基于Lyapunov法的风电全直流系统大扰动稳定性分析

徐洋 , 李凤婷 , 刘江山

南方电网技术 ›› 2026, Vol. 20 ›› Issue (1) : 35 -46.

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南方电网技术 ›› 2026, Vol. 20 ›› Issue (1) : 35 -46. DOI: 10.13648/j.cnki.issn1674-0629.2026.01.004

基于Lyapunov法的风电全直流系统大扰动稳定性分析

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Large Disturbance Stability Analysis of Wind Power Full DC System Based on Lyapunov Method

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摘要

全直流型风电场具有良好的主动支撑能力且能解决传统交流输电系统中无功功率和过电压等问题,受到学术界和工业界的广泛关注。由于风电全直流系统电力电子化程度高,在发生大扰动时故障发展迅速且具有强时变非线性,暂态稳定性是影响其稳定运行的关键问题。针对风电全直流系统大扰动稳定性问题,考虑到稳定性保守性问题,首先使用Takagi-Sugeno(T-S)模糊模型方法建立风电全直流系统的主电路和控制器参数的平均模型。其次借助Lyapunov第二法构建系统能量函数,并构造估计系统稳定域,以此直观地对风电全直流系统进行大扰动稳定性分析。然后根据线性矩阵不等式(linear matrix inequality)工具判断系统电气及控制参数对系统大扰动稳定域的关系,并通过Lyapunov函数绘制出的系统稳定域,针对各系统参数对风电直流系统的影响进行了比较分析,实现了大扰动情况下保持系统的稳定性。仿真结果验证了所提方法有效性。

Abstract

Full DC wind farms have good active support capabilities and can solve problems such as reactive power and overvoltage in traditional AC transmission systems, which have attracted widespread attention from academia and industry. Due to the high degree of power electronicization in wind power full DC systems, faults develop rapidly and exhibit strong time-varying nonlinearity in the event of large disturbances. Transient stability is a key issue affecting their stable operation. To address the issue of large disturbance stability in wind power full DC systems, considering the conservatism of stability, the Takagi Sugeno (TS) fuzzy model method is firstly used to establish an average model of the main circuit and controller parameters of the wind power full DC system. Secondly, the Lyapunov second method is used to construct the system energy function and an estimation of the system's stability domain, in order to intuitively analyze the large disturbance stability of the wind power full DC system. Then, based on the linear matrix inequality tool, the relationship between the electrical and control parameters of the system and the large disturbance stability domain of the system is determined. The system stability domain is plotted using the Lyapunov function, and the impact of each system parameter on the wind power DC system is analyzed and compared to achieve system stability analysis under large disturbances. Finally, the effectiveness of the proposed method is verified through simulation results.

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关键词

风电全直流系统 / 线性矩阵不等式 / 大扰动稳定性分析 / TS模糊模型

Key words

wind power full DC system / linear matrix inequality / large disturbance stability analysis / TS fuzzy model

Author summay

徐洋(2000),男,硕士研究生,研究方向为新型电力系统稳定性分析,

李凤婷(1965),女,通信作者,教授,博士,研究方向为交直流混联系统稳定与控制,

刘江山(1997),博士研究生,研究方向为交直流混联系统稳定控制,

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徐洋,李凤婷,刘江山. 基于Lyapunov法的风电全直流系统大扰动稳定性分析[J]. 南方电网技术, 2026, 20(1): 35-46 DOI:10.13648/j.cnki.issn1674-0629.2026.01.004

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基金资助

国家重点研发计划资助项目(2021YFB1507001)

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