The Hidden Short-Term Electro-Thermal–Optical Feedback Loop in Circuit-Level Modeling of PV Hot-Spots
Source abstract
Abstract
Hot-spots represent a significant failure mechanism in photovoltaic (PV) modules, typically attributable to electrical mismatching. However, thermo-optical degradation of the encapsulant, including discoloration and delamination, can both trigger and amplify mismatch by inducing localized optical losses and temperature rise. The present paper proposes a compact circuit-level electro-thermal–optical model that explicitly captures the short-term closed-loop interaction between mismatching, cell temperature, and temperature-dependent optical properties. The photogenerated current is formulated as a function of irradiance, cell temperature, and encapsulant degradation, enabling dynamic feedback between heating and optical losses. Numerical simulations are carried out on a commercial 40-cell PV module under four representative operating static scenarios. The results demonstrate that, even in the absence of shading, optical degradation can generate multimodal P–V characteristics, drive cells into reverse bias, and produce hot-spots. When optical degradation coexists with irradiance mismatch, the feedback loop significantly amplifies mismatching and shifts the maximum power point toward thermally unsafe operating conditions. These findings demonstrate that maximizing instantaneous power does not necessarily maximize lifetime energy yield, underscoring the need for thermal-aware MPPT strategies and providing a practical framework for early detection of thermo-optical faults in PV modules.
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Research context
OpenAlex topics: Photovoltaic System Optimization Techniques · Silicon and Solar Cell Technologies · solar cell performance optimization
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Electrical Engineering and Information Technologies, University of Naples Federico II, 80125 Naples, Italy
Department of Engineering, Università degli Studi della Campania “Luigi Vanvitelli”, 81031 Aversa, Italy
Department of Information Engineering, Electrical Engineering and Applied Mathematics, University of Salerno, 84084 Fisciano, Italy
Faculty of Engineering, International Telematic University Uninettuno, 00186 Rome, Italy
References (34)
Show source-provided references
1. Observed degradation in photovoltaic plants affected by hot spots10.1002/pip.2393 ↗
2. Experimental investigation of hotspot phenomenon in PV arrays under mismatch conditions10.1016/j.solener.2023.02.033 ↗
3. Self-heating effects in basic semiconductor structures10.1109/16.277342 ↗
4. A survey on mismatching and aging of PV modules: The closed loop10.1109/TIE.2015.2418731 ↗
5. Temperature regulation of photovoltaic module using phase change material: A numerical analysis and experimental investigation10.1155/2016/5917028 ↗
6. Fertig, F., Rein, S., Schuber, M., and Warta, W. (2011, January 5–6). Impact of junction breakdown in multi-crystalline silicon solar cells on hot-spot formation and module performance. Proceedings of the European Photovoltaic Solar Energy Conference and Exhibition, Hamburg, Germany.
7. A bypass circuit for avoiding the hot spot in PV modules10.1016/j.solener.2019.02.010 ↗
8. Review of mismatch mitigation techniques for PV modules10.1049/iet-rpg.2019.0153 ↗
9. Mitigation of mismatch power loss in aged photovoltaic arrays following a comparative investigation into module rearrangement techniques10.1016/j.egyr.2022.01.013 ↗
10. Dubey, R., Chattopadhyay, S., Kuthanazhi, V., John, J.J., Arora, B.M., Kottantharayil, A., Narasimhan, K.L., Solanki, C.S., Kuber, V., and Vas, J. (2014). All-India Survey of Photovoltaic Module Degradation: Report of the National Centre for Photovoltaic (NCPRE).
11. Encapsulation of PV modules using ethylene vinyl acetate copolymer as a pottant: A critical review10.1016/0927-0248(95)00150-6 ↗
12. Factors that affect the EVA encapsulant discoloration rate upon accelerated exposure10.1016/0927-0248(95)00128-X ↗
13. Visual Degradation in Field-Aged Crystalline Silicon PV Modules in India and Correlation With Electrical Degradation10.1109/JPHOTOV.2014.2356717 ↗
14. Investigation of delamination in an edge-defined film-fed growth photovoltaic module10.1016/j.solmat.2004.12.004 ↗
15. Environmental fatigue crack growth of PV glass/EVA laminates in the melting range10.1002/pip.3800 ↗
16. Fast and Nondestructive Detection on the EVA Gel Content in Photovoltaic Modules by Optical Reflection10.1109/JPHOTOV.2015.2397603 ↗
17. Nondestructive characterization of encapsulant discoloration effects in crystalline-silicon PV modules10.1016/j.solmat.2016.06.019 ↗
18. Dynamic electro-thermal modeling of solar cells and modules10.1016/j.solener.2018.12.067 ↗
19. Development of thermo-electrical model of photovoltaic panel under hot-spot conditions with experimental validation10.1016/j.energy.2021.120785 ↗
20. Balato, M., Botti, M., Catalano, A.P., Costanzo, L., D’ALessandro, V., Papathanasiou, A.G., Petrarca, C., Scognamillo, C., Verolino, L., and Vitelli, M. (2025). Electro-Thermal Circuit Models of Photovoltaic Cells Subjected to Optical Degradation Phenomena. the 2025 31st International Workshop on Thermal Investigations of ICs and Systems (THERMINIC), Naples, Italy, 24–26 September 2025, IEEE.10.1109/THERMINIC65879.2025.11216887 ↗
21. Predicting Early EVA Degradation in Photovoltaic Modules From Short Circuit Current Measurements10.1109/JPHOTOV.2021.3086455 ↗
22. An investigation into hot-spots in two large grid-connected PV plants
23. Research on hot spot risk for high-efficiency solar module10.1016/j.egypro.2017.09.399 ↗
24. Temperature distribution of photovoltaic module based on finite element simulation10.1016/j.solener.2014.10.040 ↗
25. (2021). Terrestrial Photovoltaic (PV) Modules—Design Qualification and Type Approval—Part 2: Test Procedures (Standard No. IEC 61215-2:2021).
26. Castaner, L., and Silvestre, S. (2002). Modelling Photovoltaic Systems Using PSpice, Wiley.10.1002/0470855541 ↗
27. Clugston, D., and Basore, P. (October, January 29). PC1D Version 5: 32-bit solar cell modeling on personal computers. Proceedings of the 26th IEEE Photovoltiac Specialists Conference, Anaheim, CA, USA.
28. Experimental Determination of the Uncertainty of the Absorption Coefficient of Crystalline Silicon10.1016/j.egypro.2015.07.025 ↗
29. A simple ray tracer to compute the optical concentration of photovoltaic modules10.1002/pip.647 ↗
30. Impact of PV module configuration on energy yield under realistic conditions10.1007/s11082-017-0903-0 ↗
31. Evaluation of the aging behavior of ethylene copolymer films for solar applications under accelerated weathering conditions10.1016/j.solener.2009.01.009 ↗
32. Series–parallel PV array reconfiguration: Maximization of the extraction of energy and much more10.1016/j.apenergy.2015.08.073 ↗
33. Balato, M., Costanzo, L., and Vitelli, M. (2015, January 22–25). Multi-objective optimization of PV arrays performances by means of the dynamical reconfiguration of PV modules connections. Proceedings of the International Conference on Renewable Energy Research and Applications (ICRERA), Palermo, Italy.10.1109/ICRERA.2015.7418685 ↗
34. Detection of Degradation Effects in Field-Aged c-Si Solar Cells through IR Thermography and Digital Image Processing10.1155/2012/396792 ↗