Study on the stability of waterpower-speed control system for hydropower station with upstream and downstream surge chambers based on regulation modes

Abstract

In allusion to the hydropower station with upstream and downstream surge chambers, a complete mathematical model of waterpower-speed control system that includes pipeline system and turbine regulation system is established under the premise of the breakthrough of Thoma assumption in this paper. The comprehensive transfer functions and free movement equations that characterize the dynamic characteristics of system are derived when the mode of governor is respectively frequency regulation and power regulation. Then according to Routh- Hurwitz theorem, the stability domain that describes the good or bad of stability is drawn in the coordinate system with the relative areas of upstream and downstream surge chambers as abscissa and ordinate respectively. Finally, the effects of Thoma assumption, flow inertia, regulation modes, and governor parameters on the stability of waterpower-speed control system are analyzed by means of stability domain. The following conclusions have been come to: Thoma assumption made the stability worse. The flow inertia Tw has unfavorable effect on the stability of the two regulation modes. The stability of power regulation mode is obviously superior to frequency regulation mode under the same condition, but the parametric variation sensibility of the former is inferior to the latter. For the governor parameters, the stability continually gets better with the increase of temporary droop bt and damping device time constant Td, while the stability of frequency regulation would get worse with the increase of temporary droop bt when the damping device time constant Td takes small value. As the increase of permanent droop bp, the stability of power regulation mode gets worse.