Graph-Theoretic Analysis of Power Systems
Graph-Theoretic Analysis of Power Systems
复制标题
DOI：
10.1109/jproc.2018.2812298
复制
发表时间：
2018-05-01
影响因子：
20.6
通讯作者：
Imura, Jun-Ichi
中科院分区：
文献类型：
--
作者：
Ishizaki, Takayuki;Chakrabortt, Aranya;Imura, Jun-Ichi
在本文中，我们将概述图论在电力系统建模、动力学、相干和控制方面的应用。首先，我们根据电力系统的网络结构以及网络图中节点和边的权值，利用经典结构保持模型的非线性和小信号表示来研究发电机动力学的同步。我们概述了相位和频率同步的重要充要条件。我们强调了图结构在相干性中的作用，并引入了发电机和总线聚合的思想，从而可以开发大型电网的动态等效模型，同时在等效模型的网络图中保留“总线”的概念。我们还讨论了图稀疏化的几个新结果，用于设计功率流振荡阻尼的分布式控制器。
In this paper, we present an overview of the applications of graph theory in power system modeling, dynamics, coherency, and control. First, we study synchronization of generator dynamics using both nonlinear and small-signal representations of classical structure-preserving models of power systems in light of their network structure and the weights associated with the nodes and edges of the network graph. We overview important necessary and sufficient conditions for both phase and frequency synchronization. We highlight the role of graph structure in coherency properties, and introduce the idea of generator and bus aggregation whereby dynamic equivalent models of large power grids can be developed while retaining the concept of a "bus" in the network graph of the equivalent model. We also discuss several new results on graph sparsification for designing distributed controllers for power flow oscillation damping.