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Performance analysis of photovoltaic thermal (PVT) water collectors
Ahmad Fudholi a,, Kamaruzzaman Sopian a, Mohammad H. Yazdi a, Mohd Hafidz Ruslan a,Adnan Ibrahim b, Hussein A. Kazem c
a Solar Energy Research Institute, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, Malaysiab Universiti Kuala Lumpur Institute of Product Design and Manufacturing (UniKL IPROM), 56100 Cheras, Kuala Lumpur, Malaysiac Faculty of Engineering-Sohar University, PO Box 44, Sohar PCI 311, Oman
a r t i c l e i n f o
Article history:
Received 21 June 2013
Accepted 11 November 2013
Available online 18 December 2013
Keywords:
Electrical performance
Thermal performance
Photovoltaic thermal (PVT)
PVT performance
Primary-energy saving efficiency
a b s t r a c t
The electrical and thermal performances of photovoltaic thermal (PVT) water collectors were determined
under 500800 W/m2 solar radiation levels. At each solar radiation level, mass flow rates ranging from
0.011 kg/s to 0.041 kg/s were introduced. The PVT collectors were tested with respect to PV efficiency,
thermal efficiency, and a combination of both (PVT efficiency). The results show that the spiral flow
absorber exhibited the highest performance at a solar radiation level of 800 W/m2 and mass flow rate
of 0.041 kg/s. This absorber produced a PVT efficiency of 68.4%, a PV efficiency of 13.8%, and a thermal
efficiency of 54.6%. It also produceda primary-energy savingefficiency ranging from 79% to 91% at a mass
flow rate of 0.0110.041 kg/s.
2013 Elsevier Ltd. All rights reserved.
1. Introduction
The idea of combining photovoltaic (PV) and solar thermal col-
lector to provide electrical and heat energy is not new, yet it has
received limited attention. Growing concern about energy sources
and their usage has consequently increased interest in photovol-
taic thermal (PVT) solar collectors. PVT solar collectors, which basi-
cally combine the functions of a flat plate solar collector and a
photovoltaic panel, convert solar radiation directly into both elec-
trical and thermal energies. Research on PVT started during the
mid-1970s focused on PVT collectors, with the primary aim of
increasing PV efficiency. Domestic application was regarded as
the main market. Initially the focus was on air- and water-based
glazed collectors. Given these problems, the cost of a complete
PVT system is incredibly high and therefore unaffordable for
industrial and residential owners. One of the most attractive
applications of air- or water-based PVT collectors is the building-
integrated photovoltaic thermal (BIPVT) system, which has under-
gone rapid development in recent years. However air-based PVT
systems have undergone more developed. The PVT system has
potential in generating both type of energies because of its higher
reliability and lower environment impact. Generally, a water-
based PVT system consists of a PV module, an absorber collector
in the form of tubes, a transparent glass cover, and an insulated
container. Over the next few years, BIPVT publications are
expected to increase, and PVT products are expected to undergo ra-
pid growth[13].Several studies on PVT solar collectors have been conducted.
Fig. 1shows PVT water collector with glass cover. The purpose of
the transparent cover, firstly to reduce the conduction losses from
the absorber collector through the restraint of the stagnant air
layer between the absorber collector and the glass and secondly
to reduce the radiation losses from the collectors. As shown in
Fig. 3, produced a hybrid PVT systems consist of PV modules made
from polycrystalline and amorphous solar cells with heat extrac-
tion unit mounted together using the copper sheet and pipes con-
cept. The application aspects in the industry of PVT systems with
water heat extraction has been studied thoroughly and analyzed
with TRNSYS program. The study includes the industrial process
heat system that operated at two different (load supply) tempera-
tures. The result shows that the electrical production using poly-
crystalline solar cell is more than when using amorphous solar
cells but in term of solar thermal fraction gives slightly lower re-
sults[3].
Theoretically analyses were based on a modified HottelWhil-
lier model, and the results were validated using experimental data
from a prototype PVT collector[4]. The effects of design parame-
ters, such as fin efficiency, thermal conductivity between the PV
cells and their supporting structure, and lamination method, on
both the electrical and thermal efficiencies of the PVT were also
determined. Furthermore, PVT can be prepared using of lower cost
materials, such as precoated color steel, without significantly
decreasing the efficiency. Integration of PVT into rather than onto
0196-8904/$ - see front matter 2013 Elsevier Ltd. All rights reserved.http://dx.doi.org/10.1016/j.enconman.2013.11.017
Corresponding author.
E-mail address: [email protected](A. Fudholi).
