Sustainable Water Generation on a Mediterranean Island in Greece
Abstract
:1. Introduction
2. Methods
2.1. Water Network Design
2.2. Desalination Plants
2.3. Wastewater Treatment Plants
2.4. Economic Analysis
3. Results and Discussion
3.1. Water Networks Proposed
3.1.1. Zones 1 and 2
3.1.2. Zones 3 and 4
3.1.3. Comparison with Current Situation
4. Conclusions
Author Contributions
Funding
Conflicts of Interest
Appendix A
Scenario 1 | |||||
---|---|---|---|---|---|
Current plant | Concentrated solar power plant (CSP) | Plant after the enlargement | |||
PFI* | 41,449,819 | € | PFI | 50,957,419 | € |
Price/kW | 5282 | €/kW | Price/kW | 5282 | €/kW |
Power | 7.847 | MW | Power | 9.647 | MW |
Terrain cost | 916,000 | € | Terrain cost | 1,126,108.556 | € |
Terrain | 183,200 | m2 | Terrain | 225,221.7111 | m2 |
Hybrid plant | Hybrid plant | ||||
Rest of the plants (cost) | 15,568,922 | € | Rest of the plants (cost) | 15,568,922 | € |
Total PFI | 57,018,741 | € | Total PFI | 66,526,341 | € |
TRR* | 10,168,125 | €/year | TRR | 11,565,249 | €/year |
Energy supplied | 25,000 | MWh/year | Energy supplied | 25,000 | MWh/year |
Terrain cost total | 1,519,255 | € | Terrain cost total | 1,729,363.556 | € |
Price of electricity | 406.725 | €/MWh | Price of electricity | 462.609 | €/MWh |
Scenario 2 | |||||
Current plant | PV | Plant after the enlargement | |||
PFI | 17,915,100 | € | PFI | 20,985,900 | € |
Price/kW | 1706 | €/kW | Price/kW | 1706 | €/kW |
Power | 10.501 | MW | Power | 12.301 | MW |
Terrain cost | 617,645 | € | Terrain cost | 723,514.588 | € |
Terrain | 123,529 | m2 | Terrain | 144,702.917 | m2 |
Hybrid plant | Hybrid plant | ||||
Rest of the plants (cost) | 37,534,371 | € | Rest of the plants (cost) | 37,534,371 | € |
Total PFI | 55,449,471 | € | Total PFI | 58,520,271 | € |
TRR | 9,610,162 | €/year | TRR | 10,066,939 | €/year |
Energy supplied | 25,000 | MWh/year | Energy supplied | 25,000 | MWh/year |
Terrain cost total | 1,807,940 | € | Terrain cost total | 1,913,809.589 | € |
Price of electricity | 384.406 | €/MWh | Price of electricity | 402.677 | €/MWh |
Scenario 3 | |||||
Current plant | PV | Plant after the enlargement | |||
PFI | 17,915,100 | € | PFI | 20,985,900 | € |
Price/kW | 1706 | €/kW | Price/kW | 1706 | €/kW |
Power | 10.501 | MW | Power | 12.301 | MW |
Terrain cost | 617,645 | € | Terrain cost | 723,514.5886 | € |
Terrain | 123,529 | m2 | Terrain | 144,702.9177 | m2 |
Hybrid plant | Hybrid plant | ||||
Rest of the plants (cost) | 40,709,396 | € | Rest of the plants (cost) | 40,709,396 | € |
Total PFI | 58,624,496 | € | Total PFI | 61,695,296 | € |
TRR | 9,805,051 | €/year | TRR | 10,261,706 | €/year |
Energy supplied | 25,000 | MWh/year | Energy supplied | 25,000 | MWh/year |
Terrain cost total | 1,989,785 | € | Terrain cost total | 2,095,654.589 | € |
Price of electricity | 392.202 | €/MWh | Price of electricity | 410.46824 | €/MWh |
Cost of Electricity | Thermal Energy Cost | ||||
---|---|---|---|---|---|
Scenario 1 | 462.609 | €/MWh | Scenario 1 | 55.884 | €/MWh |
Scenario 2 | 402.677 | €/MWh | Scenario 2 | 18.271 | €/MWh |
Scenario 3 | 410.464 | €/MWh | Scenario 3 | 18.266 | €/MWh |
Zone 1 | ||||
---|---|---|---|---|
Header | Technology | MED | TVC | RO |
Zone 2 | MED | 421.25 | 404.50 | 387.75 |
TVC | 421.25 | 404.50 | 387.75 | |
