Optimal Control of Water Distribution in a Typical Element of a Cascade of Structures of a Machine Canal Pump Station, Hydraulic Structure and Pump Station

The optimal control of water distribution in a typical elementof a cascade of structures of a machine canal has been developed hydraulic engineering structure -pumping station. The system of non-linear differential equations of Saint-Venant is used as a mathematical model of the discharge and supply canals of pumping stations, describing the unsteady flow of water in the canals. The criteria for optimal control of water distribution in a typical element of a cascade of machine canal structures are defined and necessary optimality conditions are developed for controls within the area of object limitations. The results are given in numerical experiments on the initial and optimal control of water distribution in a typical element of a cascade of a hydraulic structure -a pumping station.