Energy Conversion and Management 78 (2014) 641651
Contents lists available at ScienceDirect
Energy Conversion and Management
j o u r n a l h o m e p a g e : w w w . e l s e v i e r . c o m / l o c a t e / e n c o n m a n
http://dx.doi.org/10.1016/j.enconman.2013.11.017mailto:[email protected]://dx.doi.org/10.1016/j.enconman.2013.11.017http://www.sciencedirect.com/science/journal/01968904http://www.elsevier.com/locate/enconmanhttp://www.elsevier.com/locate/enconmanhttp://www.sciencedirect.com/science/journal/01968904http://dx.doi.org/10.1016/j.enconman.2013.11.017mailto:[email protected]://dx.doi.org/10.1016/j.enconman.2013.11.017http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://-/?-http://crossmark.crossref.org/dialog/?doi=10.1016/j.enconman.2013.11.017&domain=pdfhttp://-/?-8/10/2019 1-s2.0-S0196890413007383-main
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a building can also lower the system cost. In one study on a water-
based PVT system, a numerical model of wall-mounted PVT water
collector systems was developed by modifying the HottelWhillier
model, which was originally used for the thermal analysis of flat-
plate solar thermal collectors. Recently, performance analysis
was conducted to analyze the exergy of PVT. The performance
and life cycle cost of PVT systems with PV technology different
from that of a similar PVT systemwere evaluated. The results showthat the use of PVT systems is generally advantageous over that of
similar PVT systems both from the efficiency and economic point
of view. Mono-crystalline silicon PVT systems have higher energy
and exergy efficiencies and are suitable for applications that have
higher energy and exergy demands or have limited space for
mounting, such as in multistory buildings[5].
A computer simulation was performed to analyze the system
performance. The combined effects of solar cell packing factor
and water mass flow rate on the electrical and thermal efficiencies
were investigated. The simulation results showed that the increase
in working fluid mass flow rate is beneficial for PV cooling. How-
ever, the advantage brought by the increased flow rate diminishes
when the critical flow rate is exceeded, thereby decreasing thermal
efficiency. System operation at the optimum mass flow rate cannot only improve the thermal performance of the system but also
meet the PV cooling requirement to achieve higher electrical per-
formance [6]. A centralized PV and hot-water collector wall system
mounted at vertical facades was experimentally studied [7]. The
results showed that the thermal efficiency was 38.9% at reduced
(zero) temperature and electrical efficiency was 8.56% during late
summer. A dynamic simulation model of a PVT and water heating
system was developed. This modeling approach was validated by
comparison with experimental data[8]. The results showed that
the electrical performance is affected by on-site shading. Moreover,
the output from the model showed high agreement with the exper-imental observations.
A computer simulation of a water-based PVT solar collector
system using energy models was developed. Higher economical
advantages relative to that of a conventional PV system were ob-
tained. The annual average thermal and cell conversion efficiencies
of a specific PVT system, which was mounted on a vertical wall of a
fully air-conditioned building with collectors equipped with a flat-
box-type thermal absorber and polycrystalline silicon cell, were
37.5% and 9.39%, respectively, compared with the normal building
faade[9]. A computational fluid dynamic (CFD) model for a novel
PVT collector was developed and experimentally validated [10].
The results indicated that PV cell efficiency can be increased to
5.3% and the outlet water temperature of the collector is suitable
for domestic hot-water use. The effect of flow distribution on thePV performance of a PVT water collector was also investigated
[11]. The results showed that parameters such as the manifold-
to-riser pipe ratio, array geometry, manifold flow direction, and
mass flow rate affect the flow distribution, which, in turn, affects
PV conversion.
Innovative applications of PVT collector were performed re-
cently [1218]. PVT applications are cost-effective solar energy
applications. However, additional studies must still be conducted,
particularly on the design of new thermal absorber collectors.
Alternative designs of PVT solar collectors are presented in this pa-
per. A prototype of this new absorber was constructed. To date,
studies on water-based PVT collectors have been few. Therefore,
further experimental and analytical research should be performed
to improve the electrical and thermal performance of water-basedPVT solar collectors using new absorber collector designs.
Nomenclature
Ac frontal area solar collector (m2)
b collector width (m)Cb conductance of the bond between the fin and square
tubeCp specific heat of working fluid (J/kg C)
D diameter (m)Dh hydraulic diameter (m)F fin efficiency factorF0 collector efficiency factorFR heat removal efficiency factorGT solar radiation at NOCT (W/m
2)hfi heat transfer coefficient of fluid (W/m
2C)
k thermal conductivity (W/m C)L tube length (m)l thickness (m)_m mass flow rate (kg/s)
N number of glass covern number of tubep collector perimeter (m)Qu actual useful heat gain (W)
S solar radiation (W/m2)T temperature (C)UL overall heat transfer coefficient (W/m
2C)
Ut top loss coefficient (W/m2
C)
v wind velocity (m/s)W tube spacing (m)a absorptanceh collector tilte emittance
s transmittanceg efficiencyr Stefans Boltzmann constant (W/m2C4)
Subscriptsa ambientabs absorber thicknessc cellfi inlet fluidg glassi inleto outletp platepm mean platePV photovoltaicPVT photovoltaic thermalr referencet tubew wind
Fig. 1. PVT water collector with glass cover[3].
642 A. Fudholi et al. / Energy Conversion and Management 78 (2014) 641651
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2. Materials and methods
The fabricated PVT water collector was tested at the Solar
Energy Laboratory, Faculty Science and Technology, Universiti Ke-
bangsaan Malaysia. The solar simulator at this laboratory consists
of 23 units of halogen tungsten lamps (Brillanta), with an output
power of 500 W each. The lamps are arranged in nine columns
with each column.Indoor testing is important because in the laboratory, solar radi-
ation can be controlled, and accurate measurements can be ob-
tained. The control parameters for indoor tests include the input
and output temperatures, ambient temperature, wind velocity at
the collector surface, useful current and voltage, and water flow
rate inside the tube. These parameters were matched to the stan-
dards set for all PVT absorber collectors.
