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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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

