TARU PUBLICATIONS
 Journal of Statistics and Management Systems cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0014·ISSN (Print): 0972-0510
Powered by:Powered by

The Journal of Statistics and Management Systems (JSMS) is a world leading journal publishing high quality, rigorously peer-reviewed original research on theoretical and applied statistics and management systems since 1998. The scope is intentionally broad, but papers must make a novel contribution to the field to be considered for publication. Topics include, but are not limited to, the following: • Statistics • Applied Statistics • Industrial Statistics • Statistical Inference • Interdisciplinary role of Statistics • Actuarial Sciences • Decision Sciences • Managerial Aspects • Management Sciences • Management Information Systems

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Open Access Research Article

Statistical distribution of solar plant power with PV modules subject to failure

* , ,

* Corresponding author · click or hover a name for details

pp. 39–50Vol. 29Issue 1January 2026DOI: 10.47974/JSMS-1294XML
Received:
08 Nov 2022
Published Online:
08 Jul 2025
Article type:
Research Article
Language:
EN
Article no.:
JSMS-1294
Pages:
39–50

Abstract

It is important to model the probability distribution of solar power to draw conclusions for installing a solar plant. The amount of solar power is depending on solar radiation. In this paper, we deal with the statistical distribution of the power generated by a system of PV modules subject to failure. We obtain some characteristics of the system considering the reliability of modules. We model the mean power and provide the optimum number of PV modules that need to be installed on the power plant. We present a real data analysis for a specific location in Izmir, Türkiye.

Keywords

Subject Classifications

60E0590B25

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).

Views: 101Downloads: 6Citations: 0