Technoeconomical Assessment of Optimum Design for Photovoltaic Water Pumping System for Rural Area in Oman

Photovoltaic (PV) systems have been used globally for a long time to supply electricity for water pumping system for irrigation. System cost drops downwith time since PV technology, efficiency, and designmethodology have been improved and cost of wattage drops dramatically in the last decade. In the present paper optimumPV system design for water pumping system has been proposed for Oman. Intuitive and numerical methods were used to design the system. HOMER software as a numerical method was used to design the system to come up with optimum design for Oman. Also, REPS.OM software has been used to find the optimum design based on hourly meteorological data. The daily solar energy in Sohar was found to be 6.182 kWh/m⋅day. However, it is found that the system annual yield factor is 2024.66 kWh/kWp. Furthermore, the capacity factor was found to be 23.05%, which is promising.The cost of energy and system capital cost has been compared with that of diesel generator and systems in literature.The comparison shows that the cost of energy is 0.180, 0.309, and 0.790USD/kWh for PV-REPS.OM, PV-HOMER, and diesel systems, respectively, which sound that PV water pumping systems are promising in Oman.


Introduction
The continuous increase in electrical global demand and concern of environment due to pollution from human kind activities leads to exploring new and clean energy technology.Photovoltaics (PV) could be one of the important solutions since it is clean and renewable and tested for a long period of time.It is currently widely used for different applications.However, in the past the drawback of PV was their high initial cost in comparison with conventional energy systems.The situation has been changed due to increase of fossil fuel prices and on the other hand PV technology prices get down, efficiency has been increased, and manufacturing technology has been improved.The increase in efficiency reflected in the price of energy production.This could be on the level of manufacturing or on the level of system design.Optimization is very important to find the optimum system components.The typical system components of PV systems are as follows: PV module-array to generate DC power; charger, controller, and inverter to charge the storage battery and supply the AC load with power, respectively.Different techniques are used for optimization of PV systems [1].These techniques could be categorized into intuitive, numerical, and analytical techniques.In numerical technique many software applications are available to optimize energy systems.HOMER is one of these software applications.HOMER is used to investigate the feasibility of the PV system, which is developed by the National Renewable Energy Laboratory (NREL).Renewable and nonrenewable system could be modeled by HOMER.The algorithms of the software are used to evaluate the system to find the feasible system components in terms of technical and economical side views [2].The author [1] designed MATLAB based user friendly software tool called the REPS.OM for optimal sizing of PV systems in Oman.The developed REPS.OM software tool aims to design PV system at minimum cost for Oman.REPS.OM calculates the optimum PV array-module tilt angle which is used to perform the optimization of PV system.In addition, it calculates the optimum inverter size for the PV system.Moreover, REPS.OM simulates the optimized PV system so as to investigate its performance for a period of one year.

International Journal of Photoenergy
The application of optimization techniques for designing PV systems for water pumping and other applications can be found in [3][4][5][6][7].In [3], the authors designed and investigated hybrid PV/diesel generator system using HOMER to supply village with energy consumption of 279 kWh/day, in Ethiopia.The optimum design found 95% of energy to be provided by PV and 5% from a diesel generator.The cost of the energy was found to be 0.401 USD/kWh.In [4], the authors proposed water pumping system supplied by PV array in Algeria.They developed optimum design using MATLAB.The loss of power supply probability and life cycle cost are the two criteria used to judge the system technically and economically to find the optimum design.In [5,6], the authors designed PV system to power lighting load for lab and typical house load in Oman, respectively.The authors used HOMER to find the optimum design and they claimed that the cost of energy is 0.561 USD/kWh and 0.389 USD/kWh, respectively.In [7], the authors proposed optimum design of hybrid PV/biomass system using HOMER to supply village in India.The energy was used for cooking and to supply water pumping system for irrigation.The cost of energy was found to be 0.170 USD/kWh.In [8], there is a comparison study of PV and diesel generator supply water pumping system for irrigation in the Northern Badia of Jordan.LPSP concept has been used.Comparison of PV and diesel engine pumping systems shows that the cost is 0.20 USD/m 3 and 0.58 USD/m 3 for PV and diesel, respectively.It shows that the PV system is cost effective with respect to the diesel engine in rural area.But cost is differing from site to site.Also, it is found that different options could be used to supply water pumping systems in rural area.Standalone PV, diesel generator, or hybrid PV-diesel system is an option.In this paper the PV water pumping feasibility technical and economic analysis is presented for the system in Sohar, Oman.HOMER and REPS.OM software applications have been used for design and assessment, which contain a different system elements selection, cost of energy, and pollution.

