Reliability performance analysis in power distribution system using Weibull distribution-A case study

In planning and operation of an electric power distribution system, accurate estimation of the reliability performance of its different components is a fundamental and challenging part. Weibull probability distribution has been used frequently for the reliability performance analysis. Over the years several new distributions have been proposed that are either derived from, or in some way related to, the Weibull distributions. They provide a richness that makes them appropriate to model complex data sets. Effective reliability performance analysis require good understanding of the properties of these different distributions as well as tools and techniques to determine if a particular distribution is appropriate to model a given data set. Many of these derived distributions have their own shape in the Weibull probability plot (WPP). Hence, WPP plot can be used as a tool for model selection through these distributions. This paper presents a case study regarding the reliability performance analysis of the electricity meter based on the field failure data using the Weibull distribution family. Weibull Probability plot (WPP) is used as a tool for the model selection and validation.

[1]  Arthur J. Hallinan A Review of the Weibull Distribution , 1993 .

[2]  Sohrab Asgarpoor,et al.  A fuzzy-based approach for generation system reliability evaluation , 2000 .

[3]  T. C. Cheng,et al.  Failure analysis of composite dielectric of power capacitors used in distribution systems , 1999 .

[4]  E. Kaplan,et al.  Nonparametric Estimation from Incomplete Observations , 1958 .

[5]  Zhejun Gong,et al.  Estimation of mixed Weibull distribution parameters using the SCEM-UA algorithm: Application and comparison with MLE in automotive reliability analysis , 2006, Reliab. Eng. Syst. Saf..

[6]  Ming J. Zuo,et al.  Weibull and inverse Weibull mixture models allowing negative weights , 1999 .

[7]  Chanan Singh,et al.  Short-term reliability evaluation using control variable based dagger sampling method , 2010 .

[8]  Lalit Goel,et al.  Comprehensive reliability assessment of substation originated outages using the Monte Carlo simulation technique , 1999 .

[9]  Jian Xu,et al.  A three-parameter Weibull statistical analysis of the strength variation of bulk metallic glasses , 2009 .

[10]  R. B. Misra Reliability assessment for static electricity meters , 1999 .

[11]  S. K. Sinha Bayesian estimation of the parameters and reliability function of a mixture of Weibull life distributions , 1987 .

[12]  Vladica Mijailovic Probabilistic method for planning of maintenance activities of substation components , 2003 .

[13]  J. A. Carta,et al.  Analysis of two-component mixture Weibull statistics for estimation of wind speed distributions , 2007 .

[14]  A. S. Farag,et al.  Comparison of two bulk power adequacy assessment programs: TRELSS and COMREL , 1996, Proceedings of 1996 Transmission and Distribution Conference and Exposition.

[15]  N. Balakrishnan,et al.  Reliability properties of generalized mixtures of Weibull distributions with a common shape paramete , 2011 .

[16]  Matija Fajdiga,et al.  Reliability approximation using finite Weibull mixture distributions , 2004, Reliab. Eng. Syst. Saf..

[17]  Xiaofu Xiong,et al.  Estimating wind speed probability distribution using kernel density method , 2011 .

[18]  Vladica Mijailovic,et al.  Optimal spares availability strategy for power transformer components , 2010 .

[19]  Vladica Mijailovic,et al.  Method for determining optimal power transformers exploitation strategy , 2012 .

[20]  T. C. Cheng,et al.  Failure analysis of composite dielectric of power capacitors used in distribution systems , 1998 .

[21]  Tongdan Jin,et al.  Reliability centered planning for distributed generation considering wind power volatility , 2011 .

[22]  Sohrab Asgarpoor,et al.  Distribution system reliability evaluation with aging equipment , 1995 .

[23]  Roy Billinton,et al.  Reliability evaluation of engineering systems : concepts and techniques , 1992 .