 6 8 10 12
0
0.1
0.2
0.3
0.4
X: 1.472
Y: 0.3143
Frequency (rad/s)
Pr
e
ss
u
re
(P
SI
)
Figure 6. The sea wave pressure exerting on the buoy.
a. The sea wave pressure versus time b. Pressure spectrum of sea wave
Fabrication and experiment of an electrical generator for sea wave energy
788
In Fig. 6, the received average pressure value is about 0.31 psi (i.e. 0.021 atm in SI unit)
and maximum value is 0.74 psi (i.e. 0.05 atm). The obtained pressure value information will be
used for the purpose of fabrication of buoy and device casing.
The output voltage received is efficient with power up to 300 W. In this experiment, we use
equipments to measure and analyze voltage and current as Picoscope USB oscilloscope 2204A
of England, Gwinstek digital clamp meter of Taiwan, Kyoritsu digital clamp meter of Japan,
voltage meter Sanwa CD800a of Japan, voltage meter Klein tools MM2000 of America. The
measurement results received from the electrical generator during experiment at Hon Dau sea
are given in Table 3. The DC-AC inverter - protection system circuit board is shown in Fig. 7.
Table 3. Measurement results received from input and output of DC-AC inverter.
Load power
P (W)
Voltage
UDC (VDC)
Current
IDC (A)
Voltage
UAC (VAC)
Current
IAC (A)
Performance
ACDC −η (%)
100 12 9.92 224 0.45 84.67
140 12 13.47 223 0.61 84.15
200 12 20.33 223 0.92 84.09
300 12 29.5 221 1.35 84.27
In Table 3, we use normal loads with a 40 W incandescent lamp and three 100 W
incandescent lamps. The quantities UDC and IDC are voltage and current received at the output of
the 12 VDC voltage stabilizer. UAC and IAC are voltage, current received at the output of the DC-
AC inverter and protection system. The performance ACDC −η is determined from the voltage and
current at the input and output of the DC-AC inverter through the experimental measurement.
The measured values in Table 3 show that the load power of the electrical generator works
from 100 W to 300 W, and operates stably at 200 W during the experiment. Fig. 8 shows the
voltage and current characteristic curves versus output loads at the experiment site.
In Fig.1, the piston-rack of device receives the sea wave energy from the buoy through a
rope. This energy is transmitted to the generating motor through the pinion and gearbox system.
In practice, the input sea wave signals are random, the voltage and current at the output of the
generating motor are not stable. The 12 VDC voltage stabilizer of device is used in order to
stabilize the received electrical power from the generating motor output at 12 VDC voltage. The
DC-AC inverter converts the received 12 VDC voltage at the 12 VDC voltage stabilizer output
to the 220 VAC voltage and 50 Hz frequency (it is also the output voltage of the electrical
Figure 7. The DC-AC inverter and protection
system circuit board.
Figure 8. The voltage and current
characteristic curves versus output loads.
Nguyen Van Hai, Nguyen Dong Anh, Nguyen Nhu Hieu
789
generator). In Table 3, the received average performance of the DC-AC inverter is determined as
follows
%.295.84
4
27.8409.8415.8467.84
=
+++
=
− ACDCη (10)
In the general case, the performance of the electrical generator is determined by the relation
between the real input sea wave signals and the output power signals of the electrical generator.
This relation needs to carry out many experiments for statistical calculations.
In our experiment, we use the Picoscope USB oscilloscope 2204 A and the software of
signal processing to analyze the output voltage obtained from the electrical generator. In Fig. 9,
it is observed that the output voltage wave on the 200 W load in time and in frequency is
received at 220 VAC ± 1.25 % frequency 50 Hz ± 0.06 % and is a pure sine wave.
0.01 0.02 0.03 0.04 0.05 0.06 0.07
-3
-2
-1
0
1
2
3
Time (s)
Vo
lta
ge
(V
AC
) x
10
0
0 50 100 150 200 250 300
0
0.5
1
1.5
2
2.5
X: 49.97
Y: 2.223
Frequency (Hz)
Am
pl
itu
de
(V
) x
10
0
Figure 9. Output voltage wave on the 200 W load of the electrical generator for sea wave energy.
Figures 10 and 11 demonstrate several pictures of field experiments of the electrical
generator for sea wave energy in the Hon Dau sea, Hai Phong province, Viet Nam.
Figure 10. The transport of device on the HQ1788 Ship for experiment process.
a. Preparing for experiment setup
at the Hon Dau Port
b. Uploading experiment device components onto the
HQ1788 Ship
c. Moving the device to experiment site d. Experimental preparation
b. Spectrum of output load voltage a. Output load voltage versus time
Fabrication and experiment of an electrical generator for sea wave energy
790
Figure 11. Measurement, storing and analysis of voltage and power from the electrical generator by the
Picoscope USB oscilloscope 2204A connecting computer on the HQ1788 Ship.
6. CONCLUSIONS
In present paper, we show some results in fabrication and experiment of the electrical
generator for sea wave energy. The device works in the vertical direction of sea waves, its
generator part is fixed on the bottom of the sea in order to overcome the impact of sea storms as
it operates at the sea. The output power of the device is generated up to 300 W and operates
stably at 200 W during experiment at the sea. In the framework of experimental study of our
fabricated device, the received average performance of the DC-AC inverter from 12 VDC
voltage to 220 VAC voltage is about 84.295 %. The output voltage is received at 220 VAC
frequency 50 Hz and is pure sine wave. In the general case, the performance value of the
electrical generator will be investigated in the next works with the real input sea wave signals.
From our experiment results, we realize that the fabrication model is reasonable and
efficient. For the obtained electrical power of device, the electrical generator for sea wave
energy can be used for the signal buoy of the seaway and can supply the electrical power for the
lighthouse. Moreover, at the top of buoy of device has a signal lamp and a 30 W solar panel. The
solar panel is also extra energy source to assure that the signal lamp always operates for the time
at which the sea is calm. The experiment results have also been used for analyzing the model
structure in order to improve the device, and for enhancing power of the electrical generator to
meet the needs of the electrical energy at island sea regions.
Acknowledgement. The authors express deep thanks to the reviewers for their helpful comments and
suggestions. This research was supported by Vietnam Academy of Science and Technology (VAST),
project VAST01.10/16-17.
a. Testing power of device b. Measurement of output current and voltage
c. Buoy of device d. Analysis of output voltage and power
The experiment
loads
Nguyen Van Hai, Nguyen Dong Anh, Nguyen Nhu Hieu
791
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