Sohar Solar Energy
Sultanate of Oman lies between longitudes 51 ∘ 50  E and 59 ∘ 40  E and latitudes 16 ∘ 40  N and 26 ∘ 20  N. Oman climatic conditions in general are desert in most regions and humid near the coast, which is 1700 km long.Also, Oman has 8.0-10.5 hours of daily sunshine duration, peak hours of 6.0-6.5, 342 sunny days, and average solar radiation of 5.197 kWh/m 2 /day [1].
Sohar is the second large city in Oman and represents the heart of North Al-Batinah region.It falls in North Oman on 24N and 56E latitude and longitude, respectively.Hourly solar radiation data was measured for complete year for this study.The WS-STD1 weather station has been installed on Renewable Energy Lab in Sohar University.The weather station comprises 11 sensors (solar global radiation, direct solar radiation, diffuse solar radiation, rain, wind speed and direction, solar energy, air temperature, ambient temperature, air pressure, and relative humidity), with 2 m mast, canopy, and accessories.Data logger was used to monitor and record the hourly data on computer for a complete year.
The measured solar radiation data are shown in Figure 2. The solar radiation in Sohar is various in the range of 3.2 to 6.2 kWh/m 2 /day and in average of 5.55 kWh/m 2 /day with high clearing index as shown in Figure 3.

Sizing of PV Water Pumping Systems
The PV systems are categorized based on the component configuration into grid connected and standalone systems.The grid connected system is used to generate and inject the energy directly to the utility grid.Examples of grid connected PV array found in house roof and large scale PV plants.The PV generates DC power which converted to AC with the same grid specifications; then it is integrated with the grid.The inverter was programmed and protected to take in consideration the grid cutoff situation.The grid connected systems not only are attractive for governments and industrial companies but also start to be attractive for individuals especially in countries that have feed in tariff.
The standalone PV system is mainly used in rural and isolated areas.It works independently for the grid to supply particular AC or DC loads.The stand-alone system could be an only PV array or it could connect with other renewable sources like wind, solar thermal, hydro-, geothermal systems, and so forth or it could be connected with nonrenewable sources like diesel, natural gas, and so forth.These hybrid systems are used widely as hybrid systems.The simple standalone PV system contains PV modules, batteries (optional) for storage with charge controller, and inverter in the case of AC load.Since the batteries are costly and need maintenance the PV module could be used directly to supply common loads on the day like water pumping systems [1].
PV water pumping in general is cost effective in rural area.It is an excellent choice for isolated and desert areas.Besides providing energy from PV to the water pumping system it has also reduced environmental pollution.On the other hand, pure drinking water and water use for irrigation are a critical need in rural area in developing countries such as Africa, Asia, and South America [9].There is old history for water pumping system.Many methods have been used for pumping water utilizing different power sources.These sources are, namely, animal, human, hydro-, solar, and wind powers.Definitely the conventional engines use diesel or fossil fuel being also an option.Recently, due to the improvement in PV efficiency and reduction in PV prices solar PV became attractive to supply water pumping systems.Usually there are three different applications for PV water pumping systems: irrigation, livestock watering, and village water supply.In this section intuitive method was used to design PV water pumping system as shown in Figure 1.

