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International Journal of Engineering Research and Development
e-ISSN: 2278-067X, p-ISSN: 2278-800X, www.ijerd.com
Volume 6, Issue 7 (April 2013), PP. 52-60
52
Micro-Cogeneration with a Fresnel Solar Concentrator
Marco Bortolini1
, Mauro Gamberi2
, Alessandro Graziani1,2
1
Department of Industrial Engineering, University of Bologna, Viale del Risorgimento 2, 40136, Bologna - Italy
2
Department of Management and Engineering, University of Padova, Stradella San Nicola 3, 36100, Vicenza -
Italy
Abstract:- The technical and economic sustainability of photovoltaic (PV) systems is heavily affected
by the cost and performances of the adopted PV cells. Solar concentrators represent an effective
alternative to reduce the solar cell surface and, at the same time, to increase the global conversion
efficiency. Such systems include optic elements to concentrate the solar radiation to a small area where
high-efficiency PV cells are located. Particularly, the adoption of multi-junction cells, e.g. Triple-
Junction Photovoltaic (TJPV) cells, is encouraged to increase the power conversion performance. This
paper presents full details about the design and operating features of a Fresnel lens solar concentrator
for the micro-cogeneration of electrical power and thermal energy. The two axis controlled prototype
integrates five different functional modules to guarantee the required features. Basically, the TJPV
cells allow power production, while eight Water Heat Exchangers (WHEs) are installed for both the
cell cooling and the recovery of thermal energy. The operative concentration factor is up to 800x
through eight non-imaging Fresnel lenses integrated to the solar collector. Furthermore, a two axes
solar tracker assures sun collimation during day-time. The prototype control, together with the
monitoring of the environmental conditions and the energy conversion performances, is provided
thanks to a semi-automatic real-time interface developed adopting LabView© Integrated Development
Environment (IDE). A set of preliminary field-tests is assessed to study both the solar collimation
accuracy and the prototype overall energy performances. The obtained evidences are presented and
fully discussed in this paper.
Keywords:- concentrator system, distributed micro-cogeneration, Fresnel lens, solar energy, solar
tracking.
I. INTRODUCTION
Photovoltaic (PV) silicon solar cells generally produce electricity with a conversion efficiency lower
than 26% [1], while multi-junction solar cells, III–V components based, reach values close to 42% [2][3] and
represent, nowadays, a performing solution to convert the sun rays to power energy. Unfortunately, due to their
high cost, these cells are not convenient for standard flat-plane modules. Crystalline silicon represents, actually,
the most adopted material to produce PV modules. The concentrating solar technology allows to reduce the
receiver surface due to the concentration of the sun rays to a small area, i.e. focus point. Consequently, in such
energy plants, the adoption of multi-junction solar cells becomes feasible and potentially profitable [4]. Zubi et
al. [5] present the state of the art of high concentration photovoltaics. These energy conversion systems adopt
parabolic mirrors or lenses to convey the sun rays to the solar receiver. El Gharbi et al. [6] analyze and compare
such optic technologies, while Xie et al. [7] and Chemisana et al. [8] focus and review the applications
integrating Fresnel lenses. Sonneveld et. al [9] and Chemisana [10] review and describe building integrated
concentrating PV systems highlighting the current state of the art and the possible future scenarios.
Solar concentration systems generally require a cooling circuit to control the receiver temperature
preventing damages to the cells and the decrease of their conversion efficiency level. Chemisana et al. [11]
estimate an average decrease of the cell electrical performances equal to 0.14% per Celsius degree. Even if a
cooling hydraulic circuit is often necessary, nowadays, few applications integrate a thermal recovery unit to
solar concentrators. Combined heat and power (CHP) systems are not often developed, especially for small size
solar energy systems, i.e. micro-cogeneration, while a large number of contributions consider CHP plants
integrated to plane modules. Immovilli et al. [12] focus this aspect in deep. Finally, solar concentrators are able
to capture only the beam fraction of the solar radiation. A sun tracking system represents a crucial device to
increase the solar conversion efficiency. Aim of this device is to guarantee the best collimation between the
solar collector and the sun, from sunrise to sunset, so that the former is always orthogonal to the direction of the
sun rays [13]. Bortolini et al. describe the design and test of a sun tracking system based on a feedback control
algorithm applied to a Fresnel lens small scale module [14][15].
Micro-Cogeneration with a Fresnel Solar Concentrator
53
Aim of this paper is to present the design, development and field-test of a solar concentrating prototype
for the distributed micro-cogeneration of heat and power. The system integrates a solar collector, to concentrate
the solar radiation, a set of eight receivers, including high efficiency triple junction photovoltaic (TJPV) cells,
for power generation, and a same number of water heat exchangers (WHEs) for the cell cooling and the thermal
recovery. To increase the global conversion efficiency, a biaxial solar tracker is installed and properly controlled.
The developed energy system allows to study the electric and thermal conversion efficiencies together
with an assessment of the solar collimation accuracy. Furthermore, an analysis of the expected manufacturing
costs highlights the crucial drivers affecting an investment in such solar energy plants.
The reminder of this paper is organized as follows: the next Section 2 describes the developed
prototype, giving full details about its functional modules. Section 3 introduces the aforementioned economic
analysis of the system manufacturing costs, while, in Section 4, the outcomes of a set of field-tests are discussed
highlighting the perspectives for such an energy system. Conclusions are drown in Section 5 together with
suggestions for further research and the prototype improvement.
II. SOLAR CONCENTRATOR PROTOTYPE DESCRIPTION
The following Figure 1 shows a picture of the developed prototype.
Fig. 1: Developed Fresnel solar prototype
The overall dimensions are, approximately, of 1.6x1.7x2m height and the weight is of 120kg. The solar
conversion system allows the CHP production due to the refraction of solar radiation. A set of eight squared
330×330mm Fresnel lenses, fixed on a reticular frame, made of several welded aluminum squared profiles, i.e.
the solar collector, concentrates the incident radiation on an equivalent number of solar receivers located in
correspondence of the lens foci. Each of them includes a high efficiency TJPV solar cell installed on a WHE
with the purpose of both cell cooling and thermal recovery. Furthermore, the biaxial solar tracker guarantees the
highest captation of solar radiation during the day by aligning the system position to the direction of the incident
sun rays. The solar tracker consists of two mechanical actuators able to rotate both the collector and the receiver
along two solar coordinates, i.e. the azimuthal and zenithal axes of motion, so that the surface of the Fresnel
lenses, i.e. the solar collector, is always orthogonal to the direction of the incident radiation. An electronic
remote controller implements a closed loop algorithm for solar tracking. At last, the hydraulic circuit integrated
to the prototype allows the cooling of the cells and the heat recovery supplying the cooling fluid, i.e. purified
water, to the WHEs.
