基于μ综合理论与遗传算法的并网逆变器鲁棒控制方法  

Robust Control Method of Grid-connected Inverter Based onμ-Synthesis Theory and Genetic Algorithm

作　　者：张雨 方天治[1] 刘昊 金启源 章益凡 ZHANG Yu;FANG Tianzhi;LIU Hao;JIN Qiyuan;ZHANG Yifan(College of Automation Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,Jiangsu Province,China)

机构地区：[1]南京航空航天大学自动化学院,江苏省南京市211106

出　　处：《中国电机工程学报》2024年第12期4891-4903,I0024,共14页Proceedings of the CSEE

基　　金：国家自然科学基金项目(52077102);江苏省自然科学基金项目(BK20201299)。

摘　　要：在并网逆变器的实际运行中,电网阻抗和时间延迟系数的不确定性会影响到系统的稳定运行。为提高该含参数不确定性的系统的鲁棒性,提出采用μ综合理论来对系统进行鲁棒控制,通过对参数不确定性及其他性能约束的加权函数进行设计,从而使系统能够满足鲁棒稳定性与鲁棒性能要求。针对μ综合法设计的控制器阶数过高,难以工程实现的问题,可将其与遗传算法结合来对定结构控制器进行优化。首先采用μ综合理论搭建系统的摄动模型,然后用遗传算法对系统控制器的参数进行设计,使摄动系统能够实现结构化奇异值最小化的目标,从而达到对参数变化具有更强的鲁棒适应性的要求。实验结果表明,用该方法设计的控制器比用传统方法设计的控制器具有更好的鲁棒性。In the actual operation of a grid-connected inverter,the uncertainty of grid impedance and time delay coefficient will affect the stable operation of the system.In order to improve the robustness of the system with parameter uncertainty,μ-synthesis theory is proposed to carry out the robust control of the system.By designing the weighting functions of parameter uncertainties and other performance constraints,the system can meet the requirements of robust stability and robust performance.Aiming at the problem that the order of the controller designed byμ-synthesis theory is too high to be realized in engineering,it can be combined with genetic algorithm to optimize the fixed-structure controller.The perturbation model of the system is built based onμ-synthesis theory firstly,and then the parameters of the system controller are designed using genetic algorithm,so that the perturbation system can achieve the goal of minimizing the structure singular value,thus achieving the requirements of stronger robustness and adaptability to parameter changes.The experimental results show that the controller designed by this method has better robustness than the controller designed by the traditional method.

关 键 词：并网逆变器 μ综合理论 遗传算法 鲁棒控制 

分 类 号：TM46[电气工程—电器]