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IOSR Journal of Electrical and Electronics Engineering (IOSR-JEEE)
e-ISSN: 2278-1676,p-ISSN: 2320-3331, Volume 8, Issue 2 (Nov. - Dec. 2013), PP 42-46
www.iosrjournals.org
www.iosrjournals.org 42 | Page
Temperature and Azimuth angle variation effect on the Building
Integrated Photovoltaic Application in Bangladesh
Suman Chowdhury 1
, Md. Abul Bashar 2
, Md. Nazmul Hossain3
, Anik Talukder4
1,2
Department of Electrical and Electronic Engineering, International University of Business Agriculture and
Technology, Dhaka-1230, Bangladesh
3,4
Department of Electrical and Electronic Engineering Khulna University of Engineering and Technology
Khulna-9203, Bangladesh
Abstract : This paper analyzes the temperature effect on the power generation of building integrated
photovoltaic application in Bangladesh. Again this paper shows that how power generation is
affected due to variation of azimuth angle. Finally this paper also depicts that how solar irradiation is
varied with respect to time duration. From analysis, it is seen that around 10.05% power increment is
occurred when tilt/azimuth angle is varied from 21°/180° to 21°/0° at the temperature of 30° taking
consideration of Bangladesh climate.
Keywords : Temperature, azimuth angle, solar irradiation.
I. INTRODUCTION
Building integrated photovoltaic (BIPV) products are drawing more attention from the building
industry as the price of photovoltaic modules continues to drop [1]. Integrating PV systems into the building
envelope causes losses in the electrical power production mainly because of three reasons: non-optimal
orientation of the modules, shading issues and PV temperature increment [3].The Ex Post BIPV system is an
interesting case study to focus on because these three critical aspects are contemporaneously present since it is a
façade integration situated in an urban environment and the PV modules are not ventilated [3]. The building is
now certified as Klimahaus Gold according to the regional rating scheme, with a calculated energy heating
demand of 7 kWh/m²a. [3]. In advanced countries, buildings consume around 40% of the total energy
consumption, which translates to about 30% of global carbon dioxide emissions (UN, 2010). For the United
States and European Union, buildings account for 37% of their total energy consumption, while the amount
stands at 39% for the UK (Perez et al., 2008; US GBC, 2007). Within Asia, the energy consumption of buildings
is 31% and 40% for Japan and Hong Kong, respectively (ECC, 2008) [2]. So the BIPV system is urgent to apply
for meeting the energy demand throughout the world. In BIPV system tilt angle and azimuth angle variations
cause a significant variation in power generation due to change in temperature level. This paper highlights the
influence of azimuth angle on the BIPV application considering temperature issue.
II. SOLAR IRRADIANCE
Solar energy is one vital energy source among three main sources which are geothermal, tidal and solar
energy. The sun has a black body temperature of 5777 K (Kelvin) and the diameter of it is of 1.39 ×109
m and
1.5 ×1011
m away from the earth. As shown in figure 1 there is a maximum spectral intensity of 0.48 µm
wavelength in the green portion of the visible spectrum, in the ultraviolate region (0.40 µm) there is 8.73%
energy of the total energy, in the visible region (0.40 µm to 0.70 µm) there is 38.15% and in the infrared region
(0.70µm) the remaining 53.12% energy is occupied. The Earth’s atmosphere absorbs the ultraviolet (UV) and
infrared radiation allowing radiation having wavelength ranging from 0.29 µm to 2.3 µm known as short
wavelength radiation[4]. There are various methods to estimate solar radiation. Satisfactory result for hourly
solar radiation estimation was obtained by using atmospheric transmittance model [5] while other authors have
used diffuse fraction [6] and clearness index models [7]. Parametric or atmospheric transmittance model
requires details atmospheric characteristic information [8]. This model gives high-accuracy for clear
sky/cloudless conditions, which is leading some author to use this model to evaluate the performance of an
empirical model under cloudless conditions [10].
