Optimal Sizing and Assessment of Standalone Photovoltaic Systems for Community Health Centers in Mali
Abstract
:1. Introduction
2. Materials and Methods
2.1. Locations and Meteorological Data
2.2. Orientations for Installation of PV Modules
Electrical Loads for Community Health Centers
2.3. Sizing Methodology for Standalone PV Systems in PVsyst
- I.
- Meteorological data, as provided in Section 2.1.
- II.
- PV module orientation, as provided in Section 2.2.
- III.
- Project energy needs, as provided in Section 2.3.
- IV.
- Probability of loss of load (PLOL). This generic term refers to the percentage of the energy demand that cannot be supplied by electrical generators [33]. In PVsyst, PLOL is the percentage of time during which PV installation cannot meet the project’s needs. For example, with 1% of PLOL, there is a probability that 3.65 days may suffer from a shortage of energy. The value of PLOL is very important to consider in PVsyst for standalone PV systems. The sizing of PV arrays and battery storage is significantly influenced by the PLOL value used. In literature, PLOL is seen to vary between 2 and 10% for renewable energy systems [34,35]. For sensitivity analysis and impact of varying PLOL on the sizing of PV arrays, a PLOL with values ranging from 1 to 5% is considered.
- V.
- Autonomy days. For standalone PV systems, calculation for batteries is the first step in the design process. The number of batteries required is mainly dependent on the daily energy consumption by the loads and the number of autonomy days. Autonomy days refer to the number of days that battery will be capable of providing the required daily needs without the support of the PV modules. Autonomy days are very important to consider for cases such as monsoon seasons or similar weather conditions, when there is a possibility that Sun may not shine for one or more days. Generally, choice of autonomy days for standalone PV systems depends on the weather conditions or the user preference. Because prices of batteries are very high at the moment, the choice of autonomy days has to be made very carefully. Any increase in autonomy days will increase the number of batteries, and ultimately, this will increase the total cost and make the PV system more expensive. In the literature, autonomy is seen to vary from 1 to 3 days [36,37,38]. For sensitivity analysis and impact of autonomy days on the sizing and overall performance of the PV system, during the modeling and simulation for this study, 1, 2, and 3 autonomy days were considered.
2.3.1. Solar Fraction
2.3.2. Performance Ratio (PR)
2.3.3. Levelized Cost of Electricity (LCOE)
2.3.4. Payback Period
2.3.5. Return on Investment (ROI)
2.4. Optimization Flowchart
3. Results and Discussion
3.1. Technical Evaluation
3.2. Economic Evaluation
3.3. Environmental Evaluation
4. Conclusions
5. Directions for Further Research
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Software/Tool | Advantages | Disadvantages |
