单相PWM整流器H_(∞)回路成形鲁棒直接电流控制  

H_(∞)Loop Shaping Robust Direct Current Control for Single-phase PWM Rectifier

作　　者：刘浩然 马磊[1] 彭林 宋文胜[1] LIU Haoran;MA Lei;PENG Lin;SONG Wensheng(School of Electrical Engineering,Southwest Jiaotong University,Chengdu 610031,Sichuan Province,China;Sichuan Engineering Technical College,Deyang 618000,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610031 [2]四川工程职业技术学院,四川省德阳市618000

出　　处：《电网技术》2021年第4期1429-1437,共9页Power System Technology

基　　金：国家自然科学基金重点项目(61733015);国家重点研发计划项目(2017YFB1200900)。

摘　　要：网侧等效电感参数摄动是单相脉冲宽度调制(pulse width modulation,PWM)整流器系统模型不确定性的显著表征,这一特性易降低整流器系统的鲁棒性。为降低因测量误差、运行工况变化等导致的模型参数摄动对控制系统鲁棒性的影响,提出基于鲁棒控制理论的H_(∞)回路成形鲁棒直接电流(H_(∞)loop shaping robust direct current,H_(∞)-LS RDC)控制策略。选取适当的补偿器串联在电流环前后,构造出期望的开环传递函数。在此基础上,对期望受控对象进行正规化互质因式分解,进一步将H_(∞)回路成形设计归结为针对互质因式摄动模型的H_(∞)鲁棒控制问题。提出根据电流高次谐波特性选取补偿器的依据,并利用Riccati方程求解H_(∞)回路成形控制器,所得鲁棒稳定裕度满足良好鲁棒性设计要求。通过半实物实验平台,开展所提控制策略与直轴交轴(direct-axis quadrature-axis,DQ)电流解耦控制策略的实验对比研究,研究结果表明:该H_(∞)-LS RDC控制策略能有效增强单相PWM整流器系统在网侧电感参数摄动情况下的鲁棒性。The grid-side equivalent inductance parameter perturbation is a significant feature of the uncertainty in the single-phase pulse-width modulation rectifiers systemwhich tends to reduce the robustness of the rectifier system. An H_(∞) loop shaping robust direct current(H_(∞)-LS RDC) control strategy based on robust control theory was proposed in this paper, which helps to reduce the influence of the model parameter perturbation caused by a measurement error or an operation condition change on the robustness of the control system. First, suitable compensators were connected in series before and after the current loop to construct the desired open-loop transfer function. On this basis, the normalized coprime factor decomposition was then used on the desired controlled objects, and the H_(∞) loop shaping design is further attributed to the problem of H_(∞) robust control problem for the coprime factor perturbation model. The basis of selecting compensators according to the characteristics of current high-order harmonics was finally put forward, and the Riccati equation was used to solve the H_(∞) loop shaping controller. The robust stability margin can well meet the design requirements. The hardware-in-loop system was adopted to verify the proposed algorithm via comparison with the direct-axis quadrature-axis current decoupling control strategy, and the results show that the H_(∞)-LS RDC control strategy can efficaciously enhance the robustness of single-phase PWM rectifier system under the grid-side inductance parameters perturbation.

关 键 词：单相PWM整流器 H_(∞)回路成形 互质因式分解 鲁棒性 直接电流控制 

分 类 号：TM721[电气工程—电力系统及自动化]