1. A new aspect of time-dependent clustering model for non-uniform dielectric TDDB
- Author
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H. Tsuchiya, Tatsuo Shimizu, K. Ohgata, H. Aono, Naohito Suzumura, and M. Ogasawara
- Subjects
010302 applied physics ,Physics ,Weibull modulus ,Statistical parameter ,02 engineering and technology ,Dielectric ,021001 nanoscience & nanotechnology ,01 natural sciences ,Shape parameter ,Electric field ,0103 physical sciences ,Generalized extreme value distribution ,Electronic engineering ,Statistical physics ,0210 nano-technology ,Scale parameter ,Weibull distribution - Abstract
We investigated the time-dependent clustering (TDC) model for time-dependent dielectric breakdown (TDDB) of non-uniform dielectrics and revealed for the first time that the TDC model is a compound Weibull model that is expressed as a superposition of Weibull distributions. The Weibull model has two statistical parameters, scale parameter η and shape parameter β We clarified the precondition that the TDC model holds when term ηβ of the Weibull model is distributed according to an inverse-gamma distribution. By using our finding, we proposed a new method to directly estimate the variations of electric field and effective space from TDDB data. We found that the corresponding electric field distribution is a generalization of extreme value distribution, which is a natural consequence since the lifetime is determined by the maximum value of the electric field.
- Published
- 2016
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