Temperature and Azimuth angle variation effect on the Building Integrated Photovoltaic Application
www.iosrjournals.org 43 | Page
Fig. 1 Extraterrestrial and Terrestrial Spectrum of Sunlight
0
100
200
300
400
500
600 7.30am 8.00am
8.30am 9.00am
9.30am 10.00am
10.30am 11.00am
11.30am 12.00pm
12.30pm 1.00pm
1.30pm 2.00pm
2.30pm 3.00pm
3.30pm 4.00pm
4.30pm 5.00pm
Solarirradiance(W/m2)
Fig. 2: Solar irradiation data at half hour intervals obtained in KUET campus taking orientation of South 23˚ on 7th
March 2012.
Figure 2 shows the various levels of solar irradiance in W/m2
taking the data from 8.00 am to 5.00 pm at a
half hour interval on 7th
March in 2012 in the KUET campus in Bangladesh. From the data it is seen that the
high solar irradiance level was standing between 10.30am to 2.00pm.
III. TILT ANGLE AND AZIMUTH ANGLE
A photovoltaic (PV) system should be installed to maximize the solar contribution to a particular load.
Optimum PV inclination and orientation depends on local climate, load consumption temporal profile and
latitude [11–13]. The optimum tilt angle is site dependent and calculation of this angle requires solar radiation
data for that particular site for the whole year. Normally, during summer, the incident insolation is maximized
for a surface with an inclination 10–15° less than the latitude and, during winter, 10–15° more than the latitude
[14].
Nakamura reported that PV efficiency decreased by 1% for a horizontal surface than for a 30°-tilted
surface due to variation of solar incident angle, solar spectrum and dirt on the module surface for a location at
latitude 34.45°N and longitude 137.4° [16]. An experimental study showed that for a location with latitude
35.7°N and longitude 51.4°, the maximum PV energy was produced by a surface with tilt angle of 29° [15].
Fig. 3 shows the initial experimental approach by the researchers for determining the optimum tilt
angle for the BIPV system, in which the monthly solar irradiation was 131KW/m2
and temperature was 25°C
[9].
Table 1 shows the practical data of voltage and current obtained from a PV module named as KC40REB in
KUET campus on 3rd
and 7th
October 2012 in Bangladesh.
Figure 3: Orientation of PV modules at 4 different slopes [9].
Temperature and Azimuth angle variation effect on the Building Integrated Photovoltaic Application
www.iosrjournals.org 44 | Page
TABLE 1: PRACTICAL DATA OF MAXIMUM VOLTAGE AND MAXIMUM CURRENT.
Date Time Maximum
Voltage(V)
Maximum
Current(A)
3.10.12 8.00 am – 9.00 am 17.69 1.818
3.10.12 9.00 am – 10.00 am 17.77 1.515
3.10.12 10.00 am – 11.00 am 17.59 3.25
3.10.12 11.00 am – 12.00 pm 17.68 2.49
3.10.12 12.00 pm – 1.00 pm 17.91 2.52
3.10.12 1.00 pm – 2.00 pm 17.25 0.74
3.10.12 2.00 pm – 3.00 pm 17.61 1.11
3.10.12 3.00 pm – 4.00 pm 17.34 0.691
3.10.12 4.00 pm – 5.00 pm 16.61 0.298
7.10.12 8.00 am – 9.00 am 17.34 0.615
7.10.12 9.00 am – 10.00 am 17.39 1.02
7.10.12 10.00 am – 11.00 am 17.08 1.46
7.10.12 11.00 am – 12.00 pm 16.55 0.951
7.10.12 12.00 pm – 1.00 pm 16.66 1.06
7.10.12 1.00 pm – 2.00 pm 17.36 2.45
7.10.12 2.00 pm – 3.00 pm 16.54 0.572
7.10.12 3.00 pm – 4.00 pm 16.49 0.394
7.10.12 4.00 pm – 5.00 pm 16.61 0.420
Figure 4 shows the practical data for the observation of power obtained from PV module KC40REB in KUET
campus taking consideration of a distinct time interval on 3rd
and 7th
October in 2012.
0
20
40
60
3rd
Oct.
2012
7th
Oct.
