Abstract:With only a single voltage time series recorded in fact,for accurately identifying the ferroresonance types,the delay coordinates method was applied to obtain the reconstructed phase space that is topologically equivalent to the phase space of the original system.Nonlinear dynamics methods based on the reconstructed phase space,e.g.phase plane,Poincaré section and correlation dimension,were used to express the dynamic characteristics of the time series and identify the type of ferroresonance based on them.The nonlinear dynamic characteristics analysis was conducted to 3 typical cases of measured time series of ferroresonance occurred in inductive voltage transformer in isolated neutral system.The phase plane trajectories and Poincaré sections of two time series cases of them show periodic motion characteristics,their correlation dimension estimation values respectively are 1.015 0±0.003 9,1.006 1±0.000 6;therefore their motion modes were identified as fundamental mode and subharmonic mode.The phase plane trajectory and Poincaré section of another time series case do not show periodic or quasiperiodic motion characteristics,its correlation dimension estimation value is 2.300 2±0.061 2;therefore its motion mode was identified as chaotic mode.The measured voltage time series is affected by many factors,the identification result of ferroresonance mode occurred is more accurate and convictive through synthesizing the features characterized by the above 3 analysis methods.
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