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Abstract
This letter presents novel approximate analytical solutions for modeling solar cells’ current–voltage (I–V) characteristics by applying resistance–diode (RD) circuit approaches. Three different approximation methods are developed and used to modified solar cell equivalent circuits, including single, double, and triple-diode configurations. The proposed solutions demonstrate excellent agreement with numerical simulations and experimental measurements, while achieving significant reductions in computational time. These features make the methods suitable for real-time applications in power electronics and smart grid environments. The approach provides a valuable analytical tool for enhancing photovoltaic modeling and strengthens the connection between circuit theory and solar energy systems.
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References
-
The international renewable energy agency—IRENA. Available: https://www.irena.org/, last accessed March 2, 2025.
-
Mehta, H.K., Warke, H., Kukadiya, K., Panchal, A.K.: Accurate expressions for single-diode-model solar cell parameterization. IEEE J Photovolt 9(3), 803–810 (2019). https://doi.org/10.1109/JPHOTOV.2019.2896264
-
Gao, X., Feng, S., Yhao, X., Zhou, K., Qu, J.: Special trans function based exact expressions for the double and triple diode models of solar cells: superior fitness, accuracy and convergence. Energy Rep. 11, 5252–5270 (2024). https://doi.org/10.1016/j.egyr.2024.05.016
-
Ćalasan, M., Abdel Aleem, S.H.E., Zobaa, A.F.: A new approach for parameters estimation of double and triple diode models of photovoltaic cells based on iterative Lambert W function. Solar Energy 218, 392–412 (2021). https://doi.org/10.1016/j.solener.2021.02.038
-
Lun, S.H., Du, C., Guo, T., Wang, S., Sang, J., Li, J.: A new explicit I-V model of a solar cell based on Taylor’s series expansion. Sol. Energy 94, 221–232 (2013). https://doi.org/10.1016/j.solener.2013.04.013
-
Calasan, M., Vujosevic, S., Micev, M., Alruwaili, M., Wijaya, A.: Triple-diode solar cell current optimization—An analytical solution based on the Lambert W function. Alexandria Eng J 104, 95–114 (2024). https://doi.org/10.1016/j.aej.2024.06.035
-
Lun, S., Wang, S., Yang, G., Guo, T.: A new explicit double-diode modeling method based on Lambert W-function for photovoltaic arrays. Sol. Energy 116, 69–82 (2015). https://doi.org/10.1016/j.solener.2015.03.043
-
Calasan, M., Vujosevic, S., Micev, M., Abdel Aleem, S.H.E., Hasanien, H.: Accurate modeling and parameters estimation of photovoltaic models: analytical and artificial intelligence solutions“. Res Eng 24, 103433 (2024). https://doi.org/10.1016/j.rineng.2024.103433
-
Ali, Z.M., Calasan, M., Mostafa, M., AbdeelAleem, S.H.E.: Analytical modeling of novel equivalent circuits of double diode solar cell circuits using a special transcendental function approach“. PLoS ONE 19(11), 0313713 (2024). https://doi.org/10.1371/journal.pone.0313713
-
Ćalasan, M., Vujošević, S.: Novel triple diode solar cells equivalent circuit models with lambert W function expressions. IEEE J Electron Dev Soc 13, 49–53 (2025). https://doi.org/10.1109/JEDS.2024.3523278
-
Fjeldy, T.A., Moon, B.J., Shur, M.: Approximate analytical solution of generalized diode equation. IEEE Trans. Electron Devices 38(8), 1976–1977 (1991). https://doi.org/10.1109/16.119046
-
Rincon-Mora, G.A.: Voltage references: from diodes to precision higher-order bandgap circuits. Wiley-IEEE, New York (2001)
-
Kim, L., Shin, M.W.: Thermal resistance measurement of LED package with multichips. IEEE Trans. Compon. Packag. Technol. 30(4), 632–636 (2007). https://doi.org/10.1109/TCAPT.2007.906332
-
Banwell, T.C., Jayakumar, A.: Exact analytical solution for current flow through the diode with series resistance. Electron. Lett. 36(4), 291–292 (2000). https://doi.org/10.1049/el:20000301
-
Calasan, M.: Diode-resistance circuit—Novel exact and approximate solutions based on the g-function approach. AEU Int. J. Electron. Commun. 193, 155744 (2025)
-
Abuelma Atti, M.T.: Improved approximate analytical solution for generalized diode equation. Electron. Lett. 28(6), 594–595 (1992). https://doi.org/10.1049/el:19920374
-
Ortiz-Conde, A., Garcia Sanchez, F.J.: Approximate analytical expression for the equation of diode with series and shunt resistances. Electron. Lett. 28(21), 1964–1965 (1992)
-
Gazquez, J.A., Fernandez-Ros, M., Torrecillas, B., Carmona, J., Novas, N.: New approximate analytical solution of the diode-resistance equation. AEU Int. J. Electron. Commun. (2021). https://doi.org/10.1016/j.aeue.2021.153665
-
He, J., Fang, M., Li, B., Cao, Y.: A new analytic approximation to general diode equation. Solid-State Electron. 50(7–8), 1371–1374 (2006). https://doi.org/10.1016/j.sse.2006.06.013
-
Le Bihan, J.: Accurate analytical approximation for normalized diode characteristic. Int. J. Circ. Theor. Appl. 29(4), 397–401 (2001). https://doi.org/10.1002/cta.158
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Ćalasan, M. Fast approximate solutions for solar cell I–V characteristics using resistance–diode circuits: bridging circuit theory and photovoltaics. J Comput Electron 24, 138 (2025). https://doi.org/10.1007/s10825-025-02380-9
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- DOI https://doi.org/10.1007/s10825-025-02380-9
Keywords
- Approximate solution
- g-function
- Lambert W function
- Modeling
- Solar cells
- Multi-diode models