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**A case study of reliability and performance of the electric power distribution station based on time between failures.**
*(English)*
Zbl 1299.90228

Summary: This paper presents an algorithm for estimating the performance of high-power station systems connected in series, parallel, and mixed series-parallel with collective factor failures caused by any part of the system equipment. Failures that occur frequently can induce a selective effect, which means that the failures generated from different equipment parts can cause failures in various subsets of the system elements. The objectives of this study are to increase the lifetime of the station and reduce sudden station failures. The case study data was collected from an electricity distribution company in Baghdad, Iraq. Data analysis was performed using the most valid distribution of the Weibull distribution with scale parameter \(\alpha = 1.3137\) and shape parameter \(\beta = 94.618\). Our analysis revealed that the reliability value decreased by 2.82% in 30 days. The highest critical value was obtained for components \(T_{1}, CBF_{5}, CBF_{7}, CBF_{8}, CBF_{9}\), and \(CBF_{10}\) and must be changed by a new item as soon as possible. We believe that the results of this research can be used for the maintenance of power systems models and preventive maintenance models for power systems.

### MSC:

90B90 | Case-oriented studies in operations research |

90B25 | Reliability, availability, maintenance, inspection in operations research |

62N05 | Reliability and life testing |

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\textit{A. Baharum} et al., Math. Probl. Eng. 2013, Article ID 583683, 6 p. (2013; Zbl 1299.90228)

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### References:

[1] | R. Billinton and R. N. Allan, Reliability Evaluation of Power Systems, Plenum Press, New York, NY, USA, 2nd edition, 1996. · Zbl 0512.60082 |

[2] | E. Popova, “Basic optimality results for Bayesian group replacement policies,” Operations Research Letters, vol. 32, no. 3, pp. 283-287, 2004. · Zbl 1035.62022 |

[3] | D. Montoro-Cazorla and R. Pérez-Ocón, “Reliability of a system under two types of failures using a Markovian arrival process,” Operations Research Letters, vol. 34, no. 5, pp. 525-530, 2006. · Zbl 1152.90408 |

[4] | F. P. G. Marquez, P. Weston, and C. Roberts, “Failure analysis and diagnostics for railway trackside equipment,” Engineering Failure Analysis, vol. 14, no. 8, pp. 1411-1426, 2007. |

[5] | I. T. Castro and E. L. Sanjuán, “An optimal maintenance policy for repairable systems with delayed repairs,” Operations Research Letters, vol. 36, no. 5, pp. 561-564, 2008. · Zbl 1210.90055 |

[6] | P. K. Kapur, S. Anand, S. Yamada, and V. S. S. Yadavalli, “Stochastic differential equation-based flexible software reliability growth model,” Mathematical Problems in Engineering, vol. 2009, Article ID 581383, 15 pages, 2009. · Zbl 1191.68181 |

[7] | Y. Zhang, H. Zhou, S. J. Qin, and T. Chai, “Decentralized fault diagnosis of large-scale processes using multiblock kernel partial least squares,” IEEE Transactions on Industrial Informatics, vol. 6, no. 1, pp. 3-10, 2010. |

[8] | C. Barbosa, A. Francato, C. Mariotoni, I. Ferreira, N. Mascia, and P. Barbosa, “Analysis of critical field procedures for power HV overhead transmission line splices installed after restructuring of Brazilian electrical sector,” Engineering Failure Analysis, vol. 18, no. 7, pp. 1842-1847, 2011. |

[9] | S. Erylmaz, “Dynamic behavior of k-out-of-n:G systems,” Operations Research Letters, vol. 39, no. 2, pp. 155-159, 2011. · Zbl 1219.93066 |

[10] | Z. Mei, Y. Tian, and D. Li, “Analysis of parking reliability guidance of urban parking variable message sign system,” Mathematical Problems in Engineering, vol. 2012, Article ID 128379, 11 pages, 2012. · Zbl 1264.90079 |

[11] | Z. Yingwei, C. Tianyou, L. Zhiming, and Y. Chunyu, “Modeling and monitoring of dynamic processes,” IEEE Transactions on Neural Networks and Learning Systems, vol. 23, no. 2, pp. 277-284, 2012. |

[12] | M. S. Hamada, A. G. Wilson, C. S. Reese, and H. F. Martz, Bayesian Reliability, Springer Series in Statistics, Springer, New York, NY, USA, 2008. · Zbl 1165.62074 |

[13] | F. M. Alwan, A. Baharum, and S. T. Hasson, “Reliability and failure analysis for high power station based on operation time,” in Proceedings of International Conference on Statistics in Science, Business, and Engineering (ICSSBE ’12), pp. 370-373, Langkawi, Malaysia, 2012. · Zbl 1264.90067 |

[14] | P. A. Morris, R. Cedolin, and C. D. Feinstein, “Reliability of electric utility distribution systems,” EPRI White Paper 1000424, 2000. |

[15] | G. Brunekreeft and T. McDaniel, “Policy uncertainty and supply adequacy in electric power markets,” TILEC Discussion Paper, University of Tilburg, 2005. |

[16] | C. S. Aksezer, “Failure analysis and warranty modeling of used cars,” Engineering Failure Analysis, vol. 18, no. 6, pp. 1520-1526, 2011. |

[17] | F. M. Alwan, A. Baharum, and S. T. Hasson, “The p.d.f fitting to time between failure for high power stations,” Applied Mathematical Sciences, vol. 6, no. 125-128, pp. 6327-6339, 2012. · Zbl 1264.90067 |

[18] | F. M. Alwan, A. Baharum, and S. T. Hasson, “The performance of high power station based on time between failures (TBF),” Research Journal of Applied Sciences, Engineering and Technology, vol. 5, no. 13, pp. 3489-3498, 2013. · Zbl 1299.90228 |

[19] | R. B. Abernethy, The New Weibull Handbook: Reliability & Statistical Analysis for Predicting Life, Safety, Survivability, Risk, Cost and Warranty Claims, Gulf Publishing, Houston, Tex, USA, 4th edition, 2003. |

[20] | C. E. Ebeling, An Introduction to Reliability and Maintainability Engineering, McGraw-Hill, Singapore, 1997. |

[21] | C. B. Guure, N. A. Ibrahim, and A. O. M. Ahmed, “Bayesian estimation of two-parameter Weibull distribution using extension of Jeffreys’ prior information with three loss functions,” Mathematical Problems in Engineering, vol. 2012, Article ID 589640, 13 pages, 2012. · Zbl 1264.62023 |

[22] | S.-Z. Yu, “Hidden semi-Markov models,” Artificial Intelligence, vol. 174, no. 2, pp. 215-243, 2010. · Zbl 1344.68181 |

This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.