Reliability Assessment for the Solenoid Valve of a High-Speed Train Braking System under Small Sample Size

Abstract

Reliability assessment of the braking system in a high-speed train under small sample size and zero-failure data is very important for safe operation. Traditional reliability assessment methods are only performed well under conditions of large sample size and complete failure data, which lead to large deviation under conditions of small sample size and zero-failure data. To improve this problem, a new Bayesian method is proposed. Based on the characteristics of the solenoid valve in the braking system of a high-speed train, the modified Weibull distribution is selected to describe the failure rate over the entire lifetime. Based on the assumption of a binomial distribution for the failure probability at censored time, a concave method is employed to obtain the relationships between accumulation failure probabilities. A numerical simulation is performed to compare the results of the proposed method with those obtained from maximum likelihood estimation, and to illustrate that the proposed Bayesian model exhibits a better accuracy for the expectation value when the sample size is less than 12. Finally, the robustness of the model is demonstrated by obtaining the reliability indicators for a numerical case involving the solenoid valve of the braking system, which shows that the change in the reliability and failure rate among the different hyperparameters is small. The method is provided to avoid misleading of subjective information and improve accuracy of reliability assessment under conditions of small sample size and zero-failure data.

Mechanical Damage Assessment for Pneumatic Control Valve Based on Statistical Reliability Model

“…To maintain a long life, low cost for maintenance and to achieve a high-profit rate it is required to design reliability assessment properly [9]. The other components of reliability assessment are availability and maintainability which together form RAM measurement.…”

“…As per the survey, 30% of failure occurs in process plants are due to control valves. These failures happen due to the nonlinearity of systems such as stiction or deadband [9,10]. Since the percentage of failure is considered bigger hence this failure can decrease productivity and lower the profitability [10,11].…”

Failure Type Prediction Using Physical Indices and Data Features for Solenoid Valve

“…The braking system is a part of high-speed train safety systems [1]. The high-speed solenoid valve is a critical component in the braking system [2]. Accurately predicting the failure type of the solenoid valve is an important guarantee for safe operation of the braking system.…”

Correlation between surface roughness parameters and contact stress of gear

“…Now the small sample theory of multivariate statistical analysis plays an increasingly important role in research. Yang et al 36 proposed a reliability evaluation method for the high-speed braking train system by using the Bayes theorem of small sample. Zhu et al 37 explained the life prediction problem of a hydraulic actuator based on the optimal linear unbiased estimation test of small sample and verified the parameters of the model.…”