Abstract
Control actions, and among others control Lyapunov functions based approaches, for improving the dynamic behaviour of electrical power systems are traditionally derived using a classical differential-algebraic model for the system, which neglects transmission networks dynamics. In the paper, an energy function which is based upon a completely differential model for power system description, is employed for deriving stabilising control actions for FACTS devices complemented with active power exchange capabilities, which have been proposed to provide additional improvements to power system dynamic behavior compared with reactive-only compensators. The use of the extended invariance principle is proposed to circumvent the difficulty arising from non-negative definite terms in the time derivative of the proposed energy function. The improvement of the dynamic behaviour achieved with the proposed strategy is proven by means of numerical applications.
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