Research Article  Open Access
Ahmet Z. Sahin, Shafiqur Rehman, "Economical Feasibility of Utilizing Photovoltaics for Water Pumping in Saudi Arabia", International Journal of Photoenergy, vol. 2012, Article ID 542416, 9 pages, 2012. https://doi.org/10.1155/2012/542416
Economical Feasibility of Utilizing Photovoltaics for Water Pumping in Saudi Arabia
Abstract
Energy and water are the two major need of the globe which need to be addressed for the sustenance of the human beings on this planet. All the nations, no matter most populous, developed and developing need to diversify the means and ways of producing energy and at the same time guarding the environment. This study aims at techno economical feasibility of producing energy using PV solar panels and utilizing it to pumpwater at Dhahran, Riyadh, Jeddah, Guriat, and Nejran regions in Saudi Arabia. The solar radiation data from these stations was used to generate electricity using PV panels of 9.99 kW total capacity. Nejran region was found to be most economical in terms of minimal payback period and cost of energy and maximum internal rate of return whereas PV power production was concerned. Waterpumping capacity of the solar PV energy system was calculated at five locations based on the PV power production and Goulds model 45J series of pumps. Monthly total and annual total water pumping capacities were determined. Considering the capital cost of combined solar PV energy system and the pump unit a cost analysis of water pumping for a well of 50 m total dynamic head (TDH) was carried out. The cost of water pumping was found to vary between 2 and 3 /m^{3}.
1. Introduction
Solar energy is a clean source of energy, and it does not risk human lives, environment, and economic disasters which may include oil and coal sludge spills, coal mine and devastating gas pipeline explosions, unforeseen nuclear accidents, and water supply contamination from natural gas fracking. Its utilization promotes better health through decreased coal plant emissions pollution.
Water pumps, powered by photovoltaic (PV) panels, are being used frequently to pump water for domestic usage, to irrigate crops and landscape, to cattle, and provide potable water. The advantage of using solar energy for pumping the water is that major quantities of water are required during day time and that too during time when the sun is on top of our head, and during these times the PV panels produce maximum energy and hence the water quantity. These solar pumps can be installed anywhere no matter it is a valley, remotely located farms, forest, or locations which are difficult to reach and are not connected to national electric grid. The utilization of solar water pump in developing countries is providing a workable solution to meet water needs of the people. At the same time, one can also save the environment by avoiding or minimizing the burning of fossil fuel for energy generation. The solar waterpumping technology is commercially available, hasproven record of reliability, require, minimal skilled manpower once in operation, and operation and maintenance cost is also very minimal and affordable.
Kingdom of Saudi Arabia is blessed with high intensities of solar radiations and longer durations of sunshine hours and vast open land with gentle topographical features in most of it and complex terrain in some part of it. According, Rehman et al. [1] global solar radiation varies between a minimum of 1.63 MWh/m^{2}/y at Tabuk and a maximum of 2.56 MWh/m^{2}/y at Bisha while mean value remained as 2.06 MWh/m^{2}/y. The sunshine duration varied between 7.4 and 9.4 h with an overall mean of 8.89 h or about a total of 3245 h in a year. The specific yield was found to vary from 211.5 to 319.0 kWh/m^{2} with a mean of 260.83 kWh/m^{2} [1]. The dwellings are spread all over the Kingdom with major concentrations in Dhahran on the eastern coast, Riyadh in the central part, Jeddah on the west coast, Guriat in the north most, and Nejran in the south part. Most of the major cities are connected to national electricity grid and the network of national and provincial highways. Still there are remote areas and smaller cities and towns which are not yet connected to national electricity grid and are dependent on power supply from diesel generating power stations and have isolated grids. Some of these dwellings are located in mountainous region where it is not only difficult to lay the grid but also economically prohibitive. Availability of water for domestic use and drinking purposes is a great challenge in such areas and areas which are far from the main cities or industrial regions. Ground water is available in most of these areas but they require electricity and equipment to pump the water for domestic usage, irrigation, and cattle.
