# Investigation of Photovoltaic Assisted Misting System Application

Authors: Hikmet Esen; Omer Tuna
Journal: International Journal of Photoenergy
 (2015)

---

## Abstract

In this study, for the first time in the literature, solar assisted cooler with misting system established on an arbor with an area of 24 m2 and georeferenced in Elazig (38.6775° N, 39.1707° E), Turkey, is presented. Here, we present a system that reduces interior temperature of the arbor while increasing humidity. Also, the system generates required electricity with a solar photovoltaic module to power pressurized water pump through an inverter and stores it in a battery for use when there is no sunlight. The model of the photovoltaic module was implemented using a Matlab program. As a result of being an uncomplicated system, return on investment for the system is 3.7 years.


---

## Body

## 1. Introduction

The cooling techniques can be categorized into several forms, including pad and fan, misting, and fog. Each cooling technique utilizes the evaporative cooling (EC) process to decrease air temperature, as well as fan ventilation for exchanging the moist air with dry outside air. The impression of each system is highly dependent on the ambient air-water vapor properties. Low air humidity will increase the cooling capacity of the evaporative system, while higher humidity will decrease cooling. In addition, cooling effect is dependent on the nozzle design and system operating pressure, which directly influences evaporation of the droplet due to the droplet size delivered from the nozzle. Water quality is important for the long term effectiveness and required maintenance of EC systems [1].Providing thermal comfort conditions, the comparison of the economic and environmental aspects of evaporative and vapor compression cooling systems with the same capacity shows that EC systems have less operating cost and in terms of equivalent CO2 emissions are more environmental compared to vapor compression cooling systems.The EC system includes direct EC type, indirect EC type, two-stage EC or indirect direct EC, and hybrid EC type. Different air condition should employ different EC type. Air in contact with water directly is the feature of direct EC type (misting) [2].Recently, the direct and indirect evaporative cooling (EC) system has attracted more and more attention due to its superiority of high energy efficiency and environmental friendliness [3–17]. Wong and Chong [18] examined the difference in thermal comfort levels provided by the misting fan system as well as the possible increase in biological pollutants due to the increase in relative humidity brought about by the generation of mists. Katsoulas et al. [19] investigated effect of misting on transpiration and conductance of a greenhouse rose canopy. Dombrovsky et al. [20] developed a model for the hemispherical transmittance of direct and scattered solar radiation from a cloudless atmosphere by a mist layer of water droplets in order to investigate the potential of water misting systems to serve as a protection from solar irradiation with particular emphasis on harmful UV radiation. Sethi and Sharma [21] reviewed the available international cooling technologies for agricultural greenhouses and discussed the representative applications of each technology. Burger [22] examined the intermittent mist control via solar cells. Hourly data were obtained from UC Davis California Irrigation Management and Information System station for comparisons between Weather Watcher responses and evapotranspiration or 1 solar radiation. Zhang et al. [23] have examined continual- and intermittent-spray cooling heat transfer experiments on a flat surface to study the effects of the spray cycle, duty ratio, and spray time. The results showed that an optimal spray cycle and optimal duty ratio make more efficient use of the coolant in intermittent-spray cooling. Atieh and Al Shariff [14] demonstrated for the first time to our knowledge a misting system that is powered by solar energy. The system was used to cool down an open area in Medina, Saudi Arabia. The ambient and surrounding temperatures were measured and compared for different timing signals that were applied to the misting system. The used solar panel performance was evaluated for different loads and tilting settings. The return on investment for the misting system was found to be about two years and a half. Eicker et al. [24] have examined economic evaluation of solar thermal and photovoltaic cooling systems through simulation in different climatic conditions: an analysis in three different cities in Europe. Ban-Weiss et al. [25] have examined electricity production and cooling energy savings from installation of a building-integrated photovoltaic roof on an office building.Since air conditioning systems have been introduced, they became part of daily life in many areas. However, air conditioning systems are relatively expensive (large portion of the electrical bill in hot weather regions is contributed to the energy consumed by the air conditioners), and they are not environmentally friendly. In addition to that, they are inefficient when used in outdoor and open areas such as arbor, streets, and parks. Thus new technologies become necessary to develop an efficient, low cost, environmentally friendly system that is capable of reducing the temperature using low cost components that are easy to run and maintain and flexible to be utilized [14].In this study, solar assisted cooling system is implemented in an arbor of a site in Elazig. Two solar panels, each of which has a power of 150 W, are used to power up the misting system. The temperature distribution of the arbor area was investigated by thermal camera images. Modeling of the solar cell used in the study is also conducted. This system is environmentally friendly, inexpensive, and healthy. If any cooling system is aimed at being applicable, it must be suitable by being economically feasible. Therefore return on investment of the proposed system is evaluated lastly.