The following five functional modules are integrated to the prototype:
- support steel structure;
- solar collector and receivers;
- solar tracking system;
- real-time motion control and monitoring system;
- hydraulic circuit for cell cooling and thermal recovery.
Further details about each of them are provided in the next paragraphs of this Section together with a
quantitative description of the design choices.
2.1 Support steel structure
The support structure of the developed prototype is made of two elements, both realized with
galvanized steel, i.e. the support base and the vertical pillar (see Figure 1). The former, whose dimensions are
1.6×1.0m, prevents the tip over of the whole plant and it is made of four squared 50×50mm welded tubular
profiles. A 320×320mm galvanized steel plate is screwed in the centre of the base and supports the latter
Micro-Cogeneration with a Fresnel Solar Concentrator
54
structural element, i.e. the vertical pillar. Its height is of 1.4m and the diameter of 140mm. On top of the pillar it
is located a 1.6m horizontal shaft supporting the reticular solar collector, integrating the Fresnel lenses and the
receivers.
2.2 Solar collector and receivers
The designed solar collector detects the incident radiation on a wide surface and concentrates it to a
smaller area, i.e. the focus point, where the receivers, including the TJPV solar cells, are located. The ratio
between the collector and the receiver areas is known as the geometric concentration factor. The developed
prototype includes eight different collector + receiver modules. Each of them integrates a commercial
330×330mm PMMA Fresnel lens and an aluminium WHE with up to four 10×10mm InGa/GaAs/Ge TJPV cell
(ηnom = 35% measured in standard temperature and irradiation conditions). Figure 2 shows a picture and a 3D
render of the described receiver. The electric and hydraulic connections of both the cells and the WHEs are in
series, while the maximum lens concentration factor is of 800x.
Fig. 2: Solar receiver integrating the TJPV solar cells
Each WHE presents one entry and two exits holes and its design increases the heat exchange between
the cooling fluid and the aluminium plate where the cell is fixed. The inlet flow hits perpendicularly the portion
of the WHE surface where the TJPV cell is located, while the exit holes are laterally located. The overall heat
exchange surface is, approximately, of 64cm2
.
To correctly support both the lenses and the receivers a metallic reticular structure is designed. Two
frames are realized. Each of them integrates four modules and its dimensions are of 666×666×400mm,
accordingly to the Fresnel lens size and their focal distance, equal to 350mm. Finally, a set of metal panels,
located on bottom an lateral surfaces of each frame, protects the receivers preventing damages.
2.3 Solar tracking system
To maximize the captation of the solar radiation, the solar tracking system guarantees an accurate
collimation between the prototype and the sun during the whole day. Two distinct cinematic mechanisms assure
the biaxial motion of the prototype. Both mechanisms adopt a stepper motor as the actuator. Its holding torque is
of 3Nm, the phase current of 4.2A DC and the angular step resolution is of 1.8 degrees. Each actuator is coupled
to a gear reducer (gear ratio equal to 100) and to a further chain drive motion transmission system (gear ratio
equal to 4) as in Figure 3. Globally, the angular resolution is close to 10-3
degrees per step. The tracking
mechanisms are installed in two different positions: for the zenithal axis of motion the tracker is located on a
plate on top of the pillar and it is directly coupled to the shaft that supports the reticular frames containing the
lenses and the receivers. On the contrary, the azimuthal tracker is close to the bottom of the vertical pillar and
the transmission of motion is made thanks to a vertical shaft coaxial to the pillar and placed inside it. Finally, a
real time remote controller, implementing the closed loop algorithm described in the following, manages the
motion control. Two metal capsules are used to protect each tracking mechanism from the rain and other
atmospheric agents.
Fig. 3: Zenithal and azimuthal tracking mechanisms
Micro-Cogeneration with a Fresnel Solar Concentrator
55
2.4 Real-time motion control and monitoring system
The developed prototype integrates a real-time remote control platform for the biaxial regulation and
the cyclic measure of both the environmental conditions and the energy conversion parameters. Such a platform
is developed with LabView© Integrated Development Environment (IDE) and it runs on a NI C-RIO real-time
auxiliary industrial module. The next Figure 4 proposes the key concept of the feedback loop to control the
zenithal and azimuthal motion axes.
Output
sun tracking
Remote
controller
Microstepping
driver
Stepper
motor
Phototransistors
Input
setpoint
Fig. 4: Feedback control loop adopting phototransistors
The remote controller implements an iterative algorithm based on the difference between the
transduced current signals, measured by a set of four phototransistors used as solar irradiance sensors, and
properly integrated to the solar collimator represented in the next Figure 5. For each motion axis, the difference
between the transduced signals is correlated to the misalignment between the sun rays and the current system
position. As a consequence, if the alignment gap is out of a given tolerance the system needs to be realigned.
The microstepping driver modulates the power signal of a 24 V DC generator and it supplies the stepper motors
rotating the solar collector until the alignment gap is back to the defined tolerance range. The angular resolution
of about 10-3
degrees per step assures high accuracy in daily sun collimation. Further details about the real-time
control strategy are in Bortolini et al. [14][15].
The remote controller further monitors the most relevant environmental and energetic parameters to
evaluate the plant performances and to calculate the aggregate power and thermal conversion efficiencies. The
profiles of the global and beam radiation, the air temperature, the wind speed and direction are traced together
with the produced electrical power and the recovered thermal energy.
Fig. 5: Solar collimator for biaxial tracking
Figure 6 shows the auxiliary weather station adopted to monitor the major weather parameters and the
pyrheliometer for the beam radiation measure. Details about the adopted sensors are in Table I.