2.1. New design of absorbers
Fig. 2shows three PVT water collector designs. The parameters
of these fabricated design configurations are listed inTable 1. The
first collector (Fig. 2a) is a web flow absorber, the second collector
(Fig. 2b) is direct flow absorber, and the third collector (Fig. 2c) isspiral flow absorber.Fig. 3shows the example of a complete PVT
water collector design with spiral flow absorber. The absorber col-
lectors consisted of either rectangular or round hollow stainless-
steel tubes. The tubes were connected using a tungsten inert gas
welding method. Nipples were welded to the rear surface for man-
ifold attachment. Silicone was used to seal the ends and to glue the
top absorber sheet into place. The absorber collector, which con-
sists of a single unilateral channel for water to flow, was inserted
underneath the standard PV module 1 m high, 0.65 m long, and
0.3 m thick. The thermal insulator was packed beneath the absor-
ber collector to prevent heat from escaping further and to provide
more uniform temperatures throughout the system. A standard PV
module, represented as a flat-plate single glazing sheet of polycrys-
talline silicon, was laminated and bonded using a high-tempera-ture silicone adhesive and sealant. Once sealed and watertight,
the absorber collectors were attached to be the bottom side of
the PV module and then encapsulated in a polyvinyl resin to form
a complete PVT system 815 mm628 mm30 mm in size. The
absorber collectors were designed in the form of a continuous coil
or configured tube and consist of at least one inlet and outlet to al-
low the medium (water) to enter and exit a coil, respectively. The
inlet and outlet nipples were arranged to allow the medium
(water) to flow in and out and cover the entire PV module. The con-figuration is as follows: a low-temperature (cold) medium (water)
enters the coil, flows in and out, and leaves the absorber collector
as hot water, which can be consumed or stored for later use. In this
manner, solar energy can be fully utilized. Normally, in a PVT sys-
tem, the hot-water storage tank is located near the ground level,
whereas the solar module is mounted on the roof. In this PVT sys-
tem, the hot-water storage was located as near as possible to the
collector to maintain the water pressure from the pump to the col-
lector and vice versa. The hot-water storage was connected to the
flat-plate collector through sets of pipes. The water was circulated
by a pump. The pipes were assumed to be well-insulated to pre-
vent heat loss. Energy was absorbed only by the collector unit.
The energy absorbed by the collector was used in heating the
water. Only the water storage tank was assumed to lose energy.The inlet water temperature of the collector was assumed to be
the same as the mean water temperature in the storage tank.
Fig. 2. (a) Web flow absorber, (b) direct flow absorber and (c) spiral flow absorber.
Fig. 3. PVT water collector design with spiral flow absorber.
Table 1
The parameters configurations of PVT solar collectors.
Absorber type Unit
Web flow (Fig. 2a) Absorber material: round hollow tubes of stainless steel
Absorber collector module: 1 channel each of size 12.7 mm1 mm1000 mm (length) and 640 mm (width)
Method of joining: welding
Inlet/outlet no: 2
Direct flow (Fig. 2b) Absorber material: rectangular hollow tubes of stainless steel
Absorber collector module: 19 channel each of size 12.7 mm12.7 mm1 mm1000 mm (length) and 640 mm (width)
Method of joining: welding
Inlet/outlet no: 4
Spiral flow (Fig. 2c) Absorber material: rectangular hollow tubes of stainless steel
Absorber collector module: 1 channel each of size 12.7 mm12.7 mm1 mm700 mm (length) and 640 mm (width)
Method of joining: welding
Inlet/outlet no: 4
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The temperature of the water entering the tank was assumed to be
the same as the outlet temperature of the collector.
2.2. Method
The three PVT water collectors were tested in a laboratory
atmosphere at temperatures and solar radiation levels similar to
those used during the PV module testing. The solar collector wastested using a simulator based on the testing procedures of ISO
9806-1: 1994 and the ANSI/ASHRAE Standard 93: 2003. The testing
procedures include the following features:
(i) The testing procedure can be used to evaluate the perfor-
mance of PVT solar collectors.
(ii) The thermal performance of the collectors can be deter-
mined partly by obtaining the instantaneous efficiencies of
different combinations of incident solar radiation, ambient
temperature, and inlet fluid temperature.
(iii) The test measures the rate of the incident solar radiation
falling onto the solar collector as well as the rate of energy
addition to the transfer fluid as it passes through the
collector.(iv) The testing should be conducted under steady-state or
quasi-steady-state conditions.
The PVT collectors were exposed to solar radiation of 500, 600,
700 and 800 W/m2. When the load was applied to the collectors,
the changes in current and voltage were recorded for each solar
radiation level. During this testing, mass flow rate of 0.011,
0.024, 0.032 kg/s, and 0.041 kg/s were set. Any changes in the col-
lector due to these mass flow rates were recorded. Data were col-
lected and stored every minute using a data-acquisition system,
and these data were subsequently used to calculate the PV effi-
ciency and thermal efficiency of the collector. The water inlet
and outlet during testing were controlled and connected back to
the storage tank to form a close-loop system. The complete mea-
suring setup for the PVT collector is shown in Fig. 4.
