引用本文: | 王晓兰,侯天玉,宫玮丽,刘祥远.基于Tube不变集的直流微电网鲁棒模型预测控制[J].电力系统保护与控制,2020,48(17):9-17.[点击复制] |
WANG Xiaolan,HOU Tianyu,GONG Weili,LIU Xiangyuan.Robust model predictive control of a DC microgrid based on a Tube invariant set[J].Power System Protection and Control,2020,48(17):9-17[点击复制] |
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摘要: |
由多个分布式发电单元(Distributed Generation Units, DGUs)互联组成的直流微电网中,DGU的投入或退出使微电网结构具有不确定性。针对这一问题,将基于Tube不变集的鲁棒模型预测控制策略应用于直流微电网,离线设计,在线实时控制,使直流微电网在结构具有不确定情况下的状态始终收敛于终端干扰不变集,保证DGU投入或退出时直流微电网的母线电压稳定。首先分析了系统的状态方程,并推导出线性化模型。然后设计鲁棒模型预测控制器。最后利用Matlab进行数值仿真,验证了该控制方法的可行性。 |
关键词: 直流微电网 不确定系统 Tube不变集 线性矩阵不等式 鲁棒模型预测控制 |
DOI:DOI: 10.19783/j.cnki.pspc.191324 |
投稿时间:2019-10-26修订日期:2019-12-04 |
基金项目:国家自然科学基金项目资助(61963024) |
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Robust model predictive control of a DC microgrid based on a Tube invariant set |
WANG Xiaolan,HOU Tianyu,GONG Weili,LIU Xiangyuan |
(National Experimental Teaching Demonstration Center of Electrical and Control Engineering,
Lanzhou University of Technology, Lanzhou 730050, China) |
Abstract: |
In a DC microgrid composed of multiple interconnected Distributed Generation Units (DGUs), the input or exit of the DGU makes the microgrid structure uncertain. To solve this problem, a Robust Model Predictive Control (RMPC) strategy based on a Tube invariant set is applied to the DC microgrid, with off-line design and online real-time control, so that the state of the DC microgrid with uncertain structure always converges to a terminal interference invariant set, and the bus voltage of the DC microgrid is stable when the DGU is put in or out. First, the state equation of the system is analyzed, and the linearized model is derived. Then, the robust model predictive controller is designed. Finally, the feasibility of the control method is verified by numerical simulation with Matlab.
This work is supported by National Natural Science Foundation of China (No. 61963024). |
Key words: DC microgrid uncertain system Tube invariant set linear matrix inequality (LMI) robust model predictive control (RMPC) |