Water pumping has regularly been a technical challenge, solving the problems of drinking water supply and regular irrigation was a prerequisite for the development of civilization in many of the ancient empires [2]. The PVPSs are being installed worldwide, and there were approximately 10,000 such systems in 1993 which reached to almost six time that is, 60,000 units in 1998, [3]. The ongoing efforts on performance improvement and modeling [4–9], system sizing and optimization [10–14], and performance of PV systems [15] on the basis of experimental measurements have resulted in commercially acceptable, economically affordable, and easily maintainable with least possible expertise. These developments have lead and are contributing to the improvement of the lives of remotely located dwellings.
J. S. Ramos and H. M. Ramos [16] used a pump of 154 W powered by a solar array of 195 watt peak () to pump water for village having ten families and consuming 100 L of water each with 6day immunity period and 2% permissible loss of load at a cost of 1.06 €/m^{3} and capital investment of 3019 €. OuldAmrouche et al. [17] stated that the utilization of PV waterpumping systems helped both in improving the living conditions in remote areas and keeping the environment clean. Mahmoud and ElNather [18] conducted the economical feasibility of using photovoltaic (PV) technology to pump the ground water in comparison with using diesel units. Their study proved that PVbattery system was economical compared to the diesel system. According to Kaldellis [19] the PV waterpumping systems (PVPSs) are environmentally friendly solution and contribute substantially to the satisfaction of remote communities’ water consumption needs.
PVpowered waterpumping systems have been installed and are operational in various parts of the globe including Arabian countries, and some of these installation dates back to early 1990s. Some of these studies and installations have been reported in the literature like Bhave [20] for India, Alawaji et al. [21] for the Kingdom of Saudi Arabia, Hammad [22] for Jordan, Al Suleimani and Rao [23] for Oman, AlKaraghouli and AlSabounchi [24] for Iraq, Manolakoset al. [25] for Greece, Kordab [26] for ESCWA member countries, Meah et al. [27] for, Sutthivirode et al. [28] for Thailand, and ChuecoFernández and BayodRújula [29] for Chile. In Saudi Arabia, the work has been reported on various aspects of solar energy such as radiation data prediction and estimation [30–37], photovoltaicbased cost of solar energy by generation Rehman et al. [38], availability of solar radiation and sunshine duration by Aksakal and Rehman [39], photovoltaic electricity for irrigation Rehman et al. [40] desert camping AlAli et al. [41], and solar radiation and sunshine duration maps by Mohandes and Rehman [42].
2. Input Data and Assumptions
The geographical coordinates and elevation above mean sea level of all the locations being considered in the present work are listed in Table 1. The global solar radiation values are summarized in Table 2 for Dhahran, Riyadh, Jeddah, Guriat, and Nejran. The isolated grid PV power system with 9.99 kW of installed capacity is considered for all the locations being reported in this paper. The PV systems consist of 54 modules of 185 W each with rated efficiency of 14.8%, module frame area of 1.24 m^{2}, nominal operating cell temperature of 45°C, temperature coefficient of 0.40%, and an inverter of 10 kW capacity with 90% efficiency. The miscellaneous losses in energy yield process are taken as 1%. For financial analysis, the capital cost is taken as 8US$ per with 25 years of operating life, inflation rate of 2%, debt interest rate of 7.0%, debt ratio of 70%, and debt term of 10 years. The total capital cost was calculated to be US$79,920, and it is assumed that it remains the same irrespective of location of the station. The total area covered by the PV panes was worked out to be 68 m^{2}. The schematic view of the solar PV waterpumping system considered in this work is shown in Figure 1.


3. Seasonal Variation of Solar Radiation on Horizontal Surface
Longterm monthly average global solar radiation intensities on daily basis for Dhahran, Riyadh, Jeddah, Guriat, and Nejran are summarized in Table 2. Highest intensities of 7.73, 7.87, 7.95, and 7.87 kWh/m^{2}/d were observed in the month of June at Dhahran, Riyadh, Guriat, and Nejran, respectively and of 7.17 kWh/m^{2}/d in May at Jeddah. It is also evident that relatively higher intensities were observed during April to September period which also correspond to higherdemand period for both power and water. Highest annual mean solar radiation intensity of 6.94 kWh/m^{2}/d was found at Nejran.
