Non-Linear Analysis of Novel Equivalent Circuits of Single-Diode Solar Cell Models with Voltage-Dependent Resistance

Non-Linear Analysis of Novel Equivalent Circuits of Single-Diode Solar Cell Models with Voltage-Dependent Resistance

The most commonly used model of solar cells is the single-diode model, with five unknown parameters. First, this paper proposes three variants of the single-diode model, which imply the voltage dependence of the series resistance, parallel resistance, and both resistors. Second, analytical relations...

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Bibliographic Details
Published in:Fractal and fractional Vol. 7; no. 1; p. 95
Main Authors: Vellingiri, Mahendiran, Rawa, Muhyaddin, Alghamdi, Sultan, Alhussainy, Abdullah A., Althobiti, Ahmed S., Calasan, Martin, Micev, Mihailo, Ali, Ziad M., Abdel Aleem, Shady H. E.
Format: Journal Article
Language:English
Published: Basel MDPI AG 01-01-2023
Subjects:
Algorithms
Alternative energy sources
Analysis
chaotic snake optimization
Circuits
Diodes
Electric potential
Equivalent circuits
Laboratories
Lambert W function
mathematical models
Mathematical optimization
Modules
Nonlinear analysis
Optimization
Optimization algorithms
Parameter estimation
Photovoltaic cells
Power plants
Resistors
Root-mean-square errors
Sequences
Snakes
Solar cells
Solar energy
Solar energy industry
solar PV cells
Voltage
Saudi Arabia
France
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Summary:The most commonly used model of solar cells is the single-diode model, with five unknown parameters. First, this paper proposes three variants of the single-diode model, which imply the voltage dependence of the series resistance, parallel resistance, and both resistors. Second, analytical relationships between the current and the voltage expressed were derived using the Lambert W function for each proposed model. Third, the paper presents a hybrid algorithm, Chaotic Snake Optimization (Chaotic SO), combining chaotic sequences with the snake optimization algorithm. The application of the proposed models and algorithm was justified on two well-known solar photovoltaic (PV) cells—RTC France solar cell and Photowatt-PWP201 module. The results showed that the root-mean-square-error (RMSE) values calculated by applying the proposed equivalent circuit with voltage dependence of both resistors are reduced by 20% for the RTC France solar cell and 40% for the Photowatt-PWP201 module compared to the standard single-diode equivalent circuit. Finally, an experimental investigation was conducted into the applicability of the proposed models to a solar laboratory module, and the results obtained proved the relevance and effectiveness of the proposed models.
ISSN:2504-3110
2504-3110
DOI:10.3390/fractalfract7010095