用分解—集结法研究复杂转子—轴承系统的稳定性

Study on System Stability of Complex Rotor-Bearing by Decomposition-Aggregation Method

本文探讨应用大系统稳定性理论的分解—集结法研究复杂转子—轴承系统的运动稳定性问题。与目前常采用的传统分析方法，如特征根判稳法及派生的各种稳定性判据相比，这种方法的独到之处在于其不仅能提供整个系统的稳定性信息，还能反映子系统及其复合关系对整体系统稳定性的作用及影响等信息。这是传统的整体直接处理方式较难达到的。本文举出几个实例验证了这一系统工程方法的有效性和独特性，其直接应用背景是大型汽轮发电机组轴系的稳定性问题。

This poper discusses the stability of rotor-sliding bearing systems for the first time by the decomposition-aggregation method of the stability theory of large-scale dynamic system.Compared with some traditional methods,such as eigenvalue method,the uniqueness of the approach lies in the fact that it can provide not only the stability information of the whole system, but also that of its subsystems such as the rotor and bearings,as well as the effects of these subsystems on their aggregated systems,and from the method it is made available that stability performance of the whole system can be improved by adjusting its subsystems and related interconnections.The methodology of the decomposition and aggregation of the rotor-bearing systems is explained in detail,and examples are given to show the validity of this system-engineering approach. The analytical results demonstrate that the conclusions obtained by the method are quite accordant with those from other methods and practice. The research may be possibly applied to the stability study of the shafts of large-type turbine generator sets.