中国物理B ›› 2009, Vol. 18 ›› Issue (5): 1787-1791.doi: 10.1088/1674-1056/18/5/012

• GENERAL • 上一篇    下一篇

Analysis of ferroresonance in neutral grounding system with nonlinear core loss

惠萌, 张彦斌, 刘崇新   

  1. School of Electrical Engineering, Xi'an Jiao Tong University, Xi'an 710049, China
  • 收稿日期:2008-11-07 修回日期:2008-11-18 出版日期:2009-05-20 发布日期:2009-05-20

Analysis of ferroresonance in neutral grounding system with nonlinear core loss

Hui Meng(惠萌), Zhang Yan-Bin(张彦斌), and Liu Chong-Xin(刘崇新)   

  1. School of Electrical Engineering, Xi'an Jiao Tong University, Xi'an 710049, China
  • Received:2008-11-07 Revised:2008-11-18 Online:2009-05-20 Published:2009-05-20

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摘要： The chaotic behaviour exhibited by a typical ferroresonant circuit in a neutral grounding system is investigated in this paper. In most earlier ferroresonance studies the core loss of the power transformer was neglected or represented by a linear resistance. However, this is not always true. In this paper the core loss of the power transformer is modelled by a third order series in voltage and the magnetization characteristics of the transformer are modelled by an 11th order two-term polynomial. Extensive simulations are carried out to analyse the effect of nonlinear core loss on transformer ferroresonance. A detailed analysis of simulation results demonstrates that, with the nonlinear core loss model used, the onset of chaos appears at a larger source voltage and the transient duration is shorter.

Abstract: The chaotic behaviour exhibited by a typical ferroresonant circuit in a neutral grounding system is investigated in this paper. In most earlier ferroresonance studies the core loss of the power transformer was neglected or represented by a linear resistance. However, this is not always true. In this paper the core loss of the power transformer is modelled by a third order series in voltage and the magnetization characteristics of the transformer are modelled by an 11th order two-term polynomial. Extensive simulations are carried out to analyse the effect of nonlinear core loss on transformer ferroresonance. A detailed analysis of simulation results demonstrates that, with the nonlinear core loss model used, the onset of chaos appears at a larger source voltage and the transient duration is shorter.

Key words: ferroresonance, chaotic behaviour, nonlinear core loss

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
84.30.Jc (Power electronics; power supply circuits) 84.70.+p (High-current and high-voltage technology: power systems; power transmission lines and cables)