RO | 417.90 | 401.15 | 384.41 |
Zone 1 | ||||
---|---|---|---|---|
Technology | MED | TVC | RO | |
Zone 2 | MED | 36.84 | 20.09 | 3.35 |
TVC | 36.84 | 20.09 | 3.35 | |
RO | 33.49 | 16.74 | N/A |
Technology | Electric Power(MWe) | Thermal Power (MWt) | Total Investment (M€) | Annual Maintenance cost (M€) | Annual Thermal Energy (MWh) | Annual Electric Energy (MWh) | Annualized Investment Cost (M€) | Total Annualized Cost (k€) |
---|---|---|---|---|---|---|---|---|
MED-MED | 0.1 | 6 | 4 | 0.44 | 52,560 | 876 | 0.373 | 2224.072 |
MED-TVC | 0.2 | 6 | 4 | 0.44 | 52,560 | 1752 | 0.373 | 2578.415 |
MED-RO | 0.2 | 5 | 4 | 0.55 | 43,800 | 1752 | 0.373 | 2359.918 |
TVC-MED | 0.3 | 3 | 4 | 0.44 | 26,280 | 2628 | 0.373 | 2114.227 |
TVC-TVC | 0.4 | 3 | 4 | 0.44 | 26,280 | 3504 | 0.373 | 2459.768 |
TVC-RO | 0.4 | 2 | 4 | 0.55 | 17,520 | 3504 | 0.373 | 2411.382 |
RO-MED | 0.3 | 1 | 4 | 0.54 | 8760 | 2628 | 0.373 | 1961.894 |
RO-TVC | 0.4 | 1 | 4 | 0.54 | 8760 | 3504 | 0.373 | 2301.567 |
RO-RO | 0.4 | 0 | 4 | 0.65 | 0 | 3504 | 0.373 | 2370.513 |
Appendix B
Symbol | Meaning |
---|---|
F1 | Friction factor guessed |
F’ | Friction factor after iteration |
D | Pipeline diameter |
hg | Pump head (height difference) |
h0 | Pump head (given by friction) |
Q | Water flow |
Z0 | Height initial point |
Zl | Height final point |
Connection Aspous–Achilli | Connection Kalamitsa–Nifi | ||||
---|---|---|---|---|---|
Initial data | Initial data | ||||
Distance | 1392.84 | m | Distance | 1216.55 | m |
Q | 0.02 | m3/s | Q | 0.01 | m3/s |
Z0 | 0.00 | m | Z0 | 0.00 | m |
Zl | 0.00 | m | Zl | 0.00 | m |
Values after iteration | Values after iteration | ||||
F1 | D | F’ | F1 | D | F’ |
0.02 | 0.187 | 0.023 | 0.025 | 0.148 | 0.024 |
Final values | Final values | ||||
Diameter | 0.19 | m | Diameter | 0.15 | m |
F | 0.03 | F | 0.03 | ||
Velocity | 0.82 | m/s | Velocity | 0.77 | m/s |
Reynolds | 149,801.27 | Reynolds | 110,968.08 | ||
hg | 0.00 | m | hg | 0.00 | m |
h0 | 6.37 | m | h0 | 6.20 | m |
Economic results | Economic results | ||||
Pipelines cost | 445,530.76 | € | Pipelines cost | 307,884.23 | € |
Power | 1.69 | kW | Power | 0.96 | kW |
Pumps cost | 8138.54 | € | Pumps cost | 5416.92 | € |
Pumping cost/year | 5753.46 | €/year | Pumping cost/year | 3276.42 | €/year |
Annualized total cost | 43,094.08 | € | Annualized total cost | 29,063.62 | € |
Connection Ferekampos–Aspous | Connection Ferekampos–Skyros | ||||
Initial data | Initial data | ||||
Distance | 1878.83 | m | Distance | 3001.67 | m |
Q | 0.07 | m3/s | Q | 0.91 | m3/s |
Z0 | 80.00 | m | Z0 | 80.00 | m |
Zl | 0.00 | m | Zl | 60.00 | m |
Final values | Final values | ||||
Diameter | 0.19 | m | Diameter | 0.75 | m |
Velocity | 2.51 | m/s | Velocity | 2.07 | m/s |
Reynolds | 455,545.09 | Reynolds | 1,515,001.74 | ||
Economic results | Economic results | ||||
Pipelines cost | 596,058.55 | € | Pipelines cost | 8,613,660.26 | € |
Annualized total cost | 49,060.40 | € | Annualized total cost | 708,973.29 | € |
Connection Skyros–Molos | Connection Reservoir 2–Linaria | ||||
Initial data | Initial data | ||||
Distance | 1456.02 | m | Distance | 776.21 | m |
Q | 0.26 | m3/s | Q | 0.04 | m3/s |
Z0 | 60.00 | m | Z0 | 200.00 | m |
Zl | 0.00 | m | Zl | 0.00 | m |
Final values | Final values | ||||
Diameter | 0.31 | m | Diameter | 0.11 | m |
