Fractional Order Governing Method for Hydroturbine System

Aiming at PI^λ controller of fractional order model for hydroturbine system, the steady domains of the governing parameters of k_p and k_i were calculated under different orders of λ based on the boundary between real roots and complex roots. The regular pattern of the domain was analyzed. Bounded by the domain, the specific parameters of k_p and k_i were seeked under the premise of preset for the cross-over frequency ω_c and phase margin φ_m using frequency domain analysis method so as to reach the expected traceability and control robustness of the PI^λ controller of fractional order model. Simulation calculation results show that the control effect of the method is good. Compared with the swarm intelligence solutions based on integrated time and absolute error, it is easy to realize through configuration due to the analytic formula of the method, thus site application can be realized by programmable logic controller (PLC) or distributed control system (DCS).