Adaptive passivity-based control with sliding mode for the turbine steam valve

The problem of transient stability for a single machine infinite bus system with the turbine steam valve control is addressed via adaptive feedback passivation approach. In the system, the damping coefficients are measured inaccurately and the transmission line reactance also contains uncertainty. The system is first converted into a new system with a new auxiliary control. An appropriate update law is designed to make the new transformed system passive. Then, the sliding mode control (the auxiliary control) is designed so that the trajectory of the passive system is maintained on the sliding hyperplane and eventually goes to an equilibrium point. Simulation results for the SIMB benchmark case demonstrate the effectiveness of the proposed design.