Advertisement

Reliability Modeling with Application for Calibration Data

  • Bing-yue LiuEmail author
  • Feng Qin
  • Shi-qiao Liu
  • Sheng-wu Cai
Conference paper

Abstract

In order to assess and predict the reliability of critical components, using performance degradation data for modeling has become a significant approach. In addition, degradation data often provides more information about the components’ performance. The degradation can be detected directly or indirectly by records of surveillance, inspection and check. The degradation increases with time in an uncertain manner and needs to be modelled as a continuous time stochastic process. A wiener process model for modeling the calibration data has been developed. The unknown parameters of the model are obtained by the maximum likelihood estimation approach. The approach is illustrated by a real world example. This resulting model is applied to predict the reliability measure in given longer calibration intervals. The reliability index can be an input for maintenance effectiveness assessment and also be a performance indicator in a system or component monitoring program, etc.

Keywords

Calibration Degradation Reliability Wiener process 

References

  1. 1.
    A. Birolini, Reliability Engineering Theory and Practice, 5th edn., ch. 1 (Springer, New York, Berlin, Heidelberg, 2007), p. 2Google Scholar
  2. 2.
    W.Q. Meeker, N. Doganaksoy, G.J. Hahn, Using degradation data for product reliability analysis. Qual. Prog. 34(6), 60–65 (2001)Google Scholar
  3. 3.
    I.B. Gertsbackh, K.B. Kordonskiy, Models of Failure, ch. 3 (Springer, New York, 1969), pp. 86–90Google Scholar
  4. 4.
    M.J. Zuo, R.Y. Jiang, R.C.M. Yam, Approaches for reliability modeling of continuous-state devices. IEEE Trans. Reliab. 48(1), 9–18 (1999)CrossRefGoogle Scholar
  5. 5.
    N. Gorjian, L. Ma, M. Mittinty, P. Yarlagadda, Y. Sun, A review on degradation models in reliability analysis, in Proceedings of the 4th Conference World Congress on Engineering Asset Management (Marriott Athens Ledra Hotel, Athens), pp. 28–30Google Scholar
  6. 6.
    H.B. Hao, C. Su, Z.Z. Qu, Reliability analysis for mechanical components subject to degradation process and random shock with wiener process, in Proceedings of the 19th Conference Industrial Engineering and Engineering Management (Springer, Berlin, Heidelberg), pp. 531–543CrossRefGoogle Scholar
  7. 7.
    E. Davis, D. Funk, Technical report. Guidelines for instrument calibration extension/reduction—revision 1: statistical analysis of instrument calibration data. EPRI, Palo Alto, CA, 1998. TR-103335-R1Google Scholar
  8. 8.
    P. Zhou, C.H. Qiu, Q.B. Chu, Application of AFAL methodology in substation of instrument calibration intervals extension in nuclear power plant. Nucl. Power Eng. 34(5), 115–117 (2013) (in Chinese)Google Scholar
  9. 9.
    Y. Chen, L.H. Zhao, T. Yu, L.H. He, Z.J. Liu et al., Extension of instrument calibration intervals base on improved AFAL analysis. Nucl. Power Eng. 38(2), 64–67 (2017) (in Chinese)Google Scholar
  10. 10.
    R. Jiang, D.N.P. Murthy, Maintenance: Decision Models for Management (Science Press, Beijing, 2008), p. 102Google Scholar
  11. 11.
    Z. Sheng, S.Q. Xie, C.Y. Pan, Probability and Statistics (Higher Education Press, Beijing, 2008), p. 315 (in Chinese)Google Scholar
  12. 12.
    E.A. Elsayed, Reliability Engineering (Publishing House of Electronics Industry, Beijing, 2013), p. 287 (in Chinese)Google Scholar
  13. 13.
    R. Jiang, M.J. Zuo, Reliability Models and Application (China Machine Press, Beijing, 1999), p. 34 (in Chinese)Google Scholar
  14. 14.
    B.X. Dong, S.J. Wang, M.Y. Chen, G.F. Zhai, Reliability assessment method for aerospace relay based on wiener process. Elect. Energy Manage. Technol 11, 12–16 (2015)Google Scholar
  15. 15.
    ANSI N15.15-1974, Assessment of the assumption of normality (Employing Individual Observed Values)Google Scholar

Copyright information

© Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  • Bing-yue Liu
    • 1
    Email author
  • Feng Qin
    • 1
  • Shi-qiao Liu
    • 1
  • Sheng-wu Cai
    • 1
  1. 1.Nuclear Power Maintenance Center, Research Institute of Nuclear Power OperationWuhanChina

Personalised recommendations