复数域中晶闸管-电动机系统复杂瞬态的数值计算  

Numerical calculation of SCR-motor system complex transient in complex domain

作　　者：崔学深[1] 张自力[1] 李和明[1] 

机构地区：[1]华北电力大学电气与电子工程学院,北京102206

出　　处：《电力自动化设备》2014年第7期113-118,共6页Electric Power Automation Equipment

基　　金：国家自然科学基金资助项目(51077048);中央高校基本科研业务费专项资金资助项目(13XS06)~~

摘　　要：针对三相交流调压电路的晶闸管-电动机系统中电动机的各种复杂瞬态,提出了一种在复数域中求解电动机运行行为的数值计算方法,与传统时域数值计算相比,该方法能够充分利用电动机空间矢量模型阶数较低的优点,减少状态变量个数,有利于电动机复杂瞬态过程计算的简化。基于异步电动机的空间矢量数学模型,在复数域中推导出电动机各种复杂瞬态下的状态电压方程;以一种系统供电电源的快速切换为例,使用四阶龙格-库塔法在复数域中对所推导的状态方程进行数值计算,给出定子电流空间矢量轨迹及其对应的三相电流波形图。实测结果验证了所提复数域数值计算方法和所推导的状态方程的正确性和可行性。A numerical method is proposed to calculate the operational behavior of motor in complex domain according to its complex transients in the SCR-motor system with three-phase AC voltage regulation circuit,which,compared with the traditional numerical calculation in time-domain,makes full use of the low- order space vector model of motor to reduce the quantity of state variable and simplify the calculation of motor complex transients. Based on the mathematic space vector model of asynchronous motor,the state voltage equations of its various complex transients are deduced in complex domain. As an example,the deduced state equations are numerically calculated in complex domain with the fourth-order Runge-Kutta method for the fast power supply changeover of system to solve the trajectory of stator current space vector and the corresponding three-phase current waveform. The test results verify the correctness and feasibility of the proposed numerical calculation method and the deduced state equations.

关 键 词：晶闸管一电动机系统 瞬态 复数域 空间矢量 状态方程 计算 电动机 

分 类 号：TM346[电气工程—电机]