Optimal Design Method of Looped Water Distribution Network

Abstract

The new procedure, in which the minimum annual cost (or investment) is used as the objective function, is presented to optimize looped water distribution network, combining the quadric orthogonal circumrotation regression design, the quadratic programming and the linear programming together. First, the flow distribution schemes are set down by means of quadric orthogonal circumrotation regression design. The annual cost of each flow distribution scheme is determined by linear programming and the quadric multiple regression equation between the annual cost and the pipe segment flows is established. Second, the optimal flow distribution scheme in which the quadric multiple regression equation is used as the objective function is determined by the quadratic programming. Finally, the optimal design of looped network is determined by linear programming based on the optimal flow distribution scheme. The procedure can be used to optimize the single resource looped network with pump station and gravity.