---|---|---|
SAM | User-friendly; easy to understand | Limited weather analysis |
PVsyst | Extensive meteorological and PV system component databases; has ability to identify the weaknesses of the system design through loss diagram; results include several dozens of simulation variables | Inability to handle shadow analysis |
HOMER | Determines the possible combinations of a list of different technologies; has optimization algorithms used for feasibility and economic analysis | Inability to guess missing values or sizes; complex and time-consuming; detailed input data are needed |
PV*SOL | Vast meteorological database; strong component database | Complexity in building and site modeling; advanced scientific calculation is not supported |
RETScreen | Strong meteorological and product database; high strength in financial analysis | No option for time series data; does not support advanced calculations |
Analytical/ numerical | User-defined | Extensive time and complexity in calculating large number of variables and summarizing results |
Description | Quantity | Power (Watts) | Total Power (Watts) | Operation Duration (Hours/Day) | Energy (Wh) |
---|---|---|---|---|---|
Refrigerator-vaccines | 1 | 40 | 40 | 10 | 400 |
Refrigerator-non-medical | 1 | 150 | 150 | 5 | 750 |
Centrifuge | 2 | 242 | 484 | 4 | 1936 |
Microscope | 2 | 20 | 40 | 6 | 240 |
Blood chemical analyzer | 1 | 45 | 45 | 4 | 180 |
Hematology analyzer | 1 | 230 | 230 | 4 | 920 |
CD4 machine | 1 | 200 | 200 | 4 | 800 |
Radio | 1 | 15 | 15 | 2 | 30 |
Tubular LED lights | 4 | 18 | 72 | 8 | 576 |
Desktop computer | 1 | 30 | 30 | 4 | 120 |
Total | 1306 watts | 5952 Wh |
Location | Bamako, Kayes, Kolokani, Sikasso, and Barouéli |
---|---|
Source of meteorological data | Metenorm within PVsyst |
Daily energy demand | 5.95 kWh |
Peak load | 1306 watts |
System voltage | 12 Volts |
Number of autonomy days | 1, 2 and 3 days |
Value of PLOL | 1%, 2%, 3%, 4% and 5% |
Component | Technology | Manufacturer | Model | Availability in PVsyst Databse |
---|---|---|---|---|
PV Module | Poly-silicon | Generic | Poly 150 Wp 36 cells | Available |
Battery | Lithium ion LFP | Victron Energy | LFP-CB 12.8/200 | Available |
Inverter | Hybrid solar inverter | Primax | Venus 2000 | Manually added |
Description | Unit | Value |
---|---|---|
Maximum power rating (Pmax) | Wp | 150 |
Maximum power voltage (Vmp) | V | 17.80 |
Maximum power current (Imp) | A | 8.43 |
Open circuit voltage (Voc) | V | 22.40 |
Short circuit current (Isc) | A | 8.93 |
Module efficiency | % | 16.99 |
Normal operating cell temperature (STC) | [°C] | 25 |
Short circuit temperature coefficient Isc | [%/°C] | 0.6 |
Open circuit voltage temperature coefficient Voc | [mV/°C] | −0.73 |
Maximum power point temperature coefficient Pmp | [%/°C] | −0.40 |
Autonomy Days | System Size | PLOL (%) | ||||
---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | ||
1 | PV array (watts) | 2400 | 1800 | 1650 | 1650 | 1650 |
