引用本文: | 郑 征,魏梦雨,李绍令,等.基于李雅普诺夫直接法的MMC控制策略研究[J].电力系统保护与控制,2024,52(19):35-46.[点击复制] |
ZHENG Zheng,WEI Mengyu,LI Shaoling,et al.MMC control strategy based on a direct Lyapunov method[J].Power System Protection and Control,2024,52(19):35-46[点击复制] |
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摘要: |
为改善PI控制下模块化多电平变换器(modular multilevel converter, MMC)的控制效果,提出了基于李雅普诺夫直接法的MMC控制策略。首先,建立MMC整流器的数学模型。其次,构造出MMC系统的李雅普诺夫能量函数。然后,在MMC数学模型和能量函数的基础上设计了控制系统。由奈奎斯特稳定判据分析了直流电压稳定性的影响因素,并在经典频域下通过伯德图对比分析了李雅普诺夫控制策略和PI控制策略的控制性能。最后,在负载阶跃、交流侧电压幅值阶跃和交流侧三相电压不平衡工况下对两种控制策略进行了仿真和半实物在环仿真研究。结果表明,李雅普诺夫控制策略较PI控制策略有着更好的控制效果,李雅普诺夫控制策略更适用于MMC此类非线性强耦合系统。 |
关键词: 模块化多电平变换器 李雅普诺夫直接法 PI控制 控制性能 |
DOI:10.19783/j.cnki.pspc.240228 |
投稿时间:2024-02-28修订日期:2024-04-29 |
基金项目:河南省科技攻关项目资助(222102220014;222102240027);河南省国际科技合作项目资助(232102520017) |
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MMC control strategy based on a direct Lyapunov method |
ZHENG Zheng1,2,WEI Mengyu1,LI Shaoling1,2,SHI Mengyao1 |
(1. School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo 454003, China; 2. Henan
International Joint Laboratory of Direct Drive and Control of Intelligent Equipment, Jiaozuo 454003, China) |
Abstract: |
To improve the control effect of a modular multilevel converter (MMC) under traditional PI control, an MMC control strategy based on the Lyapunov direct method is proposed. First, the mathematical model of the MMC rectifier is established. Secondly, the Lyapunov energy function of the MMC system is constructed. Then, the control system is designed on the basis of the MMC mathematical model and energy function. The influencing factors of DC voltage stability are analyzed by the Nyquist stability criterion, and the control performance of Lyapunov strategy and PI control strategy are compared and analyzed by a Bode diagram in the classical frequency domain. Finally, the two control strategies are simulated and studied when the load is switched, the voltage amplitude of AC side changes suddenly and the three-phase voltage of AC side is unbalanced. The results show that the Lyapunov control offers better control than the PI, and it is more suitable for nonlinear and coupled strongly systems such as with an MMC. |
Key words: modular multilevel converter direct Lyapunov method PI control control performance |