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

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.