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油纸绝缘扩展德拜等效模型时域微分法峰值特性分析

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针对变压器油纸绝缘扩展德拜模型时域微分法存在的峰值覆盖现象,导致无法准确判断模型弛豫支路数,首先推导出去极化电流函数的n次微分形式,并通过两条微分子谱线研究微分法峰值覆盖因素;然后计算前一条微分谱线在后一条微分谱线峰值点的比例,作为微分子谱线一对微分子谱线二峰值点影响程度,同理计算谱线二对谱线一峰值点影响程度;接着研究弛豫贡献度与微分次数对微分谱线峰值覆盖的影响;最后通过仿真验证了弛豫贡献度越大,其子谱线峰值点越明显,相邻两个子谱线峰值点越容易被其覆盖,微分次数越高,各微分子谱线峰值点越明显.研究结果论证了峰值覆盖现象存在的原因,为后续有效降低峰值覆盖现象、准确可靠地判断变压器油纸绝缘扩展德拜弛豫支路数提供理论基础.
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

汪洋洋、宋福根、刘庆珍

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福州大学电气工程与自动化学院,福建省新能源发电与电能变换重点实验室,福建 福州 350108

变压器 油纸绝缘 扩展德拜模型 去极化电流 时域微分法 峰值点覆盖

2025

电气应用
机械工业信息研究院

电气应用

影响因子:0.341
ISSN:1672-9560
年,卷(期):2025.44(1)