4. Solar Energy, Energy Density, and Greenhouse Gases Emission Analysis
The energy produced a PV array and delivered to the grid is estimated as follows: where is the area of the array, is the daily total radiation on tilted surface, and is the average efficiency of the PV array. The produced energy ( is reduced by taking into consideration the miscellaneous PV array losses, and other power conditioning losses . These losses are taken into consideration using the following equation: where is the PV array energy available to the load and the battery, if in use. The overall efficiency is defined as follows: In (1), the average efficiency of the PV array () which is a function of average temperature of the PV module is estimated using the following equation: where is the PV module efficiency at reference temperature ( = 25°C) and is the temperature coefficient for module efficiency. The module temperature is related to the mean monthly ambient temperature through Evan’s [43] formula as given below: where NOCT is the nominal operating cell temperature and the monthly mean clearness index. The values of , NOCT, , and depend on the type of PV module considered. For standard technologies and module the values of these variables are summarized in Table 3. The efficiency of photovoltaic cells varies with their operating temperature. Most cell types exhibit a decrease in efficiency as their temperature increases.

The monthly total energy estimated using (1) to (5) for all the locations is summarized in Table 4. This table also includes the energy density per unit area of the PV panel in kWh/m^{2}. At Dhahran and Riyadh the maximum energy of 1.569 and 1.596 MWh was observed in the month of October while at Jeddah (1.573 MWh), Guriat (1.517 MWh), and Nejran (2.057 MWh) in the months of March, August, and November, respectively. Similarly, the highest values of energy density of 23.07, 23.47, 23.13, 22.31, and 30.25 kWh/m^{2} corresponding to Dhahran, Riyadh, Jeddah, Guriat, and Nejran occurred in the months of October, October, March, August, and November, respectively. Based on annual total energy output, maximum energy of 19.59 MWh was produced at Nejran while a minimum of 16.325 MWh at Dhahran, as can be seen from Table 4.

As a result of utilization of solar energy for water pumping in Saudi Arabia, on an average of 3.5 tons of gas could be avoided from entering into the local atmosphere annually, as given in Table 5. Equivalently at Dhahran, Riyadh, Jeddah, Guriat, and Nejran a total of 1,420, 1,451, 1,462, 1,452, and 1,704 liters of gasoline could be saved from burning for energy production annually. On an average, during the life time of the PV panels in operation, in this case 25 years, around 87.5 tons equivalent of green house gasses could be avoided from entering into the local atmosphere, or 37,445 liters of gasoline could be saved from burning.

5. Economical Analysis of Solar Energy Production
The pretax internal rate of return (IRR) on equity (%) and assets (%), which represents the true interest yield provided by the project equity and assets over its life before income tax, is calculated using the pretax yearly cash flows and the project life and included in Table 6. In the present case, IRR has been calculated on a nominal basis that is including inflation. For a project to be considered financially acceptable, IRR is expected to be equal to or greater than the required rate of return of the investor. The simple payback (year) is the duration of time that it takes for a proposed project to recoup its own initial cost, out of the income or savings it generates. The simple payback method is the indicator that how desirable is the investment. Lesser the payback period better will be the investment. From economical analysis, it is evident that Nejran is the best location for the utilization of PV solar energy with maximum internal rate of return (IRR) of 14.0% and plant capacity of 22.4% and minimum simple payback period of 9.7 years and cost of energy of 16.32 /kWh compared to other stations used in the present work. The other remaining locations are very near to each other whereas cost of energy and other economical indicators are concerned.

The effect of initial investment cost on cost of energy (COE) was also studied to check on the sensitivity. The initial investment costs of 8, 7, 6, 5, 4, 3, and 2US$ per peak watt were considered while keeping all other interest rates the same. The resulting COE values for all the locations and initial investment rates are compared in Figure 2. It is evident that as the initial investment cost goes down, the COE also responds in the same manner. A decrease of US$1 per in the initial investment cost (i.e., 7US$ instead of 8US$) causes a decrease of 12.5% in COE (i.e., 17.13 /kWh instead of 19.58 /kWh), and, for further decrease of 1US$, the COE decreased to 14.69 /kWh or a decrease of 16.7%.
