多转子振动系统自同步能量关系及其稳定性

建立多激振器振动系统模型,分析得出激振器同步及其稳定性条件。考虑相关因素,利用平均积分法,讨论了多激振器振动系统实现自同步的条件;利用Lyapunov法,得出振动系统工作时的稳定性判据。多转子振动系统自同步过程中,是对输入的能量进行了重新分配,若转子超前或滞后,振动力矩作为相应的负载或驱动力加载到其转子电机上。该结论对自同步机的研究和设计有一定的指导意义。

Self-synchronous Analysis of Vibrating System with Multi-exciters

The model of vibrating system with multi-exciters is established, in which relative parameters are taken into consideration. The results show that the system would maintain self-synchronous for the synchronous equation set has real solution. the system would be stable for all the roots of the stability equation, which is the Jacobi matrix of the synchronous equation set, have negative real parts. In fact, the self-synchronization of the system does not change the total energy balance in the system, and only redistributes the input energy. When the rotor of one exciter is ahead or lag, the vibrating torque acting on the rotor which generated by the system plays as an additional load or driving moment for the motor of the rotor. This conclusion has certain guiding significance to the design and research of the self-synchronous machine.