Sensitivity analysis of underwater control system based on IA-PSO

Abstract

In the southwestern United States, Lakes Powell and Lake Mead are taking the responsibility of supplying water and generating electricity to the surrounding five states of Arizona (AZ), California (CA), Wyoming (WY), New Mexico (NM), and Colorado (CO). Accordingly, we have established three models, and have established them and conducted sensitivity analysis combined with changes of various conditions in reality. In combination with multiple water supply needs, Model 1 optimizes the economic benefits from water and power supply of the five states as objective functions. In setting the constraints, the model takes into account such factors as water balance, minimum demand for water and power supplies, lake level requirements, and issues of sovereignty in downstream Mexico. Considering the influence of seasons on various factors, the decision variables are the water supply flow and power supply flow of each state on a quarterly basis. When solving the model, IA-PSO is used for optimization, reducing the possibility of local optimal solution.The optimization result is the optimal distribution of the power and water supply flows provided by the two lakes to the states over the four quarters of a year. In the case of CO,when the supply exceeds the demand, the time to provide the optimized water supply flow to meet its one-quarter water consumption demand is calculated to be 57.5 days; while when the supply fails to meet the demand, the additional water supplement required is 0.8×109m3.