发电机组转子轴系机电耦联扭振的二重共振研究

找到发电机与直流电动机的气隙磁场能量表达式,应用拉格朗日—麦克思韦方程建立了机组轴系机电耦联的非线性扭振方程组,分别得到了发电机及直流电动机的电磁刚度,从理论和实验研究中发现了新的零阶固有频率,利用多尺度法对非线性扭振方程组进行了求解,得到了二重共振的规律,利用实验室的发电机组模型进行了实验研究,所取得的实验曲线和相应的理论曲线,不论在定性和定量上均有很好的吻合。

A Study on Two Fold Resonance of Shaft in Coupled Mechanical and Electrical Torsional Vibration Problems of Generating Set

Expressions of energy in air-gap field of generator and DC motor were obtained.By applying the Lagrange-Maxiwell equations,the nonlinear mechanical-electrical coupling equations of generator (motor) set was established and the electro-magnetic stiffness of generator and DC motor was obtained.A new zero-order natural frequency was found both in theory and in experiment.Through solving the solution of nonlinear equations by using multi-scale method,rules of two fold resonance were acquired.Experiment with generator set in laboratory was done and the experimental curves were obtained.The result shows that experimental curves are coincidental with the theoretical curves both in qualitative analysis and in quantitative analysis.