## 2. Experimental Methodology and System

### 2.1. Concept and Advantages of Water Misting System

Water misting systems work by forcing water via a high pressure pump and tubing through a brass and stainless steel mist nozzle that has an orifice of about 5 micrometres, thereby producing a microfine mist. The water droplets that create the mist are so small that they instantly flash-evaporate. Flash evaporation can reduce the surrounding air temperature by as much as 35°F (20°C) in just seconds. For Patio systems, it is ideal to mount the mist line approximately 8 to 10 feet (2.4 to 3.0 m) above the ground for optimum cooling. Misting is used for applications such as flowerbeds, pets, livestock, kennels, insect control, odor control, zoos, veterinary clinics, cooling of produce, and greenhouses [2].The technology used is direct EC which is efficient and productive. Misting systems are also used because the mist that is produced is so fine that there is no chance of the surrounding area becoming wet. The effect of this system compares to that of standing in middle of a fog. One remains cooler but does not become wet. A person can only become wet from the system if they stand 15.24 cm away from the water nozzle. The water produced from this system is also hygienic. This is because the water is filtered of impurities before it is released through the nozzles. It is also economical because it uses an average of four to eight liters per hour. There are also many outstanding features and benefits that water mist system offers which are [26](i)
being suitable for a wide range of outdoor applications,
(ii)
requiring small space and being very light,
(iii)
being environmentally friendly,
(iv)
being nontoxic,
(v)
having highly efficient heat suppression capability,
(vi)
using limited quantity of water,
(vii)
being cost-effective compared to other heat reducing equipment like air conditions,
(viii)
driving away many insects like mosquitoes, flies, and wasps from the area,
(ix)
cleaning the surrounding area from dust and other common pollutants.The appearance of typical misting system during the study is shown in Figure1.Figure 1
Typical representation of misting systems.


### 2.2. Weather in Elazig

The mean sunshine duration and outside air temperature which is higher than other months are available in July for Elazig. Relative humidity is lowest in this month. For the province of Elazig meteorological values are given in Table1.Table 1
The average values over many years for Elazig city (1960–2012) [27].
Meteorological factors
Months
Jan.
Feb.
Mar.
Apr.
May.
Jun.
Jul.
Aug.
Sep.
Oct.
Nov.
Dec.
I
−0.8
0.5
5.8
11.9
17.2
22.9
27.3
26.8
21.6
14.6
7.1
1.9
II
2.9
4.9
11.1
17.7
23.6
29.6
34.3
34.1
29.4
21.7
12.6
5.6
III
−3.9
−3.1
1.0
6.4
10.7
15.2
19.3
19.0
14.3
9.0
3.0
−1.1
IV
2.4
3.4
5.2
6.5
9.1
11.4
12.2
11.4
9.5
7.1
4.4
2.3
V
11.9
11.9
12.2
12.7
10.6
4.3
1.1
0.8
2.2
7.2
9.1
11.7
VI
75
72
64
56
49
36
30
30
35
51
69
76
I: the average temperature (°C), II: the average high temperature (°C), III: the average minimum temperature (°C), IV: average sunshine hours (h), V: average number of rainy days (day), and VI: average relative humidity (%).For a period of 3 hours of Elazig outside temperature changes are given in Figure2 for the month of July. The solar radiation (W/m2) values obtained for 10 days with solarimeter ​​are shown in Figure 3.Figure 2
Hourly average outdoor air temperatures in the month of July.Figure 3
The solar radiation values obtained for 10 days in the month of July.The data for the other years was also reviewed and similar conclusions were achieved. These results provide great evidence that the misting system is well suited for operation in Elazig, Turkey.


