Reduced model for control in a hydroelectric unit at off-design operation

This paper describes the development of a reduced-order linear mathematical model of a hydroelectric unit subject to pressure perturbations in the draft tube of the hydraulic turbine, as it is the case at off-design operation (partial load or full load). The objective behind this development is to design a control algorithm able to attenuate the effect of these hydraulic pressure oscillations on the hydroelectric unit. First, we develop the reduced-order linear hydraulic model of the turbine and the pipes. Then this hydraulic model is combined with a reduced order model of a single machine infinite bus (SMIB) system. Finally we present simulation results of a controller designed with this model.