论文标题
基于逆变器的微电网中关键簇的识别和稳定
Identification and Stabilization of Critical Clusters in Inverter-Based Microgrids
论文作者
论文摘要
本文提出了一种基于逆变器的微电网的稳定性评估的新方法。它利用了关键群集的概念 - 一个局部的逆变器群体，其参数对系统稳定性影响最大。提出了加权网络接收矩阵的频谱将系统分解为簇，并根据其距稳定性边界的距离进行排名。我们表明，该矩阵的每个不同特征值都与一个群集相关联，其特征向量显示了一组逆变器，这些逆变器最参与相应的群集。最低稳定或不稳定的簇对应于加权式矩阵的相应特征值的较高值。我们还为特征值建立了一个确定整个系统稳定性边界的上阈值，并证明此值仅取决于网格类型（即网络的$ r/x $比率），并且不取决于网格拓扑。因此，提出的方法根据此上阈值提供了稳定证书，并确定需要调整需要调整的线或逆变器下垂设置以恢复或改善稳定性。
A new method for stability assessment of inverter-based microgrids is presented in this paper. It leverages the notion of critical clusters -- a localized group of inverters with parameters having the highest impact on the system stability. The spectrum of the weighted network admittance matrix is proposed to decompose a system into clusters and rank them based on their distances from the stability boundary. We show that each distinct eigenvalue of this matrix is associated with one cluster, and its eigenvectors reveal a set of inverters that participate most in the corresponding cluster. The least stable or unstable clusters correspond to higher values of respective eigenvalues of the weighted admittance matrix. We also establish an upper threshold for eigenvalues that determines the stability boundary of the entire system and demonstrate that this value depends only on the grid type (i.e. $R/X$ ratio of the network) and does not depend on the grid topology. Therefore, the proposed method provides the stability certificate based on this upper threshold and identifies the lines or inverter droop settings needed to be adjusted to restore or improve the stability.
