Optimization of Cascade Pumping Stations’ Operations Based on Head Decomposition–Dynamic Programming Aggregation Method Considering Water Level Requirements

Aiming at the minimum power consumption for water pumping in a cascade pumping station system, we established a complex nonlinear mathematical model by taking optimized lift head and blade angle (or speed) of pump units as decision variables. The on-site optimal operation mode conforming to single-station water restriction was obtained by water decomposition–dynamic programming aggregation solution of the optimal operation model of pump stations under different discrete heads. After that, the constraint of total system lift head was considered. By taking lift heads of pump stations as decision variables, the original model was transformed into a one-dimensional dynamic programming aggregation model, which was solved by dynamic programming method. Through numerical simulation of unsteady flow in an interstage water channel, the optimal head distribution was modified to obtain optimal head distribution and unit optimization operation modes of pumping stations.