Title
Lifetime Assessment by Intermittent Inspection under the Mixture Weibull Power Law Model with Application to XLPE Cables

Authors
H. Hirose

Source
Lifetime Data Analysis, Vol.3, No.2, pp.179-189 (1997)

Abstract
This paper proposes a new treatment for electrical insulation degradation.
Some types of insulation which have been used under various circumstances are
considered to degrade at various rates in accordance with
their stress circumstances. The cross-linked polyethylene
(XLPE) insulated cables inspected by major Japanese electric companies clearly
indicate such phenomena. By assuming that the inspected specimen is sampled
from one of the clustered groups, a mixed degradation model can be constructed.
Since the degradation of the insulation under common circumstances is considered to
follow a Weibull distribution, a mixture model and a Weibull
power law can be combined. This is called {\it The mixture Weibull power law model}.
By using the maximum likelihood estimation for the newly proposed model to Japanese
22 and 33kV insulation class cables, they are clustered into a certain number of
groups by using the AIC and the generalized likelihood ratio test method.
The reliability of the cables at specified years are assessed.

Key Words
Mixture, Weibull power law, lifetime, AIC, maximum likelihood estimation,
intermittent inspection, degradation

Citation

 

Times Cited in Web of Science: 4

Times Cited in Google Scholar: 6

Times Cited in Scopus: 4

Cited in Books: Horst Rinne, The Weibull Distribution: A Handbook, Chapman and Hall/CRC 2008.; Vilijandas Bagdonavicius, Mikhail Nikulin, Accelerated Life Models: Modeling and Statistical Analysis, Chapman & Hall/CRC (2001); D.N.P. Murthy, M. Xie, R. Jiang, Weibull Models, Wiley (2004)

WoS: IEEE TRANSACTIONS ON DIELECTRICS AND ELECTRICAL INSULATION 14 (5): 1255-1263 OCT 2007; IEEE TRANSACTIONS ON DIELECTRICS AND ELECTRICAL INSULATION 13 (1): 146-159 FEB 2006; IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES 巻: E86A 号: 5 ページ: 1256-1265 発行: MAY 2003; PROCEEDINGS OF THE 7TH INTERNATIONAL CONFERENCE ON PROPERTIES AND APPLICATIONS OF DIELECTRIC MATERIALS, VOLS 1-3 ページ: 978-981 発行: 2003