Study On Cascading Failure Models On Complex Networks Based On Local Characteristics

The occurrence of catastrophic incidents, such as the collapse of north American PowerGrid in2003, the cascading failure that caused by snow disaster of China in2008, theoutbreak of the Asian financial crisis in1997. All these results are triggered by thecascading failure in complex networks. Therefore, the research of cascading failure incomplex networks has important practical significance to prevent the disasters’ propagationin the network and to improve the network invulnerability; and that the key and basis of theresearch of cascading failure is to build theory model of cascading failure. Thus the studyof building the theory model of cascading failure has important theoretical significance foranalysing, preventing and controlling cascading failure in complex networks.This paper uses the system analysis method to construct a general analysis framework ofcascading failure in complex network. Based on complex network theory and simulationanalysis, from four basic viewpoints of local characteristics of network, this paper considersload distribution costs in redistribution strategy, introduces the protection measures to delayand to remove failure nodes and a non-linear relation between load and capacity, studiesfive cascading failure models, and reaching four conclusions.First, this paper sums up the key elements of the cascading failure, on the basis of theprocess of cascading failure in complex networks, analyzes the internal logic relationsbetween the key elements, putting forward a general analysis framework of cascadingfailure in complex network.Second, from the local characteristics and non-linear relation between load and capacity,based on the two models of cascade failure on node and edge of local characteristics, thispaper proposes mixed dynamic model of cascade failure. This avoids accessing the globalinformation of realistic network, and the definition of non-linear relation between load andcapacity is more suitable for realistic network.Third, this paper puts forward a model of cascade failure based on the local loaddistribution cost. This model improves the mixed dynamic model of cascade failure basedon the local characteristics of the node and edge. According to the optimal strategy of loadredistribution cost to redistribute the load of failure node (edge), this model supplies the gapof the lack of considering operating costs of cascade failure in complex networks.Fourth, this paper introduces the local protection measures to the model of cascadefailure based on the local load distribution cost, proposes a strategy of resisting cascadefailure based on local shunt. This strategy can delay the remove of failure nodes, making the cost of node (edge) load redistribution optimal, and strengthening the invulnerability ofresisting cascade failure in complex network.