Title

破壊電圧がワイブル分布に従うときの上昇法インパルス絶縁破壊電圧の推定

Estimating the Impulse Dielectric Breakdown Voltage by the Step-up Method when the Underlying Breakdown Voltage Follows the Weibull Distribution


Authors

広瀬

Hideo HIROSE


Source

電気学会論文誌A, Vol.106-A, No.11, pp.511-518 (昭和61.11)

Trans. IEE of Japar, Vol. 106-A, No. 11, pp.511-518 (1986.11)


Abstract
The step-up method is an experimental technique for determining the impulse dielectric breakdown voltage of an insulator which is not reusable after breakdown. This method often does not yield reliable data because it depends on the applied voltage difference d between two consecutive steps and the number m; of repeat tests at a voltage step. This paper proposes a method of estimating d- and m-independent breakdown voltage distribution, and also an improved step-up method for optimum testing conditions. This estimation assumes that breakdown voltage will follow the Weibull distribution with parameters of scale ~, shape fi, and location y. If all these parameters are unknown, the estimation error will be too large. If either n or y is known, the 40, where 02 is the variance of the optimum condition is that m = I 0.6 ~; d/a ~~ 1 4 andN ' = ' ' ' nlm Weibull distribution and Nmin is the smallest number of specimens when the maximum likelihood estimation is valid. Ifflis known the optimum condition is that m = I d/a イ 1 4 and N ' = 20. ' ' ' ' mln These conditions are similar to those one obtains when assuming a normal distribution pf breakdown voltage. This rn value is markedly differentfrom that (rn = 3) in conventional step-up tests.

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