Mathematical Modeling of Perovskite Solar Cells for Efficient Energy Harvesting

This paper has provided an overarching mathematical model of the processes to be in place in the modeling of perovskite solar cells through the use of coupled Poisson, continuity, and drift, and diffusion equations. The model was able to examine how the photovoltaic performance is affected by the absorber thickness, carrier mobility, density of defects and temperature. Simulation Purposes Mirror simulation models show that a controlled defect density, ideal thickness (approximately 600 nm), and carrier mobility increase energy capture in a vastly greater way, and obtain power conversion efficiencies of high-performance (more than 22% at ideal conditions). Although some promising results are evident, practical constraints owing to material instability, hysteris caused by ion migration, sensitivity to moisture, interfaces degradation and scalability are key setbacks in commercialization. The model also makes a number of assumptions including, but not limited to, a uniformity of the material and steady-state conditions in operation that are not necessarily realistic in the behaviour of a device. Some direction to be taken in future should involve: ·         Electro-thermal modeling Multi-physics. ·         Lifetime prediction models based on degrees of degradation. ·         Optimization of parameters with the help of AI. ·         Grain boundary and interface based modeling. ·         Do large areas back volume simulation and module-level simulation. ·         Combination with parallel building solar cells. The development of mathematical modeling models will hasten the process of transforming the perovskite solar cells development into commercially effective and high-energy yields of renewable energy technology.

[1]     N. U. A. Ahmed, P. Lamberti, and V. Tucci, “A science mapping analysis of computational methods and exploration of electrical transport studies in solar cells,” Materials, vol. 19, no. 3, p. 452, Jan. 2026, doi: 10.3390/ma19030452. [2]     S. Raja, V. S. Sujitha, D. Yakkala, M. R. A. Refaai, and O. A. Adebimpe, “Energy-harvesting cementitious materials for sustainable infrastructure: a critical review of piezoelectric, thermoelectric, and photovoltaic mechanisms,” Innovative Infrastructure Solutions, vol. 11, no. 2, Jan. 2026, doi: 10.1007/s41062-025-02445-5. [3]     C. Kuchi, R. M. N. Kalla, Y. A. Kumar, A. G. Al-Sehemi, E. Ravindran, and S. K. Chilaka, “2D layered perovskites: stability, tunability, and their role in next-generation solar energy conversion,” Journal of Materials Science, vol. 61, no. 6, pp. 3577–3615, Jan. 2026, doi: 10.1007/s10853-025-11886-3. [4]     Y. Chen et al., “Recent advances in piezoelectric and triboelectricnanogenerators for ocean current energy harvesting,” Journal of Marine Science and Engineering, vol. 14, no. 3, p. 249, Jan. 2026, doi: 10.3390/jmse14030249. [5]     Nag and D. Chaudhuri, “Advances in nanomaterials for energy and sensing applications: from fundamentals to device,” Discover Electronics, vol. 3, no. 1, Jan. 2026, doi: 10.1007/s44291-026-00165-3. [6]     P. Jiang, K. He, N. Li, L. Xu, and H. Zhan, “A review of the Low-Carbon Transformation Path of Buildings driven by Renewable Energy: Challenges and Optimization of Energy-Efficient Utilization,” Buildings, vol. 16, no. 4, p. 817, Feb. 2026, doi: 10.3390/buildings16040817. [7]     K. J. Chaudhary, M. L. Chaudhary, R. Patel, and R. K. Gupta, “Recent trends in advanced nanomaterials for potential photovoltaic applications,” in Handbook of Energy Materials, 2026, pp. 1177–1202. doi: 10.1007/978-981-95-2947-6_32. [8]     M. Al-Mandhari, O. Cowdall, and A. Ghosh, “Challenges and advancements in direct solar PV to water electrolyser technology for hydrogen production,” Sustainability, vol. 18, no. 4, p. 2089, Feb. 2026, doi: 10.3390/su18042089. [9]     P. Pandey, H.-G. Lim, and D.-W. Kang, “Silver–Tin Sulfide/Selenide semiconductor for Super-Narrow-Bandgapphotovoltaics and Thermoelectric applications: A review,” Energies, vol. 19, no. 4, p. 1029, Feb. 2026, doi: 10.3390/en19041029. [10] H. M. Rizwan, N. Sultan, S. Rafiq, Z. Zubair, and M. R. S. A. Janjua, “Shaping the future of photovoltaics: advances in Non-Fullerene acceptors and tandem organic solar cells,” Brazilian Journal of Physics, vol. 56, no. 2, Jan. 2026, doi: 10.1007/s13538-025-01998-1.