基于新型预设性能控制的LC型逆变器

doi:10.3969/j.issn.0255-8297.2022.05.014

摘要/Abstract

摘要： 为了提高LC型逆变器的性能，提出了一种新型预设性能电压控制器。首先，根据电路原理和拓扑结构，建立了LC型逆变器的数学模型；其次，引入有限时间收敛性能函数以克服指数函数收敛时间慢的缺点；然后，以跟踪误差按性能函数描述的轨迹收敛为目标进行电压控制器设计；最后，针对参数不确定性和负载突变等扰动因素对逆变器输出电压的影响，为控制系统设计了扰动观测器。通过MATLAB/Simulink平台仿真实验验证了所提新型预设性能控制策略的可行性和有效性。

关键词: 预设性能, 逆变器, 双环控制, 滤波器, 扰动观测器

Abstract: In order to improve the performance of LC inverters, a novel prescribed performance voltage controller is presented in this paper. Firstly, a mathematical model is established based on circuit theory and topology. Secondly, a finite-time prescribed performance function is employed to overcome the disadvantage of slow convergence in exponential function. Thirdly, with the purpose of making the voltage tracking error converge along the desired trajectory, a voltage controller is designed. Finally, a disturbance observer is designed to reduce the effects of load or parameters changes and other disturbance factors on output voltage. Simulation results obtained with MATLAB/Simulink platform verify the feasibility and effectiveness of the proposed novel prescribed performance control strategy.

Key words: prescribed performance, inverter, dual-loop control, filter, disturbance observer

中图分类号:

TM464

施建强, 李双. 基于新型预设性能控制的LC型逆变器[J]. 应用科学学报, 2022, 40(5): 850-864.

SHI Jianqiang, LI Shuang. LC Inverter Based on Novel Prescribed Performance Control[J]. Journal of Applied Sciences, 2022, 40(5): 850-864.

