李东东,刘一鸣,赵耀,钟伟伦
LI Dongdong,LIU Yiming,ZHAO Yao,ZHONG Weilun

• 1:上海电力大学电气工程学部

摘要(Abstract)：

在大规模PMSG（永磁同步电机）风电场并网系统中，应用GFMES（构网型储能）可为系统提供虚拟惯量以增强电网稳定性，但会使得系统小干扰稳定性的准确判断面临更大挑战。为此，提出一种基于eISS（指数输入状态稳定性）理论的稳定指标。首先，计及延时特性和虚拟惯量作用，将考虑GFMES影响的PMSG风电场并网系统建模为等效TDSSM（时变离散状态空间模型）。其次，基于TDSSM推导出全局渐近增益矩阵来量化各个子系统间的相互作用。然后，根据eISS理论提出EDSCR（指数动态短路比）并进行充要性证明，EDSCR用以描述PMSG-GFMES系统的小干扰稳定边界。最后，基于MATLAB平台进行仿真分析和对比研究，验证了所提模型和指标的有效性。
In large-scale grid-connected systems of permanent magnet synchronous generator(PMSG) wind farms, grid-forming energy storage(GFMES) can provide virtual inertia to enhance grid stability; however, it also makes accurate assessment of small-signal stability more challenging. To address this issue, a stability index based on exponential input-to-state stability(EISS) theory is proposed. First, considering time-delay characteristics and the effect of virtual inertia, the PMSG wind farm grid-connected system considering GFMES is modeled as an equivalent timevarying discrete state-space model(TDSSM). Second, based on the TDSSM, a global asymptotic gain matrix is derived to quantify the interactions among subsystems. Then, an exponential dynamic short-circuit ratio(EDSCR) is proposed based on EISS theory, and its necessary and sufficient conditions are rigorously established. The EDSCR is used to characterize the small-signal stability boundary of the PMSG-GFMES system. Finally, simulation studies and comparative analyses on the MATLAB platform verify the effectiveness of the proposed model and index.

关键词(KeyWords)： 小干扰稳定性;短路比;指数输入状态稳定;直驱风场
small-signal stability;short-circuit ratio;exponential input-to-state stability;direct-drive wind farm

Abstract:

Keywords:

基金项目(Foundation): 国家自然科学基金（52377111）

作者(Author): 李东东,刘一鸣,赵耀,钟伟伦
LI Dongdong,LIU Yiming,ZHAO Yao,ZHONG Weilun

DOI: 10.19585/j.zjdl.202607006

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