图腾柱PFC无静差二次型最优PID控制仿真分析

Simulation Analysis of Steady Error Free Quadratic Optimal PID Control for Totem Pole PFC

计算方法以及计算机技术的发展促进了现代控制理论的工程化。本文采用无静差二次型最优调节器(LQR)优化PID控制参数选取方法,设计了图腾柱功率因数校正器(PFC)二次型最优PID控制算法。在给出双闭环LQR优化PID控制原理后,建立了状态空间平均模型,采用MATLAB的LQR函数设计了BOOSTDC-DC变换器的双闭环PID控制算法,进而采用相同的双闭环PID控制参数设计了对等电气条件下图腾柱PFC二次型最优PID控制参数,搭建了MATLAB/Simulink仿真电路,分析结果反映了图腾柱PFC二次型最优PID控制参数优化方法是可行的。

The development of calculation method and computer technology promotes the engineering of modern control theory.In this paper,steady error free quadratic optimal PID control algorithm of totem pole power factor corrector(PFC)is designed by using the optimal PID control parameter selection method of LQR.After giving the double closed-loop LQR optimized PID control principle,the state space average model is established,the double closed-loop PID control algorithm of boost DC-DC converter is designed by using the LQR function of MATLAB,and then quadratic optimal PID control parameters of totem PFC under equivalent electrical conditions are designed by using the same double closed-loop PID control parameters,and the MATLAB/Simulink simulation circuit is built,the analysis results show that quadratic optimal PID control parameter optimization method of totem pole PFC is feasible.