Abstract
The extraction of solar cell parameters is a difficult task but is an important step in the assessment procedure of solar cells and panels. This work presents numerical methods for determining these parameters and compares their performances under different solar irradiances when they are implemented in an equivalent electrical circuit model with one or two diodes. To obtain a fast convergence rate in real-time applications, the fractional-order Darwinian particle swarm optimization (FODPSO) method is used through experimental data collected from a platform of photovoltaic (PV) energy installed near the modeling, information and systems laboratory at Amiens, France. The results showed that the one-diode model is less representative than the two-diode model. Furthermore, it is envisaged that the proposed FODPSO-based extraction method is more effective in modeling with two diodes. This will allow real-time determination of solar cells parameters and consequently will help to select the most suitable PV model.
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Abbreviations
- T :
-
Cell temperature (°C)
- G :
-
Global irradiation on the array surface (W/m2)
- T :
-
Time (s)
- STC:
-
Standard test condition of the PV cell; T STC = 25°C and GSTC = 1000 W/m2
- PV:
-
Photovoltaic
- I–V :
-
Current voltage
- P–V :
-
Power voltage
- PSO:
-
Particle swarm optimization
- DPSO:
-
Darwinian particle swarm optimization
- FODPSO:
-
Fractional-order Darwinian particle swarm optimization
- 1D:
-
One diode model
- 2D:
-
Two diode model
- q :
-
Electron charge (1.6 × 10−19 C)
- K :
-
Boltzmann constant (1.38 × 10−23 Nm/K)
- I PV :
-
Light generated current of a PV module (A)
- I :
-
PV module current (A)
- V :
-
PV module voltage (V)
- I MPP :
-
Maximum power point current (A)
- V MPP :
-
Maximum power point voltage (V)
- I SC :
-
Short-circuit current (A)
- V OC :
-
Open-circuit voltage (V)
- V T1 :
-
Thermodynamic voltage of diode 1 (V)
- V T2 :
-
Thermodynamic voltage of diode 2 (V)
- a, a 1, a 2 :
-
Ideality factors of the cell
- I 0 / I 01, I 02 :
-
Saturation currents of cell for 1Diode model/2Diode model (A)
- R S :
-
Series resistance of diode model (Ω)
- R P :
-
Parallel resistance of diode model (Ω)
- V :
-
Speed of a particle V (k) in the generation k
- X :
-
Current position of the particle
- X i :
-
Best known position of each particle
- X g :
-
Best known position of swarm
- Ω :
-
Hyperparameter (inertia factor)
- α T, β T :
-
Vectors drawn in [0, 1]n with uniform probability
- T NOCT :
-
Normal operating cell temperature (°C)
- K I :
-
Temperature coefficient of short-circuit current (%/°C)
- K V :
-
Temperature coefficient of open-circuit voltage (mV/°C)
- ΔT :
-
Difference between actual temperature and T STC (°C)
- N s :
-
Number of cells connected in series
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Hassan Ali, M., Rabhi, A., Haddad, . et al. Real-Time Determination of Solar Cell Parameters. J. Electron. Mater. 46, 6535–6543 (2017). https://doi.org/10.1007/s11664-017-5697-0
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DOI: https://doi.org/10.1007/s11664-017-5697-0