### 2.3. Solar Energy Subsystem and Its Modeling

It will be useful to analyze PV panel performance before analyzing general performance of the system. Therefore, characteristics of solar panel are considered under a separated heading in this study. A PV panel consists of generator solar cells, junctions, protector parts, and secondary elements. Solar cells consist ofp-n junctions that are aggregated on a thin silicon circuit sheet or on a semiconductor layer.I
-
V outcome characteristics of a solar panel in the dark are similar to exponential characteristics of a diode. When solar energy (photons) arrives in solar cell with an amount of energy greater than band gap energy of the semiconductor, collision occurs and then electron pair arises. These carriers are swept to a separated area under the influence of interior electric field ofp-n junctions and create a current proportional to incident radiation. This current flows to external circuit when short circuit occurs in the panel cell and it is directed to interior parallel circuit byp-n junction diode when the circuit is open. Thus, characteristics of this diode shape the open circuit characteristics of the panel cell. Therefore, the simplest solar cell equivalent circuit is a parallel current source with the diode. Output acquired from current source is directly proportional to radiation on the panel cell. Solar cell is not an active element in dark. It performs as a diode. It does not generate current or voltage. However, if it is connected to an external source, it generates a current named as “diode current” or “dark current” [28–33].Diode determines theI
-
V characteristics of the cell. In order to achieve the best chart curve match-up, the diode ideality factor and a single parallel diode were used. This model is the simplified version of two-diode model by Gow and Manning [34]. Solar cell circuit diagram is shown in Figure 4.Figure 4
Solar cell circuit diagram.I
ph: photocurrent, I
0: diode saturation current, R
s: serial resistance, R
sh: shunt resistance, T: ambient temperature, G: ambient irradiance, and V: output voltage.I
0 and I
ph depend on temperature. R
s is included in the circuit in order to explain the description of maximum power point and open circuit voltage better. R
s refers to interior losses caused by flow of the current. R
sh is parallel with the diode. R
sh is usually negligible and is not shown in the equivalent circuit. R
s
=
R
sh
=
0 in the ideal panel cell [34].I
-
V characteristics of a solar panel can be calculated by the equations given. Middle level complexity model was used in this study. Consider(1)
I
ph
=
I
d
+
I
,
(2)
I
d
=
I
0
e
q
(
V
+
I
R
s
)
/
n
k
T
-
1
,
(3)
I
=
I
ph
-
I
0
e
q
V
+
I
R
s
/
n
k
T
-
1
,where q is elementary charge (1.602 × 10−19 C), k is Boltzmann constant (1.381 × 10−23 J/K), and n is diode ideality factor; it depends on the PV technology as it is shown in Table 2.Table 2
Ideality factor of several PV types.
PV type
n
Monocrystalline silicon
1.2
Polycrystalline silicon
1.3
Cadmium telluride
1.5
Gallium arsenide
1.3
Amorphous silicon
1.8Equations (2), (3), and (4) are not enough to draw the I
-
V curve: I
ph, V
oc, and I
0 are required to complete the model. Consider(4)
I
ph
=
I
ph
T
ref
+
K
0
T
-
T
ref
,
(5)
I
ph
T
ref
=
I
sc
T
ref
G
G
ref
,
(6)
I
0
T
ref
=
I
sc
T
ref
e
q
V
oc
T
ref
/
n
k
T
ref
-
1
,
(7)
I
0
=
I
0
T
ref
T
T
ref
3
/
n
e
q
V
g
(
T
ref
)
/
n
k
1
/
T
-
1
/
T
ref
,where ref identifies the standard test conditions (T
ref = 25°C, G
ref
=
1000 W/m2), K
0 is temperature coefficient of the current, I
sc is short circuit current, and V
oc is open circuit voltage.We should know the values ofR
s because it has a considerable effect on I
-
V characteristic curves:(8)
R
S
=
-
d
V
d
I
V
oc
-
1
X
v
,
X
V
=
I
0
T
ref
q
n
k
T
ref
e
q
V
oc
(
T
ref
)
/
n
k
T
ref
.Constants in these equations can be determined by analyzingI
-
V curve charts which are measured or published in product catalogues of PV system producers.SpecificI
-
V characteristics of solar cell for determined G and T are shown in Figure 3. Characteristic of a resistive charge is a linear line within the scope of I
/
V
=
1
/
R. Also it should be mentioned that power delivered to this charge is based only on the resistance value [32].However, panel has an effect onA
-
B field of the curve chart if R value is low. Cell acts as a constant current source here and it is almost equal to short circuit current. On the other hand panel has an effect on D
-
E field of the curve chart if R value is high. Cell acts as a constant voltage source here and it is almost equal to open circuit voltage [29].A real solar cell can be characterized by the following basic parameters shown in Figure5.Figure 5
SpecificI
-
V characteristics of solar cell.Short circuit current,I
sc
=
I
ph: this is the maximum current value produced by the cell. It can be produced by short circuit conditions V
=
0.Open circuit voltage corresponds to diminished voltage in the diode (p-n junction) when it is crossed by I
ph. In other words, it represents the cell voltage in dark, when the produced voltage is I
=
0.Maximum power point is the operating pointC in Figure 5. This is the consumed power when the resistive charge level is maximum: P
max
⁡
=
V
max
⁡
·
I
max
⁡.Maximum efficiency is the ratio between maximum power and incident light:(9)
η
=
P
max
⁡
P
in
=
I
max
⁡
V
max
⁡
A
G
.A is the panel cell area. The efficiency of our system was calculated and the result was found as 19.92%.Fill factor is the ratio between maximum power delivered to charge and output ofI
sc and V
oc:(10)
FF
=
P
max
⁡
V
oc
I
sc
=
I
max
⁡
V
max
⁡
V
oc
I
sc
.Fill factor is a measure of actualI
-
V characteristics. This value is higher than 0.7 for the cells that can be accepted as good. The fill factor of the panel used in our system is 0.81. Fill factor decreases as cell temperature increases.WhileI
sc is a linear function of ambient radiation, V
oc shows a logarithmic increase with ambient radiation. Dominant effect caused by the increase in cell temperature is the linear decrease of V
oc. Thus, the cell functions less efficiently. I
sc shows only a slight increase with cell temperature.The effects of theG and cell temperature on characteristics of the cell can be found by equations. I
ph
(
A
) is directly proportional to solar radiation. When solar cell is short-circuited, a negligible current arises in the diode. Thus, a proportional constant short circuit current I
sc related to calculated radiation value (5) is set. Generally panel data are calculated under G
ref on the conditions where sea level, humidity, and aerosol particle density are at average levels. PV cell performance does not change significantly in terms of full sunniness and cloudiness. With the received solar energy, power output shows approximately a linear decrease; however, efficiency rate approximately coincides with the preferred values.The relationship between photocurrent and temperature is linear (4) and this result is obtained by recording the temperature changes caused by photocurrent differences. The relationship between terminal voltage and current of the cell is given by Shockley equation when there is no radiation on panel cell. When the cell is open-circuited and there is radiation on it, current occurs entirely in the diode. I
-
V curve is shifted from the origin by the current produced by radiation (3). Saturation current value I
0 in the temperature of 25°C is calculated by open circuit voltage and short circuit current in that temperature (6). Ideality factor is offered as 1.2–1.3 under normal operation conditions and then it is stated that it can be used as initial until a more accurate value is calculated by curve chart simulation. I
0 has a complicated relationship with temperature; however, it does not include any variables that require evaluation (7). R
s on the panel does not have a strong influence on tendency at the V
=
V
oc point of the I
-
V curve chart. Equations (8) are found by derivation of (4) and evaluation at the V
=
V
oc point and by making reformation in terms of R
s [34].The main component specifications, characteristics, and prices of the component parts of the photovoltaic misting system are given in Table3, in which the numbers in parentheses corresponding to these elements are depicted in Figure 6.Table 3
The main components specification and characteristics of the photovoltaic misting system studied.
Systems
Element
Technical specification
Price (Euro)
Photovoltaic system
Solar cells (1)
Bluesun 150 W  monocrystalline.
465 (two units)
Inverter (2)
Manufacturer: SKN-S2012; input 220 VAC, 50/60 Hz, 30 A, max,1
φ; output 220 VAC, 50/60 Hz, 2000 W, max, 1
φ; DC input: 12 VDC; colour: black; N.W.: 19 kg, G.W.: 20 kg.
550
Solar battery (3)
VRLA GEL; 100 Ah, nominal voltage: 12 V; charging voltage for standby use: 12–16 V; charging current: 2.25 A.
100
Charge regulator (4)
Vista 15a 12/24 V.
90
Solar cell fasteners (5)
UV protected multicontact solar cables and connectors (10 m), power cable (15 m).
275
Misting system
Pressure water pump (6)
Manufacturer: Normist; type: RR-2; pressure: 70 bar; flow LPM: 2; engine power: 0.75 HP, 0.55 kW; voltage: 220 V; nominal ampere: 2.5 A; nozzle diameter: 0.2 mm; water inlet/outlet diameter: 9.525/12 mm, noise level: 78 dB.
1000
Distribution system (7)
Manufacturer: Normist; hexagonal nozzle series: 0.2 mm, number of nozzles: min 16 units, max 28 units; nozzle flow value: 0.075 lt/min (at 70 bar), clamps, pressure switch, pump regulator, terminating line,  high pressure plastic pipe, low pressure plastic pipe plastic clips, quick fittings, purge valve, T-connection, L-connection, pipe holder, filter, pressure gauge.
Total price
2480Figure 6
Established experimental system.