Velocity | 3.43 | m/s | Velocity | 4.47 | m/s |
Reynolds | 1,046,659.81 | Reynolds | 482,413.44 | ||
Economic results | Economic results | ||||
Pipelines cost | 992,625.04 | € | Pipelines cost | 152,259.78 | € |
Annualized total cost | 81,701.00 | € | Annualized total cost | 12,532.20 | € |
Connection Reservoir 2–Acherounes | Connection Reservoir 2–Kalikri | ||||
Initial data | Initial data | ||||
Distance | 1025.91 | m | Distance | 1520.69 | m |
Q | 0.03 | m3/s | Q | 0.05 | m3/s |
Z0 | 200.00 | m | Z0 | 200.00 | m |
Zl | 100.00 | m | Zl | 100.00 | m |
Final values | Final values | ||||
Diameter | 0.11 | m | Diameter | 0.15 | m |
Velocity | 2.77 | m/s | Velocity | 2.75 | m/s |
Reynolds | 305,196.42 | Reynolds | 407,636.35 | ||
Economic results | Economic results | ||||
Pipelines cost | 204,485.00 | € | Pipelines cost | 394,452.13 | € |
Annualized total cost | 16,830.75 | € | Annualized total cost | 32,466.57 | € |
Connection Kalikri–Kalamitsa | |||||
Initial data | |||||
Distance | 282.84 | m | |||
Q | 0.03 | m3/s | |||
Z0 | 100.00 | m | |||
Zl | 0.00 | m | |||
Final values | |||||
Diameter | 0.09 | m | |||
Velocity | 4.68 | m/s | |||
Reynolds | 422,834.90 | ||||
Economic results | |||||
Pipelines cost | 47,548.43 | € | |||
Annualized total cost | 3913.62 | € |
Connection Achilli–Aspous | Connection Aspous–Skyros | ||||
---|---|---|---|---|---|
Initial data | Initial data | ||||
Distance | 1392.84 | m | Distance | 2469.82 | m |
Q | 0.01 | m3/s | Q | 0.02 | m3/s |
Z0 | 0.00 | m | Z0 | 0.00 | m |
Zl | 0.00 | m | Zl | 60.00 | m |
Values after iteration | Values after iteration | ||||
F1 | D | F’ | F1 | D | F’ |
0.025 | 0.098 | 0.027 | 0.025 | 0.172 | 0.023 |
Final values | Final values | ||||
Diameter | 0.10 | m | Diameter | 0.17 | m |
F | 0.03 | F | 0.03 | ||
Velocity | 0.78 | m/s | Velocity | 0.76 | m/s |
Reynolds | 74,794.91 | Reynolds | 128,325.64 | ||
hg | 0.00 | m | hg | 60.00 | m |
h0 | 11.13 | m | h0 | 70.67 | m |
Economic results | Economic results | ||||
Pipelines cost | 245,520.38 | € | Pipelines cost | 722,095.67 | € |
Power | 0.77 | kW | Power | 14.80 | kW |
Pumps cost | 4612.72 | € | Pumps cost | 39,014.17 | € |
Pumping cost/year | 2623.40 | €/year | Pumping cost/year | 50,279.28 | €/year |
Annualized total cost | 23,211.36 | € | Annualized total cost | 112,924.72 | € |
Connection Aspous–Skyros | Connection Molos–WWTP1 | ||||
Initial ddata | Initial data | ||||
Distance | 860.23 | m | Distance | 2469.82 | m |
Q | 0.07 | m3/s | Q | 0.02 | m3/s |
Z0 | 0.00 | m | Z0 | 0.00 | m |
Zl | 0.00 | m | Zl | 60.00 | m |
Values after iteration | Values after iteration | ||||
F1 | D | F’ | F1 | D | F’ |
0.02 | 0.33 | 0.02 | 0.025 | 0.172 | 0.023 |
Final values | Final values | ||||
Diameter | 0.33 | m | Diameter | 0.17 | m |
F | 0.03 | F | 0.03 | ||
Velocity | 0.80 | m/s | Velocity | 0.76 | m/s |
Reynolds | 257,967.65 | Reynolds | 128,325.64 | ||
hg | 0.00 | m | hg | 60.00 | m |
h0 | 2.12 | m | h0 | 70.67 | m |
Economic results | Economic results | ||||
Pipelines cost | 643,484.49 | € | Pipelines cost | 722,095.67 | € |
Power | 1.71 | kW | Power | 14.80 | kW |
Pumps cost | 8202.35 | € | Pumps cost | 39,014.17 | € |
Pumping cost/year | 5815.94 | €/year | Pumping cost/year | 50,279.28 | €/year |
Annualized total cost | 59,454.99 | € | Annualized total cost | 112,924.72 | € |
