Research on Hydropower Allocation Based on Multi-Objective Optimization and Bankruptcy Game Theory

Abstract

In recent decades, droughts have become more frequent and severe due to global warming, and the amount of water in dams and reservoirs has decreased in many regions. To alleviate the water shortage problem, we modeled the water allocation in dams to achieve the optimal combination of water and electricity. A multi-objective optimization model for water allocation in dams was developed. A grid method was used to rasterize the dams and calculate the reservoir capacity of the dams. The multi-objective optimization model was used to improve water distribution schemes in five states based on the collection of water and electricity consumption data from five states in recent years. The consumption time for water transport and power generation, as well as the amount of water supplied, is minimized while meeting the water supply and power demand and providing surplus water for Mexico. In the next step, game theory was used to solve the conflict problem of allocating water among the four uses and to transform the problem into a utility non-transferable game model. Considering the differences in water use by state, the states were typed into three categories: hydro, industrial and non-industrial states. Different weights were assigned to the four types of water use in different types of states, taking into account the different importance attached to different water use in different regions. The allocation results for the different states were obtained.