To tackle the obstacle of applying passivity-based control (PBC) into power systems, an affine non-linear system widely existing in power systems is formulated as a standard Hamiltonian system using a pre-feedbaek method. The port controlled Hamiltonian with dissipation (PCHD) model of TCSC is then established corresponding with a revised Hamiltanian function. Furthermore, employing the modified Hamiltonian function directly as the storage function, a non-linear adaptive L2 gain control method is proposed to solve the problem of L2 gain disturbance attenuation for this Hamiltonian system with parametric perturbations. Finally, simulation results are presented to verify the validity of the proposed controller.

China is a developing country. With the move towards deregulation and opening markets,there have been many changes in the industrial andtechnical sector, especially in the power industry.The changes penetrate into generation, transmission,and distribution systems. With developmentof the Three Gorges project started in the 1990s,many studies and test projects have been carriedout to determine the type of transmission lines, automationdevices, etc. The progress associatedwith the Three Gorges power system, compactlines, and distribution automation may be summarizedas follows.