Fig. 6: Weather station and the pyrheliometer
Table I: Features of the adopted environmental sensors
Sensor Details
Adopted operative
range
Output signal range
Micro-Cogeneration with a Fresnel Solar Concentrator
56
Pyranometer
Delta Ohm - LP Pyra 03AC
Sensitivity: 17.09mV/(kW/m2
)
Impedance: 37.6Ω
0..2000W/m2
4..20mA
Pyrheliometer
Kipp & Zonen - CHP1,
AMPBOX
Sensitivity: 8.03μV/(kW/m2
)
Impedance: 30.3Ω
0..1600W/m2
4..20mA
Air
thermometer
Italcoppie Pt-100, Transmitter
Accuracy: ±0.12Ω at 0°C
-12..47°C 4..20mA
Anemometer
BitLine - Anemometer,
Transmitter
Speed sensitivity: 1km/h
Direction sensitivity: 10 degrees
Speed: 0..150km/h
Direction:
0..360degrees
Speed: 4.20mA
Direction: 4..20mA
2.5 Hydraulic circuit and thermal recovery unit
The hydraulic circuit, represented in the next Figure 7, both cools the TJPV cells and recover thermal
energy. It mainly deals of two closed loops integrating four WHEs each. The cold fluid flows through the WHEs
thanks to a magnetic driver gear pump. The flow rate is remotely controlled in the range 500÷5000rpm. At the
end of the loop, the hot fluid reaches a brazed 14 plates heat exchanger (plate surface area of 0.03m2
) for the
heat recover. The water flowing in the second cooling loop and directly feeding the users is heated and it flows
thanks to a further circulation gear pump. In Figure 7, for the sake of simplicity, the users are exemplified by a
tank. Inlet and outlet temperatures in several stages of the circuit are measured through a set of PT100
temperature sensors, while a low volume rotating vane flow meter measures the flow rate. The acquired signals
are processed by the real time remote control system described in previous Paragraph 2.4. Finally, the hydraulic
circuit integrates a two litres expansion vessel, two dearators and a safety valve calibrated to prevent the
pressure to become higher than 0.15MPa.
Primary circuit
Pump
F
Flow meter
Safety
valve
1,5 bar
1 2
4 3
6 5
7 8
Heat exchangers
Frame 2
T
Heat exchangers
Frame 1
D
D
Tank
(Thermal user)
Plates heat
exchanger
Filter
Expansion
tank
Make-up
Water
T
T
Secondary circuit
Pump
T
Flow
Regulating
valve
T
T
T
D
Flow
Regulating
valve
Temperature sensor
Dearator
Non-Return valve
Ball valve
Manual valve
LegendP
P
P
P Manometer
T
T
T
T
Fig. 7: Hydraulic circuit for cell cooling and thermal recovery
III. MANUFACTURING COST ANALYSIS
Despite the proposed prototype is at a research stage of its life cycle and, consequently, it is far from an
optimized large scale production, a realistic analysis of the rising manufacturing costs is, already, feasible. Such
costs represent the initial investment in a solar energy system like the described prototype. A functional
perspective drives the analysis of the rising costs. Direct materials and labour costs are computed separately.
Table II and Figure 8 summarize the key data.
Table II: Prototype manufacturing costs
Description # units/kg Total cost [€]
TJ-PV cells 8 units 36.00
Fresnel lenses 8 units 96.00
Sun tracking system 469.00
Gear reducer 2 units
Chain drive system 2 units
Stepper motor 2 units
Microstepping driver 2 units
Support structure 92.00
Galvanized steel
structure (base, pillar
and shaft)
40kg
Micro-Cogeneration with a Fresnel Solar Concentrator
57
Aluminum frames
(collector)
8kg
Hydraulic circuit 293.20
Circulation pump 1 unit
Heat exchangers 8 units
Plate heat exchanger 1 unit
Deareator 1 unit
Expansion vassel 1 unit
Filter 1 unit
Piping 1 unit
Direct labor cost 200.00
Full production cost 1186.20
3.03% 8.09%
39.54%
7.76%
24.72%
16.86%
TJ-PV cells Fresnel lenses Solar tracking system
Support structure Hydraulic circuit Direct labor cost
Fig. 8: Functional cost analysis, percentages refer to the full manufacturing cost
The solar tracking system and the hydraulic circuit are the two functional modules with the highest
impact on the system global cost. However, such modules allow to track the sun and to recover thermal energy
significantly increasing the power and thermal conversion efficiencies. A trade-off analysis between the
performances of flat plane PV systems and CHP concentrators is necessary to study if the increase of the
conversion efficiency and energy production justify the CHP plant higher cost. Such an analysis represents a
possible future development of the present paper.
IV. FIELD-TESTS AND EXPERIMENTAL CAMPAIGN
An experimental campaign to field-study the proposed prototype is assessed during the 2012 summer
months in Bologna, Italy (latitude 44.51° North, longitude 11.32° East). Three different tests are developed. At
first, the accuracy in sun collimation is analysed as a key condition not to decrease the amount of the collected
solar radiation. The second test focuses on the analysis of a single TJPV cell studying its electric features and
curves when integrated to the proposed prototype. Finally the system global conversion efficiency is
investigated. The key outcomes for each experimental campaign are discussed in the next paragraphs.
4.1 Accuracy in solar tracking
The accuracy of the adopted solar tracking system heavily affects the energy conversion efficiency. In
particular, the electric performance of the TJPV cells strongly depends on the uniformity of the concentrated
radiation on the cell surface and a significant performance decrease happens in case of a non-homogenous
distribution of the solar irradiance flux. Therefore, the feedback loop tracking strategy proposed in the previous
Paragraph 2.4 is field-tested to experimentally investigate its performances in solar collimation. The measure of
the shadow length generated by the collimator stem allows to calculate the angular alignment gap between the
sun and the prototype. Figure 9 clarifies such a concept.
L
S
δ
Fig. 9: Accuracy in solar collimation, shadow related to the angular misalignment
Micro-Cogeneration with a Fresnel Solar Concentrator
58
Eq. 1 correlates the angular misalignment between the sun rays and the solar collector, δ, to the shadow
and the stem length.






 
L
S1
tan (1)
Furthermore, Figure 10 shows two pictures of the solar collimator taken immediately before and after
the actuator switch on, i.e. when the gap is maximum and minimum.
Fig. 10: Shadow before and after the system realignment
The average experimental alignment gap is lower than 0.8° representing an acceptable value according
to the optical properties of the adopted Fresnel lenses.
4.2 TJPV cell electric features
The present second field-test focuses on the analysis of the energy conversion performances of a single
TJPV cell when integrated to the proposed prototype. A set of runs to calculate the experimental I-V, i.e.
current-voltage, and P-V, i.e. power-voltage, curves are assessed under the environmental irradiance conditions
represented in the graph of Figure 11. Particularly, the red curve refers to the global radiation on the horizontal
plane, while the blue one shows the beam fraction on an optimally oriented surface. The monitored parameters
also include the air temperature and the wind speed and direction. During the test, 31.5°C and light wind are
measured.
0
100
200
300
400
500
600
700
800
900
1000
9.00.00 11.00.00 13.00.00 15.00.00 17.00.00
Solarradiation[W/m2]
Time [hh.mm.ss]
Global radiation [W/m2] Beam fraction [W/m2]
Fig. 11: Daily global and beam irradiance measured during TJPV cell analysis
The graph in Figure 12 shows a significant example of the experimental I-V and P-V curves for a
single TJ-PV solar cell integrated to the Fresnel lens prototype. Particularly, the adopted cell extracts a
maximum power of 8.7W when irradiated with a 800x concentrated solar radiation, while the cell conversion
efficiency is equal to 15.8%.
