大型发电机组机电耦联的扭振研究  

A STUDY ON TORSIONAL VIBRATION WITH MECHANICAL AND ELECTRIC COUPLING OF A LARGE GENERATOR SETS

作　　者：邱家修[1] 邱宇[2] 

机构地区：[1]郑州轻工业学院,河南郑州450052 [2]天津大学,天津300070

出　　处：《黄淮学刊（自然科学版）》1997年第2期1-7,共7页

基　　金：国家自然科学基金;机械部技术发展基金

摘　　要：采用一种新的方法建立了发电机组机电耦联振动的非线性周期系数微分方程组，寻找了一种正交交换矩阵使电流方程组化成常系数方程，再应用动量矩守恒条件得到发电机转子角位移和扭极的关系，于是得到了一个完整的机电耦联的常系数非线性微分方程组．应用它研究了发电机组。相突然短路时轴系的扭根问题，得到了有重要工程应用价值的结果．In this paper,a set of differential equations with nonlinear-periodic coefficients isderived for coupling of the mechanical and electric vibrations of the generating sets,by usinga new method. By using a orthogenal transformation matrix,the set of current equation withperiodic coefficents are transferred to the equation with constant coefficient. The relationshipon angular displacement of the generator rotor and torsional vibration are obtained by usingthe conservation with moment of momentum. Therefor a system of differential equations cou-pled with the mechanical and electric with nonlinear constent coefficient are obtained. By us-ing that mathematical model we studied the problem for torsional vibration of shaft system ofgenerator under the condition of three phase short-circuit suddenly. Some resuIts which haveimportant applications worth in enginering are obtained.

关 键 词：机电耦联 扭振 三相短路 发电机组 

分 类 号：TM310.142[电气工程—电机]