## 2.1. Concept and Advantages of Water Misting System

Water misting systems work by forcing water via a high pressure pump and tubing through a brass and stainless steel mist nozzle that has an orifice of about 5 micrometres, thereby producing a microfine mist. The water droplets that create the mist are so small that they instantly flash-evaporate. Flash evaporation can reduce the surrounding air temperature by as much as 35°F (20°C) in just seconds. For Patio systems, it is ideal to mount the mist line approximately 8 to 10 feet (2.4 to 3.0 m) above the ground for optimum cooling. Misting is used for applications such as flowerbeds, pets, livestock, kennels, insect control, odor control, zoos, veterinary clinics, cooling of produce, and greenhouses [2].The technology used is direct EC which is efficient and productive. Misting systems are also used because the mist that is produced is so fine that there is no chance of the surrounding area becoming wet. The effect of this system compares to that of standing in middle of a fog. One remains cooler but does not become wet. A person can only become wet from the system if they stand 15.24 cm away from the water nozzle. The water produced from this system is also hygienic. This is because the water is filtered of impurities before it is released through the nozzles. It is also economical because it uses an average of four to eight liters per hour. There are also many outstanding features and benefits that water mist system offers which are [26](i)
being suitable for a wide range of outdoor applications,
(ii)
requiring small space and being very light,
(iii)
being environmentally friendly,
(iv)
being nontoxic,
(v)
having highly efficient heat suppression capability,
(vi)
using limited quantity of water,
(vii)
being cost-effective compared to other heat reducing equipment like air conditions,
(viii)
driving away many insects like mosquitoes, flies, and wasps from the area,
(ix)
cleaning the surrounding area from dust and other common pollutants.The appearance of typical misting system during the study is shown in Figure1.Figure 1
Typical representation of misting systems.


