Improved fuzzy chance-constrained optimization of booster strategy for water distribution system under uncertainty
To sustain water quality in a water distribution system (WDS), disinfectant generally chlorine is boosted to the WDS. However, the concentration of chlorine should be limited to acceptable levels. The upper boundary of the range is set for preventing the occurrence of a disinfectant by-product, whic...
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IWA Publishing
2021
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oai:doaj.org-article:c5bd00173dd44b43aa79df577645ff232021-11-06T07:09:35ZImproved fuzzy chance-constrained optimization of booster strategy for water distribution system under uncertainty1606-97491607-079810.2166/ws.2020.354https://doaj.org/article/c5bd00173dd44b43aa79df577645ff232021-03-01T00:00:00Zhttp://ws.iwaponline.com/content/21/2/750https://doaj.org/toc/1606-9749https://doaj.org/toc/1607-0798To sustain water quality in a water distribution system (WDS), disinfectant generally chlorine is boosted to the WDS. However, the concentration of chlorine should be limited to acceptable levels. The upper boundary of the range is set for preventing the occurrence of a disinfectant by-product, which is harmful to human health. The lower boundary of the range is set for controlling the growth of microorganisms as well as reducing the injection mass. As such, an optimization model was applied to solve the water quality issue in a WDS. However, in a WDS, chlorine decays and varies with time and space, affected by pipe material, temperature, pH value, and chlorine injection, etc. Therefore, in this paper, an improved fuzzy chance-constrained optimization model was proposed to optimize chlorine injection and location to maintain chlorine in a WDS distributed uniformly. The proposed model was applied to two WDSs to analyze the effect of reliability level and preference parameters on chlorine injection and location. The results indicated that the injection mass increased with the increase in preference parameter. The results also indicated that more booster stations can lower the injection mass, and two booster stations were suitable for WDS in Case 2. The method proposed can be applied to decide how and where to inject chlorine in a WDS under uncertainty, and can help managers determine whether an optimistic or pessimistic attitude should be taken under various reliability levels. HIGHLIGHTS Fuzzy chance-constrained programming model proposed for chlorine injection determination.; mλ-measure method incorporated into fuzzy chance-constrained programming model with consideration of optimism and pessimism.; Effects of reliability level and preference parameter on injection mass are analyzed.; Help determine the location of booster stations.; Help managers determine what attitude should be taken.;Yumin WangGuangcan ZhuIWA Publishingarticlebooster chlorinationimproved fuzzy chance-constrained optimizationwater distribution systemWater supply for domestic and industrial purposesTD201-500River, lake, and water-supply engineering (General)TC401-506ENWater Supply, Vol 21, Iss 2, Pp 750-764 (2021) |
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DOAJ |
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EN |
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booster chlorination improved fuzzy chance-constrained optimization water distribution system Water supply for domestic and industrial purposes TD201-500 River, lake, and water-supply engineering (General) TC401-506 |
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booster chlorination improved fuzzy chance-constrained optimization water distribution system Water supply for domestic and industrial purposes TD201-500 River, lake, and water-supply engineering (General) TC401-506 Yumin Wang Guangcan Zhu Improved fuzzy chance-constrained optimization of booster strategy for water distribution system under uncertainty |
description |
To sustain water quality in a water distribution system (WDS), disinfectant generally chlorine is boosted to the WDS. However, the concentration of chlorine should be limited to acceptable levels. The upper boundary of the range is set for preventing the occurrence of a disinfectant by-product, which is harmful to human health. The lower boundary of the range is set for controlling the growth of microorganisms as well as reducing the injection mass. As such, an optimization model was applied to solve the water quality issue in a WDS. However, in a WDS, chlorine decays and varies with time and space, affected by pipe material, temperature, pH value, and chlorine injection, etc. Therefore, in this paper, an improved fuzzy chance-constrained optimization model was proposed to optimize chlorine injection and location to maintain chlorine in a WDS distributed uniformly. The proposed model was applied to two WDSs to analyze the effect of reliability level and preference parameters on chlorine injection and location. The results indicated that the injection mass increased with the increase in preference parameter. The results also indicated that more booster stations can lower the injection mass, and two booster stations were suitable for WDS in Case 2. The method proposed can be applied to decide how and where to inject chlorine in a WDS under uncertainty, and can help managers determine whether an optimistic or pessimistic attitude should be taken under various reliability levels. HIGHLIGHTS
Fuzzy chance-constrained programming model proposed for chlorine injection determination.;
mλ-measure method incorporated into fuzzy chance-constrained programming model with consideration of optimism and pessimism.;
Effects of reliability level and preference parameter on injection mass are analyzed.;
Help determine the location of booster stations.;
Help managers determine what attitude should be taken.; |
format |
article |
author |
Yumin Wang Guangcan Zhu |
author_facet |
Yumin Wang Guangcan Zhu |
author_sort |
Yumin Wang |
title |
Improved fuzzy chance-constrained optimization of booster strategy for water distribution system under uncertainty |
title_short |
Improved fuzzy chance-constrained optimization of booster strategy for water distribution system under uncertainty |
title_full |
Improved fuzzy chance-constrained optimization of booster strategy for water distribution system under uncertainty |
title_fullStr |
Improved fuzzy chance-constrained optimization of booster strategy for water distribution system under uncertainty |
title_full_unstemmed |
Improved fuzzy chance-constrained optimization of booster strategy for water distribution system under uncertainty |
title_sort |
improved fuzzy chance-constrained optimization of booster strategy for water distribution system under uncertainty |
publisher |
IWA Publishing |
publishDate |
2021 |
url |
https://doaj.org/article/c5bd00173dd44b43aa79df577645ff23 |
work_keys_str_mv |
AT yuminwang improvedfuzzychanceconstrainedoptimizationofboosterstrategyforwaterdistributionsystemunderuncertainty AT guangcanzhu improvedfuzzychanceconstrainedoptimizationofboosterstrategyforwaterdistributionsystemunderuncertainty |
_version_ |
1718443819980029952 |