6. Performance of SolarEnergyBased Water Pumping
6.1. WaterPumping Analysis
The power required for pumping water from underground can be determined by the expression where is the density of water (kg/m^{3}), is the gravitational acceleration (m/s^{2}), is the total head , and is the volumetric flow rate of water (m^{3}/s). Assuming that the density and the gravitational acceleration do not vary significantly, the product is found to be directly proportional to the pumping power requirement. may be considered as the pumping capacity rate. Thus the equation can be rewritten as to determine the pumping capacity rate HQ in m^{4}/s for any given available power (W). Once the total head (m) is available, the volumetric flow rate of water that can be pumped from underground (m^{3}/s) can be calculated. This expression indicates that a hydraulic power of W is equivalent to a pumping capacity rate of 8.8 m^{4}/day. For the determination of the total pumping capacity for a given period of time, this equation can be written as where time is time . Accordingly, a hydraulic energy () of 1 kWh (i.e., 3600 kJ) is equivalent to a pumping capacity of 367 m^{4}. On the other hand, the required pump size P(W) can be determined from where is the pump efficiency.
6.2. WaterPumping Capacity
Twelve models of water pumps at different sizes from Goulds Pump Company were selected in the present work. Six of these are from 45J series, and the remaining six are from 70J series highcapacity flat bowl 6inch submersible pumps. Detail specifications of these pumps are given in Tables 7(a) and 7(b). The nominal flow rate of these pumps at best efficiency ranges from 45 to 70 GPM, and their motor size ranges from 3 to 25 HP. Depth of water for which the pumps operate ranges from 100 to 1350 feet. Nominal flow capacity rate of each pump (in m^{4}/hr) is also given in the last column in Table 7.
(a) Specifications of Goulds water pumps 45J series considered  
 
Data at best efficiency (%60).  
(b) Specifications of Goulds water pumps 70J series considered  
 
Data at best efficiency (%62). 
Figure 3 shows the nominal flow capacity rate variation of the pumps at best efficiency point as function of the power consumption. As can be seen from this figure, the nominal flow capacity rate is almost linear with the power (or size) of the pump in each series of pumps. The least squares fit line for the data is shown on the figure for each series. The slopes of the lines are slightly different from each other as a result of different efficiencies of pumps. 70J series pumps are slightly more efficient (62% max) than the 45J series pumps (60% max). Accordingly, the relationship of nominal flow capacity rate and the power for each series of pumps can be expressed as follows: Flow capacity rate (m^{4}/hr) = 227.87 Power (kW) for 45J series Flow capacity rate (m^{4}/hr) = 259.85 Power (kW) for 70J series.
The flow rate in m^{3}/hr is obtained by dividing the flow capacity rate with the total dynamic head (TDH).
Monthly total volumetric flow of water from a depth of 50 m total dynamic head using solar PVoperated Goulds model 45J series pumps is shown in Figure 4. The maximum efficiency of the pumps in this series is 60%. Monthly total volumetric flow of water shows fairly uniform variation throughout the year except for the Nejran site. In Nejran site the volumetric flow is found to be considerably higher during the winter months as compared with that during the summer months. This is due to the high solar energy availability during the winter months in the site of Najran. Referring to Table 4, the yearly average solar electric power generation from the solar PV panels considered in the five sites, namely, Dhahran, Riyad, Jeddah, Guriat, and Nejran is 1.86, 1.90, 1.92, 1.90, and 2.24 kW, respectively. Therefore the most suitable pump model for the solar PV energy generator is the 45J03 model that comes with 5 hp (2.24 kW) motor and efficiently operates with a TDH of 54.58 m as can be seen from Table 7(a). This is the reason why the TDH is fixed to be 50 m in Figure 4. The annual total volumetric flow of water for the same solar PV energy generator is shown in Figure 5 for the five sites considered. The variation of the annual total volumetric flow among the sites considered is minimal except for the case of Nejran site where the annual total volumetric flow is about 18% more than the other sites.
Figure 6 shows the cost (price) of water pumps considered in this study. The price of water pumps is found to increase with the size of the pumps. The variation shows a nearly linear trend for both series of pumps considered. This trend can be expressed in firstorder approximation for both the pump series as Price ($) = 102.55 Power (kW) + 425.09 for 45J series Price ($) = 93.158 Power (kW) + 384.18 for 70J series of pumps.
