Design of Cascade Stilling Basins for High Dam Spillways

Vittal, Nandana; Porey, P. D.

doi:10.1061/(asce)0733-9429(1987)113:2(225)

Cited by 6 publications

(19 citation statements)

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“…The optimization results were compared with those of Vittal & Porey (1987) and showed that more significant cost savings in cascade stilling basin design could be obtained.…”

Section: Discussionmentioning

confidence: 99%

“…To force the jump in stilling basins, a control or crest, preferably with an ogee profile, is placed at the end of the basin. The required height of crest DZ(k) for jump formation and for the kth fall at the design discharge is given by Equation (9) (Vittal & Porey 1987). P max and P min are the maximum and minimum height of the falls calculated using the maximum and minimum pre-jump Froude numbers Fr 1max and Fr 1 min of the flow in the corresponding stilling basin, respectively, as follows:…”

Section: Hydraulic Constraintsmentioning

confidence: 99%

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Optimization of cascade stilling basins using GA and PSO approaches

Bakhtyar

Barry

2009

Journal of Hydroinformatics

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In high head dams, the kinetic energy at the spillway toe is very high and the tail-water depth available for energy dissipation is relatively small. Cascade stilling basins are energy dissipation systems for high head dams, the design of which is based on a trial-and-error procedure.Although such an approach yields feasible designs in which hydraulic and topographic considerations are met, there may exist many cost-effective designs. Therefore, optimization tools can help find the least construction cost while keeping hydraulic and topographic considerations satisfied. Particle Swarm Optimization (PSO) and Genetic Algorithms (GA) were used to determine the optimal design of cascade stilling basins in terms of the height of falls and length of stilling basins. The approach was evaluated by application to the design of an energy dissipation system for the Tehri Dam on the Bhagirathi River. Comparison of the proposed methods with dynamic programming and an alternative approach not utilizing an optimization tool revealed that GA and PSO lead to significant savings in the construction cost with less computational effort.

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“…The optimization results were compared with those of Vittal & Porey (1987) and showed that more significant cost savings in cascade stilling basin design could be obtained.…”

Section: Discussionmentioning

confidence: 99%

Section: Hydraulic Constraintsmentioning

confidence: 99%

Optimization of cascade stilling basins using GA and PSO approaches

Bakhtyar

Barry

2009

Journal of Hydroinformatics

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“…A procedure for the design of cascade stilling basins was first developed by Vittal and Porey (VP). 1 In this method, the important concept is that the height of the lowest fall is determined by the available river tailwater depth at design discharge, whereas the number of preceding equal-height falls is determined by the available distance for the spillway sections and stilling basins. The primary motivation for the development of the proposed model stems from the necessity of using an alternative to the VP method because of its non-optimality.…”

Section: Introductionmentioning

confidence: 99%

“…Section 2 provides a short discussion of the conventional method for the design of cascade stilling basins proposed by Vittal and Porey. 1 Section 3 reviews the current literature on ant algorithms. This is followed by a description of the proposed CAA for continuous domains in section 4.…”

Section: Introductionmentioning

confidence: 99%

“…The results indicate that the algorithm is capable of producing designs superior to the existing alternative method in all the cases considered. NOTATION c discharge coefficient Fr 1 pre-jump Froude number g acceleration due to gravity H 0 total fall H 0d total head over crest at design discharge H t height of terminal fall L length required to accommodate total spillway section and stilling basins L a available length at site L p length of stilling basin for preceding falls L t length of stilling basin for terminal fall m colony size N number of cascades P height of crest above stilling basin floor P t height of terminal crest above stilling basin floor q d unit design discharge x abscissa of spillway profile x p base width of spillway section for preceding falls x t base width of spillway section for terminal fall y ordinate of spillway profile y 1 pre-jump depth of flow y 2 conjugate depth of flow y td tailwater depth at design discharge Áz rise of crest Áz t depression of terminal stilling basin floor index of the aggregation of ants around the current minimum ðxÞ normal probability distribution function…”

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confidence: 99%

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Cascade stilling basin design using continuous ant algorithm

Afshar¹,

Daraeikhah²

2008

Proceedings of the Institution of Civil Engineers - Water Manag

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The application of a continuous ant algorithm for the optimal design of cascade stilling basins as a common means for energy dissipation is investigated. Ant colony optimisation (ACO) is a newly introduced metaheuristic algorithm for solving discrete optimisation problems. The algorithm is based on the behaviour of real ant colonies and has traditionally been used exclusively for solving problems in the discrete domain. Since the emergence of ant algorithms as an optimisation tool, some attempts have been made to use them for tackling continuous optimisation problems. This paper presents a specialised version of the ACO algorithm that is capable of searching continuous spaces and used for solving continuous optimisation problems. The objective is to investigate the efficiency of ACO by minimising the total cost of cascade stilling basin construction (a function of height of falls and length of the basin) while fulfilling hydraulic and topographical criteria. The proposed method is first tested against some well-known benchmark problems. The method is then used to optimally solve an engineering example (a cascade stilling basin, Tehri dam, India). The results are presented and compared with those of an existing conventional design method based on engineering judgement. The sensitivity of the proposed algorithm to the only parameter of the model is tested and the results are presented for the design example. The results indicate that the algorithm is capable of producing designs superior to the existing alternative method in all the cases considered.

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