2012
8.00am-9.00am
9.00am-10.00am
10.00am-11.00am
11.00am-12.00pm
12.00pm-1.00pm
1.00pm-2.00pm
2.00pm-3.00pm
3.00pm-4.00pm
4.00pm-5.00pm
Figure 4: Practically power obtained from PV module KC40REB in KUET campus.
IV. Characterization Of Pv Array Taking The Effect Of Temperature And Azimuth Angle
Variation
For observation of power characteristics of the PV system, two PV arrays are taken where each array
consists of 50 strings in parallel and each string consists of 20 modules (Solarex MSX 64) in series connection.
From the analysis of power of the PV system, total four different types of figures are obtained. From fig. 5, it is
seen that the obtained power is 8.18 KW at the temperature of 22° whereas that power is incremented to 73.32
KW at the temperature of 37° considering tilt/azimuth angle of 21°/0°. Again fig. 6 shows that the obtained
power is 9.2 KW at the temperature of 22° whereas that power is incremented to 61.3 KW at the temperature of
35° considering tilt/azimuth angle of 21°/180°. So from fig. 5 and fig. 6, it is seen that more effective power is
obtained in the lower azimuth value and power is always getting higher level with increment of temperature in
both cases. Now from fig. 7, it is seen that the best power incremental rate is 92.18% when temperature is
changed from 23° to 25° at the tilt/azimuth angle of 21°/0° whereas in fig. 8, that rate is 62.93% when
temperature is changed from 26° to 29° at the tilt/azimuth angle of 21°/180°.
Temperature and Azimuth angle variation effect on the Building Integrated Photovoltaic Application
www.iosrjournals.org 45 | Page
Fig. 5: Temperature effect on power variation with Tilt/Azimuth angle of 21°/0°.
Fig. 6 : Temperature effect on power variation with Tilt/Azimuth angle of 21°/180°.
Fig. 7: Power incremental rate with temperature variation at Tilt/Azimuth angle of 21°/0°.
Temperature and Azimuth angle variation effect on the Building Integrated Photovoltaic Application
www.iosrjournals.org 46 | Page
Fig. 8: Power incremental rate with temperature variation at Tilt/Azimuth angle of 21°/180°.
V. CONCLUSION
The power generation of the Building Integrated Photovoltaic Application is highly affected by the
temperature variation. This paper tries to investigate the influence of temperature on power generation. The
azimuth angle variation also takes the good contribution to the effective power generation of the PV system.
From the analysis, it is seen that around 6.21 times initial power is obtained when the temperature is changed
from 22°C to 34°C at the tilt/azimuth angle of 21°/180° whereas it is 7.25 times at the tilt/azimuth angle of
21°/0°.
REFERENCES
[1] Mark W. Davis, Brian P. Dougherty & A. Hunter Fanney, Prediction of Building Integrated Photovoltaic Cell Temperatures
(Transactions of ASME, the Journal of Solar Energy Engineering, Special issue: Solar Thermo chemical Processing, vol.123, No. 2,
PP.200-210, August 2001). http://fire.nist.gov/bfrlpubs/build01/PDF/b01037.pdf
[2] Poh Khai Ng and Nalanie Mithraratne, “A Selection Framework For The Integration Of Semitransparent Bipv Windows In
Singapore”, Department of Architecture, School of Design and Environment, National University of Singapore, Singapore,
http://www.inta2012.org/papers/inta12-46.pdf.
[3] L. Maturi, W. Sparber ,B. Kofler, W. Bresciani,” ANALYSIS AND MONITORING RESULTS OF A BIPV SYSTEM IN
NORTHERN ITALY”, Institute for Renewable Energy, EURAC research, Viale Druso 1, 39100 Bolzano (BZ), Italy,
http://www.eurac.edu/en/research/institutes/renewableenergy/Publications2/Documents/EURAC_RenEne_PVSEC2010_Maturi-
Sparber-Kofler-Bresciani.pdf .
[4] Joseph Durago, Photovoltaic emulator adaptable to irradiance, temperature and panel-specific I-V curves, California Polytechnic
State University, MSEE Thesis, June 2011.
