Optimization of Layout and Pipe Sizes for Irrigation Pipe Distribution Network Using Steiner Point Concept

Abstract

In tropical countries like India, irrigation is necessary to grow crops in the nonmonsoon period. The conventional methodology for conveying irrigation water from the source to the field is through open canals. However, considering huge losses due to evaporation and percolation, a modern system of irrigation like pipe irrigation network (PIN) is desired. Advancement in technology has led to the progress in the PIN as they are compatible with modern irrigation facilities such as sprinkler and drip irrigation systems. In the present study, the layout of the PIN is designed and optimized in two phases. Initially, the looped network is traced out for the Bakhari distributary of the Kanhan Branch Canal, India. Minimum spanning tree (MST) network is obtained from the looped network using Prim's algorithm to calculate the nodal demands. The layout optimization of the MST is carried out using the Steiner concept to obtain the initial Steiner tree (IST). The steady-state hydraulic analysis and design are carried out for the looped and IST network. The results show that the percentage of length decreasing from the looped network to the MST network is 51.58%. The IST network is the optimized network having the minimum length showing a 12.21% length reduction compared to the MST network. The total reduction in the cost of the Steiner tree is found to be 4.25% compared to the looped network. Steiner concept application to large irrigation networks can reduce the length of the network thereby minimizing the total project cost.

Modeling and optimization of pressure and water age for evaluation of urban water distribution systems performance

“…This figure was changed after optimization to: 48.89% of pipe diameters were 100 mm, 60.71% of pipe diameters were 150 mm, 54.55% of pipe diameters were 200 mm, 46.88% of pipe diameters were 250 mm, 24% of pipe diameters were 300 mm, 50% of pipe diameters were 350 mm, 43.75% of pipe diameters were 400 mm, 50% of pipe diameters were 450 mm and 60% of pipe diameters were 600 mm. As the result of reduction in pipe sizes of the optimized design the cost reduction was brought ( Gajghate et al., 2021 ). This optimization of pipe diameter of water distribution system was done based on local commercially available pipe size.…”

Partitioning of Water Distribution Network into District Metered Areas Using Existing Valves

“…Recently, Liu et al [27] suggested a multi-staged, many-objective optimization methodology for DMAs identification. The first step was to identify the tree structure of the network using minimum spanning tree algorithm [28] and the second step used many objective optimization tool (BORG) to optimize structural and hydraulic objectives simultaneously. It has been observed from the literature that each new methodology proposed adds up a new set of partitioning parameters and hydraulic constraints.…”