0
1
2
3
4
5
6
7
8
9
10
0 0,5 1 1,5 2 2,5 3
Current[A]-Power[W]
Voltage [V]
Current [A] Power [W]
Fig. 12: Experimental I-V and P-V curves for a single TJPV cell integrated to the prototype
Micro-Cogeneration with a Fresnel Solar Concentrator
59
4.3 Global conversion efficiency analysis
During the third field-test the study of both the prototype power and thermal recovery performances is
assessed. In such test, for the sake of simplicity, only one of the two frames used as solar collectors, is
considered. Consequently, a series of four TJ-PV cells, fixed on a same number of heat exchangers, is adopted.
The following Table III summarizes the key results of two of the most relevant runs.
The experienced electrical conversion efficiency is of about 13%, while the thermal conversion
efficiency is higher than 70% and it increases to 88.65% if the flow rate is higher even if the outlet fluid
temperature is lower.
The low value for the power efficiency is due to several causes. Among them the most relevant is the
high dispersion of the concentrated radiation around the focus points. Therefore, the adoption of a single
concentration optics, i.e. the aforementioned Fresnel lenses, is not adequate, by itself, to reduce the width of the
concentrated light spot that, generally, is higher than the cell surface. Consequently, a fraction of the
concentrated solar radiation does not hit the cell surface, reducing the electrical conversion efficiency and
increasing the thermal energy collected by the receivers. To overcome such a weakness a secondary optics could
be of help to increase the concentrated radiation acceptance angle with a foreseeable raise of the light flux
hitting the cell and to increase, at the same time, the light flux distribution on the cell area. Such an
improvement represents a further development for the proposed prototype.
Table III: Prototype power and thermal performances
Test #1
Power generation Thermal recovery
Direct radiation 779 W/m2
Flow rate 0.252 l/min
Collector area 0.3249 m2
Inlet temperature 28.2 °C
Incident direct radiation 253.10 W Outlet temperature 38.3 °C
Produced electrical power 30.70 W Recovered thermal power 177.57 W
Power conversion efficiency 12.13% Thermal conversion efficiency 70.16%
Test #2
Power generation Thermal recovery
Direct radiation 740 W/m2
Flow rate 0.47 l/min
Collector area 0.3249 m2
Inlet temperature 26.0 °C
Incident direct radiation 240.43 W Outlet temperature 32.5 °C
Produced electrical power 31.00 W Recovered thermal power 213.14 W
Power conversion efficiency 12.89% Thermal conversion efficiency 88.65%
Considering the thermal recovery performances, the field-tests highlight acceptable values for such a
parameter. From a realistic point of view, such performances are affected by two major phenomena. The former
is the high air temperature experienced during the tests, preventing the cooling fluid heat dispersion through the
pipelines. The latter is related to the aforementioned distribution of the concentrated radiation around the focus
point and, particularly, to the rays falling out of the cell surface. Such a fraction of the concentrated radiation is
totally available for heat recovery because it directly hits the heat exchanger surface without the cell
intermediate surface. The introduction of the secondary optics and other devices/strategies to increase the power
conversion efficiency, probably, generates a parallel decrease of the thermal performances. However, the global
conversion efficiency trend, i.e. electrical + thermal, should increase.
V. CONCLUSIONS AND FURTHER RESEARCH
A biaxial Fresnel solar prototype for the distributed micro-cogeneration of heat and power is designed,
developed and preliminary field-tested. The system allows the production of electrical and thermal energy from
the renewable solar source through the innovative concentrating technology. Details about the design choices of
the five functional modules composing to the prototype are provided to study their technical features and their
economic impact on the total manufacturing cost. Furthermore, a preliminary set of field-tests is conducted
during the 2012 summer months in Bologna, Italy. The main purposes of such an experimental campaign are to
verify the accuracy in sun collimation and to evaluate the electrical and thermal conversion efficiency of both a
single InGa/GaAs/Ge multi-junction solar cell and of the whole prototype.
Experimental outcomes highlight an average alignment gap between the sun and the prototype solar
collector lower than 0.8°, representing an acceptable value according to the optical properties of the adopted
Fresnel lenses. Focusing on the conversion performances, both the electric efficiency of a single solar cell and of
Micro-Cogeneration with a Fresnel Solar Concentrator
60
a series of four cells, connected in series, are investigated. In the former test, developed to characterize a single
TJPV cell, the produced power is of 8.7W, while the electrical conversion efficiency is equal to 15.8%. In the
latter test, results highlight an electrical conversion efficiency of about 13%, while the thermal conversion
efficiency depends on the cooling fluid flow rate and outlet fluid temperature. The thermal conversion
performance ranges between 70% and 89%.
Further prototype developments mainly deal with the increase of the prototype electric efficiency. A
secondary optics is certainly of help to increase the concentrated radiation acceptance angle raising the light flux
hitting the cell and the improving its distribution on the cell surface. Finally, the obtained experimental results
and performances can be related to the manufacturing and operative costs to conclude about the technical and
economic profitability of the concentrating technology when integrated to concentrated systems oriented to the
distributed micro-cogeneration from the solar energy source.
ACKNOWLEDGMENT
The authors would like to thank the Fondazione Cassa di Risparmio di Trento e Rovereto the for its
significant support to the project.
