Double dam coordination model based on Lake Mead and Lake Powell

Abstract

With climate change, water supply from dams and reservoirs is decreasing in many regions. For centuries, people have built dams on rivers and streams to hold back water, and reservoirs have been built as a means of managing water supply. In this paper, we established a double-dam coordination and cooperation model. We abstracted the lake into a cuboid, and established a physical model of hydropower supply and demand based on the water levels of Lake Mead and Lake Powell. Next, we established a hydropower conversion rate model, taking into account The cooperation between the power stations has established a short-term optimal scheduling mathematical model of the hydropower system. Through the constraints, we have reached the relationship between the hydropower conversion efficiency and the lake water level. We established a short-term optimal scheduling model for hydropower systems, which addresses t he competing interests of general agricultural, industrial residential water use and water availability for water power and electricity production. The electric energy is the largest and the unification of the rules that the electric energy is the largest and the water consumption is the smallest is realized. Combined with the water consumption constraints of the target power station, the water balance constraints of the reservoirs of each hydropower station, and the reservoir capacity constraints, the water level height reduction model is established. On the basis of the previous model, we established an optimization model based on particle swarm optimization, and brought it into matlab for simulation through particle swarm optimization, and calculated the hydropower conversion efficiency of Lake Mead and Lake Powell with the height of the water level under constraints.