Analysis of peak characteristics in the time-domain differentiation method of the extended Debye equivalent model for oil-paper insulation
For peak coverage phenomenon in time-domain differential method for extended Debye model of transformer oil paper insulation.The paper for the first time derives the n-th derivative form of the depolarization current function and investigates the peak coverage factors of the differential method through two differential spectral lines.Calculate the ratio of the first differential spectral line at the peak point of the second differential spectral line as a measure of the influence of the first differential spectral line on the peak point of the second one.Similarly,calculate the influence of the second spectral line on the peak point of the first one.Finally,this paper verifies through simulations that the greater the relaxation contribution,the more pronounced the peak points of its sub-spectral lines,but the more likely it is that adjacent sub-spectral peaks will be overshadowed.Additionally,the higher the order of differentiation,the more distinct the peak points of the differentiated sub-spectral lines become.The findings of this study demonstrate the reasons behind the phenomenon of peak coverage,providing an initial theoretical foundation for future efforts to effectively reduce peak coverage,which accurately and reliably determine the number of extended Debye relaxation branches in transformer oil-paper insulation.
transformeroil-paper insulationextended Debye modeldepolarization currenttime domain differentiation methodpeak point coverage