Multi-objective optimization of stepped spillway and stilling basin dimensions
In the present paper, an optimization procedure is proposed for stepped spillway design dimensions, which leads to maximum energy dissipation rate and minimum construction cost, considering independently the chute cost and stilling basin cost. Three independent objective functions are thus simultane...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
IWA Publishing
2022-01-01
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| Series: | Water Supply |
| Subjects: | |
| Online Access: | http://ws.iwaponline.com/content/22/1/766 |
| _version_ | 1818319122570674176 |
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| author | Fatiha Lebdiri Abdelghani Seghir Ali Berreksi |
| author_facet | Fatiha Lebdiri Abdelghani Seghir Ali Berreksi |
| author_sort | Fatiha Lebdiri |
| collection | DOAJ |
| description | In the present paper, an optimization procedure is proposed for stepped spillway design dimensions, which leads to maximum energy dissipation rate and minimum construction cost, considering independently the chute cost and stilling basin cost. Three independent objective functions are thus simultaneously satisfied. The procedure involves four main tools: the multi-objective particle swarm optimization method (MOPSO) to find Pareto solutions in one run, the K-means clustering algorithm to reduce the size of the obtained non-dominated solutions, the pseudo-weight vector approach (PWV) to facilitate the decision making and to select some adequate solutions, and finally, CFD simulations to analyze the retained optimal solutions. The suitability of the proposed procedure is tested through an example of application. As results, a set of 20 solutions with different satisfaction levels is found and compared to existing solutions. A multi-objective optimization problem may have many different solutions; the originality of the present work lies in the proposed procedure, which explores several possible solutions and reduces their number to give help to the decision making. Furthermore, an approximate expression of spillway total cost is also derived as a function of flow energy dissipation rate. HIGHLIGHTS
A novel procedure is proposed for stepped spillway design optimization.;
Three objective functions are minimized: the rate of residual energy, the chute construction cost, and the stilling basin construction cost.;
MOSPO, K-means algorithm, pseudo-weight vector approach, and CFD are implemented.;
An expression of the total construction cost as a function of flow energy dissipation rate is derived.; |
| first_indexed | 2024-12-13T10:04:06Z |
| format | Article |
| id | doaj.art-f99b7604776a4635a869f8e25acef0a7 |
| institution | Directory Open Access Journal |
| issn | 1606-9749 1607-0798 |
| language | English |
| last_indexed | 2024-12-13T10:04:06Z |
| publishDate | 2022-01-01 |
| publisher | IWA Publishing |
| record_format | Article |
| series | Water Supply |
| spelling | doaj.art-f99b7604776a4635a869f8e25acef0a72022-12-21T23:51:35ZengIWA PublishingWater Supply1606-97491607-07982022-01-0122176677810.2166/ws.2021.231231Multi-objective optimization of stepped spillway and stilling basin dimensionsFatiha Lebdiri0Abdelghani Seghir1Ali Berreksi2 Research Laboratory of Applied Hydraulics and Environment (LRHAE), Department of Hydraulics, Faculty of Technology, University of Bejaia, Targua Ouzemour, 06000 Bejaia, Algeria Research Laboratory of Applied Hydraulics and Environment (LRHAE), Department of Hydraulics, Faculty of Technology, University of Bejaia, Targua Ouzemour, 06000 Bejaia, Algeria Research Laboratory of Applied Hydraulics and Environment (LRHAE), Department of Hydraulics, Faculty of Technology, University of Bejaia, Targua Ouzemour, 06000 Bejaia, Algeria In the present paper, an optimization procedure is proposed for stepped spillway design dimensions, which leads to maximum energy dissipation rate and minimum construction cost, considering independently the chute cost and stilling basin cost. Three independent objective functions are thus simultaneously satisfied. The procedure involves four main tools: the multi-objective particle swarm optimization method (MOPSO) to find Pareto solutions in one run, the K-means clustering algorithm to reduce the size of the obtained non-dominated solutions, the pseudo-weight vector approach (PWV) to facilitate the decision making and to select some adequate solutions, and finally, CFD simulations to analyze the retained optimal solutions. The suitability of the proposed procedure is tested through an example of application. As results, a set of 20 solutions with different satisfaction levels is found and compared to existing solutions. A multi-objective optimization problem may have many different solutions; the originality of the present work lies in the proposed procedure, which explores several possible solutions and reduces their number to give help to the decision making. Furthermore, an approximate expression of spillway total cost is also derived as a function of flow energy dissipation rate. HIGHLIGHTS A novel procedure is proposed for stepped spillway design optimization.; Three objective functions are minimized: the rate of residual energy, the chute construction cost, and the stilling basin construction cost.; MOSPO, K-means algorithm, pseudo-weight vector approach, and CFD are implemented.; An expression of the total construction cost as a function of flow energy dissipation rate is derived.;http://ws.iwaponline.com/content/22/1/766energy dissipationoptimizationpareto optimal solutionstepped spillway |
| spellingShingle | Fatiha Lebdiri Abdelghani Seghir Ali Berreksi Multi-objective optimization of stepped spillway and stilling basin dimensions Water Supply energy dissipation optimization pareto optimal solution stepped spillway |
| title | Multi-objective optimization of stepped spillway and stilling basin dimensions |
| title_full | Multi-objective optimization of stepped spillway and stilling basin dimensions |
| title_fullStr | Multi-objective optimization of stepped spillway and stilling basin dimensions |
| title_full_unstemmed | Multi-objective optimization of stepped spillway and stilling basin dimensions |
| title_short | Multi-objective optimization of stepped spillway and stilling basin dimensions |
| title_sort | multi objective optimization of stepped spillway and stilling basin dimensions |
| topic | energy dissipation optimization pareto optimal solution stepped spillway |
| url | http://ws.iwaponline.com/content/22/1/766 |
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