Abstract Full converter-based wind power generation (FCWG, e.g. permanent magnet synchronous generator (PMSG)) becomes prevalent in power electronics dominated multi-machine power system (MMPS). With flexibly modified FCWG oscillation modes (FOMs), FCWG has the potential to actuate conducive dynamic interactions with electromechanical oscillation modes (EOMs) of MMPS. In this paper, a mathematical model of FCWG and MMPS is firstly derived to examine the dynamic interactions. Then a novel modal superposition theory is proposed to classify the modal interactions between FOMs and EOMs in the complex plane for the first time. The modal coupling mechanism is graphically visualized to investigate the dynamic interactions, and the eigenvalue shift index is proposed to quantify the dynamic interaction impact on critical EOM. Based on different manifestos in modal coupling mechanism and eigenvalue shift index, a novel methodology to optimize the dynamic interactions between the FCWG and MMPS is designed within the existing control frame. The optimized dynamic interactions (i.e. modal counteraction) can significantly enhance the LFO stability of MMPS, effectiveness of which is verified by both modal analysis and time domain simulations.

中文翻译：

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基于模态叠加理论的优化模态协调策略缓解FCWG穿透电力系统低频振荡

摘要 基于全变流器的风力发电（FCWG，例如永磁同步发电机（PMSG））在电力电子主导的多机电力系统（MMPS）中变得普遍。通过灵活修改的 FCWG 振荡模式 (FOM)，FCWG 有可能通过 MMPS 的机电振荡模式 (EOM) 激活有益的动态相互作用。在本文中，首先推导出FCWG 和MMPS 的数学模型来检验动态相互作用。然后提出了一种新的模态叠加理论，首次对复平面中 FOM 和 EOM 之间的模态相互作用进行了分类。以图形方式可视化模态耦合机制以研究动态相互作用，并提出特征值偏移指数来量化动态相互作用对临界 EOM 的影响。基于模态耦合机制和特征值偏移指标的不同宣言，在现有控制框架内设计了一种优化FCWG和MMPS之间动态交互的新方法。优化后的动态相互作用（即模态抵消）可以显着提高 MMPS 的 LFO 稳定性，模态分析和时域仿真验证了其有效性。