Hydraulic Sizing.
The essential information for hydraulic sizing is the required daily water volume, pumping head and hours per day, pipe length and material, and pump efficiency and pressure.The pumping power is calculated as follows [8]: where  is the water density kg/m 3 ,  is acceleration due to gravity m/s 2 , ℎ and Δ are total pumping head and hydraulic losses in m, volume of flow  in m 3 /s, and   and   are pump and electric motor efficiencies, respectively.Also, the required hydraulic energy in kWh/day is calculated as follows: where  is the volume required in m 3 /day,   is the subsystem efficiency, and  PV is the PV energy.

PV System Sizing.
The PV array is used to convert solar energy to DC electrical energy.The quality of DC power improved through power conditioner and converted to AC power using an inverter.The energy produced by PV array in kW is calculated and is given by [10] where  PV is the area of the PV array in m 2 and   is daily solar radiation in kWh/m 2 ;  module ,  inv , and  wire are efficiencies of PV module, inverter, and wires, respectively.The area  PV is calculated from ( 2) and (3) as follows: where  PV is the summation of module, inverter, and wire efficiencies.Accordingly, the required PV array power is calculated in kW as follows: where  is the mismatch factor which is in the range of 0.85-0.90and  is the daily subsystem efficiency 0.2-0.6 typically [10,11].The PV/pump system efficiency is given by

PV Water Pumping Systems Components
In this study the proposed system consists of PV array containing few modules, charge controller and inverter, batteries for storage, and the rest of system components like wires, protections, sensors, and module structure.The system configuration is shown in Figure 4.This figure shows the PV water pumping system proposed for irrigation in Sohar, Oman.It is worth mentioning that in this study the selected well depth is 16 m, static water level is 6.5 m, dynamic water level is 7.2 m, well productivity is 8.1 m 3 /h, design criteria are 4.5 m 3 /day, and pump head is 18 m.In the coming subsections HOMER software will be used first to find the optimum system design.

Water Pump.
The intuitive method discussed in Sections 3.1 and 3.2 has been used to estimate the required PV system components.Equations ( 2) and ( 5) are used to calculate energy required for pumping water, which is 2.197 kWh/day, and PV array is 0.88 kW.Also, the motor pump was estimated to be 450 W, 230 V, and 50 Hz.It is worth mentioning that the pump works on peak hours.

PV Array.
The solar cell is used to convert solar radiation into electricity.These cells are connected in series and are parallel to produce PV modules.The PV modules also connected series and are parallel to produce PV array.The proposed PV panels to be used in the system simulation are 140 W (at static test condition STC, insolation is 1000 W/m 2 and temperature 25 ∘ C) and 12 V and have an estimated capital cost of USD 2.00/W and replacement cost of USD 1.07/W.This cost includes mounting hardware, installation, commissioning, wiring, control system, dealer mark-ups, and shipping.The estimated lifetime is 25 years.A derating factor was selected to be of 90%.In this analysis we considered the panels tilt angle to be 24 ∘ (Sohar latitude).

Charger Controller and
Inverter.The charger controller and inverter are electrical convert circuits which are used to convert electric power from DC to DC and AC, respectively.The lifetime of converters is up to 15 years with 94% efficiency and estimated price of an inverter is USD 0.5/W.

Battery.
Batteries are used to store the energy produced by the PV array.The battery efficiency depends on the state of charge and discharge, which affect the life of the battery.Also, it is worth mentioning that HOMER software does not take into consideration variation in temperature or any degradation in battery performance.In addition batteries remain constant throughout their lifetime.The proposed battery has a 12 V, 200 Ah capacity.Its lifetime is considered to be 12 years.