3. Analysis of the PVT solar collectors
The performance of the PVT collectors can be expressed by a
combination of efficiency expressions [19] consisting of thermal
efficiency (gth) and electrical efficiency (gPV). These efficiencies
usually include the ratio of the useful thermal gain and electrical
gain of the system to the incident solar irradiation on the collector
gap within a specific time or period. The analytical parameters of
the PVT collector are presented inTable 2. The total efficiencies,
known as total efficiency or PVT efficiency (gPVT), are used to eval-uate the overall performance of the system [1921]:
gPVT gth gPV 1
Electrical energy (gf) is a high-grade form of energy gain, theprimary energy-saving efficiency is proposed as another perfor-
mance indicator of the energy-grade difference between electricity
and thermal energy and is given by[1921]:
gf
gPVgp gth 2
where gp is the electric-power generation efficiency of a conven-tional power plant; its value can be taken as 38%. The evaluation
indicator of the primary energy-saving efficiency also considers
the quality and quantity of the energy that the PVT system converts
into solar energy.
Fig. 4. Schematic diagram of IPVT water collector.
Table 2
PVT solar collector characteristics.
Description Symbol Value Unit
Ambient temperature Ta 20 C
Collector area Ac 0.65 m2
Number of glass cover N 1
Emittance of glass eg 0.88
Emittance of plate ep 0.95
Collector tilt h 14 Fluid thermal conductivity kf 0.613 W/m C
Specific heat of working fluid Cp 4180 J/kg C
Back insulation conductivity kb 0.045 W/m C
Back insulation thickness lb 0.05 m
Insulation conductivity ke 0.045 W/m C
Edge insulation thickness le 0.025 m
Absorber conductivity kabs 51 W/m C
Absorber thickness labs 0.002 m
Fin conductivity kf 84 W/m C
Fin thickness d 0.0005 m
Heat transfer coefficient from cell to absorber hca 45 W/m C
Heat transfer inside tube hfi 333 W/m C
Transmittance s 0.88 Absorptance a 0.95
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3.1. Analysis of flat plate PVT collector
The thermal performance of PVT is affected by a number of sys-
tem design parameters and operating conditions. In this study, the
system was analyzed using various configurations of solar radia-
tion, ambient temperature, and flow rate conditions. The collector
was assumed to be represented as a flat-plate collector with a sin-
gle glazing sheet. Based on this assumption, the thermal and PVperformance of the PVT unit was evaluated by the deriving the effi-
ciency parameters based on the HottelWhillier equations [22].
The thermal efficiency of a conventional flat-plate solar collector
is the ratio of the useful thermal energy (Qu) to the overall incident
solar radiation (S) and can be expressed as:
gthQuS
3
The useful collected heat absorbed by the flat-plate solar collec-
tor can be given as the combined results of the average mass flow
rate _m, heat capacity of flowing medium (Cp) and temperature
difference at the collector inlet (Ti) and outlet (To) and can be ex-
pressed as:
Qu
_mCp
ToT
i 4
The difference between the absorber solar radiation and ther-
mal heat losses is determined using the HottelWhillier equation
[23]:
Qu AcFRGTsaPVULTiTa 5
where Ac is the collector area, Ta is the ambient temperature, Ti is
the inlet temperature, UL is the overall collector heat loss, (sa)PVis the PV thermal efficiency, GTis the solar radiation at NOCT (radi-
ation level 800 W/m2, wind velocity 1 m/s, and ambient tempera-
ture 26 C), andFR is the heat removal efficiency factor introduced
[22,23]. This factor is expressed as follows:
FR _mCpAcUL
1 exp AcULF
0
_mCp 6whereF0 is the collector efficiency factor, which is calculated using
F0 1UL
ULDh W DhF
" #
1
Cb
1
2abhfi7
where a is the duct width, b is the duct height, Cb is the conductance
of the bond between the fin and square tube,hfiis the heat-transfer
coefficient of the fluid,Dhis the hydraulic diameter, andFis the fin
efficiency factor given by
Ftanh MWDh
2
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiMWDh
2
q 8
where
Dh 2ab
ab 9
The coefficientMin Eq.(8)considers both the thermal conduc-
tivity of the absorber and the PV cell. Mis calculated using[11,24]
M
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiUL
kabslabskPVlPV
s 10
where kabsis the absorber thermal conductivity, labsis the absor-
ber thickness, kPVis the PVT conductivity, and lPVis the PV collector
thickness. The overall loss coefficient (UL) of the collector is the
sum of the edge (Ue) and top (Ut) loss coefficients and can be ex-
pressed as
UL UeUt 11
Ue kepl
LeAc12
Ut N
CTpm
TpmTaNf
h ie 1hw8>:
9>=
>;
1
rTpmTa T
2pmT
2a
ep 0:00591Nhw
1
2Nf10:133epeg
N13
where
C 5201 0:000051b2 14
f 1 0:089hw 0:1166hwep1 0:07866N 15
e 0:43 1 100
Tpm
16
Tpm TiQ=Ac
FRUL1 FR 17
wherep is the collector perimeter, Nis the number of glass covers,ris the StefanBoltzmann constant,epis the plate emittance,egis the
glass emittance,b is the collector tilt,Tpmis the mean plate temper-
ature, andhw is the wind heat-transfer coefficient.
