Passivity-based adaptive control for static condensers

This paper deals with the nonlinear adaptive control of static condensers (STATCON), which belong to the class of FACTS (Flexible AC Transmission Systems) used for the control of electrical networks. The here-proposed methodology is based on the passivity property of Lagrangian systems, due to the so-called skew-symmetry property of such systems [2]. In a first part of the paper, we show that the averaged dynamics of static condensers may be described by using Euler-Lagrange formalism and, therefore, may be controlled by using passivity. Then, a passivity-based dynamic feedback is proposed on the basis of the averaged dynamics, by using a partial inversion approach. In a second part, we propose an adaptive version of this controller, in order to take some parameter uncertainties into account. Finally, some simulation results are presented in order to demonstrate the effectiveness of this approach, when the control is applied to the switched model of the STATCON.