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Finite Element Analysis for Dielectric Liquid Discharge under Lightning Impulse Considering Two-Phase Flow

절연유체 내 2상유동을 고려한 뇌임펄스 응답 유한요소해석

  • 이호영 (경북대학교 전자전기컴퓨터학부) ;
  • 이종철 (강릉원주대학교) ;
  • 장용무 (한양대학교 퓨전전기응용연구센터) ;
  • 이세희 (경북대학교 IT대학 전기공학과)
  • Received : 2011.10.05
  • Accepted : 2011.10.19
  • Published : 2011.11.01

Abstract

Discharge analysis technique for dielectric liquid was presented by using the Finite Element Analysis (FEA) under a lightning impulse incorporating two-phase flow phenomena which described gas and liquid phases in discharge space. Until now, the response of step voltage has been extensively explored, but that of lightning impulse voltage was rarely viewed in the literature. We, therefore, developed an analyzing technique for dielectric liquid in a tip-sphere electrode stressed by a high electric field. To capture the bubble phase, the Heaviside function was introduced mathematically and the material functions for the ionization, dissociation, recombination, and attachment were defined in liquid and bubble, respectively. By using this numerical setup, the molecular dissociation and ionization mechanisms were tested under low and high electric fields resulted from the lightning impulse voltage of 1.2/50 ${\mu}s$. To verify our numerical results, the velocity of electric field wave was measured and compared to the previous experimental results which can be viewed in many papers. Those results had good agreement with each other.

Keywords

References

  1. Markus Zahn, "Solid, Liquid, and Gaseous Electrical Insulation," Encyclopedia of Applied Physics, VCH Publishers, American Institute of Physics, Vol. 18, pp. 431-466, 1997.
  2. F. M. O'Sullivan, "A Model for the Initiation and Propagation of Electrical Streamers in Transformer Oil and Transformer Oil Based Nanofluids," Ph.D. dissertation, Massachusetts Institute of Technology, Cambridge, MA, USA, 2007.
  3. F. M. Meek and J. D. Graggs, "Electrical Breakdown of Gases," John Willey & Sons, New York, 1978.
  4. G. Massala, O. Lesaint, et. al., "Positive Streamer Propagation in Large Oil Gaps: Electrical Properties of Streamers," IEEE Trans. Diel. Elec. Insul., Vol. 5, No. 3, June 1998.
  5. O. Lesaint and T. V. Top, "Streamer Initiation in Mineral Oil: Electrode Surface Effect under Impulse Voltage," IEEE Trans. Diel. Elec. Insul., Vol. 9, No. 1, February 2002.
  6. H. Y. Lee, S. H. Lee, "Hydrodynamic Modeling for Discharge analysis in Dielectric Medium with the Finite Element Method under Lightning Impulse," JEET, Vol. 6, No. 3, pp. 397-401, 2011.
  7. J. G. Hwang, F. O'Sullivan, M. Zahn, et al., "Modeling of Streamer Propagation in Transformer Oil-Based Nanofluids." Annual Report Conference on Electrical Insulation and Dielectric Phenomena, pp. 361-366, 2008.
  8. L. Onsager, "Deviations from Ohm's Law in Weak Electrolytes," J. Chem. Phys., Vol. 2, pp. 599-615, 1934. https://doi.org/10.1063/1.1749541
  9. IEC standard #60897, Methods for the Determination of the Lightning Impulse Breakdown Voltage of Insulating Liquids, 1987.
  10. V. Segal et. al., "AC(60Hz) and Impulse Breakdown Strength of a Colloidal Fluid Based on Transformer Oil and Magnetite Nanoparticles," IEEE Int. Symp. Elec. Insul., Arlington, Virginia, USA, June 1998.