Considering both of the relationships, a representative linear relation applicable for all the pump can be obtained by
Considering the pump model 45J03, a cost of USD630 is added to the capital cost of solar PV system. Therefore the cost of water produced from a well of 50 m TDH becomes 2.69, 2.63, 2.61, 2.63, and 2.24 /m^{3} for Dhahran, Riyadh, Jeddah, Guriat, and Nejran, respectively, as shown in Table 8. The average pumping cost of water per cubic meter is found to be 2.56 .

7. Conclusions
An economical feasibility study was carried out in relation to producing electrical energy using PV solar panels for pumping underground water at Dhahran, Riyadh, Jeddah, Guriat, and Nejran sites in Saudi Arabia. A solar PV energy generation system producing 9.99 kW of electrical energy was considered. The electrical energy generated was used to calculate the underground waterpumping capacity at each of the five sites. The following conclusions can be derived from the present work.(i)The annual total energy output was found to be the maximum (19.59 MWh) at Nejran site while it was a minimum (16.325 MWh) at Dhahran site. (ii)The Nejran site was found to be most economical in terms of minimal payback period and cost of energy and maximum internal rate of return. (iii)Goulds model 45J series of pumps were found to be suitable to be integrated with the solar PV energy generation system. (iv)Based on the solar PV electrical energy generation, monthly total waterpumping capacities were found to be nearly uniform throughout the year except for the Nejran site. Considerably higher water production capacity was observed during the winter months in Nejran. (v)Annual total waterpumping capacities were almost equal in all the sites considered except for the Nejran site where the waterpumping capacity was %18 higher. (vi)The cost analysis of water pumping system indicated that, for a well of 50 m total dynamic head (TDH), the cost of water pumping vary between 2 and 3 /m^{3} in all the five sites in Saudi Arabia.
Acknowledgment
The authors would like to acknowledge the support provided by King Abdulaziz City for Science and Technology (KACST) through the Science and Technology Unit at King Fahd University of Petroleum and Minerals (KFUPM) for funding this work through project no. 09ENE77904 as part of the National Science, Technology and Innovation Plan.
References
 S. Rehman, M. A. Bader, and S. A. AlMoallem, “Cost of solar energy generated using PV panels,” Renewable and Sustainable Energy Reviews, vol. 11, no. 8, pp. 1843–1857, 2007. View at: Publisher Site  Google Scholar
 W. Bucher, “Aspects of solar water pumping in remote regions,” Energy for Sustainable Development, vol. 3, no. 4, pp. 8–27, 1996. View at: Publisher Site  Google Scholar
 R. Barlow, B. McNeils, and A. Derrick, “Solar pumping: an introduction and update on the technology, performance, costs, and economics,” World Bank technical paper no.168, Intermediate technology publications and the World Bank, Washington, DC, USA, 1993. View at: Google Scholar
 A. J. van Staden, J. Zhang, and X. Xia, “A model predictive control strategy for load shifting in a water pumping scheme with maximum demand charges,” Applied Energy, vol. 8, pp. 4785–4794, 2011. View at: Publisher Site  Google Scholar
 S. Sallem, M. Chaabene, and M. B. A. Kamoun, “Energy management algorithm for an optimum control of a photovoltaic water pumping system,” Applied Energy, vol. 86, no. 12, pp. 2671–2680, 2009. View at: Publisher Site  Google Scholar
 Z. Şen and Ş. M. Cebeci, “Solar irradiation estimation by monthly principal component analysis,” Energy Conversion & Management, vol. 49, no. 11, pp. 3129–3134, 2008. View at: Publisher Site  Google Scholar
