Passivity-Based Control for Hydro-Turbine Governing Systems

In this paper an interconnection and damping assignment passivity-based control (IDA-PBC) applied to the hydro-turbine governing systems (HTGS) is proposed to regulate the relative deviation of turbine speed in single machine infinite bus system. The passivity-based control (PBC) theory is selected because in the open-loop the HTGS has a port-Hamiltonian (pH) structure. The PBC theory takes advantage of the pH structure of the open-loop dynamical system to design a general control law, which preserves the passive structure in closed-loop via interconnection and damping reassignment. Additionally, the PBC theory guarantees globally asymptotically stability in the sense of Lyapunov for the close-loop dynamical system. Time-domain simulations demonstrate the robustness and proper performance of the proposed methodology applied to the HTGS under different operative conditions.