Study On The Cascading Failure Model Of Interdependent Networks Base On Coupling Strength

Cascading failure phenomenon is very common in real life many of the infrastructure network on,cascading failure event will cause unpredictable losses and even disastrous consequences.With the single level superior network connection faults study is becoming more and more mature,many researchers have found that,interdependent network more easily outbreak of cascading failures,and once the failure of one layer of network breakout,the failure will quickly spread to the other network with connection to it,and lead to local area network or even the collapse of the global network,resulting in the loss cannot be estimated.In many studies on mutual dependence network cascading failures,there are few scholars involved in the mutual dependence of coupling strength between networks,considering the function of the coupled edge between two networks is to connect the two interdependent networks,but does not have other functions,the different coupled edges between two networks do not affect the initial load of nodes and edges,they also do not affect the ability of nodes and edges,but this is not true.In fact,the different types of coupled edges play the different roles and will affect the initial load and ability of both the nodes and edges.For example,for a computer network and electricity network of interdependent network,if a very powerful computer in computer networks and a big power station in power network in mutual coupling,then a computer can transmit signal of power station,and it can give a very good control of the power station,but also the power station can provide very good power support to the computer,under normal circumstances the two interdependent networks can orderly operate an play its respective roles.However,the computer(power station)failure will lead to the cascading failure of the power station(computer)with the spread of the fault in the respective network,eventually lead to the failure of the local network and even the collapse of the entire network,causing immeasurable loss.To make the study of interdependent network cascading failure be more realistic,this paper presents the concept of coupling strength between two interdependent networks,and the method of coupling strength measurement,the whole article research study the cascading failures just around the coupling strength of interdependent networks.The main contents of this paper are as follows:(1)Put forward the concept of coupling strength between the interdependent networks and give the method of measurement.Considering the analysis of local features in the nodes of the mutual coupling,the weights of the nodes at the ends of the coupled edge have a great influence on the coupling strength,the bigger the weights of nodes the bigger the coupling strength between them.(2)Considering the cascading failure model with coupling strength of interdependent networks based on nodes.Taking into account the coupling strength will affect the dynamic behavior in interdependent networks of node cascading failures,we establish the node cascading failure model with the coupling strength,and introduce the cascading failure load model with adjustable parameter of interdependent networks,the adjustable parameter is used to control the coupling strength between interdependent networks,and use the numerical analysis and simulation method to study the effects of the coupling strength between interdependent networks.(3)Considering the cascading failure model with coupling strength of interdependent networks based on edges.Due to the coupling strength on coupled edge will affect the cascading failure dynamics on interdependent networks,we establish the cascading failure model with coupling strength of interdependent networks based on edges,and also introduce the cascading failure load model with an adjustable parameter,the parameter can control the coupling strength,on this basis,we study the dynamics process of the cascading failure based on edges.