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  • 1. International Journal of Engineering Research and Development e-ISSN: 2278-067X, p-ISSN: 2278-800X, www.ijerd.com Volume 6, Issue 7 (April 2013), PP. 52-60 52 Micro-Cogeneration with a Fresnel Solar Concentrator Marco Bortolini1 , Mauro Gamberi2 , Alessandro Graziani1,2 1 Department of Industrial Engineering, University of Bologna, Viale del Risorgimento 2, 40136, Bologna - Italy 2 Department of Management and Engineering, University of Padova, Stradella San Nicola 3, 36100, Vicenza - Italy Abstract:- The technical and economic sustainability of photovoltaic (PV) systems is heavily affected by the cost and performances of the adopted PV cells. Solar concentrators represent an effective alternative to reduce the solar cell surface and, at the same time, to increase the global conversion efficiency. Such systems include optic elements to concentrate the solar radiation to a small area where high-efficiency PV cells are located. Particularly, the adoption of multi-junction cells, e.g. Triple- Junction Photovoltaic (TJPV) cells, is encouraged to increase the power conversion performance. This paper presents full details about the design and operating features of a Fresnel lens solar concentrator for the micro-cogeneration of electrical power and thermal energy. The two axis controlled prototype integrates five different functional modules to guarantee the required features. Basically, the TJPV cells allow power production, while eight Water Heat Exchangers (WHEs) are installed for both the cell cooling and the recovery of thermal energy. The operative concentration factor is up to 800x through eight non-imaging Fresnel lenses integrated to the solar collector. Furthermore, a two axes solar tracker assures sun collimation during day-time. The prototype control, together with the monitoring of the environmental conditions and the energy conversion performances, is provided thanks to a semi-automatic real-time interface developed adopting LabView© Integrated Development Environment (IDE). A set of preliminary field-tests is assessed to study both the solar collimation accuracy and the prototype overall energy performances. The obtained evidences are presented and fully discussed in this paper. Keywords:- concentrator system, distributed micro-cogeneration, Fresnel lens, solar energy, solar tracking. I. INTRODUCTION Photovoltaic (PV) silicon solar cells generally produce electricity with a conversion efficiency lower than 26% [1], while multi-junction solar cells, III–V components based, reach values close to 42% [2][3] and represent, nowadays, a performing solution to convert the sun rays to power energy. Unfortunately, due to their high cost, these cells are not convenient for standard flat-plane modules. Crystalline silicon represents, actually, the most adopted material to produce PV modules. The concentrating solar technology allows to reduce the receiver surface due to the concentration of the sun rays to a small area, i.e. focus point. Consequently, in such energy plants, the adoption of multi-junction solar cells becomes feasible and potentially profitable [4]. Zubi et al. [5] present the state of the art of high concentration photovoltaics. These energy conversion systems adopt parabolic mirrors or lenses to convey the sun rays to the solar receiver. El Gharbi et al. [6] analyze and compare such optic technologies, while Xie et al. [7] and Chemisana et al. [8] focus and review the applications integrating Fresnel lenses. Sonneveld et. al [9] and Chemisana [10] review and describe building integrated concentrating PV systems highlighting the current state of the art and the possible future scenarios. Solar concentration systems generally require a cooling circuit to control the receiver temperature preventing damages to the cells and the decrease of their conversion efficiency level. Chemisana et al. [11] estimate an average decrease of the cell electrical performances equal to 0.14% per Celsius degree. Even if a cooling hydraulic circuit is often necessary, nowadays, few applications integrate a thermal recovery unit to solar concentrators. Combined heat and power (CHP) systems are not often developed, especially for small size solar energy systems, i.e. micro-cogeneration, while a large number of contributions consider CHP plants integrated to plane modules. Immovilli et al. [12] focus this aspect in deep. Finally, solar concentrators are able to capture only the beam fraction of the solar radiation. A sun tracking system represents a crucial device to increase the solar conversion efficiency. Aim of this device is to guarantee the best collimation between the solar collector and the sun, from sunrise to sunset, so that the former is always orthogonal to the direction of the sun rays [13]. Bortolini et al. describe the design and test of a sun tracking system based on a feedback control algorithm applied to a Fresnel lens small scale module [14][15].
  • 2. Micro-Cogeneration with a Fresnel Solar Concentrator 53 Aim of this paper is to present the design, development and field-test of a solar concentrating prototype for the distributed micro-cogeneration of heat and power. The system integrates a solar collector, to concentrate the solar radiation, a set of eight receivers, including high efficiency triple junction photovoltaic (TJPV) cells, for power generation, and a same number of water heat exchangers (WHEs) for the cell cooling and the thermal recovery. To increase the global conversion efficiency, a biaxial solar tracker is installed and properly controlled. The developed energy system allows to study the electric and thermal conversion efficiencies together with an assessment of the solar collimation accuracy. Furthermore, an analysis of the expected manufacturing costs highlights the crucial drivers affecting an investment in such solar energy plants. The reminder of this paper is organized as follows: the next Section 2 describes the developed prototype, giving full details about its functional modules. Section 3 introduces the aforementioned economic analysis of the system manufacturing costs, while, in Section 4, the outcomes of a set of field-tests are discussed highlighting the perspectives for such an energy system. Conclusions are drown in Section 5 together with suggestions for further research and the prototype improvement. II. SOLAR CONCENTRATOR PROTOTYPE DESCRIPTION The following Figure 1 shows a picture of the developed prototype. Fig. 1: Developed Fresnel solar prototype The overall dimensions are, approximately, of 1.6x1.7x2m height and the weight is of 120kg. The solar conversion system allows the CHP production due to the refraction of solar radiation. A set of eight squared 330×330mm Fresnel lenses, fixed on a reticular frame, made of several welded aluminum squared profiles, i.e. the solar collector, concentrates the incident radiation on an equivalent number of solar receivers located in correspondence of the lens foci. Each of them includes a high efficiency TJPV solar cell installed on a WHE with the purpose of both cell cooling and thermal recovery. Furthermore, the biaxial solar tracker guarantees the highest captation of solar radiation during the day by aligning the system position to the direction of the incident sun rays. The solar tracker consists of two mechanical actuators able to rotate both the collector and the receiver along two solar coordinates, i.e. the azimuthal and zenithal axes of motion, so that the surface of the Fresnel lenses, i.e. the solar collector, is always orthogonal to the direction of the incident radiation. An electronic remote controller implements a closed loop algorithm for solar tracking. At last, the hydraulic circuit integrated to the prototype allows the cooling of the cells and the heat recovery supplying the cooling fluid, i.e. purified water, to the WHEs. The following five functional modules are integrated to the prototype: - support steel structure; - solar collector and receivers; - solar tracking system; - real-time motion control and monitoring system; - hydraulic circuit for cell cooling and thermal recovery. Further details about each of them are provided in the next paragraphs of this Section together with a quantitative description of the design choices. 2.1 Support steel structure The support structure of the developed prototype is made of two elements, both realized with galvanized steel, i.e. the support base and the vertical pillar (see Figure 1). The former, whose dimensions are 1.6×1.0m, prevents the tip over of the whole plant and it is made of four squared 50×50mm welded tubular profiles. A 320×320mm galvanized steel plate is screwed in the centre of the base and supports the latter