 M. Xu, R. V. N. Melnik, and U. Borup, “Modeling antiislanding protection devices for photovoltaic systems,” Renewable Energy, vol. 29, no. 15, pp. 2195–2216, 2004. View at: Publisher Site  Google Scholar
 H. Kawamura, K. Naka, N. Yonekura et al., “Simulation of IV characteristics of a PV module with shaded PV cells,” Solar Energy Materials and Solar Cells, vol. 75, no. 34, pp. 613–621, 2003. View at: Publisher Site  Google Scholar
 M. C. Fedrizzi, F. S. Ribeiro, and R. Zilles, “Lessons from field experiences with photovoltaic pumping systems in traditional communities,” Energy for Sustainable Development, vol. 13, no. 1, pp. 64–70, 2009. View at: Publisher Site  Google Scholar
 D. B. Nelson, M. H. Nehrir, and C. Wang, “Unit sizing and cost analysis of standalone hybrid wind/PV/fuel cell power generation systems,” Renewable Energy, vol. 31, no. 10, pp. 1641–1656, 2006. View at: Publisher Site  Google Scholar
 A. Hamidat and B. Benyoucef, “Mathematic models of photovoltaic motorpump systems,” Renewable Energy, vol. 33, no. 5, pp. 933–942, 2008. View at: Publisher Site  Google Scholar
 X. Gong and M. Kulkarni, “Design optimization of a large scale rooftop photovoltaic system,” Solar Energy, vol. 78, no. 3, pp. 362–374, 2005. View at: Publisher Site  Google Scholar
 M. S. S. Ashhab, “Optimization and modeling of a photovoltaic solar integrated system by neural networks,” Energy Conversion & Management, vol. 49, no. 11, pp. 3349–3355, 2008. View at: Publisher Site  Google Scholar
 W. De Soto, S. A. Klein, and W. A. Beckman, “Improvement and validation of a model for photovoltaic array performance,” Solar Energy, vol. 80, no. 1, pp. 78–88, 2006. View at: Publisher Site  Google Scholar
 A. H. Arab, F. Chenlo, K. Mukadam, and J. L. Balenzategui, “Performance of PV water pumping systems,” Renewable Energy, vol. 18, no. 2, pp. 191–204, 1999. View at: Publisher Site  Google Scholar
 J. S. Ramos and H. M. Ramos, “Solar powered pumps to supply water for rural or isolated zones: a case study,” Energy for Sustainable Development, vol. 13, no. 3, pp. 151–158, 2009. View at: Publisher Site  Google Scholar
 S. OuldAmrouche, D. Rekioua, and A. Hamidat, “Modelling photovoltaic water pumping systems and evaluation of their CO_{2} emissions mitigation potential,” Applied Energy, vol. 87, no. 11, pp. 3451–3459, 2010. View at: Publisher Site  Google Scholar
 E. Mahmoud and H. ElNather, “Renewable energy and sustainable developments in Egypt: photovoltaic water pumping in remote areas,” Applied Energy, vol. 74, no. 12, pp. 141–147, 2003. View at: Publisher Site  Google Scholar
 J. K. Kaldellis, E. Meidanis, and D. Zafirakis, “Experimental energy analysis of a standalone photovoltaicbased water pumping installation,” Applied Energy, vol. 88, pp. 4556–4562, 2011. View at: Publisher Site  Google Scholar
 A. G. Bhave, “Potential for solar waterpumping systems in India,” Applied Energy, vol. 48, no. 3, pp. 197–200, 1994. View at: Google Scholar
 S. Alawaji, M. S. Smiai, S. Rafique, and B. Stafford, “PVpowered water pumping and desalination plant for remote areas in Saudi Arabia,” Applied Energy, vol. 52, no. 23, pp. 283–289, 1995. View at: Google Scholar
 M. A. Hammad, “Characteristics of solar water pumping in Jordan,” Energy, vol. 24, no. 2, pp. 85–92, 1999. View at: Publisher Site  Google Scholar
 Z. Al Suleimani and N. R. Rao, “Windpowered electric waterpumping system installed in a remote location,” Applied Energy, vol. 65, no. 1, pp. 339–347, 2000. View at: Publisher Site  Google Scholar
 A. AlKaraghouli and A. M. AlSabounchi, “A PV pumping system,” Applied Energy, vol. 65, no. 14, pp. 145–151, 2000. View at: Publisher Site  Google Scholar
 D. Manolakos, G. Papadakis, D. Papantonis, and S. Kyritsis, “A standalone photovoltaic power system for remote villages using pumped water energy storage,” Energy, vol. 29, no. 1, pp. 57–69, 2004. View at: Publisher Site  Google Scholar
