The problem of optimal design of a looped water distribution network (WDN) can be simplified by assigning the flows in various pipes. Since least cost design, converts any looped WDN to branching tree, several researchers suggested heuristic approaches to convert a loop network into a branching network. Pipes omitted in branching tree are designed to carry some minimum flow and those retained are designed to carry major flows in an attempt to maintain the looped nature of the network while minimizing the cost. Such networks fails to perform well during failure of main pipes as alternate path may not have sufficient capacity. In order to improve the performance and reduce the impact of failure of any pipe of the network, Chiong (1985) suggested assigning pipe flows under maximization of their uniformity. To maximize flow uniformity, the set of pipe flows are assumed as a statistical series and are calculated so as to minimize the variance of the series subject to satisfying the constraints of node flow continuity (Martinez 2007). Martinez (2007) showed through a simple illustration that there is a unique flow-distribution for minimum variance and suggested an analytical method. In this study, it is found that condition used in analytical method is not sufficient. A complete NLP problem for minimum variance of flow series is formulated and solved using Genetic Algorithm. The value of variance of flow series is observed to be less using GA as compared to that obtained by analytical method.
|State||Published - 2018|
|Event||1st International Joint Conference in Water Distribution Systems Analysis and Computing and Control in the Water Industry, WDSA/CCWI 2018 - Kingston, Canada|
Duration: Jul 23 2018 → Jul 25 2018
|Conference||1st International Joint Conference in Water Distribution Systems Analysis and Computing and Control in the Water Industry, WDSA/CCWI 2018|
|Period||7/23/18 → 7/25/18|
Bibliographical notePublisher Copyright:
© 2018 1st International WDSA / CCWI 2018 Joint Conference. All rights reserved.
- Water Distribution Network
ASJC Scopus subject areas
- Computer Science Applications
- Water Science and Technology