Summary: | In this study, a delay-dependent anti-windup compensator (AWC) is designed for supplementary
damping control (SDC) of flexible AC transmission system (FACTS) device to
enhance the damping of inter-area oscillations of the power system subjected to
time-delay and actuator saturation. By employing global signal measurements, an
SDC of FACTS device is designed without considering the effect of time-delay and
actuator saturation to stabilise the power system using a robust output feedback
controller with pole placement approach. Then, based on the generalised sector
condition and Lyapunov–Krasovskii functional, an add-on delay-dependent AWC is
designed to mitigate the adverse effect of time-delay and actuator saturation
non-linearity. For the design of delay-dependent AWC, sufficient conditions
guarantee the asymptotic stability of the closed-loop power system are
formulated in the form of linear matrix inequalities (LMIs). These conditions
are cast into the LMI-based convex optimisation problem to compute the AWC
gains. To evaluate the effectiveness of the proposed controller, non-linear
simulations were performed first using MATLAB/Simulink. Then, the authors
implemented the proposed controller in real-time using the Opal-RT digital
simulator. From the obtained results, it is observed that the proposed
controller enhances the damping of inter-area oscillations by compensating the
effect of time delay and actuator saturation.
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