1. Application of Kramers-Kronig Function in Analyzing Frequency Domain Dielectric Response of Oil-paper
- Author
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Boning Yu, Yizhuo Hu, Jiacheng Xie, Kaige Yang, and Ming Dong
- Subjects
010302 applied physics ,Permittivity ,Physics ,Kramers–Kronig relations ,Mathematical analysis ,02 engineering and technology ,Function (mathematics) ,Dielectric ,Low frequency ,021001 nanoscience & nanotechnology ,01 natural sciences ,Range (mathematics) ,Frequency domain ,0103 physical sciences ,Relaxation (physics) ,0210 nano-technology - Abstract
Kramers-Kronig function is treated as a universal relationship between the real and imaginary parts of a frequency domain response system. The present study aims at establishing this relationship’s specific implementation strategy in the field of frequency domain spectroscopy which is a promising insulation condition assessment method for power equipment. To achieve this, the physical meaning of dielectric material’s complex permittivity spectrum is discussed first, based on which Kramers-Kronig function’s role in the data processing is made clear. Further, the present study deduces a simplified formula from Kramers-Kronig function’s original form that is capable for oil-paper’s frequency domain spectrum data analysis. On this basis, an analysis model of real part and imaginary part of complex permittivity based on Kramers-Kronig relationship is established, and the mechanism analysis in the testing band is obtained. The result shows that a relaxation loss peak co-exists with AC conduction process in the low frequency range of oil-paper insulation’s frequency domain spectroscopy. Weight of each dielectric process is compared as well.
- Published
- 2020