Gas turbine reliability modelling based on a bath shaped rate failure function: modified Weibull distribution validation
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ORIGINAL RESEARCH
Gas turbine reliability modelling based on a bath shaped rate failure function: modified Weibull distribution validation Ahmed Zohair Djeddi1,2 · Ahmed Hafaifa1,2 · Mouloud Guemana2 · Abdellah Kouzou1,2 Received: 29 March 2020 / Accepted: 4 September 2020 © Society for Reliability and Safety (SRESA) 2020
Abstract In industrial plants, the reliability analysis and evaluation approaches are used mainly to avoid the failures and the damage of the equipment, where the main aim is to increase their life cycle. Within this framework, the present paper deals with the modeling of the reliability which is characterized by a rate failure function with a bath form shape, applied to a gas turbine system. In this paper, the mathematical tools based on modified Weibull distribution are integrated to determine the robust reliability models of the studied system. The proposed approach aims to ensure the operational availability of the studied system with a logistic function which allows to organize and to carry out series of precautions to avoid the unexpected failures. Finally, simulation results have been performed for the validation of the proposed approach in comparison to other standard reliability approaches. Keywords Reliability modelling · Weibull distribution · Data gathering · Gas turbine · Failure rate List of symbols F(t) Distribution function E Failure free function f (t) Failure probability density function h(t) Hazard function i Index ti Ordered times to failure of failed units R(t) Reliability function 𝜎 Standard deviation S(t) Survival function t Time 𝛽(t) Variable shape parameters 𝜆 Failure rate Xi X axis * Ahmed Hafaifa a.hafaifa@univ‑djelfa.dz Ahmed Zohair Djeddi az.djeddi@univ‑djelfa.dz Mouloud Guemana guemana.mouloud@univ‑medea.dz Abdellah Kouzou [email protected] 1
Gas Turbine Joint Research Team, University of Djelfa, Djelfa, Algeria
Applied Automation and Industrial Diagnostics Laboratory, University of Djelfa, Djelfa, Algeria
2
Yi Y axis P Dynamic weight coefficient of each failure mode CDF Cumulative distribution function MLE Maximum likelihood estimation MTBF Main time between failure TTT Total time in test WPP Weibull probability paper 𝛼̂ , 𝛽̂ , 𝛾̂ Estimate scale, shape and location parameters of 3 parameter Weibull distribution 𝛼 , 𝛽 , 𝛾 Scale, shape and location parameters of 3 parameter Weibull distribution a , b , c , d Parameters of the proposed Weibull model â , b̂ , ĉ , d̂ Estimate parameters of the proposed Weibull model
1 Introduction In this work, the evaluation of a gas turbine reliability is presented, where the proposed approach is based on the development of tools that allow the estimation of the degradation process in these systems with the analysis of their availability. The main aim of this work is to explore new reliability distributions based on the determination of the hazard function of a gas turbine, using principally the modified Weibull function and taking into account the
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