应用传递矩阵-参数匹配法计算转子固有频率和灵敏度  

APPLICATION OF THE TRANSFER MATRIX-PARAMETER MATCHING METHOD ON THE CALCULATION OF ROTOR CRITICAL SPEEDS AND ITS SENSITIVITY

作　　者：杨建刚[1] 高亹[1] 

机构地区：[1]东南大学火电机组振动国家工程研究中心,江苏南京210096

出　　处：《中国电机工程学报》2001年第10期15-19,共5页Proceedings of the CSEE

基　　金：国家自然科学基金资助项目 ( 5 0 0 0 5 0 0 4) ;国家重点基础研究发展规划项目 (G199980 2 0 30 0 )~~

摘　　要：传递矩阵方法是目前应用广泛的一种转子动力特性计算分析方法。但是当节点数较多或者求解高阶振型时 ,该方法容易出现数值溢出、振型畸变等异常现象 ,计算结果误差较大。该文提出了一种基于传递矩阵和参数匹配相融合的改进传递矩阵方法。新方法将转子系统分成多个子系统 ,对各子系统建立传递矩阵模型 ,然后利用各子系统在结合面处参数匹配条件建立系统特征方程 ,进而求解出系统特征值。这种方法克服了传统传递矩阵方法的缺点 ,可以非常方便地用来分析多跨或多转子系统振动特性。该文同时给出了固有频率对转子系统参数变化灵敏度的计算方法。实例表明该方法计算精度与Riccatti方法相当。The transfer matrix method (TMM) is a widely used method today on the analysis of rotor dynamics. But there are disadvantages of traditional TMM. A new method based on the fusion of TMM and parameter matching (PM) is proposed in this paper. The total system is decomposed to multiple subsystems firstly. Then the transfer matrix is established for each subsystem. The parameter marching principle between units is used to form the eigenvalue equation. The disadvantages as data over flow and the distortion of higher modes are avoided. The results of the new method and the traditional TMM are compared. The method of calculating critical speeds sensitivity to rotor parameters is given. The new method can be easily used to analyze the dynamics of multi-span or multi-rotor system.Examples in the end of the paper show that the accuracy of the new method is equal to the traditional Riccatti method.

关 键 词：汽轮发电机组 传递短阵 参数匹配法 转子 固有频率 灵敏度 

分 类 号：TM311[电气工程—电机]