The heat transfer coefficients such as the forced convection (hw)
can be calculated using Eq. (18) [25], whereas the natural heat
transfers (hnat) can be calculated using Eq.(19)[25], as follows:
hw 2:8 3:0v 18
hnat 1:78TpmTa 19
A combination of the natural and forced convection heat trans-
fer (Eqs. (18) and (19)) determines the overall convection heattransfer (hc) and possibly the overall top loss heat-transfer coeffi-
cient for the collector[26].
hc
ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffih
3wh
3nat
q 20
The useful heat gain produced by the PVT collector can then be
calculated using Eqs. (320). By rearranging Eq. (3), the thermal
efficiency of the collector is expressed as [27]
gth FRsaPVFRULTiTaGT
21
3.2. Principle of the PV module
The electrical efficiency of the PV module (gPV), which is a func-tion of module temperature, is given by [3,28]
gPV gr1 cTcTr 22
where gris the reference efficiency of the PV module (gr= 0.12),cisa temperature coefficient (c= 0.0045 C),Tcis the cell temperature,andTris the reference temperature.
4. Results and observations
The performance and efficiency of the PVT collectors are deter-
mined by their electrical and thermal characteristics. The analyses
of the PVT collectors are segregated into three sections, namely PVefficiency, thermal efficiency, and combination of both.
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4.1. Effects of the PV module temperature on the PVT collector PV
efficiency
Figs. 58and simplified inTables 35show the analysis results
of the PVT collectors after exposure to 500800 W/m2 of solar radi-
ation at 0.0110.041 kg/s mass flow rates. The results show that
the PV efficiencies of the collectors significantly changed under
various PV temperature and mass flow rates. Among the basicPVT absorber collectors, the web system at 500 W/m2 exhibited a
decreased PV efficiency of 0.35%, from 11.42% at 47.88 C to
11.07% at 50.24 C. At 600 W/m2, the total PV efficiency increased
to 0.39% but showed an average decrease from 11.94% at
48.57 C to 11.55% at 51.65 C. At 700 W/m2, the total PV efficiency
increased by 0.42% from 12.13% at 49.65 C to 11.71% at 52.85 C.
When the solar radiation further increased to 800 W/m2, the total
PV efficiency increased by 0.46% from 12.37% at 50.03 C to 11.91%
at 53.54 C. Meanwhile, the change trend of direct flow is nearly
similar to that of web flow, with the total PV efficiency increasing
by 0.37% from 11.78% at 47.28 C to 11.41% at 50.15 C. When the
solar radiation was increased to 600 W/m2, the efficiency further
increased by 0.42, from 12.18% at 48.5 C to 11.76% at 51.75 C.
At 700 W/m2, the total efficiency increased by 0.45% from 12.38%
at 49.22 C to 11.93% at 52.95 C. Further increase in the solar radi-
ation to 800 W/m2 resulted in a 0.5% increase in the total PV effi-
ciency, from 12.69% at 49.89 C to 12.19% at 53.64 C. On the
other hand, the spiral flow exhibited a 0.53% increase in the total
PV efficiency, from 12.52% at 46.24 C to 11.99% at 50.86 C. When
the solar radiation was further increased to 600 W/m2, the total PV
efficiency increased by 0.58% from 13.07% at 46.84 C to 12.49% at
51.95 C. At 700 W/m2, the total PV efficiency increased by 0.63%
from 13.47% at 47.64 C to 12.84% at 52.83 C. Finally, at 800 W/
m2, the PV efficiency increased by 0.63%. This inclination is result-
ing from the average efficiency, which dropped due to the cooling
effect of the collector. The data collected shows when the temper-
ature increased, mass flow rate dropped, the efficiency dropped
simultaneously. As result, the collector efficiency dropped from
13.81% at 48.03 C to 13.01% at 53.35 C.
4.2. Effect of mass flow rate on the PVT collectors
The mass flow rate through the collectors and into the desig-
nated channels indirectly affects PV module cooling. The effects
of the mass flow rate on the absorber collectors are shown in
Figs. 911. The mass flow rates used in this analysis (0.011
0.041 kg/s) were later applied under various solar radiation levels.
The results show that increasing the mass flow rate simultaneously
decreased the PV temperature of the PVT collectors at all solar radi-
ation levels. At the same mass flow rate, the PV temperatures in-
creased in the solar radiation level. Figs. 59 show that from
0.011 kg/s to 0.041 kg/s mass flow rates and under 500 W/m2 solar
radiation, the temperature decreased from 50.20 C to 47.76 C and
PV efficiency simultaneously increased from 11.07% to 11.42%.
When solar radiation was increased to 800 W/m2, temperature
dropped from 53.5 C to 50 C, whereas PV efficiency increased
from 11.91% to 12.37%. For the direct flow absorber as (Fig. 10)
and referring to Figs. 58, at solar radiation of 500 W/m2 and when
mass flow rate increased from 0.011 kg/s to 0.041 kg/s, PV temper-
ature dropped from 50.11 C to 47.18 C, and PV efficiency in-
creased from 11.41% to 11.78%. The same result was obtained
when the solar radiation increased to 800 W/m2: temperature de-
creased from 53.6 C to 49.8 C, whereas PV efficiency increased
from 12.19% to 12.69%.
For the spiral flow absorber collector (Figs. 58 and 11), PVtem-
perature decreased from 50.76 C to 46.2 C, and PV efficiency in-creased from 11.99% to 12.52% at a solar radiation of 500 W/m2
Fig. 5. Changes in PV efficiency with the mean PV temperature of the PVT absorbercollectors under 500 W/m2 of solar radiation.