[5] G. S. Campbell and J. M. Norman, “Introduction to Environmental Biophysics. 2nd ed. New York: Springer-Verlag. Pp. 167–183,
1998
[6] Reindl DT, Beckman WA, Duffie JA, “Diffuse fraction correlations”, Solar Energy 1990; 45:1-7.
[7] F.J. Batlles et al, “Empirical modeling of hourly direct irradiance by means of hourly global irradiance”, Energy 25: 675-688, 2000.
[8] L.T. Wong and W.K. Chow, “Solar radiation model”, Applied Energy 69: 191–224, 2001
[9] Z. Abdallah,M. Elhassan,M. Fauzi.Md..Zain, K. Sopian and A. Awadallah, ,” Output energy of photovoltaic module directed at
optimum slope angle in Kuala Lumpur, Malaysia.”, Research Journal of Applied Sciences, Year-2011, Vol. :6, issue: 2, page no.:
104-109, Doi: 10.3923/rjasci.2011.104.109.
[10] F.J. Batlles, M.A. Rubioa, J. Tovarb, F.J. Olmoc and L. Alados-Arboledas, “Empirical modeling of hourly direct irradiance by
means of hourly global irradiance”, Energy 25: 675-688, 2000.
[11] Tsalides P, Thanailakis A. Direct computation of the array optimum tilt angle in constant-tilt photovoltaic systems. Sol Cells 1985;
14:83–94.
[12] Kern J, Harris I. On the optimum tilt of a solar collector. Sol Energy 1975; 17:97–102.
[13] Bari S. “Optimum slope angle and orientation of solar collectors for different periods of possible utilization”. Energy Convers
Manage 2000; 41:855–60.
[14] Duffie JA, Beckman WA. Solar engineering of thermal processes, 2nd ed. Wiley; 1991.
[15] Soleimani EA, Farhangi S, Zabihi MS. “The effect of tilt angle, air pollution on performance of photovoltaic systems in Tehran.
Renew Energy” 2001; 24:459–68.
[16] Nakamura H, Yamada T, Sugiura T, Sakuta K, Kurokawa K. “Data analysis on solar irradiance and performance characteristics of
solar modules with a test facility of various tilted angles and directions”. Sol Energy Mater Sol Cells 2001;67:591–600

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Temperature and Azimuth angle variation effect on the Building Integrated Photovoltaic Application in Bangladesh

  • 1. IOSR Journal of Electrical and Electronics Engineering (IOSR-JEEE) e-ISSN: 2278-1676,p-ISSN: 2320-3331, Volume 8, Issue 2 (Nov. - Dec. 2013), PP 42-46 www.iosrjournals.org www.iosrjournals.org 42 | Page Temperature and Azimuth angle variation effect on the Building Integrated Photovoltaic Application in Bangladesh Suman Chowdhury 1 , Md. Abul Bashar 2 , Md. Nazmul Hossain3 , Anik Talukder4 1,2 Department of Electrical and Electronic Engineering, International University of Business Agriculture and Technology, Dhaka-1230, Bangladesh 3,4 Department of Electrical and Electronic Engineering Khulna University of Engineering and Technology Khulna-9203, Bangladesh Abstract : This paper analyzes the temperature effect on the power generation of building integrated photovoltaic application in Bangladesh. Again this paper shows that how power generation is affected due to variation of azimuth angle. Finally this paper also depicts that how solar irradiation is varied with respect to time duration. From analysis, it is seen that around 10.05% power increment is occurred when tilt/azimuth angle is varied from 21°/180° to 21°/0° at the temperature of 30° taking consideration of Bangladesh climate. Keywords : Temperature, azimuth angle, solar irradiation. I. INTRODUCTION Building integrated photovoltaic (BIPV) products are drawing more attention from the building industry as the price of photovoltaic modules continues to drop [1]. Integrating PV systems into the building envelope causes losses in the electrical power production mainly because of three reasons: non-optimal orientation of the modules, shading issues and PV temperature increment [3].The Ex Post BIPV system is an interesting case study to focus on because these three critical aspects are contemporaneously present since it is a façade integration situated in an urban environment and the PV modules are not ventilated [3]. The building is now certified as Klimahaus Gold according to the regional rating scheme, with a calculated energy heating demand of 7 kWh/m²a. [3]. In advanced countries, buildings consume around 40% of the total energy consumption, which translates to about 30% of global carbon dioxide emissions (UN, 2010). For