Chaos and bifurcation behavior in a fundamental power system with electromagnetic disturbance and load disturbance

With the increasing scale of the power grid and increasingly complex structure, the power system is always affected by various disturbances and parameter changes. The power system containing electromagnetic and load power disturbance simultaneously can exhibit rich behaviors, which accords with the reality. The chaotic oscillation caused by the power disturbance may lead to unstable operation of the power grid. Therefore, a fourth-order power system model with power disturbance is established in this paper. The nonlinear characteristic of the system under multiple disturbances is studied through the bifurcation diagram, Lyapunov exponent spectrum and the phase plane. The influence of the disturbance amplitude and frequency on the system under the condition of different frequency ratio is presented through the basin of attraction with parameter mapping, and the states of different motions of the system are given more intuitively, which is helpful for better understanding the chaotic behaviors of power system.