参考文献

[1] 王小军, 施科研, 董德智, 等. UPS逆变器谐波抑制环的分析与设计[J]. 电源学报, 2018, 16(3):113-119. Wang X J, Shi K Y, Dong D Z, et al. Analysis and design of harmonic suppression loop in UPS inverter[J]. Journal of Power Supply, 2018, 16(3):113-119. (in Chinese)
[2] Mishra P, Maheshwari R. Design, analysis, and impacts of sinusoidal LC filter on pulsewidth modulated inverter fed-induction motor drive[J]. IEEE Transactions on Industrial Electronics, 2020, 67(4):2678-2688.
[3] 李振, 吕志鹏, 盛万兴, 等. 基于虚拟同步电机控制的固态变压器对多控制类型分布式电源接入的适应性分析[J]. 电力自动化设备, 2020, 40(9):80-90. Li Z, Lü Z P, Sheng W X, et al. Adaptability analysis of VSM controlled SST to distributed generation with multiple control types[J]. Electric Power Automation Equipment, 2020, 40(9):80-90. (in Chinese)
[4] 朱作滨, 黄绍平, 李振兴. 微电网逆变器自适应阻尼系数VSG控制策略研究[J]. 控制工程, 2021, 28(8):1628-1633. Zhu Z B, Huang S P, Li Z X. VSG control strategy with adaptive damping coefficient for micro-grid inverter[J]. Control Engineering of China, 2021, 28(8):1628-1633. (in Chinese)
[5] 王念春, 徐发喜, 程明. 基于状态空间的逆变器数字双环控制技术研究[J]. 中国电机工程学报, 2013, 33(S1):166-170. Wang N C, Xu F X, Cheng M. Study on digital dual-loop control for inverters based on the state space[J]. Proceedings of the CSEE, 2013, 33(S1):166-170. (in Chinese)
[6] 侯波, 刘俊伟, 董锋斌, 等. 基于负载电流滑模观测的逆变器滑模控制[J]. 电力电子技术, 2017, 51(1):74-77. Hou B, Liu J W, Dong F B, et al. Inverter sliding mode control based on load current sliding mode observer[J]. Power Electronics, 2017, 51(1):74-77. (in Chinese)
[7] 杨林, 曾江, 马文杰, 等. 基于改进二阶线性自抗扰技术的微网逆变器电压控制[J]. 电力系统自动化, 2019, 43(04):146-153. Yang L, Zeng J, Ma W J, et al. Voltage control of microgrid inverter based on improved second-order linear active disturbance rejection control[J]. Automation of Electric Power Systems, 2019, 43(4):146-153. (in Chinese)
[8] Yaramasu V, Rivera M, Narimani M, et al. Model predictive approach for a simple and effective load voltage control of four-leg inverter with an output LC filter[J]. IEEE Transactions on Industrial Electronics, 2014, 61(10):5259-5270.
[9] 陈子印, 林喆, 贾鹤鸣, 等. 永磁同步电机有限时间预设性能控制[J]. 控制理论与应用, 2021, 38(4):479-488. Chen Z Y, Lin Z, Jia H M, et al. Finite-time control for permanent magnet synchronous motor with prescribed performance[J]. Control Theory & Applications, 2021, 38(4):479-488. (in Chinese)
[10] Bechlioulis C P, Rovithakis G A. Robust adaptive control of feedback linearizable MIMO nonlinear systems with prescribed performance[J]. IEEE Transactions on Automatic Control, 2008, 53(9):2090-2099.
[11] 陈龙胜, 王琦. 不确定连续系统预设性能非线性PID控制[J]. 应用科学学报, 2017, 35(6):786-796. Chen L S, Wang Q. Prescribed performance nonlinear PID control for uncertain continuous systems[J]. Journal of Applied Sciences, 2017, 35(6):786-796. (in Chinese)
[12] 陈龙胜, 宁晓明. 四旋翼无人机预设性能非线性PI串级姿态控制[J]. 应用科学学报, 2019, 37(1):137-150. Chen L S, Ning X M. Nonlinear PI cascade attitude control with prescribed performance for a quadrotor UAV[J]. Journal of Applied Sciences, 2019, 37(1):137-150. (in Chinese)
[13] 赵京, 王炎, 陈雨青. 预设性能控制算法对机械臂运动控制的改进[J]. 工程科学与技术, 2020, 52(2):140-147. Zhao J, Wang Y, Chen Y Q. Improved motion control of manipulator by prescribed performance control algorithm[J]. Advanced Engineering Sciences, 2020, 52(2):140-147. (in Chinese)
[14] 张国光, 杨冲. 基于终端滑模及预设性能控制的水下航行器轨迹跟踪研究[J]. 舰船科学技术, 2020, 42(23):92-96. Zhang G G, Yang C. The research of AUV tracking control based on prescribed performance control combined with terminal sliding mode[J]. Ship Science and Technology, 2020, 42(23):92-96. (in Chinese)
[15] 林巍, 王亚刚. 串级控制系统闭环辨识及PID参数整定[J]. 控制工程, 2018, 25(1):11-18. Lin W, Wang Y G. Modeling for cascade control systems based on frequency domain and PID parameter tuning[J]. Control Engineering of China, 2018, 25(1):11-18. (in Chinese)
[16] 许德智, 张威, 杨玮林, 等. 基于预设性能的船舶直流微电网终端滑模反推控制[J]. 控制理论与应用, 2021, 38(6):697-706. Xu D Z, Zhang W, Yang W L, et al. Terminal sliding mode backstepping control for ship direct current microgrid based on prescribed performance[J]. Control Theory & Applications, 2021, 38(6):697-706. (in Chinese)
[17] Bechlioulis C P, Rovithakis G A. Prescribed performance adaptive control for multi-input multi-output affine in the control nonlinear systems[J]. IEEE Transactions on Automatic Control, 2010, 55(5):1220-1226.
[18] 胡寿松. 自动控制原理[M]. 7版. 北京:科学出版社, 2019.
[19] 李云钢, 柯朝雄, 程虎. 磁浮列车悬浮控制器的电流环分析与优化设计[J]. 国防科技大学学报, 2006, 28(1):94-97. Li Y G, Ke Z X, Cheng H. Analyzing and optimizing design of current-loop in the magnetic levitation controller on maglev vehicle[J]. Journal of National University of Defense Technology, 2006, 28(1):94-97. (in Chinese)