Abstract
Statistical distributions (exponential and Pareto) of DC partial microdischarges running within sandwich electrode systems are discussed from the viewpoint of a normalisation procedure which may influence some features of the final distribution.
Highlights
IntroductionWhen studying the statistics of partial microdischarges within sandwicir eLctrode systems loading by dc voltages in excess of Paschen breakdown values, highly asymmetric distributions can be encountered tll-t4l in both time and height domains
The Pareto distribution can be normalised in a standard, when the used interval (Ul' U2) does not possesses zero point, i.e. Ul > O
When plotting both the distributions, i.e. exponentia! and Pareto, in logarithmic co-ordinates, normalisation procedure causes a certain shift of their graphs in the vertical direction, while their shapes and asymmetricities remain unchanged
Summary
When studying the statistics of partial microdischarges within sandwicir eLctrode systems loading by dc voltages in excess of Paschen breakdown values, highly asymmetric distributions can be encountered tll-t4l in both time and height domains. I.e. the densities of probability u-(l) of time intervals , between microdischarge pulses, follow an exponential distribution. Some problems may arise when normalised forms of these highly asymmetric distributions should be used, especially-. After normalisation the graph of the exPonential distribution function plotted in a semilogarithmic system will conserve its shape (stiaight line), but it will shift its position in the vertical direction by a constant value ln S. There is no need to look for the value of S, to obtain a normalisation form (5), since the normalisation constant blS =a is an invariant appearing in the argument of unnormalised function (+). Which enables us straightforwardly to determine the corresponding normalised exponential distribution
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