| 引用本文: | 肖伸平,廖世英,张晓虎,郑湘明,邓博文.含时滞的不确定性交直流微电网直流母线电压H∞控制[J].电力自动化设备,2024,44(4):184-189,217 |
| XIAO Shenping,LIAO Shiying,ZHANG Xiaohu,ZHENG Xiangming,DENG Bowen.H∞ control of DC bus voltage in uncertain AC/DC microgrid with time delays[J].Electric Power Automation Equipment,2024,44(4):184-189,217 |
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| 含时滞的不确定性交直流微电网直流母线电压H∞控制 |
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肖伸平1,2, 廖世英1,2, 张晓虎1,2, 郑湘明3, 邓博文1,2
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1.湖南工业大学 电气与信息工程学院，湖南 株洲 412007;2.湖南工业大学 电传动控制与智能装备湖南省重点实验室，湖南 株洲 412007;3.湖南工业大学 城市与环境学院，湖南 株洲 412007
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| 摘要: |
| 针对含通信网络延时的不确定性交直流微电网的直流母线电压稳定问题，提出了一种将状态空间法和阻抗分析法相融合的方法，构建具有时滞的范数有界不确定交直流微电网模型。基于系统鲁棒二次稳定的求解，获得了满足H∞控制性能的时滞无关型状态反馈控制器的条件。然后应用S-procedure定理，提出一种降低时滞依赖型Lyapunov方法的泛函构造难度且无须再次求导的方法，引用Wirtinger积分不等式和自由矩阵的积分不等式，得到时滞依赖型的H∞控制器。仿真分析验证了所提控制方法能在一定的通信延时约束下抑制不确定参数对直流母线电压的影响。 |
| 关键词: H∞控制器 交直流微电网 直流母线电压 不确定系统 时滞系统 |
| DOI：10.16081/j.epae.202401017 |
| 分类号:TM761 |
| 基金项目:国家重点研发计划项目(2022YFE0105200) |
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| H∞ control of DC bus voltage in uncertain AC/DC microgrid with time delays |
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XIAO Shenping1,2, LIAO Shiying1,2, ZHANG Xiaohu1,2, ZHENG Xiangming3, DENG Bowen1,2
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1.College of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou 412007, China;2.Key Laboratory for Electric Drive Control and Intelligent Equipment of Hunan Province, Hunan University of Technology, Zhuzhou 412007, China;3.College of Urban and Environmental, Hunan University of Technology, Zhuzhou 412007, China
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| Abstract: |
| Aiming at the problem of DC bus voltage stability of uncertain AC/DC microgrid with communication network delay, a method combining state space method and impedance analysis method is proposed to construct a norm-bounded uncertain AC/DC microgrid model with time delay. Based on the solution of the robust quadratic stability of the system, the conditions of the delay-independent state feedback controller satisfying the H∞ control performance are obtained. Then, by using S-procedure theorem, a method is proposed to reduce the difficulty of functional construction of delay-dependent Lyapunov method without taking the derivative again. By citing the Wirtinger integral inequality and the free matrix integral inequality, a delay-dependent H∞ controller is obtained. Simulation analysis shows that the proposed control method can suppress the effect of uncertain parameters on DC bus voltage under certain communication delay constraints. |
| Key words: H∞ controller AC/DC microgrid DC bus voltage uncertain system time-delay system |
