Bifurcation Analysis and Simulation of a Typical Power System

To Improve the voltage stability and protect the system from voltage collapse for power system security,the problem of voltage stability in a typical power system based on bifurcation theory is comprehensively studied with AUTO2000,a general continuation and bifurcation software.The bifurcation values of three different generator models(two axis model,one axis model and classical model) are presented.The results indicate that the power system undergoes different bifurcation phenomena,which means that the system voltage stability varies with the generator model.Meanwhile,the bifurcation results show that Hopf bifurcation(HB) point appears before the Saddle Node Bifurcation(SNB) point,which reveals the principal reason for voltage instability of the power system.In addition,it can be found that the periodic solutions arising from a Hopf Bifurcation can undergo further dynamic bifurcation by themselves: Cyclic Fold Bifurcation(CFB),Period Doubling Bifurcation(PDB) and Tours Bifurcation(TB).Moreover,under different generator models,the power system loses the stability at different dynamic bifurcation points,PDB of two axis model,TR of one axis model,CFB of classical model.Detailed time simulation is presented to illustrate these results.