三维状态变量可视化及其在逆变器设计中的应用

Visualization Techniques of 3-D State Variables and Its Application in Inverter Design

为改进基于非对称T型低通滤波器的电压源逆变器的设计,提出一种三维状态变量的时域可视化方法。首先用状态矩阵推出状态转移方程,然后将脉宽调制(pulse width modulation,PWM)波的频谱表达式代入,借助Matlab画出三维空间的状态轨迹及其平面投影。介绍通过正负反馈来抑制系统极点变化的控制策略,以空载时控制对象来设计基于内部模型原理的电压调节器的方法。提供三维状态空间轨迹、程序框图和实验结果。该方法可供有3个状态变量的控制系统设计时参考。

In order to improve the design method of nonsymmetry T-network low pass filer in voltage source inverter, 3-D state trajectory visualization method incorporating time domain simulation was proposed. The state transition matrix was derived according to the state matrix, and pulse width modulation （PWM） wave expression was substituted into the state transition equation. The 3-D state trajectory and the corresponding projection were shown by Matlab. Positive and negative feedback control strategies were used to restrain the change of system poles. A simple method, for which the treated control plant without a load is used to design a regulator, was presented. 3-D state trajectory visualization, flow chart and experiment results were offered. This method could be extended to control system design with three states.