Technoeconomical Assessment Criteria.
To assess the system technically and economically four criteria have been used in this study as follows.
(i) Technical criteria: capacity factor (CF) and yield factor (YF) are applied to evaluate the productivity of the proposed system.
(ii) Economic criteria: payback period (PBP) and the cost of energy (CoE) are used to assess the feasibility of the proposed system.
The ratio of actual annual energy output to the amount of energy the PV array would generate if it operates at full rated power (  ) for 24 h per day for a year represents the annual capacity factor which is calculated as follows: Meanwhile, the daily, monthly, or annual net AC energy output of the system divided by the peak power of the installed PV array at STC represents the yield factor which is calculated as follows [12]: On the other hand, the cost of energy and payback period criteria are used to assess the system economically.The life cycle cost (LCC) of a PV system may also include costs for system design, installation labor, site preparation, operation, and maintenance costs.The life cycle cost is calculated as follows: The different components taken into account in calculating LCC are as follows: capital cost  capital , replacement cost  replacement , maintenance cost  O&M , and salvage value  salvage . PW represents the present value of each factor which is calculated using the future sum of money (  ) in a given year () at a given discount rate (): After calculating LCC, the cost of energy is calculated using where  PVannual is the annual energy production of the PV system, while  is the system lifetime in years.Finally, the payback period is calculated as follows:

Optimum System Design.
In this research solar water pumping system has been designed for irrigation in Sohar, Oman.This system contains 0.45 kWp water pump.The system has been installed at Sohar zone for research work purposes.The feasibility of the proposed solar water pumping system was designed and analyzed using HOMER and REPS.OM to find the optimum system component.HOMER and REPS.OM were used to model different system elements and check the component physical behaviour and its life cycle cost.The optimum system components have been selected based on their technical and economic merits.Table 1 shows the specification of the optimum module and inverter.The schematic diagram in HOMER model for the built PV system is presented in Figure 5. Since the solar radiation is high enough between 11:00 AM and 4:00 PM it is worth generating electricity in this period to supply the pump to fill the tank.The economic assumptions of the system and the load analysis calculation are given in Tables 2 and 3, respectively.The suggested PV module for simulation of the optimum system used in this study is 12 V, 140 Wp.Different PV module capacities are introduced and considered in the analysis which is in the range of 1-10 modules.The suggested battery was 12 V, 200 Ah capacities with estimated cost of 140 USD.Also, for sensitivity analysis, the range of batteries is assumed to be 1-5 battery banks.Furthermore, the inverter efficiency was assumed to be 94% for all considered sizes with estimated cost of 0.5 USD/W and lifetime of 15 years.The inverter range was selected to be 0.1-1.0kW for analysis consideration.

