反向递推法在三相四桥臂逆变器控制中的应用

摘要

In order to improve the control performance of the three-phase four-leg inverter, the back-stepping design approach was proposed to apply to inverter control. For the discrete, multi-modal nonlinear systems, the mathematical model was established with the switching function and average switch period operator. By using back-stepping design approach, the virtual control variable and Lyapunov function were selected step by step, so that all inductor current and capacitor voltage variables have appropriate asymptotic features. The output tracking of the inverter for the given signals is realized. The global asymptotic stability of the system is guaranteed. The simulation results show that the system has good static and dynamic performance.%为了提高三相四桥臂逆变器非线性系统的控制性能,提出将反向递推非线性控制方法应用于此系统.针对三相四桥臂逆变器这个离散的、多模态的非线性系统,采用开关函数和开关周期平均算子建立其数学模型.应用反向递推方法逐步选择虚拟控制量和构造Lyapunov函数,使每个电感电流和电容电压状态分量具有渐近特性,实现逆变器对给定信号的输出跟踪控制,保证整个系统的全局渐近稳定性.仿真结果表明,系统具有良好的静态和动态性能.