the United States and European Union, buildings account for 37% of their total energy consumption, while the amount stands at 39% for the UK (Perez et al., 2008; US GBC, 2007). Within Asia, the energy consumption of buildings is 31% and 40% for Japan and Hong Kong, respectively (ECC, 2008) [2]. So the BIPV system is urgent to apply for meeting the energy demand throughout the world. In BIPV system tilt angle and azimuth angle variations cause a significant variation in power generation due to change in temperature level. This paper highlights the influence of azimuth angle on the BIPV application considering temperature issue. II. SOLAR IRRADIANCE Solar energy is one vital energy source among three main sources which are geothermal, tidal and solar energy. The sun has a black body temperature of 5777 K (Kelvin) and the diameter of it is of 1.39 ×109 m and 1.5 ×1011 m away from the earth. As shown in figure 1 there is a maximum spectral intensity of 0.48 µm wavelength in the green portion of the visible spectrum, in the ultraviolate region (0.40 µm) there is 8.73% energy of the total energy, in the visible region (0.40 µm to 0.70 µm) there is 38.15% and in the infrared region (0.70µm) the remaining 53.12% energy is occupied. The Earth’s atmosphere absorbs the ultraviolet (UV) and infrared radiation allowing radiation having wavelength ranging from 0.29 µm to 2.3 µm known as short wavelength radiation[4]. There are various methods to estimate solar radiation. Satisfactory result for hourly solar radiation estimation was obtained by using atmospheric transmittance model [5] while other authors have used diffuse fraction [6] and clearness index models [7]. Parametric or atmospheric transmittance model requires details atmospheric characteristic information [8]. This model gives high-accuracy for clear sky/cloudless conditions, which is leading some author to use this model to evaluate the performance of an empirical model under cloudless conditions [10].
  • 2. Temperature and Azimuth angle variation effect on the Building Integrated Photovoltaic Application www.iosrjournals.org 43 | Page Fig. 1 Extraterrestrial and Terrestrial Spectrum of Sunlight 0 100 200 300 400 500 600 7.30am 8.00am 8.30am 9.00am 9.30am 10.00am 10.30am 11.00am 11.30am 12.00pm 12.30pm 1.00pm 1.30pm 2.00pm 2.30pm 3.00pm 3.30pm 4.00pm 4.30pm 5.00pm Solarirradiance(W/m2) Fig. 2: Solar irradiation data at half hour intervals obtained in KUET campus taking orientation of South 23˚ on 7th March 2012. Figure 2 shows the various levels of solar irradiance in W/m2 taking the data from 8.00 am to 5.00 pm at a half hour interval on 7th March in 2012 in the KUET campus in Bangladesh. From the data it is seen that the high solar irradiance level was standing between 10.30am to 2.00pm. III. TILT ANGLE AND AZIMUTH ANGLE A photovoltaic (PV) system should be installed to maximize the solar contribution to a particular load. Optimum PV inclination and orientation depends on local climate, load consumption temporal profile and latitude [11–13]. The optimum tilt angle is site dependent and calculation of this angle requires solar radiation data for that particular site for the whole year. Normally, during summer, the incident insolation is maximized for a surface with an inclination 10–15° less than the latitude and, during winter, 10–15° more than the latitude [14]. Nakamura reported that PV efficiency decreased by 1% for a horizontal surface than for a 30°-tilted surface due to variation of solar incident angle, solar spectrum and dirt on the module surface for a location at latitude 34.45°N and longitude 137.4° [16]. An experimental study showed that for a location with latitude 35.7°N and longitude 51.4°, the maximum PV energy was produced by a surface with tilt angle of 29° [15]. Fig. 3 shows the initial experimental approach by the researchers for determining the optimum tilt angle for the BIPV system, in which the monthly solar irradiation was 131KW/m2 and temperature was 25°C [9]. Table 1 shows the practical data of voltage and current obtained from a PV module named as KC40REB in KUET campus on 3rd and 7th October 2012 in Bangladesh. Figure 3: Orientation of PV modules at 4 different slopes [9].