 M. Kordab, “Priority option of photovoltaic systems for water pumping in rural areas in ESCWA member countries,” Desalination, vol. 209, no. 1–3, pp. 73–77, 2007. View at: Publisher Site  Google Scholar
 K. Meah, S. Fletcher, and S. Ula, “Solar photovoltaic water pumping for remote locations,” Renewable and Sustainable Energy Reviews, vol. 12, no. 2, pp. 472–487, 2008. View at: Publisher Site  Google Scholar
 K. Sutthivirode, P. Namprakai, and N. Roonprasang, “A new version of a solar water heating system coupled with a solar water pump,” Applied Energy, vol. 86, no. 9, pp. 1423–1430, 2009. View at: Publisher Site  Google Scholar
 F. J. ChuecoFernández and A. BayodRújula, “Power supply for pumping systems in northern Chile: photovoltaics as alternative to grid extension and diesel engines,” Energy, vol. 35, no. 7, pp. 2909–2921, 2010. View at: Publisher Site  Google Scholar
 S. Rehman and M. Mohandes, “Estimation of diffuse fraction of global solar radiation using artificial neural networks,” Energy Sources A, vol. 31, no. 11, pp. 974–984, 2009. View at: Publisher Site  Google Scholar
 S. Rehman and M. Mohandes, “Artificial neural network estimation of global solar radiation using air temperature and relative humidity,” Energy Policy, vol. 36, no. 2, pp. 571–576, 2008. View at: Publisher Site  Google Scholar
 S. Rehman and T. O. Halawani, “Global solar radiation estimation,” Renewable Energy, vol. 12, no. 4, pp. 369–385, 1997. View at: Google Scholar
 S. Rehman and T. O. Halawani, “Development and utilization of solar energy in Saudi Arabia—review,” Arabian Journal for Science and Engineering, vol. 23, no. 1, pp. 33–46, 1998. View at: Google Scholar
 S. Rehman, “Solar radiation over Saudi Arabia and comparisons with empirical models,” Energy, vol. 23, no. 12, pp. 1077–1082, 1998. View at: Publisher Site  Google Scholar
 M. Mohandes, S. Rehman, and T. O. Halawani, “Estimation of global solar radiation using artificial neural networks,” Renewable Energy, vol. 14, no. 1–4, pp. 179–184, 1998. View at: Publisher Site  Google Scholar
 S. Rehman, “Empirical model development and comparison with existing correlations,” Applied Energy, vol. 64, no. 1–4, pp. 369–378, 1999. View at: Publisher Site  Google Scholar
 S. Rehman and S. G. Ghori, “Spatial estimation of global solar radiation using geostatistics,” Renewable Energy, vol. 21, no. 34, pp. 583–605, 2000. View at: Publisher Site  Google Scholar
 S. Rehman, M. A. Bader, and S. A. AlMoallem, “Cost of solar energy generated using PV panels,” Renewable and Sustainable Energy Reviews, vol. 11, no. 8, pp. 1843–1857, 2007. View at: Publisher Site  Google Scholar
 A. Aksakal and S. Rehman, “Global solar radiation in Northeastern Saudi Arabia,” Renewable Energy, vol. 17, no. 4, pp. 461–472, 1999. View at: Publisher Site  Google Scholar
 S. Rehman, A. A. Shash, and O. S. B. AlAmoudi, “Photovoltaic technology of electricity generation for desert camping,” International Journal of Global Energy Issues, vol. 26, no. 34, pp. 322–340, 2006. View at: Publisher Site  Google Scholar
 A. R. AlAli, S. Rehman, S. AlAgili, M. H. AlOmari, and M. AlFayezi, “Usage of photovoltaics in an automated irrigation system,” Renewable Energy, vol. 23, no. 1, pp. 17–26, 2001. View at: Publisher Site  Google Scholar
 M. Mohandes and S. Rehman, “Global solar radiation maps of Saudi Arabia,” Journal of Energy and Power Engineering, vol. 4, no. 12, pp. 57–63, 2010. View at: Google Scholar
 D. L. Evans, “Simplified method for predicting photovoltaic array output,” Solar Energy, vol. 27, no. 6, pp. 555–560, 1981. View at: Google Scholar
Copyright
Copyright © 2012 Ahmet Z. Sahin and Shafiqur Rehman. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.