## 2.2. Weather in Elazig

The mean sunshine duration and outside air temperature which is higher than other months are available in July for Elazig. Relative humidity is lowest in this month. For the province of Elazig meteorological values are given in Table1.Table 1
The average values over many years for Elazig city (1960–2012) [27].
Meteorological factors
Months
Jan.
Feb.
Mar.
Apr.
May.
Jun.
Jul.
Aug.
Sep.
Oct.
Nov.
Dec.
I
−0.8
0.5
5.8
11.9
17.2
22.9
27.3
26.8
21.6
14.6
7.1
1.9
II
2.9
4.9
11.1
17.7
23.6
29.6
34.3
34.1
29.4
21.7
12.6
5.6
III
−3.9
−3.1
1.0
6.4
10.7
15.2
19.3
19.0
14.3
9.0
3.0
−1.1
IV
2.4
3.4
5.2
6.5
9.1
11.4
12.2
11.4
9.5
7.1
4.4
2.3
V
11.9
11.9
12.2
12.7
10.6
4.3
1.1
0.8
2.2
7.2
9.1
11.7
VI
75
72
64
56
49
36
30
30
35
51
69
76
I: the average temperature (°C), II: the average high temperature (°C), III: the average minimum temperature (°C), IV: average sunshine hours (h), V: average number of rainy days (day), and VI: average relative humidity (%).For a period of 3 hours of Elazig outside temperature changes are given in Figure2 for the month of July. The solar radiation (W/m2) values obtained for 10 days with solarimeter ​​are shown in Figure 3.Figure 2
Hourly average outdoor air temperatures in the month of July.Figure 3
The solar radiation values obtained for 10 days in the month of July.The data for the other years was also reviewed and similar conclusions were achieved. These results provide great evidence that the misting system is well suited for operation in Elazig, Turkey.