Connection Kalamitsa–Kalikri | Connection Nifi–Kalamitsa | ||||
Initial data | Initial data | ||||
Distance | 282.84 | m | Distance | 1216.55 | m |
Q | 0.01 | m3/s | Q | 0.003 | m3/s |
Z0 | 0.00 | m | Z0 | 0 | m |
Zl | 100.00 | m | Zl | 0 | m |
Values after iteration | Values after iteration | ||||
F1 | D | F’ | F1 | D | F’ |
0.025 | 0.116 | 0.026 | 0.03 | 0.077 | 0.029 |
Final values | Final values | ||||
Diameter | 0.12 | m | Diameter | 0.08 | m |
F | 0.03 | F | 0.025 | ||
Velocity | 0.78 | m/s | Velocity | 0.7449946 | m/s |
Reynolds | 88,042.89 | Reynolds | 5.58 x 104 | ||
hg | 100.00 | m | hg | 0 | m |
h0 | 101.88 | m | h0 | 11.220727 | m |
Economic results | Economic results | ||||
Pipelines cost | 57,819.37 | € | Pipelines cost | 173,708.5 | € |
Power | 9.87 | kW | Power | 0.5 | kW |
Pumps cost | 29,104.60 | € | Pumps cost | 3148.4 | € |
Pumping cost/year | 33,525.19 | €/year | Pumping cost/year | 1546.8 | €/year |
Annualized total cost | 40,679.73 | € | Annualized total cost | 16,103.6 | € |
Connection Linaria–WWTP2 | |||||
Initial data | |||||
Distance | 707.11 | m | |||
Q | 0.03 | m3/s | |||
Z0 | 0.00 | m | |||
Zl | 0.00 | m | |||
Values after iteration | |||||
F1 | D | F’ | |||
0.03 | 0.215 | 0.022 | |||
Final values | |||||
Diameter | 0.22 | m | |||
F | 0.03 | ||||
Velocity | 0.71 | m/s | |||
Reynolds | 149,475.02 | ||||
hg | 0.00 | m | |||
h0 | 2.12 | m | |||
Economic results | |||||
Pipelines cost | 269,538.41 | € | |||
Power | 0.65 | kW | |||
Pumps cost | 4057.13 | € | |||
Pumping cost/year | 2196.70 | €/year | |||
Annualized total cost | 24,715.81 | € | |||
Connection Skyros–WWTP1 | Connection Kalikri–Linaria | ||||
Initial data | Initial data | ||||
Distance | 707.11 | m | Distance | 1772.00 | m |
Q | 0.20 | m3/s | Q | 0.01 | m3/s |
Z0 | 60.00 | m | Z0 | 100.00 | m |
Zl | 0.00 | m | Zl | 0.00 | m |
Final values | Final values | ||||
Diameter | 0.25 | m | Diameter | 0.09 | m |
Velocity | 4.24 | m/s | Velocity | 1.88 | m/s |
Reynolds | 1,019,093.94 | Reynolds | 172,043.01 | ||
Economic results | Economic results | ||||
Pipelines cost | 328,755.22 | € | Pipelines cost | 301,424.13 | € |
Annualized total cost | 27,059.19 | € | Annualized total cost | 24,809.62 | € |
Connection Acherounes–WWTP2 | |||||
Initial data | |||||
Distance | 1000.00 | m | |||
Q | 0.01 | m3/s | |||
Z0 | 100.00 | m | |||
Zl | 0.00 | m | |||
Final values | |||||
Diameter | 0.08 | m | |||
Velocity | 1.81 | m/s | |||
Reynolds | 125,804.38 | ||||
Economic results | |||||
Pipelines cost | 134,076.10 | € | |||
Annualized total cost | 11,035.54 | € |
Connection DP1–Ferekampos | Connection DP2–Reservoir 2 | ||||
---|---|---|---|---|---|
Initial data | Initial data | ||||
Distance | 2624.88 | m | Distance | 1530.52 | m |
Q | 0.02 | m3/s | Q | 0.01 | m3/s |
Z0 | 0.00 | m | Z0 | 0.00 | m |
Zl | 80.00 | m | Zl | 200.00 | m |
Values after iteration | Values after iteration | ||||
F1 | D | F’ | F1 | D | F’ |
0.02 | 0.184 | 0.023 | 0.025 | 0.101 | 0.027 |
Final values | Final values | ||||
Diameter | 0.18 | m | Diameter | 0.10 | m |
F | 0.03 | F | 0.03 | ||
Velocity | 0.82 | m/s | Velocity | 0.78 | m/s |
Reynolds | 147,229.92 | Reynolds | 76,990.52 | ||
hg | 80.00 | m | hg | 200.00 | m |
h0 | 92.24 | m | h0 | 211.83 | m |
Economic results | Economic results | ||||