Discussion and Analysis
After running the system model in HOMER, 704 feasible solutions are found and out of these 10 best solutions ranked according to the system minimum net present cost (NPC) and cost of energy (CoE) are shown in Table 4.The table shows that the greatest optimal result is achieved when the system is composed of 0.84 kW PV array (6 modules), 4 batteries, and 0.8 kW inverter.The optimum solution to the total NPC is 3,200 USD with operating cost of 63 USD/year and the cost of energy equals 0.309 USD/kWh.On the other hand, REPS.OM found that the optimum result is achieved when the system is composed of 0.56 kW PV array (4 modules), 2 batteries, and 0.45 kW inverter.Furthermore REPS.OM optimum solution found that the total NPC is 1,880 USD with operating cost of 33 USD/year and the cost of energy equals 0.18 USD/kWh.It is worth mentioning that optimum tilt angle was found to be 27 ∘ for Sohar.The fossil fuel generator has been simulated for comparison to supply the same water pump as shown in Figure 6.There are different types of generators commercially available (propane, diesel, biofuel, and gasoline).In this study, the diesel fuel generator has been used, since it is more efficient and has a longer lifetime in comparison with others and because it is the used fuel in Oman as it is considered as one of the suppliers of fuel.Rural Areas Electricity Company (RAECO) generation system fuel is diesel.Its diesel price is subsidies from the Omani Government and accounted for 46 Baiza/Litre, which is equivalent to 0.38 USD/Litre [12].On the other hand it is found that global diesel price on January 2014 is 1.38 USD/Litre [13].In this part the water pump system supplied from diesel generator has been investigated for comparison with designed PV systems.
The fuel price tested 0.38 and 1.38 USD/Litre with and without the government subsidy, respectively.The price of the generator is 500 USD and we considered the generator size of 500 W in the analysis.To compare the PV system results with the diesel generator to choose the best and costless system, the analysis shows that a size of 1000 W generator has been estimated with capital, operating, and total net cost being 1000 USD, 562 (USD/yr), and 8,185 USD, respectively, as shown in Table 5.The CoE is found to be 0.79 (USD/kWh), which is considered to be high as compared with CoE of the proposed PV system (0.18 and 0.309 (USD/kWh)).
The energy generated shares from REPS.OM proposed system are shown in Figure 7. PV system availability is calculated as the percentage of time that a power system is capable of meeting load requirements, where it is found that the system availability is 98%.It is found that REPS.OM optimum system availability is higher than HOMER and intuitive method systems.However, Figure 7 shows the complete year performance of the proposed system.From the figure, it is clearly seen that the solar energy covers most of the system load and the battery is intensively used through the year, time which makes it able to supply the load in some extremely cloudy days.However, it is found that the system annual yield factor is 2024.66kWh/kWp.Furthermore, the capacity factor was found to be 23.05%, which is promising since the typical one is 21%.
Emission of green-house gases from the fuel of the equivalent conventional system is important.Adopting solar PV systems will protect the environment from the harmful green-house gases.Table 6 shows the polluted emissions produced by the diesel generator used to supply the water pump.Furthermore, in comparison between subsidized and nonsubsidized fuel cost it is found that the CoE is 0.79 and 1.228 USD/kWh, respectively.This means that besides the protection of the environment the cost of diesel is relatively high and part of the cost covered by the government could be used for other economic projects if the PV technology has been adopted.
The comparisons of the cost of energy in the modelled system are shown in Table 7.The proposed system cost is acceptable in comparison with the cost of PV systems in  [4], [5], [6], [14], and [15], 0.401, 0.561, 0.389, 0.21-0.304,and 0.361-0.327USD/kWh, respectively.Also, it is found that the cost of PV systems is promising in comparison with the proposed diesel system (0.790 and 1.228 USD/kWh) and the energy cost of diesel engine system in [15,16] 0.5581 USD/kWh.Furthermore, regardless of the fact that hybrid systems technically and economically are effective, it is found that the proposed PV system is economical in comparison with [8] where the cost of energy is 0.200-0.580USD/kWh, which make PV water pumping system be a good option for irrigation in rural areas of Oman.

Conclusions
In this study PV water pumping system for Sohar, Oman, has been designed and assessed.Optimum selection of system components, PV modules, inverter, charger controller, and batteries, Oman, has been determined.The system has a daily load of 2.22 kWh/day, 0.84 kW PV modules, 4 batteries (12 V and 200 Ah), and 0.8 kW inverter.The results have shown that the optimum cost of PV system energy 0.309 USD/kWh is attractive option in comparison with the cost of diesel engine energy 0.79 USD/kWh.Also, it is found that most PV system options are feasible more than the diesel generator option.Also, investigations show that the proposed system is cost effective with designed systems in literature.
In addition, it is found that PV solar water pumping systems could be an excellent option for irrigation in rural areas of Oman.Moreover, the analysis shows that replacing diesel generator by PV system will protect the environment from green-house gas emission 924 kg/year of CO 2 , 2.28 kg/year of CO, 0.253 kg/year of NOx, 0.172 kg/year of HC, 1.86 kg/year of SO 2 , and 20.4 kg/year of suspended particles.

Figure 3 :
Figure 3: Profile of solar radiation in Sohar, Oman.

Figure 5 :
Figure 5: HOMER schematic diagram for the solar PV water pumping system.

1 ACFigure 6 :
Figure 6: HOMER schematic diagrams for the diesel generator water pumping system.

Table 2 :
Economic assumption of PV system.

Table 3 :
Scaled data for simulation.

Table 4 :
Optimum solution for the proposed PV system using HOMER.

Table 5 :
Diesel system results for 0.38 USD/Litre.

Table 6 :
Diesel systems green-house gases emission.

Table 7 :
Systems cost of energy comparison.