基于复杂网络拓扑的电网Braess悖论现象研究

Study on Braess Paradox of Power Grid Based on Complex Network Topology

为探究较优的电网结构,减小Braess悖论现象的发生概率,采用二阶类Kuramoto相振子模型对电网进行合理建模,参照IEEE14、IEEE30和IEEE39标准测试网络的拓扑结构,保留网络节点数和连边数不变,采用ER随机模型生成同样大小的随机网络。通过在随机网络中增加发电机节点个数,改变发电机位置等方式,研究不同结构下电网中新增传输线路导致的Braess悖论发生概率。研究表明:适当增加电网中发电机节点个数可以减少电网中Braess悖论发生概率,且以大度节点作为发电机节点有利于提高电网同步能力,降低Braess悖论发生概率。本研究对电网的拓扑设计和优化具有一定指导意义。

To explore a better power grid structure and reduce the probability of Braess paradox.In this paper,the second order Kuramoto-like phase oscillator model is used to reasonably model the power grid,and several networks are generated by ER random model in which the number of network nodes and links is the same as IEEE14,IEEE30,and IEEE39,respectively.By increasing the number of generator nodes and changing the position of generators in the random network,the occurrence probability of Braess paradox caused by a new adding transmission lines in the different power grid is studied.Study shows that appropriately increasing the number of generator nodes in the power grid can reduce the probability of the Braess paradox in the power grid,and taking large-degree nodes as generator nodes is beneficial to improve the power grid synchronizability and reduce the probability of Braess paradox.This study has certain guiding significance for the topology design and optimization of the power grid.