## 异步电机的数学建模及MATLAB仿真研究

Matlab/Simulink AbstractAsynchronous motor is a nonlinear, strong coupling, multivariablecomprehensive system, these characteristics lead it difficult to realize thehigh performance speed governing. Want to improve the performance ofspeed adjustment, to get good control effect, it should be based on thedynamic model, effectively control the flux linkage and torque, in orderto gain high performance speed control scheme.This paper starts from the original dynamic mathematical model ofasynchronous motor, because the original model is very complex,analysis and solving system of equations is very difficult, therefore, itmust be through the coordinate transformation can apply to practice.Then start to analysis and study of three-phase asynchronous motormodel to two phase model of coordinate transform and stationary phasecoordinate system to the rotating coordinate system transformation. Thenanalyze and study vector control system and direct torque control systemof asynchronous motor, and finally use Simulink library，one of the maintoolbox in Matlab ，to set up simulation modules of the two systems. 源-自*六'维:论.文]网[www.lwfree.cn
Keywords: asynchronous motor coordinate transformationvector control direct torque control Matlab/Simulink

AbstractⅡ
1绪论...1
1.1本论文的主要工作...1
1.2课题的目的与意义...1
1.3国内外研究现状...2
2异步电动机原理简介及三相数学模型..3
2.1异步电动机原理简介...3
2.2异步电动机的三相数学模型...3
2.2.1异步电动机三相动态模型的数学方程4
3坐标变换..9
3.1坐标变换的思路...9
3.2三相-到两相变换（3/2变换）11
3.3静止两相-旋转正交变换（2s/2r变换）12
4异步电动机在正交坐标系上的动态数学模型和状态方程..14
4.1静止两相正交坐标系中的动态数学模型.14
4.2旋转正交坐标系中的动态数学模型.16
4.3异步电动机在正交坐标系上的状态方程.18
4.3.1以ω-is-ψr为状态变量的状态方程...18
4.3.2以ω-is-ψs为状态变量的状态方程..21
5异步电动机两种高性能调速控制系统分析与建模24
5.1按转子磁链定向的矢量控制系统.24
5.1.1mt坐标系中的状态方程.24
5.1.2按转子磁链定向矢量控制的基本思想..25
5.1.3电流闭环控制下的矢量控制系统..27
5.2按定子磁链控制的直接转矩控制系统.27
5.2.1定子电压矢量的控制作用..27
5.2.2基于定子磁链控制的直接转矩控制系统..31