Autors: Lozanov, Y. I., Tzvetkova, S. G., Petleshkov, A. S. Title: Markov analysis of the reliability of Solar Energy-based Pumping systems Keywords: dynamic reliability behavior, Markov analysis, solar systemsAbstract: This paper presents a comprehensive Markov chain model for the reliability and availability analysis of a solar-powered pump system. The model incorporates a detailed 12-state space that moves beyond simple binary operation to include critical partial failure modes, such as PV array shading, and defines all transition paths between operational, degraded, and failed states based on component-level failures. Failure and repair rates are rigorously parameterized using industry-standard data guided by IEC 60300-3-14, ensuring a realistic representation of maintenance logistics. The resulting transition rate matrix enables the calculation of key performance metrics, including steady-state availability, the reliability function R(t), and mean time to failure (MTTF). A sensitivity analysis of the model identifies the most critical components, whose performance most significantly impacts overall system uptime. These findings provide valuable, quantitative insights for system designers and maintenance planners to enhance operational resilience, optimize spare part inventory, and strategically allocate resources for maximum system availability. References - H. Abunima and J. Teh, “Reliability modelling of PV systems based on time-varying failure rates,” IEEE Access, vol. 8, pp. 15065–15079, 2020, doi: 10.1109/ACCESS.2020.2966922
- A. S. Maihulla and I. Yusuf, “Markov Modeling and Reliability Analysis of Solar Photovoltaic System Using Gumbel–Hougaard Family Copula,” International Journal of Reliability, Risk and Safety: IJRRS, vol. 4, no. 2, pp. 47–58, 2021, doi: 10.30699/IJRRS.4.2.6.
- M. Musa, I. Yusuf, and A. Sanusi, “Markov chain availability and sensitivity analysis of solar water pumping system,” Life Cycle Reliability and Safety Engineering, Aug. 2022, doi: 10.1007/s41872-022-00200-8.
- S. Du, Z. Zeng, L. Cui, and R. Kang, “Reliability analysis of Markov history-dependent repairable systems with neglected failures,” Reliability Engineering and System Safety, vol. 159, pp. 134–142, 2017, doi: 10.1016/j.ress.2016.10.030.
- Spertino, F. & Chiodo, Elio & Ciocia, Alessandro & Malgaroli, Gabriele & Ratclif, Alessandro. (2020). Maintenance Activity, Reliability, Availability and Related Energy Losses in Ten Operating Photovoltaic Systems up to 1.8 MW. IEEE Transactions on Industry Applications. PP. 1-1. 10.1109/TIA.2020.3031547.
- IEC 60300-3-14, *Dependability management – Part 3-14: Application guide – Maintenance and maintenance support*, International Electrotechnical Commission, 2004.
- S. O. Obatola, "Reliability Overview of Grid-Connected Solar PV System: A Review," Archives of Advanced Engineering Science, 2024.
Issue
| 2025 17th Electrical Engineering Faculty Conference - Energetics and Efficiency, BulEF 2025, 2026, Bulgaria, https://doi.org/10.1109/BulEF66320.2025.11298985 |
Copyright Institute of electrical and electronics engineers |