基于逆变器资源（IBRs）的电力电网频域稳定性分析的广义奈奎斯特准则（GNC）的局限性与误解
Generalized Nyquist Criterion Limitations and Misconceptions for Frequency Domain Stability Analysis of Inverter-based Resources Integrated Power Grids
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中文总结 AI 辅助
本文针对逆变器资源（IBRs）电力电网，证明广义奈奎斯特准则（GNC）存在局限性，构建模型不确定性增强表示，提出用μ分析实现其多输入多输出鲁棒稳定性评估的方法。
中文摘要 AI 辅助
本文通过理论与数值研究，证明了广义奈奎斯特准则（Generalized Nyquist Criterion, GNC）在评估建模为多输入多输出（MIMO）系统的逆变器资源（inverter-based resources, IBRs）的小信号稳定性时存在局限性。GNC会给标称稳定性分析带来不必要的计算负担和增加分析复杂度。本文证明，GNC框架对于鲁棒稳定性分析不可靠，应用于MIMO IBR系统时可能产生误导性结果。为证明这些局限性并使用μ分析实现对IBRs的恰当MIMO鲁棒稳定性评估，本文构建了IBRs集成电力电网的模型不确定性增强表示，该模型明确捕捉参数变化、未建模动态、测量误差等各类不确定性源的结构特征与空间分布。由于这些不确定性自然存在于物理三相（abc）系统中，本文在构建的模型中将其系统地转换到dq0坐标系下。
英文摘要
This paper presents theoretical and numerical studies demonstrating the limitations of the Generalized Nyquist Criterion (GNC) in assessing the small-signal stability of inverter-based resources (IBRs) modeled as multi-input, multi-output (MIMO) systems. GNC leads to unnecessary computational burden and increased analytical complexity for nominal stability analysis. The paper demonstrates that the GNC framework is not reliable for robust-stability analysis and may lead to misleading results when applied to MIMO IBR systems. To demonstrate these limitations and enable a proper MIMO robust stability assessment of IBRs using mu-analysis, the paper develops a model-uncertainty-augmented representation of an IBR-integrated power grid. The proposed model explicitly captures the structural characteristics and spatial distribution of various uncertainty sources, such as parametric variations, unmodeled dynamics, and measurement errors. Since these uncertainties naturally occur in the physical three-phase (abc) systems, they are systematically transformed into the dq0 frame within the developed model.
