论文标题
在基于逆变器的微电网中识别临界簇
Identification of Critical Clusters in Inverter-based Microgrids
论文作者
论文摘要
在本文中，我们通过建立所谓的临界簇的可能存在 - 逆变器组的控制设置接近稳定性边界，研究基于逆变器的微电网的稳定性。为此，我们考虑了网络加权入口矩阵的频谱，并表明其独特的特征值对应于逆变器簇，其结构可以通过相应的特征向量揭示。我们表明，加权入口矩阵的最大特征值对应于最接近稳定性边界的群集。我们还确定，在该特征值的值上存在一个边界，与整体系统的稳定性相对应。因此，我们可以证明系统的稳定性并找到控制设置最接近稳定性边界的逆变器组。
In this paper, we investigate the stability properties of inverter-based microgrids by establishing the possible presence of the so-called critical clusters - groups of inverters with their control settings being close to the stability boundary. For this, we consider the spectrum of the weighted admittance matrix of the network and show that its distinct eigenvalues correspond to inverter clusters, whose structure can be revealed by the corresponding eigenvector. We show that the maximum eigenvalue of the weighted admittance matrix corresponds to the cluster, closest to stability boundary. We also establish, that there exists a boundary on the value of this eigenvalue, that corresponds to the stability of the overall system. Thus, we make it possible to certify the stability of the system and find the groups of inverters in which control settings are closest to the stability boundary.