  • 3. Temperature and Azimuth angle variation effect on the Building Integrated Photovoltaic Application www.iosrjournals.org 44 | Page TABLE 1: PRACTICAL DATA OF MAXIMUM VOLTAGE AND MAXIMUM CURRENT. Date Time Maximum Voltage(V) Maximum Current(A) 3.10.12 8.00 am – 9.00 am 17.69 1.818 3.10.12 9.00 am – 10.00 am 17.77 1.515 3.10.12 10.00 am – 11.00 am 17.59 3.25 3.10.12 11.00 am – 12.00 pm 17.68 2.49 3.10.12 12.00 pm – 1.00 pm 17.91 2.52 3.10.12 1.00 pm – 2.00 pm 17.25 0.74 3.10.12 2.00 pm – 3.00 pm 17.61 1.11 3.10.12 3.00 pm – 4.00 pm 17.34 0.691 3.10.12 4.00 pm – 5.00 pm 16.61 0.298 7.10.12 8.00 am – 9.00 am 17.34 0.615 7.10.12 9.00 am – 10.00 am 17.39 1.02 7.10.12 10.00 am – 11.00 am 17.08 1.46 7.10.12 11.00 am – 12.00 pm 16.55 0.951 7.10.12 12.00 pm – 1.00 pm 16.66 1.06 7.10.12 1.00 pm – 2.00 pm 17.36 2.45 7.10.12 2.00 pm – 3.00 pm 16.54 0.572 7.10.12 3.00 pm – 4.00 pm 16.49 0.394 7.10.12 4.00 pm – 5.00 pm 16.61 0.420 Figure 4 shows the practical data for the observation of power obtained from PV module KC40REB in KUET campus taking consideration of a distinct time interval on 3rd and 7th October in 2012. 0 20 40 60 3rd Oct. 2012 7th Oct. 2012 8.00am-9.00am 9.00am-10.00am 10.00am-11.00am 11.00am-12.00pm 12.00pm-1.00pm 1.00pm-2.00pm 2.00pm-3.00pm 3.00pm-4.00pm 4.00pm-5.00pm Figure 4: Practically power obtained from PV module KC40REB in KUET campus. IV. Characterization Of Pv Array Taking The Effect Of Temperature And Azimuth Angle Variation For observation of power characteristics of the PV system, two PV arrays are taken where each array consists of 50 strings in parallel and each string consists of 20 modules (Solarex MSX 64) in series connection. From the analysis of power of the PV system, total four different types of figures are obtained. From fig. 5, it is seen that the obtained power is 8.18 KW at the temperature of 22° whereas that power is incremented to 73.32 KW at the temperature of 37° considering tilt/azimuth angle of 21°/0°. Again fig. 6 shows that the obtained power is 9.2 KW at the temperature of 22° whereas that power is incremented to 61.3 KW at the temperature of 35° considering tilt/azimuth angle of 21°/180°. So from fig. 5 and fig. 6, it is seen that more effective power is obtained in the lower azimuth value and power is always getting higher level with increment of temperature in both cases. Now from fig. 7, it is seen that the best power incremental rate is 92.18% when temperature is changed from 23° to 25° at the tilt/azimuth angle of 21°/0° whereas in fig. 8, that rate is 62.93% when temperature is changed from 26° to 29° at the tilt/azimuth angle of 21°/180°.
  • 4. Temperature and Azimuth angle variation effect on the Building Integrated Photovoltaic Application www.iosrjournals.org 45 | Page Fig. 5: Temperature effect on power variation with Tilt/Azimuth angle of 21°/0°. Fig. 6 : Temperature effect on power variation with Tilt/Azimuth angle of 21°/180°. Fig. 7: Power incremental rate with temperature variation at Tilt/Azimuth angle of 21°/0°.
