Abstract
Pressurized tree-type water distribution network (WDN) is widely used in rural water supply projects. Optimization of this network has direct practical significance to reduce the capital cost. This paper developed a discrete nonlinear model to obtain the minimum equivalent annual cost (EAC) of pressurized tree-type WDN. The pump head and pipe diameter were taken into account as the double decision variables, while the pipe head loss and flow velocity were the constraint conditions. The model was solved by using the improved decomposition–dynamic programming aggregation (DDPA) algorithm and applied to a real case. The optimization results showed that the annual investment, depreciation and maintenance cost (W1) were reduced by 22.5%; however, the pumps’ operational cost (p) increased by 17.9% compared to the actual layout. Overall, the optimal EAC was reduced by 15.2% with the optimized pump head and optimal diameter distribution of the network. This method demonstrated an intrinsic trade-off between investment and operational cost, and provided an efficient decision support tool for least-cost design of pressurized tree-type WDN.
Highlights
A water distribution network (WDN) is an essential infrastructure asset to satisfy the demand of consumers in water supply projects [1]
The annual investment, depreciation and maintenance cost (W 1 ) decreased sharply from 101,708 to 49,122 reimbursement coefficient of the investment (RMB). This was due to the optimization of the main pipe diameters, which accounted for up to 85% of total W 1
As equivalent annual cost (EAC) is the sum of W 1 and Y, the minimum EAC (W) was 64,085 RMB and the optimal hp was 97.15 m
Summary
A water distribution network (WDN) is an essential infrastructure asset to satisfy the demand of consumers in water supply projects [1]. In previous work on the optimization of tree-type WDNs, the decision variables, such as pipe diameter, pipe path and bifurcation angles, are generally discrete. Complex large-scale system a number of methods optimum solution forFor a simple network system with problems relatively with few optimization optimization variables, the curses of dimensionality and slow convergence are inevitable [18,19]. For complex large-scale system problems with a number of optimization variables, the the computational effort increases exponentially with the complexity of the considered curses of dimensionality and slow convergence are inevitable [18,19]. Paper,a nonlinear a nonlinear mathematical model, considering both head pump and pipe as decision variables, was established to address the optimization of pressurized tree-type. The algorithm provided effective discrete nonlinear problem of the large-scale network system. The algorithm provided effective theoretic support support and and application application reference reference in in decision-making decision-makingof ofpressurized pressurizedtree-type tree-typeWDNs
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