Fig. 6. Changes in PV efficiency with the mean PV temperature of the PVT absorber
collectors under 600 W/m2 of solar radiation.
Fig. 7. Changes in PV efficiency with the mean PV temperature of the PVT absorber
collectors under 700 W/m2 of solar radiation.
Fig. 8. Changes in PV efficiency with the mean PV temperature of the PVT absorber
collectors under 800 W/m2 of solar radiation.
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with the mass flow rate increased from 0.011 kg/s to 0.014 kg/s. At800 W/m2 solar radiation level, PV temperature was 53.3 C and
decreased to 48C, whereas PV efficiency increased from 13.01%
to 13.81%.
Table 3
Results of PV efficiency (gPV) and PV temperature (TPV) for web flow under various mass flow rates and solar radiations.
500 W/m2 600 W/m2 700 W/m2 800 W/m2
_m(kg/s) TPV(C) gPV(%) TPV(C) gPV(%) TPV(C) gPV(%) TPV(C) gPV(%)
0.011 50.24 11.07 51.65 11.55 52.85 11.71 53.54 11.91
0.013 49.93 11.12 51.04 11.62 52.33 11.78 53.03 12.00
0.016 49.65 11.18 50.63 11.69 51.95 11.82 52.65 12.07
0.020 49.26 11.22 50.26 11.75 51.37 11.93 52.06 12.15
0.024 48.83 11.27 49.76 11.80 50.89 11.98 51.69 12.20
0.027 48.58 11.30 49.59 11.84 50.69 12.01 51.17 12.22
0.029 48.46 11.32 49.27 11.87 50.45 12.02 51.05 12.26
0.032 48.27 11.35 49.09 11.90 50.22 12.04 50.84 12.28
0.035 48.09 11.38 48.87 11.92 50.01 12.07 50.55 12.32
0.038 47.90 11.40 48.76 11.93 49.82 12.10 50.14 12.35
0.041 47.88 11.42 48.57 11.94 49.65 12.13 50.03 12.37
Table 4
Results of PV efficiency (gPV) and PV temperature (TPV) for direct flow under various mass flow rates and solar radiations.
500 W/m2 600 W/m2 700 W/m2 800 W/m2
_m(kg/s) TPV(C) gPV(%) TPV(C) gPV(%) TPV(C) gPV(%) TPV(C) gPV(%)
0.011 50.15 11.41 51.75 11.76 52.95 11.93 53.64 12.19
0.013 50.04 11.45 51.34 11.84 52.54 11.99 53.25 12.240.016 49.56 11.50 50.86 11.90 51.93 12.04 52.86 12.30
0.020 48.84 11.56 50.47 11.96 51.36 12.13 52.13 12.41
0.024 48.53 11.60 49.95 12.01 50.74 12.18 51.56 12.49
0.027 48.17 11.62 49.63 12.05 50.57 12.23 51.04 12.52
0.029 48.35 11.65 49.46 12.09 50.15 12.25 51.03 12.55
0.032 48.06 11.68 49.38 12.12 49.94 12.26 50.66 12.59
0.035 47.85 11.70 48.99 12.14 49.63 12.31 50.23 12.62
0.038 47.67 11.74 48.76 12.15 49.47 12.35 50.06 12.66
0.041 47.28 11.78 48.50 12.18 49.22 12.38 49.89 12.69
Table 5
Results of PV efficiency (gPV) and PV temperature (TPV) for spiral flow under various mass flow rates and solar radiations.
500 W/m2 600 W/m2 700 W/m2 800 W/m2
_m(kg/s) TPV(C) gPV(%) TPV(C) gPV(%) TPV(C) gPV(%) TPV(C) gPV(%)
0.011 50.86 11.99 51.95 12.49 52.83 12.84 53.35 13.01
0.013 49.94 12.06 51.13 12.53 52.15 12.90 52.73 13.20
0.016 49.33 12.15 50.44 12.66 51.23 13.00 52.05 13.33
0.020 48.72 12.22 49.53 12.75 50.26 13.14 50.83 13.44
0.024 48.05 12.27 48.76 12.84 49.73 13.22 50.25 13.56
0.027 47.82 12.32 48.43 12.90 49.21 13.29 49.73 13.63
0.029 47.40 12.36 48.06 12.92 48.86 13.31 49.26 13.66
0.032 47.07 12.40 47.82 12.94 48.48 13.36 48.97 13.71
0.035 46.74 12.44 47.58 13.00 48.28 13.42 48.68 13.75
0.038 46.43 12.49 47.15 13.05 47.86 13.44 48.34 13.79
0.041 46.24 12.52 46.84 13.07 47.64 13.47 48.03 13.81
Fig. 9. Changes in PV temperature of web flow absorber with the mass flow rates
under different solar radiation levels. Fig. 10. Changes in PV temperature of the direct flow absorber with the mass flow
rate under different solar radiation levels.