## 2.3. Solar Energy Subsystem and Its Modeling

It will be useful to analyze PV panel performance before analyzing general performance of the system. Therefore, characteristics of solar panel are considered under a separated heading in this study. A PV panel consists of generator solar cells, junctions, protector parts, and secondary elements. Solar cells consist ofp-n junctions that are aggregated on a thin silicon circuit sheet or on a semiconductor layer.I
-
V outcome characteristics of a solar panel in the dark are similar to exponential characteristics of a diode. When solar energy (photons) arrives in solar cell with an amount of energy greater than band gap energy of the semiconductor, collision occurs and then electron pair arises. These carriers are swept to a separated area under the influence of interior electric field ofp-n junctions and create a current proportional to incident radiation. This current flows to external circuit when short circuit occurs in the panel cell and it is directed to interior parallel circuit byp-n junction diode when the circuit is open. Thus, characteristics of this diode shape the open circuit characteristics of the panel cell. Therefore, the simplest solar cell equivalent circuit is a parallel current source with the diode. Output acquired from current source is directly proportional to radiation on the panel cell. Solar cell is not an active element in dark. It performs as a diode. It does not generate current or voltage. However, if it is connected to an external source, it generates a current named as “diode current” or “dark current” [28–33].Diode determines theI
-
V characteristics of the cell. In order to achieve the best chart curve match-up, the diode ideality factor and a single parallel diode were used. This model is the simplified version of two-diode model by Gow and Manning [34]. Solar cell circuit diagram is shown in Figure 4.Figure 4
Solar cell circuit diagram.I
ph: photocurrent, I
0: diode saturation current, R
s: serial resistance, R
sh: shunt resistance, T: ambient temperature, G: ambient irradiance, and V: output voltage.I
0 and I
ph depend on temperature. R
s is included in the circuit in order to explain the description of maximum power point and open circuit voltage better. R
s refers to interior losses caused by flow of the current. R
sh is parallel with the diode. R
sh is usually negligible and is not shown in the equivalent circuit. R
s
=
R
sh
=
0 in the ideal panel cell [34].I
-
V characteristics of a solar panel can be calculated by the equations given. Middle level complexity model was used in this study. Consider(1)
I
ph
=
I
d
+
I
,
(2)
I
d
=
I
0
e
q
(
V
+
I
R
s
)
/
n
k
T
-
1
,
(3)
I
=
I
ph
-
I
0
e
q
V
+
I
R
s
/
n
k
T
-
1
,where q is elementary charge (1.602 × 10−19 C), k is Boltzmann constant (1.381 × 10−23 J/K), and n is diode ideality factor; it depends on the PV technology as it is shown in Table 2.Table 2
Ideality factor of several PV types.
PV type
n
Monocrystalline silicon
1.2
Polycrystalline silicon
1.3
Cadmium telluride
1.5
Gallium arsenide
1.3
Amorphous silicon
1.8Equations (2), (3), and (4) are not enough to draw the I
-
V curve: I
ph, V
oc, and I
0 are required to complete the model. Consider(4)
I
ph
=
I
ph
T
ref
+
K
0
T
-
T
ref
,
(5)
I
ph
T
ref
=
I
sc
T
ref
G
G
ref
,
(6)
I
0
T
ref
=
I
sc
T
ref
e
q
V
oc
T
ref
/
n
k
T
ref
-
1
,
(7)
I
0
=
I
0
T
ref
T
T
ref
3
/
n
e
q
V
g
(
T
ref
)
/
n
k
1
/
T
-
1
/
T
ref
,where ref identifies the standard test conditions (T
ref = 25°C, G
ref
=
1000 W/m2), K
0 is temperature coefficient of the current, I
sc is short circuit current, and V
oc is open circuit voltage.We should know the values ofR
s because it has a considerable effect on I
-
V characteristic curves:(8)
R
S
=
-
d
V
d
I
V
oc
-
1
X
v
,
X
V
=
I
0
T
ref
q
n
k
T
ref
e
q
V
oc
(
T
ref
)
/
n
k
T
ref
.Constants in these equations can be determined by analyzingI
-
V curve charts which are measured or published in product catalogues of PV system producers.SpecificI
-
V characteristics of solar cell for determined G and T are shown in Figure 3. Characteristic of a resistive charge is a linear line within the scope of I
/
V
=
1
/
R. Also it should be mentioned that power delivered to this charge is based only on the resistance value [32].However, panel has an effect onA
-
B field of the curve chart if R value is low. Cell acts as a constant current source here and it is almost equal to short circuit current. On the other hand panel has an effect on D
-
E field of the curve chart if R value is high. Cell acts as a constant voltage source here and it is almost equal to open circuit voltage [29].A real solar cell can be characterized by the following basic parameters shown in Figure5.Figure 5
SpecificI
-
V characteristics of solar cell.Short circuit current,I
sc
=
I
ph: this is the maximum current value produced by the cell. It can be produced by short circuit conditions V
=
0.Open circuit voltage corresponds to diminished voltage in the diode (p-n junction) when it is crossed by I
ph. In other words, it represents the cell voltage in dark, when the produced voltage is I
=
0.Maximum power point is the operating pointC in Figure 5. This is the consumed power when the resistive charge level is maximum: P
max
⁡
=
V
max
⁡
·
I
max
⁡.Maximum efficiency is the ratio between maximum power and incident light:(9)
η
=
P
max
⁡
P
in
=
I
max
⁡
V
max
⁡
A
G
.A is the panel cell area. The efficiency of our system was calculated and the result was found as 19.92%.Fill factor is the ratio between maximum power delivered to charge and output ofI
sc and V
oc:(10)
FF
=
P
max
⁡
V
oc
I
sc
=
I
max
⁡
V
max
⁡
V
oc
I
sc
.Fill factor is a measure of actualI
-
V characteristics. This value is higher than 0.7 for the cells that can be accepted as good. The fill factor of the panel used in our system is 0.81. Fill factor decreases as cell temperature increases.WhileI
sc is a linear function of ambient radiation, V
oc shows a logarithmic increase with ambient radiation. Dominant effect caused by the increase in cell temperature is the linear decrease of V
oc. Thus, the cell functions less efficiently. I
sc shows only a slight increase with cell temperature.The effects of theG and cell temperature on characteristics of the cell can be found by equations. I
ph
(
A
) is directly proportional to solar radiation. When solar cell is short-circuited, a negligible current arises in the diode. Thus, a proportional constant short circuit current I
sc related to calculated radiation value (5) is set. Generally panel data are calculated under G
ref on the conditions where sea level, humidity, and aerosol particle density are at average levels. PV cell performance does not change significantly in terms of full sunniness and cloudiness. With the received solar energy, power output shows approximately a linear decrease; however, efficiency rate approximately coincides with the preferred values.The relationship between photocurrent and temperature is linear (4) and this result is obtained by recording the temperature changes caused by photocurrent differences. The relationship between terminal voltage and current of the cell is given by Shockley equation when there is no radiation on panel cell. When the cell is open-circuited and there is radiation on it, current occurs entirely in the diode. I
-
V curve is shifted from the origin by the current produced by radiation (3). Saturation current value I
0 in the temperature of 25°C is calculated by open circuit voltage and short circuit current in that temperature (6). Ideality factor is offered as 1.2–1.3 under normal operation conditions and then it is stated that it can be used as initial until a more accurate value is calculated by curve chart simulation. I
0 has a complicated relationship with temperature; however, it does not include any variables that require evaluation (7). R
s on the panel does not have a strong influence on tendency at the V
=
V
oc point of the I
-
V curve chart. Equations (8) are found by derivation of (4) and evaluation at the V
=
V
oc point and by making reformation in terms of R
s [34].The main component specifications, characteristics, and prices of the component parts of the photovoltaic misting system are given in Table3, in which the numbers in parentheses corresponding to these elements are depicted in Figure 6.Table 3
The main components specification and characteristics of the photovoltaic misting system studied.
Systems
Element
Technical specification
Price (Euro)
Photovoltaic system
Solar cells (1)
Bluesun 150 W  monocrystalline.
465 (two units)
Inverter (2)
Manufacturer: SKN-S2012; input 220 VAC, 50/60 Hz, 30 A, max,1
φ; output 220 VAC, 50/60 Hz, 2000 W, max, 1
φ; DC input: 12 VDC; colour: black; N.W.: 19 kg, G.W.: 20 kg.
550
Solar battery (3)
VRLA GEL; 100 Ah, nominal voltage: 12 V; charging voltage for standby use: 12–16 V; charging current: 2.25 A.
100
Charge regulator (4)
Vista 15a 12/24 V.
90
Solar cell fasteners (5)
UV protected multicontact solar cables and connectors (10 m), power cable (15 m).
275
Misting system
Pressure water pump (6)
Manufacturer: Normist; type: RR-2; pressure: 70 bar; flow LPM: 2; engine power: 0.75 HP, 0.55 kW; voltage: 220 V; nominal ampere: 2.5 A; nozzle diameter: 0.2 mm; water inlet/outlet diameter: 9.525/12 mm, noise level: 78 dB.
1000
Distribution system (7)
Manufacturer: Normist; hexagonal nozzle series: 0.2 mm, number of nozzles: min 16 units, max 28 units; nozzle flow value: 0.075 lt/min (at 70 bar), clamps, pressure switch, pump regulator, terminating line,  high pressure plastic pipe, low pressure plastic pipe plastic clips, quick fittings, purge valve, T-connection, L-connection, pipe holder, filter, pressure gauge.
Total price
2480Figure 6
Established experimental system.