Pipelines cost | 822,782.58 | € | Pipelines cost | 276,967.11 | € |
Power | 23.68 | kW | Power | 15.60 | kW |
Pumps cost | 54,796.98 | € | Pumps cost | 40,514.39 | € |
Pumping cost/year | 80,435.44 | €/year | Pumping cost/year | 52,972.94 | €/year |
Annualized total cost | 152,667.27 | € | Annualized total cost | 79,104.21 | € |
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Potential Use | Minimum Required Treatment Level | Effluent Quality Standards |
---|---|---|
Restricted irrigation | Secondary biological treatment & disinfection |
|
Unrestricted irrigation | Tertiary biological treatment & disinfection |
|
Urban use | Advanced treatment & disinfection |
|
Groundwater recharge (non- potable purposes) | Secondary biological treatment & disinfection |
|
Industrial use | Tertiary biological treatment & disinfection |
|
Parameter | Assumption |
---|---|
Water demand | 10,812 m3/day for the year 2038 |
Irrigation needs | 65% of the total demand |
Wastewater | 75% of the urban use |
Material used for the pipes | Ductile iron |
Pipe water velocity range | 0.5–4 m/s |
Pipe diameter range | 0.08–0.75 m |
Pressure head range | −2.5–50 m |
Pipe cost coefficient, km | 1320 |
Pipe cost exponent, m | 0.866 |
Peak day factor (used to oversize the pipes) | 2 |
Peak hour factor (used to oversize the system) | 5 |
Seawater salinity | 37.5 psu |
Seawater temperature | 18 °C |
Distance of the water transport by ships | 100 km |
Diesel cost for the ships | 0.65€/L |
Power Plant | Power (MW) | Terrain (m2) | Cost of Electricity (€/MWh) | Thermal Energy Cost (€/MWh) |
---|---|---|---|---|
Current photovoltaic (PV) plant | 10.5 | 123,529 | 384.4 | - |
Plant after the enlargement | 12.3 | 144,702 | 402.7 | 18.3 |
Desalinated Water Supply System | ||||
- | Total investment of pipes (k€) | Total investment of pumps (k€) | Operational costs (k€/year) | Total annual cost (k€/year) |
Zone 1 | 10,648 | 8 | 6 | 2681 |
Zone 2 | 1107 | 5 | 3 | 95 |
Wastewater collection system | ||||
- | Total investment of pipes (k€) | Total investment of pumps (k€) | Operational costs (k€/year) | Total annual cost (k€/year) |
Zone 1 | 1940 | 52 | 59 | 223 |
Zone 2 | 1236 | 37 | 37 | 129 |
Desalinated water production costs | ||||
- | Fixed costs (k€) | Maintenance costs (k€) | Energy costs (k€/year) | Total annual cost (k€/year) |
DP1* | 3 | 350 | 1019 | 1649 |
DP2 | 1 | 190 | 29 | 313 |
Wastewater treatment costs | ||||
- | Energy costs (€/day) | Total costs (€/day) | Total annual cost (k€/year) | |
WWTP1* | 181 | 951 | 347 | |
WWTP2 | 27 | 225 | 82 |
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Share and Cite
Fernández-Gil, G.; Petrakopoulou, F. Sustainable Water Generation on a Mediterranean Island in Greece. Energies 2019, 12, 4247. https://doi.org/10.3390/en12224247
Fernández-Gil G, Petrakopoulou F. Sustainable Water Generation on a Mediterranean Island in Greece. Energies. 2019; 12(22):4247. https://doi.org/10.3390/en12224247
Chicago/Turabian StyleFernández-Gil, Guillermo, and Fontina Petrakopoulou. 2019. "Sustainable Water Generation on a Mediterranean Island in Greece" Energies 12, no. 22: 4247. https://doi.org/10.3390/en12224247
APA StyleFernández-Gil, G., & Petrakopoulou, F. (2019). Sustainable Water Generation on a Mediterranean Island in Greece. Energies, 12(22), 4247. https://doi.org/10.3390/en12224247