同步发电机动态性能的数字机研究

 本文采用P变换阵将同步发电机的时变动态方程,转换成所谓尸派克方程。由此建立了单台发电机的状态方程。在航空无刷交流发电机中,由于调压器的非线性作用及交流励磁机的延滞,使主同步发电机的激励函数U_F（t）可归纳为带滞后（t_E）的指数曲线(等效时间常数T_ff)。 用数字机对上述状态方程按解析法、四阶龙格库塔法、指数矩阵(e^AT)法、网络拓扑法等四种方法,分别打印出八种同步发电机动态曲线。分析了四种算法的计算精度及稳定区域,确定其应用范围,并得出一定的结论。

COMPUTER RESEARCH ON DYNAMIC CHARACTERISTICS OF A SYNCHRO GENERATOR

A P-transform matrix is applied to transforming the time-varying dynamic equations of a synchro generator into so-called P Park's equations, in result the state equations of one unit generator system are established. Owing to the nonlinear effect of the voltage regulator and the lagging of the a. c. exciter in an aircraft brushless a. c. generator, the forcing function of the main synchro generator UF（ t ） can be reduced to an exponential curve with a lagging tE and an equivalent time constant Tff.On the basis of the state equations above mentioned eight dynamic characteristics of the synchro generator are printed out separately on an electronic digital computer by four different methods: analysis; fourth-order Rungo-Ku-tta algorithm; exponential matrix （eAT）; and network topology. The computation accuracy and the stability region of these four methods are analyzed and their applicable range is established in conformity with their advantages. Then the following conclusions are drawn:1. The characteristic roots of the coefficient matrix at no-load sudden short circuit are the dynamic parameters of the synchro generator, i.e. Ta, Td", Tg", Td'.2. In symmetrical operation the synchro generator can be simplified as an one -order inertial link.3. The dynamic characteristics of the a. c. exciter （tE, Tff） have rather little effect on the maximum surge current of the synchro generator at sudden short circuit.4. In consideration of the non-linearity of the magnetic circuit in the synchro generator, it is verified that the inductor flux ψL and the capacitor charges qc are more suitable than iL and Uc to be taken as the state variables.