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Lagrange-Maxwell equation and magnetic saturation parametric resonance of generator set

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Abstract

Lagrange-Maxwell’s equation is extended firstly. With the theory of electromechanical analytical dynamics, the magnetic complement energy in air gap of generator is acquired. The torsional vibration differential equations with periodic coefficients of rotor shafting of generator which is in the state of magnetic saturation are established. It is shown that the magnetic saturation may cause double frequency electromagnetic moment. By means of the averaging method, the first approximate solution and corresponding solution of the primary parametric resonance is obtained. The characteristics and laws of the primary parametric resonance excited by the electromagnetism are analyzed and some of new phenomena are revealed.

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References

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Authors and Affiliations

  1. Key Lab of Structural and Vibration Engineering of Tangshan, Tangshan College, Tangshan, 063000, Hebei Province, P. R. China

    Yang Zhi-an  (杨志安) & Xi Xiao-yan  (席晓燕)

  2. Library of Tianjin University, Tianjin University, Tianjin, 300072, P. R. China

    Li Wen-lan  (李文兰)

  3. School of Mechanical Engineering, Tianjin University, Tianjin, 300072, P. R. China

    Qiu Jia-jun  (邱家俊)

Authors
  1. Yang Zhi-an  (杨志安)
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  2. Li Wen-lan  (李文兰)
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  3. Qiu Jia-jun  (邱家俊)
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  4. Xi Xiao-yan  (席晓燕)
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Corresponding author

Correspondence to Yang Zhi-an  (杨志安).

Additional information

Communicated by WANG Biao

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Yang, Za., Li, Wl., Qiu, Jj. et al. Lagrange-Maxwell equation and magnetic saturation parametric resonance of generator set. Appl. Math. Mech.-Engl. Ed. 28, 1545–1553 (2007). https://doi.org/10.1007/s10483-007-1114-y

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  • DOI: https://doi.org/10.1007/s10483-007-1114-y

Key words

Chinese Library Classification

2000 Mathematics Subject Classification

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