交流电网的分散式即插即用稳定性条件——第二部分：不稳定子系统
Decentralised Plug-and-Play Stability Conditions for AC Grids-Part II: Unstable Subsystems
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中文总结 AI 辅助
本文提出一种分散式即插即用稳定性分析方法，通过混合表示和特征轨迹分支条件，处理含不稳定子系统的交流电网，并在Kundur两区域系统上验证了其有效性。
中文摘要 AI 辅助
本文第一部分提出了一个分散式框架，利用各电网子系统的频域二次约束来认证交流电网的小信号稳定性。第二部分将该框架扩展到包含不稳定子系统的更广泛网络类别。特别地，我们表明此类不稳定子系统在许多常见场景中会出现，即使聚合系统是稳定且表现良好的。此类子系统必须通过闭环网络互联来稳定，这使分散式稳定性分析复杂化。随后定义了一种稳定的混合表示，在低频时类似于功率（PQ）模型，在高频时类似于阻抗（IV）模型，第一部分中的稳定性框架可应用于此表示，从而能够制定即插即用兼容的条件。此外，我们表明在低频下，该混合表示中回比奈奎斯特图的特征轨迹沿经典的$P$-$\delta$/$Q$-$V$分离解耦为无界和有界分支，并给出了每个分支上确保系统稳定性的充分条件。结果在Kundur两区域系统上得到验证，其中稳定性得到认证，并采用覆盖电磁相互作用出现频率范围的分散式、即插即用兼容的电网规范。
英文摘要
Part I of this paper presented a decentralised framework for certifying small-signal stability in AC grids using frequency-domain quadratic constraints on individual grid subsystems. Part II extends the framework to a broader class of networks that contain unstable subsystems. In particular, we show that such unstable subsystems arise in many common scenarios, even when the aggregate system is stable and well behaved. Such subsystems must be stabilised by the closed-loop network interconnection, which complicates decentralised stability analysis. A stable hybrid representation resembling the power (PQ) model at low frequencies and the impedance (IV) model at high frequencies is then defined, to which the stability framework of Part I can be applied, allowing plug-and-play compatible conditions to be formulated. Furthermore, we show that at low frequencies, the characteristic loci in the Nyquist plot of the return ratio in this hybrid representation decouple into unbounded and bounded branches along the classical $P$-$δ$ / $Q$-$V$ separation, and give sufficient conditions on each branch for ensuring system stability. The results are validated on the Kundur two-area system, where stability is certified, with a decentralised, plug-and-play compatible grid code covering the frequency ranges in which electromagnetic interactions arise.
发表机构
- University of Cambridge（剑桥大学）
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