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Chaotic Characteristic of Corona Discharge Series in Air Described by a 2D-nonlinear Discrete Dynamic Model

Ming R., Ming D., Zhong R., Haibin Z., Aici Q.

Przegląd Elektrotechniczny

2012

R. 88, nr 11a

303-207

In order to investigate the chaos characteristics of corona discharge current pulse series in air, the statistical distributions of points (qn, ?tn+1) and points (qn, ?tn, qn+1) were plotted and compared under different experimental conditions including applied voltage value, gap distance and curvature radius of positive point, etc. To describe and study this phenomenon in view of non-linear dynamics, a 2-dimensional nonlinear discrete dynamic model was built. The equation forms and its specific coefficients of the model were obtained by fitting method. The basic dynamic characteristics including the Eigenvalue of the linear matrix- ? (Lyapunov exponent) and the attractors were calculated and analyzed. And then, the output q-t series of the model at three different modulus of Lyapunov exponent were simulated and discussed. As a conclusion, it was suggested that the randomness and statistical feasibility of corona discharge series were greatly influenced by external experiment conditions and the stochastic corona time series in limited time scope could be interpreted as a phenomenon driven by chaos.

W artykule zaprezentowano nową metodę statystycznej charakterystyki wyładowań koronowych występujących seryjnie. Opracowany został dwuwymiarowy model dynamiczny zjawiska, na podstawie którego wyznaczono i poddano analizie charakterystyki dynamiczne oraz kryteria teorii chaosu dotyczące wyładowań koronowych.