基于复杂网络理论的大型电力系统脆弱线路辨识

大规模电力网络中存在的某些脆弱环节,对电力系统大规模停电和连锁崩溃的发生有着重要的影响。基于复杂网络理论,提出了使用带权重线路介数作为脆弱线路指标的辨识方法,定义线路的带权重线路介数为其因被网络中发电机与负荷之间的最短电气路径经过而承受的负载和,并采取将电力网络中线路的介数指标提高到与其相邻的所有线路中介数指标最高的介数值的办法修正。以IEEE39节点系统及华中-川渝电网为例进行了脆弱性分析,同时进行了时域仿真实验。仿真结果表明带权重线路介数指标能够较好地辨识电力网络中的脆弱线路,特别是能够识别出那些承担功率不多但因其在电网结构中的特殊位置而对系统脆弱性有重大影响的线路。

Identification of vulnerable lines in power grid based on complex network theory

Critical lines may have serious impacts on large scale blackouts and cascading failures in power grid.Based on complex network theory,the weighted line betweenness is proposed as line vulnerability index,which is defined as the sum of currents through the line as the shortest electric path between generator nodes and load nodes.The weighted line betweenness is then modified to the highest betweenness of all neighboring lines.Vulnerability analysis is carried out on the IEEE 39-bus system and the Huazhong-Chuanyu power grid,and the time-domain simulation results verify that the weighted line betweenness can identify critical lines,which have light loads but great impacts on line vulnerability due to their special position in the power grid.This project is supported by the National Basic Research Program(973 Program)(2004 CB217902)and the Innovative Research Group Fund of Natural Science Foundation of China(60421002).