Abstract
In this paper, the technical-economic framework for designing of water pumping system based on photovoltaic clean energy with water tank storage is presented to supply drinking water of customers for remote areas. The objective function is to minimize the net present cost (NPC) (as economic index) including initial investment costs, maintenance, and replacement costs, and reliability constraint is defined as customer’s water not supplied probability (CWNSP) as technical index. A meta-heuristic intelligent water drops algorithm (IWDA) is proposed to optimize the solar water pumping system considering NPC and CWNSP with high accuracy and speed of optimization in achieving the global solution. The simulation results show that the proposed method is capable of responding to customer’s water demand by optimally sizing components and water storage tank based on IWDA which is inspired based on flowing the water drops in rivers by achieving the lowest cost with optimal reliability. The NPC of the system with CWNSP equal to 3.17 % is obtained 0.24 M$ for 6-m-high water extraction. The results showed that with increasing the water extraction height, the NPC increased, and the reliability also weakened. Moreover, the superiority of the IWDA is confirmed compared with particle swarm optimization (PSO) in designing a water pumping system with the lowest NPC.
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Abbreviations
- PPV :
-
Photovoltaic power
- NPV :
-
Number of photovoltaic panels
- ηPV :
-
Photovoltaic efficiency
- APV :
-
Photovoltaic area
- Gt :
-
Irradiance
- ηr :
-
Reference module efficiency
- ηpc :
-
Power stabilizer efficiency
- β:
-
Generator efficiency’s temperature coefficient
- Tc :
-
PV cell’s temperature (°C)
- Tcref :
-
PV cell’s reference temperature (25 °C)
- Pa :
-
Pump electrical input power
- Q:
-
Output water
- Qk :
-
Output water in iteration k
- Qk − 1 :
-
Output water in iteration k-1
- h:
-
Hour
- SOC(t):
-
State of charge at t
- SOC(t − 1):
-
State of charge at t-1
- EPV :
-
Photovoltaic energy
- EL :
-
Load energy
- ηTank :
-
Tank efficiency
- NTank :
-
Number of water tank
- VTank :
-
Volume of the tank
- NPC:
-
Net present cost
- ICcap :
-
Initial investment cost
- ICrep :
-
Replacement cost
- ICmain :
-
Maintenance cost
- CWNS :
-
Customer’s water not supply
- CWNSP :
-
Customer’s water not supplied probability
- WL :
-
Water demand
- IWDA:
-
Intelligent water drops algorithm
- T TB :
-
Total best solution
- q(T TB):
-
Quality of TTB
- vel IWD :
-
Velocity of IWD
- av, bv, and cv :
-
Constant velocity parameters
- HD(i, j):
-
Heuristic undesirability of moving from node i to node j
- bj:
-
Profit of item j
- InitVel:
-
Velocity of each IWD
- ρn :
-
Local soil updating parameter
- Pmax :
-
Rated power of PV panel
- q :
-
Charge of electron = 1.6·10−19 As
- k:
-
Boltzmann constant = 1.38·10−23 J/K
- n:
-
Diode ideality factor
- Rs :
-
Seri resistance
- In :
-
Nominal current
- Vnoc :
-
Open circuit voltage
- Isc :
-
Short circuit current
- Vmax :
-
Number of fuel cell
- Imax :
-
Number of Inverter (Inv)
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Funding
The authors gratefully acknowledge the financial support from the Universiti Teknologi Malaysia (Post-Doctoral Fellowship Scheme grant 05E09 and RUG grants 01M44, 02M18, 05G88, and 4B482) and Post-Doctoral fellow (Teaching & Learning) Scheme under MJIIT-UTM.
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Amirreza Naderipour: Writing—original draft and methodology. Saber Arabi Nowdeh: Codding, software, and validation. Manoochehr babanezhad: Visualization and optimization. Ebrahim Seifi Najmi: Conceptualization and optimization. Hesam Kamyab: Writing—reviewing and editing. Zulkurnain Abdul-Malek: Supervision.
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Naderipour, ., Nowdeh, S.A., Babanezhad, M. et al. Technical-economic framework for designing of water pumping system based on photovoltaic clean energy with water storage for drinking application. Environ Sci Pollut Res (2021). https://doi.org/10.1007/s11356-021-16342-8
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DOI: https://doi.org/10.1007/s11356-021-16342-8