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4.3. Thermal performance of PVT collectors
Fig. 12 and Table 6 show the increase in thermal efficiency with
the mass flow rates of the PVT collectors under 800 W/m2 of solarradiation. The web flow absorber exhibited an increase in the ther-
mal efficiency from 41.11% to 48.07% as a result of the increased
mass flow rate from 0.011 kg/s to 0.041 kg/s. The other absorbers
exhibited the same trend. The direct flow absorber exhibited an in-
creased thermal efficiency from 46.43% to 54.13% when the mass
flow rate increased from 0.011 kg/s to 0.041 kg/s. The highest ther-
mal efficiency was produced by the spiral flow absorber, which
exhibited an increase from 58.01% to 68.42% when the mass flow
rate increased from 0.011 kg/s to 0.041 kg/s. Fig. 13andTable 7
show that the outlet temperature of the collectors decreased with
increased mass flow rates under 800 W/m2 of solar radiation. The
outlet temperature of the web flow absorber dropped from
63.34 C to 49.54 C, whereas those for the direct flow and spiral
flow absorbers dropped from 62.57 C to 50.32 C and 65 C to
52.4 C, respectively.
4.4. PVT performance of PVT water collectors
The performance of the PVT collectors can be represented by a
combination of efficiency expressions, which consists of electrical
efficiency and thermal efficiency. The sum of both efficiencies,
known as the PVT efficiency, is used to evaluate the overall perfor-
mance of the system. Based on the testing performed on the collec-
tors, both efficiencies increased when the mass flow rate increased.
Therefore, the total efficiency (PVT efficiency) and primary energy-
saving efficiency increased concurrently when the mass flow rate
increased.
Figs. 1417 and Table 6 show PV, thermal, PVT, and primary en-
ergy-saving efficiencies, respectively, of the web flow, direct flow,
and spiral flows at 0.0110.041 kg/s mass flow rates and 800 W/
m2 solar radiation. The PVT efficiency of the web, direct, and spiral
flow absorbers further increased by 7.4%, 8.2%, and 10.4%, respec-
tively, and their primary energy-saving efficiency increased by
8.2%, 9%, and 11.7%, respectively. The web flow absorber exhibited
an increase PVT efficiency from 53.0% to 60.44% when the mass
flow rate increased from 0.011 kg/s to 0.041 kg/s. The other
absorbers exhibited the same trend. The direct flow absorber
showed an increased PVT efficiency from 58.62% to 66.82% when
the mass flow rate increased. The highest PVT efficiency obtained
was that of the spiral flow absorber, which exhibited an increase
from 58.01% to 68.42%.
The web flow absorber showed an increase in primary energy-
saving efficiency from 72.45% to 80.62%. Meanwhile, the direct
flow absorber exhibited an increased primary energy-saving
Fig. 11. Changes in PV temperature of the spiral flow absorber with the mass flow
rate under different solar radiation levels.
Fig. 12. Changes in thermal efficiency of 800 W/m2 solar radiation with the mass
flow rate for different flow absorbers.
Table 6
Results of efficiencies at different mass flow rates under 800 W/m 2 of solar radiation.
Web flow Direct flow Spiral flow_m(kg/s) Efficiencies (%) Efficiencies (%) Efficiencies (%)
gth gPV gPVT gf gth gPV gPVT gf gth gPV gPVT gf
0.011 41.11 11.91 53.02 72.45 46.43 12.19 58.62 78.51 45.00 13.01 58.01 79.24
0.013 42.66 12.00 54.66 74.24 48.53 12.24 60.77 80.74 48.49 13.20 61.69 83.23
0.016 43.98 12.07 56.05 75.74 50.01 12.30 62.31 82.38 49.64 13.33 62.97 84.72
0.020 46.66 12.15 58.81 78.63 50.98 12.41 63.39 83.64 51.05 13.44 64.49 86.42
0.024 47.03 12.20 59.23 79.14 52.47 12.49 64.96 85.34 51.73 13.56 65.29 87.41
0.027 47.25 12.22 59.47 79.41 52.67 12.52 65.19 85.62 51.95 13.63 65.58 87.82
0.029 47.37 12.26 59.63 79.63 52.84 12.55 65.39 85.87 52.07 13.66 65.73 88.02
0.032 47.52 12.28 59.80 79.84 52.97 12.59 65.56 86.10 52.25 13.71 65.96 88.33
0.035 47.66 12.32 59.98 80.08 53.08 12.62 65.70 86.29 52.38 13.75 66.13 88.56
0.038 47.79 12.35 60.14 80.29 53.19 12.66 65.85 86.51 52.51 13.79 66.30 88.80
0.041 48.07 12.37 60.44 80.62 54.13 12.69 66.82 87.52 54.61 13.81 68.42 90.95
Fig. 13. Changes in outlet temperature of 800 W/m2 solar radiation with the mass
flow rates for different flow absorbers.
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efficiency from 78.51% to 87.52%. The highest primary-energy sav-
ing efficiency was exhibited by the spiral flow absorber, which
showed an increase from 79.24% to 90.95%.
Figs. 1820 and Table 7 show inlet, outlet, and PV temperatures,
respectively, of the web flow, direct flow, and spiral flows at
0.0110.041 kg/s mass flow rates and 800 W/m2 solar radiation.
The results show that increasing the mass flow rate simultaneously
decreased the temperatures (inlet, outlet and PV) of the PVT
collectors.
4.5. Comparison with other absorber collector designs
A performance evaluation was conducted to investigate theintegration of PV and thermal system. The performance of a
conventional solar water heater, which is a PVT system known as
the integrated photovoltaic/thermal system was studied. The re-sults showed that the solar PVT collector made from a corrugated
polycarbonate module produced high thermal efficiency. Huang
et al. [29]suggested that further improvements can be achieved
by using proper insulation for the PVT design. They managed to
achieve a PV efficiency of 9%, a thermal efficiency of 38%, and a to-
tal efficiency (PVT efficiency) of 47%.
