Reliability Estimation Of Wind Turbines Through Markov Modelling
Article Sidebar
Main Article Content
Abstract
The Reliability of Wind Turbines plays an important role in electricity generation. The Markov Technique has been widely used to evaluate the Reliability of complex systems with multiple failure modes. In this study, Laplace Transform is employed on a repairable four-state (One operational state and three failure state) Markov model to determine the probability of the system. The failure rate and repair rate of the components of Wind Turbines have been analysed over time and the Reliability of Wind Turbines have been effectively evaluated. This study confirms that the proposed approach can derive a set of Probabilistic values and Reliability of the repairable four state system.
Article Details
References
M. T. Chao and C. F. James, “The Reliability of a large series system under Markov structure,” Advances in Applied Probability, vol. 23, no. 4, pp. 894–908, 1991.
M. A. El-Damcese and N. S. Temraz, “Analysis for a parallel repairable system with different failure modes,” Journal of Reliability and Statistical Studies, vol. 5, no. 1, pp. 95–106, 2012.
S. Kalaiarasi, A. Merceline Anita, and R. Geethanjalii, “Analysis of system Reliability using Markov technique,” Global Journal of Pure and Applied Mathematics, vol. 13, no. 9, pp. 5265–5273, 2017.
G. Chopra and M. Ram, “Reliability Measures of Two Dissimilar Units Parallel System Using Gumbel-Hougaard Family Copula,” International Journal of Mathematical, Engineering and Management Sciences, vol. 4, no. 1, pp. 116–130, 2019.
M. El-Damcese, F. Abbas, and E. El-Ghamry, “Reliability analysis of three elements in series and parallel systems under time-varying fuzzy failure rate,” International Journal of Engineer ing, vol. 27, no. 4, pp. 553–560, 2014
P. Rathi, S. C. Malik, and N. Nandal, “Reliability characteristics of a parallel cold standby system of four units with priority proviso,” International Journal of Agricultural and Statistical Sciences, vol. 17, no. 2, pp. 563–572, 2021
G. Saritha, M. Tirumala Devi, and T. Sumathi Uma Maheswari, “Availability measures for 4-component system by using Markov process,” International Journal of Advanced Trends in Computer Science and Engineering, vol. –, pp. 340–344, 2021
G. Saritha, M. Tirumala Devi, and T. Sumathi Uma Maheswari, “The Reliability and availability for non-repairable and repairable systems using Markov modelling,” International Journal of Engineering Research and Technology, vol. 9, no. 2, pp. 169–174, 2020.
J. Carroll, A. McDonald, and D. McMillan, “Failure rate, repair time and unscheduled O&M cost analysis of offshore Wind Turbines,” Wind Energy, vol. 19, no. 6, pp. 1107–1119, 2016.
L. F. Guarda Bräuning, L. Terra, and M. R. Martins, “Failure rate and repair time analysis of offshore Wind Turbines,” in Proceedings of the ASME 2023 42nd International Conference on Ocean, Offshore and Arctic Engineering (OMAE2023), Melbourne, Australia, June 11-16, 2023.
C. Zhu and Y. Li, “Reliability analysis of Wind Turbines,” in Stability Control and Reliable Performance of Wind Turbines, InTechOpen,169-186 2018
J. Li, “Reliability comparative evaluation of active redundancy vs. standby redundancy,” International Journal of Mathematical, Engineering and Management Sciences, vol. 1, no.3, pp. 122–129, 2016.
A. D. Yadav, N. Nandal, and S. C. Malik, “Markov approach for Reliability and availability analysis of a four-unit repairable system,” Reliability: Theory & Applications (RT&A), vol. 18, no. 1, pp. 193-205, 2023.
K. Umamaheshwari and S. Srilakshmi, “Markov model for a system with ‘n’ elements with human error and common cause,” Journal of Xi’an University of Architecture and Technology, vol. 12, no. 5, pp. 2611–2618, 2020.