Hamiltonian modelling and nonlinear disturbance attenuation control of TCSC for improving power system stability

To tackle the obstacle of applying passivity-based control (PBC) to power systems, an affine non-linear system widely existing in power systems is formulated as a standard Hamiltonian system using a pre-feedback method. The port controlled Hamiltonian with dissipation (PCHD) model of a thyristor controlled serial compensator (TCSC) is then established corresponding with a revised Hamiltonian 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