Battery (Ah) | 606 | 606 | 606 | 606 | 606 | |
2 | PV array (watts) | 1800 | 1650 | 1650 | 1500 | 1500 |
Battery (Ah) | 1212 | 1212 | 1212 | 1212 | 1212 | |
3 | PV array (watts) | 1650 | 1650 | 1500 | 1500 | 1500 |
Battery (Ah) | 1818 | 1818 | 1818 | 1818 | 1818 |
Location | PV Array Size (Watt) | |
---|---|---|
Min | Max | |
Bamako | 1500 | 2400 |
Kayes | 1500 | 2550 |
Kolokani | 1500 | 2550 |
Sikasso | 1500 | 2550 |
Barouéli | 1500 | 2250 |
Autonomy Days/PLOL | System Size | PV Energy Produced (kWh) | PV Energy Unused (kWh) | Energy Missing (kWh) | Energy Supplied (kWh) | Solar Fraction (%) | Performance Ratio (%) |
---|---|---|---|---|---|---|---|
1D/1% | 2400 W 606 Ah | 3784.9 | 1447.7 | 1.0 | 2279.8 | 99.90 | 46.10 |
1D/2% | 1800 W 606 Ah | 2814.9 | 492.4 | 2.8 | 2278.0 | 99.90 | 61.40 |
1D/3–4–5% | 1650 W 606 Ah | 2572.7 | 268.8 | 17.2 | 2263.7 | 99.20 | 66.60 |
2D/1% | 1800 W 1212 Ah | 2814.9 | 478.1 | 0.0 | 2280.9 | 100 | 61.50 |
2D/2–3% | 1650 W 1212 Ah | 2571.8 | 248.1 | 0.0 | 2280.9 | 100 | 67.00 |
2D/4–5% | 1500 W 1212 Ah | 2331.6 | 66.3 | 52.1 | 2228.8 | 97.70 | 72.10 |
3D/1–2% | 1650 W 1818 Ah | 2571.2 | 241.3 | 0.0 | 2280.9 | 100 | 67.10 |
3D/3–4–5% | 1500 W 1818 Ah | 2331.3 | 58.1 | 43.2 | 2237.7 | 98.10 | 72.40 |
Location | Autonomy Days | System Size | Solar Fraction (%) | Performance Ratio (%) |
---|---|---|---|---|
1 | 1650 W 606 Ah | 98.60 | 67.28 | |
Kayes | 2 | 1500 W 1212 Ah | 96.60 | 72.50 |
3 | 1500 W 1818 Ah | 100 | 53.63 | |
1 | 1500 W 606 Ah | 98.26 | 70.68 | |
Kolokani | 2 | 1500 W 1212 Ah | 99.12 | 71.30 |
3 | 1500 W 1818 Ah | 99.51 | 71.58 | |
1 | 1500 W 606 Ah | 98.69 | 71.09 | |
Sikasso | 2 | 1500 W 1212 Ah | 99.55 | 71.71 |
3 | 1500 W 1818 Ah | 99.70 | 71.82 | |
1 | 1500 W 606 Ah | 98.55 | 71.12 | |
Barouéli | 2 | 1500 W 1212 Ah | 99.64 | 71.90 |
3 | 1500 W 1818 Ah | 100 | 72.16 |
Equipment | Cost | |
---|---|---|
PV System | PV modules + BOS | 2 USD/W |
Battery | 0.18 USD/Wh | |
Inverter | 0.32 USD/W | |
Diesel | Diesel generator | 1 USD/W |
Description | Value | |
---|---|---|
Diesel | Fuel consumption (liters/kWh) | 0.4 |
Fuel Price (USD/liter) | 1.2 | |
Diesel OM (USD/kWh) | 0.2 | |
Fuel price increase per year (%) | 5 | |
CO2 from diesel generator (kg/liters) | 2.6 | |
PV System | PV OM (USD/kW) | 28.94 |
CO2 from PV systems (kg/kWh) | 0.085 |
Equipment | Operational Lifespan (Years) |
---|---|
PV modules | 25 |
Battery | 5 |
Inverter | 10 |
Diesel generator | 20 |
Autonomy Days/PLOL | System Size | Expenses—PV ($) | Expenses—DG ($) | LCOE-PV ($/kWh) | LCOE-DG ($/kWh) |
---|---|---|---|---|---|
1D/1% | 2400 W 606 Ah | 12,512 | 44,841 | 0.27 | 0.98 |
1D/2% | 1800 W 606 Ah | 10,965 | 44,841 | 0.24 | 0.98 |
1D/3–4–5% | 1650 W 606 Ah | 10,578 | 44,841 | 0.23 | 0.98 |
2D/1% | 1800 W 1212 Ah | 16,201 | 44,841 | 0.36 | 0.98 |
2D/2–3% | 1650 W 1212 Ah | 15,814 | 44,841 | 0.35 | 0.98 |
3D/1–2% | 1650 W 1818 Ah | 21,050 | 44,841 | 0.46 | 0.98 |
