交流电机由电磁力激发的参、强联合共振

ON THE COMBINED PARAMETRIC AND FORCED RESONAN CES IN AN ALTERNATING CURRENT MACHINE EXCITED BY ELECTROMAGNETIC FORCES

本文建立了电机转子振动方程和电机稳态电路方程相耦合的统一数学系统,求得了这一系统的方程的解析解,找到了联合共振的幅频曲线,理论结果和实验结果吻合得很好. 采用被实验证实的数学模型,研究了各种参数对这种共振的影响,得到了别人没有研究过的规律,探索了消除这种共振的途径. 研究结果对大型汽轮发电机组的机、电耦合振有实际指导价值.

In this paper, the unified mathematical system is suggested for coupling the rotor vibration equations and the steady-state circuit equation. An analytical solution is derived, and amplitude curves of the combined resonances are obtained. The theoretical results have shown in good agreement with the experimental results.The mathematical model which has been verified by the experiment is used to analyse the effect of each parameter on the combined resonance and to seek ways to eliminate it. Some useful results are obtained, which have important applications in analysing the coupled mechanical and electrical vibrations of high-output turbogenerators.