Nonstationary Exponential Distributions Of The Breakdown Voltages In Ramp Breakdown Experiments

Mathematics – Probability

Scientific paper

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Scientific paper

The nonstationary exponential distribution of dynamic breakdown voltages b U is derived based on the binomial distribution for the occurrence of initiating electrons. The experimental distributions in neon obtained by applying linearly rising (ramp) pulses are described by derived distribution with the voltage (time) varying electron yield Y (number of generated electrons in the interelectrode gap per second) and the breakdown probability P. It was found that the exponential form of Y(U) dependence is needed to fit the experimental data. The linear variation of Y as a first approximation of the exponential dependence is also applied to the experimental distributions, as well as Weibull distribution function for the sake of comparison.

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