Development and application of a compensative regulation linear programming model for reservoir flood-control

Flood compensative regulation is the fundamental principle of reservoir flood-control planning and real-time operation, while the solution to the flood compensative regulation mathematical model is heavily restricted by the modeling methods and the aftereffect. In a basic flood control system consisting of a reservoir and a flood control station, the objective function transforms from minimizing the flood control volume to minimizing the cumulative water storage. The transformation is based on the stage division of operation and the analysis of outflow limits upon which a linear programming model of Reservoir Flood Compensative Regulation (RFCR-LP) has been established. This model couples the operational decisions and downstream routing methods, which avoids the aftereffect accompanying conventional methods for a multi-stage decision. The RFCR-LP is a simple structure that is easy to solve, and it unifies the optimal mathematical model between flood-control planning and real-time operation, which forms a multi-function and full-cycle model for reservoir flood-control compensative regulation. The proposed model promotes an efficient solution for complex system modeling. The feasibility, flexibility and stability of the RFCR-LP has been verified by the case study.