Autonomy Days/PLOL | System Size | Expenses—PV (USD) | Expenses—DG (USD) | LCOE-PV (USD/kWh) | LCOE-DG (USD/kWh) |
---|---|---|---|---|---|
1D/1% | 2400 W 606 Ah | 9864 | 24,676 | 0.38 | 0.94 |
1D/2% | 1800 W 606 Ah | 8465 | 24,676 | 0.32 | 0.94 |
1D/3–4–5% | 1650 W 606 Ah | 8115 | 24,676 | 0.31 | 0.94 |
2D/1% | 1800 W 1212 Ah | 11,901 | 24,676 | 0.45 | 0.94 |
2D/2–3% | 1650 W 1212 Ah | 11,551 | 24,676 | 0.44 | 0.94 |
3D/1–2% | 1650 W 1818 Ah | 14,988 | 24,676 | 0.57 | 0.94 |
Autonomy Days/PLOL | System Size | Revenue (USD) | Profit (USD) | ROI (%) | Payback Period (Years) |
---|---|---|---|---|---|
1D/1% | 2400 W 606 Ah | 44,841 | 32,328 | 258.36 | 5.58 |
1D/2% | 1800 W 606 Ah | 44,841 | 33,876 | 308.92 | 4.89 |
1D/3–4–5% | 1650 W 606 Ah | 44,841 | 34,262 | 323.88 | 4.72 |
2D/1% | 1800 W 1212 Ah | 44,841 | 28,640 | 176.77 | 7.23 |
2D/2–3% | 1650 W 1212 Ah | 44,841 | 29,027 | 183.54 | 7.05 |
3D/1–2% | 1650 W 1818 Ah | 44,841 | 32,328 | 113.02 | 9.39 |
Autonomy Days/PLOL | System Size | Revenue (USD) | Profit (USD) | ROI (%) | Payback Period (Years) |
---|---|---|---|---|---|
1D/1% | 2400 W 606 Ah | 24,676 | 14,812 | 150.17 | 7.99 |
1D/2% | 1800 W 606 Ah | 24,676 | 16,211 | 191.52 | 6.86 |
1D/3–4–5% | 1650 W 606 Ah | 24,676 | 16,561 | 204.08 | 6.58 |
2D/1% | 1800 W 1212 Ah | 24,676 | 12,775 | 107.34 | 9.65 |
2D/2–3% | 1650 W 1212 Ah | 24,676 | 13,124 | 113.62 | 9.36 |
3D/1–2% | 1650 W 1818 Ah | 24,676 | 9688 | 64.64 | 12.15 |
Location | Autonomy Days | System Size | LCOE-PV (USD/kWh) | LCOE-DG (USD/kWh) | Payback Periods |
---|---|---|---|---|---|
1 | 1650 W 606 Ah | 0.23 | 0.98 | 4.72 | |
Kayes | 2 | 1500 W 1212 Ah | 0.34 | 0.98 | 6.88 |
3 | 1500 W 1818 Ah | 0.45 | 0.98 | 9.22 | |
1 | 1500 W 606 Ah | 0.22 | 0.98 | 4.55 | |
Kolokani | 2 | 1500 W 1212 Ah | 0.34 | 0.98 | 6.88 |
3 | 1500 W 1818 Ah | 0.45 | 0.98 | 9.22 | |
1 | 1500 W 606 Ah | 0.22 | 0.98 | 4.55 | |
Sikasso | 2 | 1500 W 1212 Ah | 0.34 | 0.98 | 6.88 |
3 | 1500 W 1818 Ah | 0.45 | 0.98 | 9.22 | |
1 | 1500 W 606 Ah | 0.22 | 0.98 | 4.55 | |
Barouéli | 2 | 1500 W 1212 Ah | 0.34 | 0.98 | 6.88 |
3 | 1500 W 1818 Ah | 0.45 | 0.98 | 9.22 |
Lifetime CO2 Emission (tCO2eq) | |||
---|---|---|---|
PV System | 2400 watts | 1800 watts | 1650 watts |
6.77 | 5.03 | 4.60 | |
Diesel generator | 82.78 | 61.57 | 56.28 |
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Ali, A.; Volatier, M.; Darnon, M. Optimal Sizing and Assessment of Standalone Photovoltaic Systems for Community Health Centers in Mali. Solar 2023, 3, 522-543. https://doi.org/10.3390/solar3030029
Ali A, Volatier M, Darnon M. Optimal Sizing and Assessment of Standalone Photovoltaic Systems for Community Health Centers in Mali. Solar. 2023; 3(3):522-543. https://doi.org/10.3390/solar3030029
Chicago/Turabian StyleAli, Abid, Maïté Volatier, and Maxime Darnon. 2023. "Optimal Sizing and Assessment of Standalone Photovoltaic Systems for Community Health Centers in Mali" Solar 3, no. 3: 522-543. https://doi.org/10.3390/solar3030029