One-Dimensional Modeling of Rotor Stator Interaction in Francis Pump-Turbine

A one-dimensional hydroacoustic model is set up to perform the numerical simulation of the rotor-stator interaction of a Francis pump-turbine scaled model. The numerical results enable to identify both rotating diametrical modes in the vaneless gap between the 20 guide vanes interacting with the 9 rotating impeller blades and the standing waves in the spiral casing. Moreover, the simulations enlighten the interaction between these rotating diametrical modes and the standing waves. Finally, the parametric study of the influence of the guide vane thickness, the wave speed and rotational speed emphasizes the predominant role of the eigen frequencies of the hydraulic system.