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.

A novel methodology is proposed to evaluate the available transfer capability (ATC) of prescribed interfaces in connected power networks. With respect to the major uncertain factors affecting the ATC value, a realistic stochastic model is formulated in which availability of generators and circuits are considered as random variables following binomial distributions. With reasonable assumptions, fluctuations of loads are taken into consideration as normally distributed variables. To deal with the complex problem formulated with both discrete and continuous variables involved efficiently, a hybrid stochastic approach which takes advantage of both two-stage stochastic programming with recourse and chance constrained programming is proposed. The necessity of considering the impact of uncertainties on ATC assessment is demonstrated clearly by using the IEEE 118-node standard. Numerical results also illustrate the capability and efficiency of the proposed methodology.