ESTIMATION OF RELIABILITY PARAMETERS FOR POWER TRANSFORMERS

Authors:

Nabila Al Balushi,Waleed Al Khairi,S. M. Rizwan,S Z Taj,

DOI NO:

https://doi.org/10.26782/jmcms.2024.11.00010

Keywords:

Best-fit distribution,Maximum likelihood estimation,Rank regression,reliability,Transformer,

Abstract

Power transformers play an important role in the efficient delivery of power to consumers. Their failure leads to significantly higher losses and maintenance costs. Therefore, it is essential to have an optimal maintenance strategy in place for the transformers. However, to design an effective maintenance strategy, real failure data of the transformers need to be collected and studied to identify the failure patterns. To facilitate the analysis presented in this paper, five years of real failure data of a transformer system is collected from a power distribution company. The best-fit distribution for the failure times data of the system is found using AIC, BIC, and LKV values. Useful reliability parameters of the system are evaluated using the Maximum Likelihood Estimation and Rank Regression Method. Life data analysis is performed to estimate the reliable life, mean time to failure, and remaining lifetime of the entire system and its subsystems.

Refference:

I. Akaike, H. (1974). A new look at the statistical model identification. IEEE Transactions on Automatic Control, 19(6), 716–723. 10.1109/TAC.1974.1100705
II. Chen, T., Tang, W., Lu, Y., and Tu, X. (2014). Rank regression: an alternative regression approach for data with outliers. Shanghai Archives of Psychiatry, 26(5), 310-315. 10.11919/j.issn.1002-0829.214148
III. Cheng, J., Cho, S., Tan, Y.P., and Hu, G. (September 11-14, 2023). Deep learning-enabled statistical model estimation for power transformers with censoring and truncation problems. Asia Pacific Conference of the PHM society, Tokyo, Japan. 10.36001/phmap.2023.v4i1.3762
IV. El-Bassiouny, A., El-Shimy, M., and Hamouda, R. (2019). Probabilistic analysis of the reliability performance for power transformers in Egypt. Journal of Renewable Energy and Sustainable Development, 5(2), 46-56.
V. Jagtap, H.P., Bewoor, A.K., Kumar, R., Ahmadi, M.H., El Haj Assad, M., and Sharifpur, M. (2021). RAM analysis and availability optimization of thermal power plant water circulation system using PSO. Energy Reports, 7, 1133–1153. 10.1016/j.egyr.2020.12.025
VI. Kumar, A., Garg, R., and Barak, M.S. (2022). Performance analysis of computer systems with Weibull distribution subject to software upgrade and load recovery. Life Cycle Reliability and Safety Engineering, 12, 51–63. 10.1007/s41872-022-00211-5
VII. Maihulla, A.S., Yusuf, I., and Bala S.I. (2023). Weibull comparison based on reliability, availability, maintainability, and dependability (RAMD) analysis. Reliability: Theory & Applications, 1(72), 120-132.
VIII. Mirzai, M., Gholami, A., and Aminifar, F. (2006). Failures analysis and reliability calculation for power transformers, Journal of Electrical Systems, 2(1), 1–12.
IX. Myung, I.J. (2003). Tutorial on maximum likelihood estimation. Journal of Mathematical Psychology, 47(1), 90–100. 10.1016/S0022-2496(02)00028-7
X. Nabila Al Balushi. (2021). A review of the reliability analysis of the complex industrial systems, Advances in Dynamical Systems and Applications, 16(1), 257-297.
XI. Nabila Al Balushi, Rizwan, S.M., Taj, S.Z., and Waleed Al Khairi. (2023). Reliability analysis of power transformers of a power distribution company. International Journal of System Assurance Engineering and Management. 10.1007/s13198-023-02042-8
XII. Oliveira Neto, A.B., Costa, E.G., Moraes, V.S., and Ferreira, T.V. (August 27-September 01, 2017). Methodology for reliability analysis of power transformers based on failure data. The 20th International Symposium on High Voltage Engineering, Buenos Aires, Argentina.
XIII. Padmavathi, N., Rizwan, S.M., Pal, A., and Taneja, G. (2012). Reliability analysis of an evaporator of a desalination plant with online repair and emergency shutdowns. Aryabhatta Journal of Mathematics & Informatics, 4(1), 1-12.
XIV. Schwarz, G.E. (1978). Estimating the dimension of a model. Annals of Statistics, 6 (2), 461–464. 10.1214/aos/1176344136
XV. Seyedi, H., Fotuhi, M., and Sanaye-Pasand, M. (2006). An extended Markov model to determine the reliability of protective system, 2006 IEEE Power India Conference. 10.1109/POWERI.2006.1632549
XVI. Singla, S., Mangla, D., Panwar, P., and Taj, S.Z. (2024). Reliability optimization of a degraded system under preventive maintenance using genetic algorithm. Journal of Mechanics of Continua and Mathematical Sciences, 19(1), 1-14.
XVII. Taj, S.Z., and Rizwan, S.M. (2021). Estimation of reliability indices of a complex industrial system using best–fit distribution for repair/restoration times. International Journal of Advanced Research in Engineering and Technology, 12(2), 132-146.
XVIII. Taj, S.Z., Rizwan, S.M., Alkali, B.M., Harrison, D.K., and Taneja, G. (2020). Three reliability models of a building cable manufacturing plant: a comparative analysis. International Journal of Systems Assurance Engineering and Management. 10.1007/s13198-020-01012-8
XIX. Tang, S., Hale, C., and Thaker, H. (2014). Reliability modelling of power transformers with maintenance outage. Systems Science & Control Engineering, 2(1), 316–324. 10.1080/21642583.2014.901930
XX. Vahidi, F., and Tenbohlen, S. (November 2014). Statistical failure analysis of European substation transformers. Conference: 6. ETG-Fachtagung Diagnostik elektrischer Betriebsmittel.
XXI. Wei, X., Wang, Z., and Guo, J. (2022). Reliability assessment of transformer insulating oil using accelerated life testing. Scientific Reports, 12. 10.1038/s41598-022-26247-2
XXII. Yaqoob Al Rahbi, Rizwan, S.M., Alkali, B.M., Cowell, A. and Taneja, G. (2019). Reliability analysis of a rodding anode plant in aluminium industry with multiple units’ failure and single repairman. International Journal of System Assurance Engineering and Management, 10, 97-109. 10.1007/s13198-019-00771-3

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