Model Establishment And Reliability Analysis Of Cascading Failure System Under Different Load Influence Modes

Cascading failure refers to the phenomenon that the failure of one or a few nodes or connections in the network will lead to the failure of other nodes through the coupling relationship between nodes,resulting in cascading effect,which eventually leads to the collapse of a considerable number of nodes or even the whole network.With the rapid development of science and technology,the relationship between the network systems in human society is becoming more and more close.A small disturbance may spread rapidly through the coupling characteristics of the system,spread to the whole network,even lead to system paralysis,resulting in incalculable damage.Therefore,cascaded failure models in complex systems have attracted more and more attention from scholars.In the first chapter,the definition,principle and possible consequences of cascading failure are described from the practical background,and the previous literature is summarized,and the cascading failure models in different systems are combed and analyzed;in the second chapter,based on the improved cascade model,the load distribution mode in the cascading failure process is improved,and at the same time,based on the two-state hypothesis The cascaded failure system is extended to the multi-state case,and three different load influence models are established,respectively considering the number of remaining non failure components,the influence range of failure components and the distance between failure components and non-failure components.In Chapter 3,aiming at three load influence models,the number of dangerous failure components and safety failure in the cascaded failure system are derived respectively The probability distribution of the number of components and the reliability formula of the system under the dangerous failure mode and safe failure mode are given.In Chapter 4,a numerical example is given to verify the feasibility and effectiveness of the model.In Chapter 5,the final summary of this paper is given and the future research direction is prospected.The innovation of this paper is to establish a CASCADE model with different load influence modes,and expand the fault state of the cascading failure system from two states to polymorphism,and at the same time refine the propagation process of the cascade failure,analyze and compare different loads The influence mode and the system reliability under different failure modes provide a useful reference for improving the system reliability by adjusting the load distribution method in the actual environment.The research has both theoretical and practical significance.