YANG Zhi-an, LI Wen-lan, QIU Jia-jun, XI Xiao-yan. Lagrange-Maxwell Equation and Magnetic Saturation Parametric Resonance of Generator Set[J]. Applied Mathematics and Mechanics, 2007, 28(11): 1379-1386.
 Citation: YANG Zhi-an, LI Wen-lan, QIU Jia-jun, XI Xiao-yan. Lagrange-Maxwell Equation and Magnetic Saturation Parametric Resonance of Generator Set[J]. Applied Mathematics and Mechanics, 2007, 28(11): 1379-1386.

# Lagrange-Maxwell Equation and Magnetic Saturation Parametric Resonance of Generator Set

• Rev Recd Date: 2007-08-08
• Publish Date: 2007-11-15
• Lagrange-Maxwell's equation was extended firstly. With the theory of electromechanical analytical dynamics, the magnetic complement energy in air gap of generator was acquired. The torsional viration differential equations with periodic coefficients of rotor shafting of generator that is in the state of magnetic saturation were 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 was obtained. The characteristics and laws of the primary parametric resonance excited by the electromagnetism were analyzed and some of new phenomena were revealed.
•  [1] 邱家俊，杨志安.考虑发电机磁饱和特性时转子轴系的弯扭耦合振动[J].黄淮学刊自然科学版，1995，11（2）:1-7.[JP3]. 杨志安，邱家俊，李文兰.发电机转子气隙磁非线性耦合振动分析[J].工程学报，2000，13（2）：170-177. [3] 钱伟长. 各项异性的非线性静磁场的磁能原理、余能原理，以及有关的广义变分原理[J].上海工业大学学报，1984，7（3）：1-4. [4] 邱家俊. 机电分析动力学[M].北京：科学出版社，1992. [5] 杨志安.发电机组轴系扭振及电磁激发横、扭耦合振动研究[D].博士学位论文.天津: 天津大学，1997.

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