## 3. The Evaluation of Experimental Study and Photovoltaic Modeling

In Figures7, 8, and 9 maximum temperatures (°C) obtained from the thermal camera images, according to the randomly selected X and Y coordinates. The location indicated by dark blue color shows the nozzle outlet.Figure 7
The thermal camera images and information of the arbor subregion, two nozzles.Figure 8
The thermal camera images and information of the arbor subregion, three nozzles.Figure 9
The thermal camera images and information of solar cells on top of arbor.Firstly, the misting system is turned on for 20 s and turned off for 20 s. In this situation inrush currents induced by pressurized water pump force inverter system. Thus, the system is operated continuously during the experiment.In Figures10–12, temperature distribution around the people standing next to misting system is given. As seen from Figure 10, temperature difference between the nozzle outlet and the human body surface is about 12°C. The location indicated by dark blue color shows the nozzle outlet. In Figures 11 and 12, temperature of people with different positions is given by the thermal camera images.Figure 10
The thermal camera images and information having people under the arbor.Figure 11
The thermal camera images and information of people raising one arm.Figure 12
The thermal camera images and information of people raising two arms.In order to analyze the performance of the misting system, energy efficiency ratio (EER) and coefficient of performance (COP) are calculated. The EER of a cooling system is the ratio of the output cooling in BTU to the input electrical power consumed by the system in Wh at a given point in time. The COP describes the performance of cooling systems as well as EER. It is commonly used in thermodynamics and given by the following relationship using Carnot cycle [14, 35–37]:(11)
COP
carnot
=
T
i
T
o
-
T
i
,where T
i and T
o are the indoor (arbor area) and outdoor (ambient) temperatures in Kelvin, respectively. The COP is a unitless quantity. The cooling equipment systems used in residential and small commercial buildings often express cooling system efficiency in terms of the energy efficiency ratio (EER) and/or seasonal energy efficiency ratio (SEER). These coefficients are defined by the cooling effect in Btu (not in tons) divided by the power use in watts (not in kW) for the peak day (EER) or the seasonal average day (SEER) [14, 35–37]:(12)
EER
carnot
=
3.412
COP
,where the units of EERcarnot are BtuW−1 h−1.In this work, COP and EER are calculated for the best cooling performance measurement which is displayed in Figure9. The calculated values of COP and EER are 18.8 and 64.15, respectively. It is not possible to report SEER in this work due to the fact that the experiments were done over limited time and in summer season. In this study, the ambient temperature was measured at 35°C. Relative humidity after humidification was measured as an average of 40%. The maximum difference between T
i and T
o in the conducted experiments is only 15.6°C. This difference is much lower than typical performance of such misting systems where the difference could be as large as 25°C [14].The Bluesun BSM-150 PV module was chosen for modeling, due to being well suited to traditional applications of photovoltaics. The BSM-150 module provides 150 watt of nominal maximum power and has 36 series connected monocrystalline silicon (4 × 9) cells. The key specifications are shown in Table4.Table 4
Typical electrical characteristics of BSM-150 PV module.
Parameter
Variable
Value
Maximum power
P
m
150 W
Power tolerance
%
+5
Max power voltage
V
m (V)
18.11
Max power current
I
m (A)
8.32
Open circuit voltage
V
oc (V)
22.51
Short circuit current
I
sc (A)
9.08
Max system voltage
VDC
1000
Cell efficiency
η
c (%)
≥17
Cell size
Mm
156 × 156
I
m temperature coefficient
(%/°C)
+0.1
V
m temperature coefficient
(%/°C)
−0.38
P
m temperature coefficient
(%/°C)
−0.47
I
sc temperature coefficient
(%/°C)
+0.1
V
oc temperature coefficient
(%/°C)
−0.38
NOCT, nominal operating cell temperature
°C
48 ± 2
Fill factor
%
≥73.3
The data are based on measurements made in a solar simulator at standard test conditions (STC), which are
(i) illumination of 1 kW/m2 (1 sun) at spectral distribution of AM 1.5;
(ii) cell temperature of 25°C or as otherwise specified (on curves).The model of the PV module parameters is evaluated during execution using the equations listed in the previous section. The program calculates the currentI, using typical electrical parameter of the module (I
sc, V
oc) and the variables voltage, irradiation (G), and temperature (T).The program considers the series resistance in the model. This resistance makes the solution for the currentI (3) a nonlinear problem, solved using numerical methods. In this program the Newton-Raphson method was used, because the literature indicates much more rapid convergence, for both positive and negative currents.The output of the Matlab function is shown first for various irradiation levels (Figure13) and then for various temperatures (Figure 14).Figure 13
Matlab modelI
-
V curves for various irradiation levels (BSM-150, G = 250, 500, 750, 1000 W/m2, T = 25°C).Figure 14
Matlab modelI
-
V curves for various temperatures (BSM-150, G
=
1000 W/m2, T
=
0, 25, 50, 75°C).A number of discrete data points are shown on the curves in Figure14. These are points taken directly from the manufacturer’s published curves and show excellent correspondence to the model. For the BSM-150 the curves show that I
L changes from 9.08 to 9.35 A (≈3%) as T changes from 25 to 75°C. Figure 15 shows power voltage curves for several temperatures, again the discrete data points taken directly from the manufacturer’s published curves, and shows excellent correspondence to the model.Figure 15
Matlab modelP
-
V curves for various temperatures (BSM-150, G
=
1000 W/m2, T
=
0, 25, 50, 75°C).The cell efficiency and fill factor (FF) of BSM-150 photovoltaic unit are calculated as 17.12% and 73.71, respectively (according to the data of Table4).


