基于复杂网络理论的互联电网Braess悖论现象分析

Analysis of Braess Paradox in an Interconnected Power Grid Based on Complex Network Theory

为了探究互联电力网络中的Braess悖论现象,采用二阶类Kuramoto相振子模型对电网进行动力学建模,将两个子网通过大度节点相连构建互联电网。当两个子网间有功率传输时,分别在两个子网内部新增传输线路探究互联电网发生Braess悖论现象的概率并分析其原因。研究发现:当互联电网中两个子网间的功率传输达到某一临界值时,受电子网的同步能力远优于供电子网的同步能力,供电子网新增传输线路引起互联电网发生Braess悖论的概率远高于受电子网新增传输线路引发的Braess悖论概率。通过定义子网序参数对上述现象的产生进行深入分析。本研究对互联电网的拓扑优化具有重要意义。

To explore Braess paradox phenomenon in an interconnected power grid, a second order Kuramoto-like phase oscillator model is applied to model dynamics of the power grid. The two subnets are connected by the largest degree nodes to build an interconnected power grid. As power transmission between two subnets occurs, new transmission lines are added in the two subnets repectively to explore the probability of Braess paradox phenomenon and analyze the reasons. It is found that as the power transmission between the two subnets reaches a critical value, synchronizability of the power receiving subnet is much better than that of the power supply subnet. The probability of Braess paradox caused by adding a new transmission line in the power supply subnet is much higher than that caused by adding a new transmission line in the power receiving subnet. The phenomena are analyzed in depth by defining subnet order parameter. This study is important for the topology optimization of a interconnected power grid.