  • 5. Temperature and Azimuth angle variation effect on the Building Integrated Photovoltaic Application www.iosrjournals.org 46 | Page Fig. 8: Power incremental rate with temperature variation at Tilt/Azimuth angle of 21°/180°. V. CONCLUSION The power generation of the Building Integrated Photovoltaic Application is highly affected by the temperature variation. This paper tries to investigate the influence of temperature on power generation. The azimuth angle variation also takes the good contribution to the effective power generation of the PV system. From the analysis, it is seen that around 6.21 times initial power is obtained when the temperature is changed from 22°C to 34°C at the tilt/azimuth angle of 21°/180° whereas it is 7.25 times at the tilt/azimuth angle of 21°/0°. REFERENCES [1] Mark W. Davis, Brian P. Dougherty & A. Hunter Fanney, Prediction of Building Integrated Photovoltaic Cell Temperatures (Transactions of ASME, the Journal of Solar Energy Engineering, Special issue: Solar Thermo chemical Processing, vol.123, No. 2, PP.200-210, August 2001). http://fire.nist.gov/bfrlpubs/build01/PDF/b01037.pdf [2] Poh Khai Ng and Nalanie Mithraratne, “A Selection Framework For The Integration Of Semitransparent Bipv Windows In Singapore”, Department of Architecture, School of Design and Environment, National University of Singapore, Singapore, http://www.inta2012.org/papers/inta12-46.pdf. [3] L. Maturi, W. Sparber ,B. Kofler, W. Bresciani,” ANALYSIS AND MONITORING RESULTS OF A BIPV SYSTEM IN NORTHERN ITALY”, Institute for Renewable Energy, EURAC research, Viale Druso 1, 39100 Bolzano (BZ), Italy, http://www.eurac.edu/en/research/institutes/renewableenergy/Publications2/Documents/EURAC_RenEne_PVSEC2010_Maturi- Sparber-Kofler-Bresciani.pdf . [4] Joseph Durago, Photovoltaic emulator adaptable to irradiance, temperature and panel-specific I-V curves, California Polytechnic State University, MSEE Thesis, June 2011. [5] G. S. Campbell and J. M. Norman, “Introduction to Environmental Biophysics. 2nd ed. New York: Springer-Verlag. Pp. 167–183, 1998 [6] Reindl DT, Beckman WA, Duffie JA, “Diffuse fraction correlations”, Solar Energy 1990; 45:1-7. [7] F.J. Batlles et al, “Empirical modeling of hourly direct irradiance by means of hourly global irradiance”, Energy 25: 675-688, 2000. [8] L.T. Wong and W.K. Chow, “Solar radiation model”, Applied Energy 69: 191–224, 2001 [9] Z. Abdallah,M. Elhassan,M. Fauzi.Md..Zain, K. Sopian and A. Awadallah, ,” Output energy of photovoltaic module directed at optimum slope angle in Kuala Lumpur, Malaysia.”, Research Journal of Applied Sciences, Year-2011, Vol. :6, issue: 2, page no.: 104-109, Doi: 10.3923/rjasci.2011.104.109. [10] F.J. Batlles, M.A. Rubioa, J. Tovarb, F.J. Olmoc and L. Alados-Arboledas, “Empirical modeling of hourly direct irradiance by means of hourly global irradiance”, Energy 25: 675-688, 2000. [11] Tsalides P, Thanailakis A. Direct computation of the array optimum tilt angle in constant-tilt photovoltaic systems. Sol Cells 1985; 14:83–94. [12] Kern J, Harris I. On the optimum tilt of a solar collector. Sol Energy 1975; 17:97–102. [13] Bari S. “Optimum slope angle and orientation of solar collectors for different periods of possible utilization”. Energy Convers Manage 2000; 41:855–60. [14] Duffie JA, Beckman WA. Solar engineering of thermal processes, 2nd ed. Wiley; 1991. [15] Soleimani EA, Farhangi S, Zabihi MS. “The effect of tilt angle, air pollution on performance of photovoltaic systems in Tehran. Renew Energy” 2001; 24:459–68. [16] Nakamura H, Yamada T, Sugiura T, Sakuta K, Kurokawa K. “Data analysis on solar irradiance and performance characteristics of solar modules with a test facility of various tilted angles and directions”. Sol Energy Mater Sol Cells 2001;67:591–600