H_∞控制方法在中频逆变器中的应用
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摘要
400 Hz中频逆变器和工频(50 Hz)逆变器相比,在1个周期内的采样点少了8倍,控制精度大大降低,系统静差很难消除。为了实现系统的无静差跟踪以及克服不确定参数对系统性能的影响,在建立单相静止中频电源数学模型的基础上,把负载和线路电缆参数作为不确定因素,基于H_∞混合灵敏度方法设计了一个鲁棒控制器,并搭建了1台10 k W的试验样机。通过Matlab软件和样机分别对系统进行了仿真和相关实验,仿真和实验结果表明:所设计的鲁棒控制器仅采用1个电压环就能够使系统有很好的动静态性和鲁棒性能,稳态电压在114.5~115.5V之间,动态恢复时间<10 ms,并且完全能够抑制线路电缆不确定的影响。
In a period of sampling points, 400 Hz medium frequency inverter is 8 times less than inverters of 50 Hz, greatly reducing the control accuracy and difficultly eliminating the static error. In order to realize the system's static error tracking and to overcome the influence of uncertain parameters on the performance of the system, we take the load and cable parameters acting as uncertain factors on the foundation of mathematical model of single phase static frequency power supply, and design the robust controller and 10 k W test prototype based on the principle of H_∞ mixed sensitivity method. The simulation and experiments are carried out by Matlab software and the simulation and experiment results show that the designed robust controller can make the system have good dynamic and static performance and robust performance. The steady state voltage is between 114.5 V and 115.5 V, and the dynamic recovery time is less than 10 ms, which shows the designed robust controller can completely suppress the influence of the line cable's uncertainty.
In a period of sampling points, 400 Hz medium frequency inverter is 8 times less than inverters of 50 Hz, greatly reducing the control accuracy and difficultly eliminating the static error. In order to realize the system's static error tracking and to overcome the influence of uncertain parameters on the performance of the system, we take the load and cable parameters acting as uncertain factors on the foundation of mathematical model of single phase static frequency power supply, and design the robust controller and 10 k W test prototype based on the principle of H_∞ mixed sensitivity method. The simulation and experiments are carried out by Matlab software and the simulation and experiment results show that the designed robust controller can make the system have good dynamic and static performance and robust performance. The steady state voltage is between 114.5 V and 115.5 V, and the dynamic recovery time is less than 10 ms, which shows the designed robust controller can completely suppress the influence of the line cable's uncertainty.
引文
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[2]赵众,王平.400 Hz中频电源复合控制策略研究[J].电力电子技术,2006,40(3):70-73.ZHAO Zhong,WANG Ping.Research on a hybrid control for 400 Hz medium frequency power supply[J].Power Electronics,2006,40(3):70-73.
[3]黄沁.中频电源波形控制策略研究[D].北京:中国科学院研究生院,2004.HUANG Qin.Research on the control strategy of the intermediate frequency power supply[D].Beijing,China:Graduate University of Chinese Academy of Sciences,2004.
[4]刁元均,邹滨.基于复合控制的中频逆变电源研究流控制[J].电力自动化设备,2007,27(7):66-68.DIAO Yuanjun,ZOU Bin.Hybrid control of medium frequency inverter[J].Electric Power Automation Equipment,2007,27(7):66-68.
[5]王文杰.单相中频逆变器数字控制及其并联研究[D].杭州:浙江大学,2013.WANG Wenjie.Research on digital control and parallel technology for single phase middel frequency inverter[D].Hangzhou,China:Zhejiang University,2013.
[6]龙江涛.三相T型三电平逆变器及其并联研究[D].杭州:浙江大学,2015.LONG Jiangtao.Research on three-phase three-level T type mid-frequency inverter and its parallel control[D].Hangzhou,China:Zhejiang University,2015.
[7]张显库,贾欣乐.一种简化的H?控制混合灵敏度算法[J].控制理论与应用,2001,18(2):307-314.ZHANG Xianku,JIA Xinle.Simplified H?mixed sensitivity algorithm[J].Control Theory&Application,2001,18(2):307-314.
[8]Ortega M G,Rubio F R.Systematic design of weighting matrices for the H?mixed sensitivity problem[J].Process Control,2004,14(2):89-98.
[9]Yi P,Yuan R,Long W,et al.Research for the clamping force control of pneumatic manipulator based on the mixed sensitivity method[J].Procedia Engineering,2012,14(2):89-98.
[10]Ninoslav H,Tomislav C,Igor K.Adaptive-control for evaluation of flexibility benefits in microgrid systems[J].IEEE Transactions on Power Electronic,2015,32(5):1-18.
[11]董亮.无信息交互逆变器并联系统的控制技术研究[D].杭州:浙江大学,2011.DONG Liang.Research on control technique system for inverter parallel without interconnection[D].Hangzhou,China:Zhejiang University,2011.
[12]王广雄,袁欣.H?设计:两块还是三块问题[J].电机与控制学报,2001,2(5):81-84.WANG Guangxiong,YUAN Xin.H?control:2-block or 3-block problems[J].Electric Machine and Control,2001,2(5):81-84.
[13]陈金元,李相俊,谢巍.基于H?混合灵敏度的微电网频率控制[J].电网技术,2014,38(9):2309-2403.CHEN Jinyuan,LI Xiangjun,XIE Wei.Microgrid frequency control based on H?mixed sensitivity[J].Power System Technology,2014,38(9):2309-2403.
[14]耿佳.基于H?混合灵敏度算法的电动助力转向控制系统的研究[D].秦皇岛:燕山大学,2012.GENG Jia.Study on control of electric power steering system base on mixed senxitivity algorithm[D].Qinhuangdao,China:Yanshan University,2012.