基于凸多面体模型的孤岛直流微电网分散式鲁棒控制策略

兰州理工大学学报 ›› 2025, Vol. 51 ›› Issue (6): 90-98.

• 自动化技术与计算机技术 • 上一篇下一篇

基于凸多面体模型的孤岛直流微电网分散式鲁棒控制策略

王晓兰^*, 张良良, 郭童吉

兰州理工大学自动化与电气工程学院, 甘肃兰州 730050

收稿日期:2023-01-02 发布日期:2025-12-31
通讯作者: 王晓兰(1963-),女,甘肃天水人,教授,博导.Email:wangzt@lut.edu.cn
基金资助:
国家自然科学基金(61963024)

Decentralized robust control strategy of islanded DC-MG based on convex polytopic model

WANG Xiao-lan, ZHANG Liang-liang, GUO Tong-ji

School of Automation and Electrical Engineering, Lanzhou University of Technology, Lanzhou 730050, China

Received:2023-01-02 Published:2025-12-31

摘要/Abstract

摘要： 在由多个分布式发电单元组成一般拓扑结构的孤岛直流微电网中,分布式发电单元即插即用、负载突变和拓扑结构变化会影响系统的稳定运行.针对该问题,将孤岛直流微电网中的多种不确定性采用凸多面体模型进行描述;利用扩展的线性矩阵不等式约束得到分布式发电单元子系统和微电网系统渐近稳定的条件,通过闭环极点位置约束提升了分布式发电单元的动态性能.在此基础上求解分布式发电单元的凸优化问题,得到基于凸多面体模型的孤岛直流微电网分散式鲁棒控制器.仿真结果表明:与采用参数确定性模型下的分散鲁棒控制系统性能进行比较,该方法更能有效抑制直流微电网系统的电压波动,从而提高直流微电网系统的稳定性.

关键词: 直流微电网, 分散式控制, 凸多面体模型, 线性矩阵不等式, 即插即用

Abstract: In an isolated DC microgrid with a general topology composed of multiple distributed generation units, distributed generation unit plug and play, sudden load changes, and topology changes will affect the stable operation of the system. To solve the problem, various uncertainties in the islanded DC microgrid are described using a convex polytope mode. The asymptotic stability conditions of the distributed generation unit subsystem and microgrid system are obtained based on the extended linear matrix inequality constraints, and the dynamic performance of the distributed generation unit is improved by closed-loop pole position constraints. On this basis, the convex optimization problem of distributed generation units is solved, and a decentralized robust controller for isolated DC microgrids based on a convex polyhedron model is obtained. The simulation results show that compared with the performance of a decentralized Robust control system based on a parameter deterministic model, the proposed method can effectively restrain the voltage fluctuation of the DC microgrid system, thus improving the stability of the DC microgrid system.

Key words: DC microgrid, decentralized control, convex polytopic model, linear matrix inequality, plug and play

中图分类号:

TM712

王晓兰, 张良良, 郭童吉. 基于凸多面体模型的孤岛直流微电网分散式鲁棒控制策略[J]. 兰州理工大学学报, 2025, 51(6): 90-98.

WANG Xiao-lan, ZHANG Liang-liang, GUO Tong-ji. Decentralized robust control strategy of islanded DC-MG based on convex polytopic model[J]. Journal of Lanzhou University of Technology, 2025, 51(6): 90-98.

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基于凸多面体模型的孤岛直流微电网分散式鲁棒控制策略

Decentralized robust control strategy of islanded DC-MG based on convex polytopic model

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