Fractal Erosion of Safe Basins in Power System and Its Control
Chengwu Yang · Power System Technology · 2005
Many nonlinear dynamical systems are characterized by the coexistence of several attractors.With the variances of system parameters,basins of attraction,where the attractors are located,are tangled one another,and the safe basins of the systems become fractal and the stability may be lost.Power system is a typical nonlinear dynamical system and also has the phenomena above.The fractal erosion of safe basin in a power system disturbed by a periodical load is studied,and the erosion extent induced by different disturbance values is numerically analyzed.The condition of fractal erosion of safe basin’s boundary is obtained by Melnikov function,on this basis the threshold of the fractal erosion is enhanced by time-delayed feedback technique,and finally the boundary of safe basin becomes smooth,which shows that the control strategy is feasible.