  • 3. Micro-Cogeneration with a Fresnel Solar Concentrator 54 structural element, i.e. the vertical pillar. Its height is of 1.4m and the diameter of 140mm. On top of the pillar it is located a 1.6m horizontal shaft supporting the reticular solar collector, integrating the Fresnel lenses and the receivers. 2.2 Solar collector and receivers The designed solar collector detects the incident radiation on a wide surface and concentrates it to a smaller area, i.e. the focus point, where the receivers, including the TJPV solar cells, are located. The ratio between the collector and the receiver areas is known as the geometric concentration factor. The developed prototype includes eight different collector + receiver modules. Each of them integrates a commercial 330×330mm PMMA Fresnel lens and an aluminium WHE with up to four 10×10mm InGa/GaAs/Ge TJPV cell (ηnom = 35% measured in standard temperature and irradiation conditions). Figure 2 shows a picture and a 3D render of the described receiver. The electric and hydraulic connections of both the cells and the WHEs are in series, while the maximum lens concentration factor is of 800x. Fig. 2: Solar receiver integrating the TJPV solar cells Each WHE presents one entry and two exits holes and its design increases the heat exchange between the cooling fluid and the aluminium plate where the cell is fixed. The inlet flow hits perpendicularly the portion of the WHE surface where the TJPV cell is located, while the exit holes are laterally located. The overall heat exchange surface is, approximately, of 64cm2 . To correctly support both the lenses and the receivers a metallic reticular structure is designed. Two frames are realized. Each of them integrates four modules and its dimensions are of 666×666×400mm, accordingly to the Fresnel lens size and their focal distance, equal to 350mm. Finally, a set of metal panels, located on bottom an lateral surfaces of each frame, protects the receivers preventing damages. 2.3 Solar tracking system To maximize the captation of the solar radiation, the solar tracking system guarantees an accurate collimation between the prototype and the sun during the whole day. Two distinct cinematic mechanisms assure the biaxial motion of the prototype. Both mechanisms adopt a stepper motor as the actuator. Its holding torque is of 3Nm, the phase current of 4.2A DC and the angular step resolution is of 1.8 degrees. Each actuator is coupled to a gear reducer (gear ratio equal to 100) and to a further chain drive motion transmission system (gear ratio equal to 4) as in Figure 3. Globally, the angular resolution is close to 10-3 degrees per step. The tracking mechanisms are installed in two different positions: for the zenithal axis of motion the tracker is located on a plate on top of the pillar and it is directly coupled to the shaft that supports the reticular frames containing the lenses and the receivers. On the contrary, the azimuthal tracker is close to the bottom of the vertical pillar and the transmission of motion is made thanks to a vertical shaft coaxial to the pillar and placed inside it. Finally, a real time remote controller, implementing the closed loop algorithm described in the following, manages the motion control. Two metal capsules are used to protect each tracking mechanism from the rain and other atmospheric agents. Fig. 3: Zenithal and azimuthal tracking mechanisms
  • 4. Micro-Cogeneration with a Fresnel Solar Concentrator 55 2.4 Real-time motion control and monitoring system The developed prototype integrates a real-time remote control platform for the biaxial regulation and the cyclic measure of both the environmental conditions and the energy conversion parameters. Such a platform is developed with LabView© Integrated Development Environment (IDE) and it runs on a NI C-RIO real-time auxiliary industrial module. The next Figure 4 proposes the key concept of the feedback loop to control the zenithal and azimuthal motion axes. Output sun tracking Remote controller Microstepping driver Stepper motor Phototransistors Input setpoint Fig. 4: Feedback control loop adopting phototransistors The remote controller implements an iterative algorithm based on the difference between the transduced current signals, measured by a set of four phototransistors used as solar irradiance sensors, and properly integrated to the solar collimator represented in the next Figure 5. For each motion axis, the difference between the transduced signals is correlated to the misalignment between the sun rays and the current system position. As a consequence, if the alignment gap is out of a given tolerance the system needs to be realigned. The microstepping driver modulates the power signal of a 24 V DC generator and it supplies the stepper motors rotating the solar collector until the alignment gap is back to the defined tolerance range. The angular resolution of about 10-3 degrees per step assures high accuracy in daily sun collimation. Further details about the real-time control strategy are in Bortolini et al. [14][15]. The remote controller further monitors the most relevant environmental and energetic parameters to evaluate the plant performances and to calculate the aggregate power and thermal conversion efficiencies. The profiles of the global and beam radiation, the air temperature, the wind speed and direction are traced together with the produced electrical power and the recovered thermal energy. Fig. 5: Solar collimator for biaxial tracking Figure 6 shows the auxiliary weather station adopted to monitor the major weather parameters and the pyrheliometer for the beam radiation measure. Details about the adopted sensors are in Table I. Fig. 6: Weather station and the pyrheliometer Table I: Features of the adopted environmental sensors Sensor Details Adopted operative range Output signal range