A PVT collector system for domestic application in China was
developed [30,31]. In this experiment, an aluminum-alloy flat
box with a square or rectangular channel was designed and
constructed. The test results showed the high efficiency of the
Table 7
Results of temperatures at different mass flow rates under 800 W/m2 of solar radiation.
Web flow Direct flow Spiral flow
_m(kg/s) Ti (C) To (C) ToTi (C) TPV(C) Ti (C) To (C) ToTi (C) TPV(C) Ti (C) To (C) ToTi (C) TPV(C)
0.011 51.00 63.34 12.34 53.54 50.90 62.57 11.67 53.64 54.00 65.00 11.00 53.35
0.013 48.32 60.39 12.07 53.03 47.22 58.67 11.45 53.25 47.32 61.00 13.68 52.73
0.016 46.32 58.25 11.93 52.65 45.00 56.36 11.36 52.86 45.78 59.04 13.26 52.05
0.020 41.04 52.90 11.86 52.06 43.78 55.08 11.30 52.13 43.63 56.97 13.34 50.83
0.024 40.93 52.13 11.20 51.69 41.22 52.50 11.28 51.56 42.78 54.99 12.21 50.25
0.027 40.85 51.36 10.51 51.17 41.12 52.00 10.88 51.04 42.64 54.84 12.20 49.73
0.029 40.81 50.59 9.78 51.05 40.96 51.50 10.54 51.03 42.58 54.72 12.14 49.26
0.032 40.79 50.12 9.33 50.84 40.91 50.93 10.02 50.66 42.42 54.54 12.12 48.97
0.035 40.72 49.85 9.13 50.55 40.88 50.63 9.75 50.23 42.34 53.78 11.44 48.68
0.038 40.64 49.70 9.06 50.14 40.82 50.48 9.66 50.06 42.25 53.18 10.93 48.34
0.041 40.20 49.54 9.34 50.03 39.00 50.32 11.32 49.89 42.09 52.40 10.31 48.03
Fig. 14. Changes in web flow absorber efficiency with mass flow rate under 800 W/
m2 of solar radiation.
Fig. 15. Changes in direct flow absorber efficiency with mass flow rate under
800 W/m2
of solar radiation.
Fig. 16. Changes in spiral flow absorber efficiency with mass flow rate under
800 W/m2 of solar radiation.
Fig. 17. Comparison of the PVT and primary energy-saving efficiencies of theabsorbers at different mass flow rates under 800 W/m2 of solar radiation.
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combined system, with a nearly 65% primary energy saving for dai-ly exposure at reduced (zero) temperature operation. Chow et al.
[30,31]managed to achieve a PV efficiency of 11%, a thermal effi-
ciency of 51%, and a total efficiency (PVT efficiency) of 62%. A sim-
ilar experiment was performed using an aluminum-alloy flat box
with a square or rectangular channel and polycrystalline silicone
cells, which utilized water as a [32]. The results showed that the
thermal efficiency reached 40% when the initial temperature in
the system matched the daily mean ambient temperature. He
et al.[32]managed to achieve a PV efficiency of 9.87%, a thermal
efficiency of 40%, and a total efficiency of 49.87%.
Another experiment on a natural-circulation hybrid PVT water-
heating system was conducted[33]. In this experiment, a sensitiv-
ity study of the system showed that by combining different
systems, the installation area produce more energy per unit surfacearea than a system consisting of one PV module and one hot-water
system. Ji et al. [33] managed to achieve a PV efficiency of 10.15%, a
thermal efficiency of 45%, and a total efficiency of 55.15%. Table 8
shows the summarized comparison results between the proposed
absorber configurations and other absorber collector designs
[20,2933]. According to the literature[20], the PVT water-based
collector can achieve a maximum electrical efficiency of around9.5% and a thermal efficiency of approximately 50%.
5. Conclusion
PVT water collector consisting of a combined PV module and an
absorber collector were investigated. The performances of three
PVT water collectors were determined. The results indicate that a
solar radiation level of 800 W/m2 and a mass flow rate of
0.041 kg/s, the spiral flow absorber produced a PVT efficiency of
approximately 65%, a PV efficiency of 13%, and a thermal efficiency
of 52%. It also exhibited a primary energy-saving efficiency of 79
91% at mass flow rates ranging of 0.0110.041 kg/s.
The results show that the efficiency of the PV module increase
when the temperature decrease. The decrease in temperature isnot linear with the mass flow rate increase. However, temperature
significantly decrease after the mass flow rate reaches 0.024 kg/s.
Overall, the efficiency of the PVT water collectors increases with
the mass flow rates under various solar radiation levels. This result
is due to the increase in the cooling factor of the PV module cells
when the mass flow rate increases. Therefore, mass flow rate
indirectly contributes to the increase in PVT water collector
temperature.
Acknowledgements
The authors would like to thank the Ministry of Science,
Technology, and Innovation Malaysia for funding this research
(Sciencefund 03-01-02-SF0039) and the Solar Energy Research
Institute (SERI), Universiti Kebangsaan Malaysia for providing the
laboratory facilities and technical support.
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