Statistical distribution of solar plant power with PV modules subject to failure
*Melek EsemenCorresponding authormelek.esemen@gmail.comThe Graduate School of Natural and Applied Science Izmir Dokuz Eylul UniversityBuca, Izmir, 35160, Türkiye0000-0003-3725-9502View full profile → , Selma Gürlerselma.erdogan@deu.edu.trDepartment of Statistics Dokuz Eylul University Faculty of ScienceBuca, Izmir, 35160, Türkiye0000-0002-3119-1298View full profile → , G. Yazgı Tütüncüyazgi.tutuncu@ieu.edu.trDepartment of Mathematics Izmir University of EconomicsBalcova, Izmir, 35330, Türkiye0000-0002-9363-6141View full profile →
* Corresponding author · click or hover a name for details
- Received:
- 08 Nov 2022
- Published Online:
- 08 Jul 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JSMS-1294
- Pages:
- 39–50
Abstract
Keywords
Subject Classifications
References
[1] M. Marwali, M. Haili, S. Shahidehpour, and K. Abdul-Rahman, “Short term generation scheduling in photovoltaic-utility grid with battery storage,” IEEE Transactions on Power Systems, vol. 13, no. 3, pp. 1057-1062 (1998).
[2] J. Park, W. Liang, J. Choi, A. El-Keib, M. Shahidehpour, and R. Billinton, “A probabilistic reliability evaluation of a power system including solar/photovoltaic cell generator,” ser. 2009 IEEE Power & Energy Society General Meeting, pp. 1-6 (2009).
[3] J. Choi, J. Park, M. Shahidehpour, and R. Billinton, “Assessment of CO2 reduction by renewable energy generators,” ser. 2010 Innovative Smart Grid Technologies (ISGT), pp. 1-5 (2010).
[4] G. K. Singh, “Solar power generation by PV (photovoltaic) technology: A review,” Energy, vol. 53, pp. 1-13 (2013).
[5] P. Zhang, W. Li, S. Li, Y. Wang, and W. Xiao, “Reliability assessment of photovoltaic power systems: Review of current status and future perspectives,” Applied Energy, vol. 104, pp. 822-833 (2013).
[6] A. Alferidi and R. Karki, “Development of probabilistic reliability models of photovoltaic system topologies for system adequacy evaluation,” Applied Sciences, vol. 7, no. 2, pp. 176 (2017).
[7] S. Eryilmaz and Y. Devrim, “Theoretical derivation of wind plant power distribution with the consideration of wind turbine reliability,” Reliability Engineering & System Safety, vol. 185, pp. 192-197 (2019).
[8] C. Kan, Y. Devrim, and S. Eryilmaz, “On the theoretical distribution of the wind farm power when there is a correlation between wind speed and wind turbine availability,” Reliability Engineering & System Safety, vol. 203, pp. 107115 (2020).
[9] S. Eryilmaz, _I. Bulank, and Y. Devrim, “Reliability based modeling of hybrid solar/wind power system for long term performance assessment,” Reliability Engineering & System Safety, vol. 209, pp. 107478 (2021).
[10] M. Esemen and S. Gurler, “Reliability based modeling of the performance of solar plants with multistate pv modules,” Hacettepe Journal of Mathematics and Statistics, pp. 1-12 (2022).
[11] Z. M. Salameh, B. S. Borowy, and A. R. Amin, “Photovoltaic module-site matching based on the capacity factors,” IEEE Transactions on Energy Conversion, vol. 10, no. 2, pp. 326-332 (1995).
[12] Y. Atwa, E. El-Saadany, M. Salama, and R. Seethapathy, “Optimal renewable resources mix for distribution system energy loss minimization,” IEEE Transactions on Power Systems, vol. 25, no. 1, pp. 360-370 (2009).
[13] J.-H. Teng, S.-W. Luan, D.-J. Lee, and Y.-Q. Huang, “Optimal charging/discharging scheduling of battery storage systems for distribution systems interconnected with sizeable PV generation systems,” IEEE Transactions on Power Systems, vol. 28, no. 2, pp. 1425-1433 (2012).
[14] T. T. Moe and K. M. Lin, “Solar irradiance and power output modeling of photovoltaic module for reliability studies: case study of Mandalay Region,” ICSTI, Mandalay, pp. 1-6 (2018).