  • 5. Micro-Cogeneration with a Fresnel Solar Concentrator 56 Pyranometer Delta Ohm - LP Pyra 03AC Sensitivity: 17.09mV/(kW/m2 ) Impedance: 37.6Ω 0..2000W/m2 4..20mA Pyrheliometer Kipp & Zonen - CHP1, AMPBOX Sensitivity: 8.03μV/(kW/m2 ) Impedance: 30.3Ω 0..1600W/m2 4..20mA Air thermometer Italcoppie Pt-100, Transmitter Accuracy: ±0.12Ω at 0°C -12..47°C 4..20mA Anemometer BitLine - Anemometer, Transmitter Speed sensitivity: 1km/h Direction sensitivity: 10 degrees Speed: 0..150km/h Direction: 0..360degrees Speed: 4.20mA Direction: 4..20mA 2.5 Hydraulic circuit and thermal recovery unit The hydraulic circuit, represented in the next Figure 7, both cools the TJPV cells and recover thermal energy. It mainly deals of two closed loops integrating four WHEs each. The cold fluid flows through the WHEs thanks to a magnetic driver gear pump. The flow rate is remotely controlled in the range 500÷5000rpm. At the end of the loop, the hot fluid reaches a brazed 14 plates heat exchanger (plate surface area of 0.03m2 ) for the heat recover. The water flowing in the second cooling loop and directly feeding the users is heated and it flows thanks to a further circulation gear pump. In Figure 7, for the sake of simplicity, the users are exemplified by a tank. Inlet and outlet temperatures in several stages of the circuit are measured through a set of PT100 temperature sensors, while a low volume rotating vane flow meter measures the flow rate. The acquired signals are processed by the real time remote control system described in previous Paragraph 2.4. Finally, the hydraulic circuit integrates a two litres expansion vessel, two dearators and a safety valve calibrated to prevent the pressure to become higher than 0.15MPa. Primary circuit Pump F Flow meter Safety valve 1,5 bar 1 2 4 3 6 5 7 8 Heat exchangers Frame 2 T Heat exchangers Frame 1 D D Tank (Thermal user) Plates heat exchanger Filter Expansion tank Make-up Water T T Secondary circuit Pump T Flow Regulating valve T T T D Flow Regulating valve Temperature sensor Dearator Non-Return valve Ball valve Manual valve LegendP P P P Manometer T T T T Fig. 7: Hydraulic circuit for cell cooling and thermal recovery III. MANUFACTURING COST ANALYSIS Despite the proposed prototype is at a research stage of its life cycle and, consequently, it is far from an optimized large scale production, a realistic analysis of the rising manufacturing costs is, already, feasible. Such costs represent the initial investment in a solar energy system like the described prototype. A functional perspective drives the analysis of the rising costs. Direct materials and labour costs are computed separately. Table II and Figure 8 summarize the key data. Table II: Prototype manufacturing costs Description # units/kg Total cost [€] TJ-PV cells 8 units 36.00 Fresnel lenses 8 units 96.00 Sun tracking system 469.00 Gear reducer 2 units Chain drive system 2 units Stepper motor 2 units Microstepping driver 2 units Support structure 92.00 Galvanized steel structure (base, pillar and shaft) 40kg
  • 6. Micro-Cogeneration with a Fresnel Solar Concentrator 57 Aluminum frames (collector) 8kg Hydraulic circuit 293.20 Circulation pump 1 unit Heat exchangers 8 units Plate heat exchanger 1 unit Deareator 1 unit Expansion vassel 1 unit Filter 1 unit Piping 1 unit Direct labor cost 200.00 Full production cost 1186.20 3.03% 8.09% 39.54% 7.76% 24.72% 16.86% TJ-PV cells Fresnel lenses Solar tracking system Support structure Hydraulic circuit Direct labor cost Fig. 8: Functional cost analysis, percentages refer to the full manufacturing cost The solar tracking system and the hydraulic circuit are the two functional modules with the highest impact on the system global cost. However, such modules allow to track the sun and to recover thermal energy significantly increasing the power and thermal conversion efficiencies. A trade-off analysis between the performances of flat plane PV systems and CHP concentrators is necessary to study if the increase of the conversion efficiency and energy production justify the CHP plant higher cost. Such an analysis represents a possible future development of the present paper. IV. FIELD-TESTS AND EXPERIMENTAL CAMPAIGN An experimental campaign to field-study the proposed prototype is assessed during the 2012 summer months in Bologna, Italy (latitude 44.51° North, longitude 11.32° East). Three different tests are developed. At first, the accuracy in sun collimation is analysed as a key condition not to decrease the amount of the collected solar radiation. The second test focuses on the analysis of a single TJPV cell studying its electric features and curves when integrated to the proposed prototype. Finally the system global conversion efficiency is investigated. The key outcomes for each experimental campaign are discussed in the next paragraphs. 4.1 Accuracy in solar tracking The accuracy of the adopted solar tracking system heavily affects the energy conversion efficiency. In particular, the electric performance of the TJPV cells strongly depends on the uniformity of the concentrated radiation on the cell surface and a significant performance decrease happens in case of a non-homogenous distribution of the solar irradiance flux. Therefore, the feedback loop tracking strategy proposed in the previous Paragraph 2.4 is field-tested to experimentally investigate its performances in solar collimation. The measure of the shadow length generated by the collimator stem allows to calculate the angular alignment gap between the sun and the prototype. Figure 9 clarifies such a concept. L S δ Fig. 9: Accuracy in solar collimation, shadow related to the angular misalignment
  • 7. Micro-Cogeneration with a Fresnel Solar Concentrator 58 Eq. 1 correlates the angular misalignment between the sun rays and the solar collector, δ, to the shadow and the stem length.         L S1 tan (1) Furthermore, Figure 10 shows two pictures of the solar collimator taken immediately before and after the actuator switch on, i.e. when the gap is maximum and minimum. Fig. 10: Shadow before and after the system realignment The average experimental alignment gap is lower than 0.8° representing an acceptable value according to the optical properties of the adopted Fresnel lenses. 4.2 TJPV cell electric features The present second field-test focuses on the analysis of the energy conversion performances of a single TJPV cell when integrated to the proposed prototype. A set of runs to calculate the experimental I-V, i.e. current-voltage, and P-V, i.e. power-voltage, curves are assessed under the environmental irradiance conditions represented in the graph of Figure 11. Particularly, the red curve refers to the global radiation on the horizontal plane, while the blue one shows the beam fraction on an optimally oriented surface. The monitored parameters also include the air temperature and the wind speed and direction. During the test, 31.5°C and light wind are measured. 0 100 200 300 400 500 600 700 800 900 1000 9.00.00 11.00.00 13.00.00 15.00.00 17.00.00 Solarradiation[W/m2] Time [hh.mm.ss] Global radiation [W/m2] Beam fraction [W/m2] Fig. 11: Daily global and beam irradiance measured during TJPV cell analysis The graph in Figure 12 shows a significant example of the experimental I-V and P-V curves for a single TJ-PV solar cell integrated to the Fresnel lens prototype. Particularly, the adopted cell extracts a maximum power of 8.7W when irradiated with a 800x concentrated solar radiation, while the cell conversion efficiency is equal to 15.8%. 0 1 2 3 4 5 6 7 8 9 10 0 0,5 1 1,5 2 2,5 3 Current[A]-Power[W] Voltage [V] Current [A] Power [W] Fig. 12: Experimental I-V and P-V curves for a single TJPV cell integrated to the prototype
