The power system is a typical non-linear system, of which the influencing factors are complex. The existing power system stability analysis methods can only determine whether the system into chaos, and deem chaos unstable. The development of the science of chaos has opened up a new way for the power system stability analysis. First, chaotic time series based on the power system calculate the largest Lyapunov exponent of the power system time series by the use of C-C method in the chaos theory and reconstruction of phase space. Then it identifies Chaos according to the largest Lyapunov exponent. Finally, it determines whether the power system is the Lagrange stability according to the size of the index combined with systemic phase diagram. The analysis of actual power system simulation proved that it is feasible to use chaos theory to analyze the stability of the grid Lagrange.