## 4. Economic Returns to Open Area Investment

A sufficient economic return on energy efficiency investments is crucial for the sustainable development of the green building industry. The amount spent in establishing system will be recovered after using it for a certain amount of time. The return on investment parameter depends on the cost of the parts used in the system and on the cost of operating comparable equipment [14]. In this work, return on investment for solar assisted misting system is compared with the cost of operating an air conditioner that is used to cool a 4 m × 6 m area. This area is equivalent to the arbor area used by the misting system. The region coefficient of an air conditioner is 308 BTU/h for Eastern Anatolia (38.6775° N, 39.1707° E, Elazig, Turkey). If the account is 24 m2 arbor area is calculated as 24 × 308 = 7392 BTU/h. Given that 10 people sit under the arbor for each person 600 BTU/h is added. Therefore, 10 × 600 = 6000 BTU/h is calculated. Experiments carried out during the day because of lighting effect have been neglected. According to the above assumptions, is calculated as the total cooling load is 13392 BTU/h. The cooling load is 17400 BTU/h and assessment was made based on the model (Mitsubishi SRK56) [38]. Assume a cost of approximately 1000 Euro for air conditioner, utility cost per kW of 0.082 Euro/kW, power consumption of air conditioner about 5.09 kW (17400 BTU/h), and operating the AC for 8 h/day for 4 months/year. The cost of misting system is 2480 Euro (see Table 3). Thus, the system pays for itself in 3 years and 7 months (3.7 years; payback period) and the cost of operating it afterwards would be free due to the usage of free solar energy.


## 5. Conclusions

Misting system powered up with solar cell is demonstrated for an arbor area. The temperature of arbor was reduced from 35°C to 15°C. Arbor relative humidity values were increased from 20–25% to 40–50%. When there is no solar energy, electricity from the grid based system operated. In this study, cooling was performed using only PV power. As recommended. Solar panels used in the experiments are modeled. An accurate photovoltaic module electrical model is presented and demonstrated in Matlab for a typical 150 W solar panel. Given solar insolation and temperature, the model returns a current vector for a given voltage vector. The cell efficiency and fill factor (FF) of BSM-150 photovoltaic unit are calculated as 17.12% and 73.71, respectively. The return on investment for such a system (misting system powered up with solar cell) is calculated to be 3.7 years. With this system, evaporative cooling example, the initial investment costs and CO2 emissions compared to conventional systems and it is shown that these can be reduced. The misting system can be used in a very large area in order to offer people more comfortable environment.



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*Source: 748219-2015-03-26.xml*