In this article, we studied the transient stability for a system composed asynchronous generators and synchronous connecting to a power network infinite using the method of Lyapunov. The idea is researching the possibility of using the Hamiltonian energy function as a Lyapunov function one by one for our generators. After having verified the three criteria of Lyapunov's method, we have the possibility for using Hamiltonian energy as a Lyapunov function. According to the results of the simulations on matlab software plus these three criteria, we could affirm that the two machines as well as the complete system, synchronous generator with asynchronous generator connected to a SMIB network are stable in the sense of Lyapunov. In addition, the simulation results show us that all the saddle knots point are on the positive side of the axis, except one which is on the negative side; the latter situation is due to the absence of the wind (case of an asynchronous generator driven by a wind turbine).

Keywords : Transient Stability, Hamiltonian Energy, Wind, Lyapunov Function.