Analysis of Water Distribution System under Uncertainty Based on Genetic Algorithm and Trapezoid Fuzzy Membership
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Volume 12, Issue 4
Abstract
In most studies of hydraulic simulation of water distribution systems (WDS), the uncertain input parameters such as nodal demands, pipe roughness coefficients, pipe diameters, water levels in reservoirs, and pump characteristics usually are considered to be fuzzy, with triangular distribution membership functions. In this paper, pipe roughness coefficients were considered to be fuzzy parameters affecting pipe flows and nodal pressures due to their significant effects on hydraulic simulation, and trapezoid distribution membership functions instead of triangular distribution membership functions were considered for pipe roughness coefficients. At each -cut level of roughness coefficients, a genetic algorithm (GA) was applied to obtain the minimum and maximum pipe flows and nodal pressures. The proposed method was applied to four networks to analyze the fuzziness of pipe flows and nodal pressures based on two parameters, dispersion degree and relative flat line rate. This study will help in the fuzziness analysis of hydraulic simulation results in WDS under uncertain pipe roughness coefficients.
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Data Availability Statement
All data, models, and code generated or used during the study appear in the published article.
Acknowledgments
This work was funded by the Natural Science Foundation of Jiangsu Province (Grant No. BK20191147). This work also was funded by the Water Pollution Control Project in Taihu (Grant No. TH2018403). This work was funded by the Jiangsu Overseas Visiting Scholar Program for University Prominent Young & Middle-aged Teachers and Presidents (2017). The authors acknowledge the USEPA for supplying EPANET software, which was downloaded freely from its website.
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Journal of Pipeline Systems Engineering and Practice
Volume 12 • Issue 4 • November 2021
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© 2021 American Society of Civil Engineers.
History
Received: Nov 6, 2020
Accepted: Apr 20, 2021
Published online: Jul 15, 2021
Published in print: Nov 1, 2021
Discussion open until: Dec 15, 2021
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