基于LMI的直流微电网分布式鲁棒H∞控制

doi:10.19912/j.0254-0096.tynxb.2020-0924

太阳能学报 ›› 2022, Vol. 43 ›› Issue (5): 45-52.DOI: 10.19912/j.0254-0096.tynxb.2020-0924

基于LMI的直流微电网分布式鲁棒H∞控制

王晓兰^1,2, 王科祖^1,2

1.兰州理工大学电气工程与信息工程学院,兰州 730050;
2.甘肃省工业过程先进控制重点实验室,兰州 730050

收稿日期:2020-09-05 出版日期:2022-05-28 发布日期:2022-11-28
通讯作者: 王晓兰（1963—）,女,硕士、教授、博士生导师,主要从事复杂系统建模与控制、新能源发电系统控制等方面的研究。wangzt@lut.cn
基金资助:
国家自然科学基金（61963024）

DISTRIBUTED ROBUST H∞CONTROL IN DC MICROGRID BASED ON LINEAR MATRIX INEQUALIITIES

Wang Xiaolan^1,2, Wang Kezu^1,2

1. College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou 730050, China;
2. Key Laboratory of Gansu Advanced Control for Industrial Processes, Lanzhou 730050, China

Received:2020-09-05 Online:2022-05-28 Published:2022-11-28

摘要/Abstract

摘要： 针对直流微电网中分布式发电单元（DGU）投入或退出引起的结构不确定性,采用分布式鲁棒H∞控制,使微电网电压稳定。采用区域极点配置约束控制器参数,使闭环系统的极点落在区域D中。通过线性矩阵不等式的H∞优化求解,得到鲁棒H∞-γD控制器。控制器的设计仅需DGU和与之连接的线路参数,而无需整个微电网参数。给每个DGU分别配置相应的控制器,嵌入DGU中,可以实现分布式控制。仿真结果表明,该控制方法有较好的鲁棒性。

关键词: 直流微电网, 鲁棒控制, 分布式控制, 线性矩阵不等式, 极点配置

Abstract: Considering the structural uncertainty caused by the input or exit of the distributed generation unit in the DC microgrid, a robust H∞method is used to design the controller to ensure the voltage stability. The regional pole configuration is used to constrain the controller parameters so that the poles of the closed-loop system fall in the region D. A robustH∞-γDcontroller is obtained based on the optimization solution of linear matrix inequalities. Its design only needs the DGU and the line parameters, but not the entire microgrid. Each DGU is configured with a controller embed in DGU to realize distributed control. Simulation shows that the robustH∞control method has better robustness.

Key words: DC microgrid, robust control, distributed control, linear matrix inequalities, pole configuration

中图分类号:

TM712

王晓兰, 王科祖. 基于LMI的直流微电网分布式鲁棒H∞控制[J]. 太阳能学报, 2022, 43(5): 45-52.

Wang Xiaolan, Wang Kezu. DISTRIBUTED ROBUST H∞CONTROL IN DC MICROGRID BASED ON LINEAR MATRIX INEQUALIITIES[J]. Acta Energiae Solaris Sinica, 2022, 43(5): 45-52.

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基于LMI的直流微电网分布式鲁棒H∞控制

DISTRIBUTED ROBUST H∞CONTROL IN DC MICROGRID BASED ON LINEAR MATRIX INEQUALIITIES

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