基于LMI的直流微电网分布式鲁棒H∞控制

王晓兰; 王科祖

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

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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

作者信息 +

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

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

Author information +

文章历史 +

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。

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.

导出引用

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

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

中图分类号： TM712

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