  • 8. Micro-Cogeneration with a Fresnel Solar Concentrator 59 4.3 Global conversion efficiency analysis During the third field-test the study of both the prototype power and thermal recovery performances is assessed. In such test, for the sake of simplicity, only one of the two frames used as solar collectors, is considered. Consequently, a series of four TJ-PV cells, fixed on a same number of heat exchangers, is adopted. The following Table III summarizes the key results of two of the most relevant runs. The experienced electrical conversion efficiency is of about 13%, while the thermal conversion efficiency is higher than 70% and it increases to 88.65% if the flow rate is higher even if the outlet fluid temperature is lower. The low value for the power efficiency is due to several causes. Among them the most relevant is the high dispersion of the concentrated radiation around the focus points. Therefore, the adoption of a single concentration optics, i.e. the aforementioned Fresnel lenses, is not adequate, by itself, to reduce the width of the concentrated light spot that, generally, is higher than the cell surface. Consequently, a fraction of the concentrated solar radiation does not hit the cell surface, reducing the electrical conversion efficiency and increasing the thermal energy collected by the receivers. To overcome such a weakness a secondary optics could be of help to increase the concentrated radiation acceptance angle with a foreseeable raise of the light flux hitting the cell and to increase, at the same time, the light flux distribution on the cell area. Such an improvement represents a further development for the proposed prototype. Table III: Prototype power and thermal performances Test #1 Power generation Thermal recovery Direct radiation 779 W/m2 Flow rate 0.252 l/min Collector area 0.3249 m2 Inlet temperature 28.2 °C Incident direct radiation 253.10 W Outlet temperature 38.3 °C Produced electrical power 30.70 W Recovered thermal power 177.57 W Power conversion efficiency 12.13% Thermal conversion efficiency 70.16% Test #2 Power generation Thermal recovery Direct radiation 740 W/m2 Flow rate 0.47 l/min Collector area 0.3249 m2 Inlet temperature 26.0 °C Incident direct radiation 240.43 W Outlet temperature 32.5 °C Produced electrical power 31.00 W Recovered thermal power 213.14 W Power conversion efficiency 12.89% Thermal conversion efficiency 88.65% Considering the thermal recovery performances, the field-tests highlight acceptable values for such a parameter. From a realistic point of view, such performances are affected by two major phenomena. The former is the high air temperature experienced during the tests, preventing the cooling fluid heat dispersion through the pipelines. The latter is related to the aforementioned distribution of the concentrated radiation around the focus point and, particularly, to the rays falling out of the cell surface. Such a fraction of the concentrated radiation is totally available for heat recovery because it directly hits the heat exchanger surface without the cell intermediate surface. The introduction of the secondary optics and other devices/strategies to increase the power conversion efficiency, probably, generates a parallel decrease of the thermal performances. However, the global conversion efficiency trend, i.e. electrical + thermal, should increase. V. CONCLUSIONS AND FURTHER RESEARCH A biaxial Fresnel solar prototype for the distributed micro-cogeneration of heat and power is designed, developed and preliminary field-tested. The system allows the production of electrical and thermal energy from the renewable solar source through the innovative concentrating technology. Details about the design choices of the five functional modules composing to the prototype are provided to study their technical features and their economic impact on the total manufacturing cost. Furthermore, a preliminary set of field-tests is conducted during the 2012 summer months in Bologna, Italy. The main purposes of such an experimental campaign are to verify the accuracy in sun collimation and to evaluate the electrical and thermal conversion efficiency of both a single InGa/GaAs/Ge multi-junction solar cell and of the whole prototype. Experimental outcomes highlight an average alignment gap between the sun and the prototype solar collector lower than 0.8°, representing an acceptable value according to the optical properties of the adopted Fresnel lenses. Focusing on the conversion performances, both the electric efficiency of a single solar cell and of
  • 9. Micro-Cogeneration with a Fresnel Solar Concentrator 60 a series of four cells, connected in series, are investigated. In the former test, developed to characterize a single TJPV cell, the produced power is of 8.7W, while the electrical conversion efficiency is equal to 15.8%. In the latter test, results highlight an electrical conversion efficiency of about 13%, while the thermal conversion efficiency depends on the cooling fluid flow rate and outlet fluid temperature. The thermal conversion performance ranges between 70% and 89%. Further prototype developments mainly deal with the increase of the prototype electric efficiency. A secondary optics is certainly of help to increase the concentrated radiation acceptance angle raising the light flux hitting the cell and the improving its distribution on the cell surface. Finally, the obtained experimental results and performances can be related to the manufacturing and operative costs to conclude about the technical and economic profitability of the concentrating technology when integrated to concentrated systems oriented to the distributed micro-cogeneration from the solar energy source. ACKNOWLEDGMENT The authors would like to thank the Fondazione Cassa di Risparmio di Trento e Rovereto the for its significant support to the project. REFERENCES [1]. M.A. Green, K. Emery, Y. Hishikawa, W. Warta, "Solar cell efficiency tables (version 36)", Progress in photovoltaics: research and applications, 18, 346-352, 2010. [2]. W. Guter, J. Schone, S.P. Philipps, M. Steiner, G. Siefer, A. Wekkeli, E. Welser, E. Oliva, A.W. Bett, F. Dimroth, "Current-matched triple-junction solar cell reaching 41.1% conversion efficiency under concentrated sunlight", Applied Physics Letters, 94(22), 1-3. [3]. J.W. Pan, J.Y. Huang, C.M. Wang, H.F. Houng, Y.P. Liang, "High concentration and homogenized Fresnel lens without secondary optics element", Optics communications, 284, 4283-4288, 2011. [4]. S.R. Wenham, M.A. Green, M.E. Watt, R. Corkish, "Applied photovoltaics" , Earthscan, London, 2007. [5]. G. Zubi, J. Bernal-Agustín, G.V. Fracastoro, "High concentration potovoltaic systems applying III-V cells", Renewable and Sustainable Energy Reviews, 13, 2645-2652, 2009. [6]. N. El Gharbi, H. Derbal, S. Bouaichaoui, N. Said, "A comparative study between parabolic trough collector and linear Fresnel reflector technologies", Energy procedia, 6, 565-572, 2011. [7]. W.T. Xie, Y.J. Dai, R.Z. Wang, K. Sumathy, "Concentrated solar energy applications using Fresnel lenses: A review", Renewable and Sustainable Energy Reviews, 15, 2588-2606, 2011. [8]. D. Chemisana, M. Ibáñez, J. Barrau, "Comparison of Fresnel concentrators for building integrated photovoltaics", Energy conversion and management, 50, 1079-1084, 2009. [9]. P.J. Sonneveld, G.L.A.M. Swinkels, B.A.J. Van Tujil, H.J.J. Janssen, J. Campen, G.P.A. Bot, G.P.A, "Performance of a concentrated photovoltaic energy system with static linear Fresnel lenses" Solar energy, 85, 432-442., 2011. [10]. D. Chemisana, "Building Integrated Concentrating Photovoltaics: A review", Renewable and Sustainable Energy Reviews, 15, 603-611, 2011. [11]. D. Chemisana, M. Ibáñez, J.I. Rosell, "Characterization of a photovoltaic-thermal module for Fresnel linear concentrator", Energy conversion and management, 52, 3234-3240, 2011. [12]. F. Immovilli, A. Bellini, C. Bianchini, G. Franceschini, "Solar trigeneration for residential applications, a feasible alternative to traditional microcogeneration and trigeneration plants", IEEE Industry Applications Society Annual Meeting, 1-8, 2008. [13]. V.D. Rumyantsev, V.P. Khvostikov, O.A. Khvostikova, P.Y. Gazaryan, N.A. Sadchikov, A.S. Vlasov, E.A. Ionova, V.M. Andreev", Structural features of a solar TPV systems", 6th conference on thermophotovoltaic generation of electricity, Friburg, 2004. [14]. M. Bortolini, M. Gamberi, R. Accorsi, R. Manzini, C. Mora, A. Regattieri, "Sun tracking system design and testing for solar energy conversion systems", Proceedings of XV Summer School Francesco Turco, Impianti Industriali Meccanici, Monopoli Bari, 257-262, 2010. [15]. M. Bortolini, M. Gamberi, A. Graziani, M. Manfroni, "An Hybrid Strategy for the Bi-Axial Sun Tracking of Solar Energy Conversion Systems", Journal of Control Engineering and Technology, Vol.2 Issue 4, 130-142, 2012.