Evaluation of mean life of power equipment based on 3-parameter weibull distribution

Yicheng Zhou*, Moritoshi Kato, Naoki Saitou, Ryuichi Yokoyama

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Evaluation of the mean life of equipments is a basic issue for effective equipment maintenance. This paper presents a method to estimate the mean life and its standard deviation of power system equipments with limited end-of-life failure data. We propose a model using 3-parameter Weibull distribution based on the results Li (2004) produced. It is assumed that the mean life of power equipments consists of "non end-of-life failure period" and "period of aging end-of-life failure", which is represented by a location parameter of Weibull distribution. Three parameters of Weibull distribution are estimated by applying Levenberg-Marquardt method, which is one of the optimization algorithms. The computational procedures of non-linear regression, which take account both of good convergence and practical use are proposed. Numerical examples show that our model better fits to actual data than 2-parameter Weibull distribution model.

Original languageEnglish
JournalIEEJ Transactions on Power and Energy
Issue number7
Publication statusPublished - 2009


  • 3-parameter Weibull distribution
  • Equipment maintenance
  • Failure data
  • Mean life
  • Non-linear regression
  • Power equipment

ASJC Scopus subject areas

  • Electrical and Electronic Engineering
  • Energy Engineering and Power Technology


Dive into the research topics of 'Evaluation of mean life of power equipment based on 3-parameter weibull distribution'. Together they form a unique fingerprint.

Cite this