单相PWM整流器H_∞混合灵敏度电流控制  

H∞ Mixed Sensitivity Current Control for Single-phase PWM Rectifier

作　　者：彭林 马磊[1] 刘浩然 宋文胜[1] PENG Lin;MA Lei;LIU Haoran;SONG Wensheng(School of Electrical Engineering,Southwest Jiaotong University,Chengdu 611756,Sichuan Province,China)

机构地区：[1]西南交通大学电气工程学院,四川省成都市611756

出　　处：《中国电机工程学报》2020年第14期4580-4589,共10页Proceedings of the CSEE

基　　金：国家自然科学基金项目(61733015,51577160)。

摘　　要：以单相电压型脉宽调制(pulse width modulation,PWM)整流器为研究对象,以提高动态响应速度、增强鲁棒性能为研究目标,提出基于dq电压前馈解耦模型下的H_∞混合灵敏度(H∞mixed sensitivity,H_∞-MS)直接电流控制(direct current control,DCC)算法。首先,给出整流器在dq坐标系下的数学模型,并基于电压前馈解耦思想得到dq轴电流解耦系统模型及闭环控制结构;然后,分析模型参数摄动情况,给出模型乘性不确定界,选择灵敏度加权函数规划系统的控制性能,选择补灵敏度加权函数保证系统的鲁棒性能,从而将控制器设计问题转化为H_∞标准控制问题;建立系统增广矩阵,求解黎卡提(Riccati)不等式的正定解,得到2个三阶控制器;最后,通过半实物仿真实验对基于比例积分(proportional integral,PI)直接电流控制算法和H_∞-MSDCC算法进行对比研究。研究结果表明,在网侧电感参数摄动时,所提H_∞-MS DCC算法可以有效地提高系统的鲁棒性。This paper addressed the robustness of single-phase voltage type pulse width modulation(PWM) rectifiers in the presence of parametric uncertainties. An H∞ mixed sensitivity(H∞-MS) direct current control(DCC) scheme was proposed. Firstly, the dq axis current decoupling model and closed-loop controller diagram were obtained base on voltage feedforward decoupling. Secondly, parameter perturbation of the model was analyzed considering the bounds of multiplicative uncertainties. A sensitivity weighting function was determined for the control performance, and the complementary sensitivity weighting function was selected for the robust performance, thus the control design was transferred to a standard H∞ control problem. Thirdly, a system augmentation matrix was established to get the positive definite solution of Riccati inequality, and two third-order controllers were obtained. Finally, hardware-in-loop was adopted to test and compare PI-based DCC and H∞-MS DCC schemes, and the results show that H∞-MS DCC schemes can effectively improve the robustness of the system when the inductance of the grid side is perturbed.

关 键 词：单相电压型脉宽调制整流器 H_∞混合灵敏度 电压前馈解耦 直接电流控制 

分 类 号：TM46[电气工程—电器]