The objective design of triangular bucket for dam's spillway using Non-dominated Sorting Genetic Algorithm II: NSGA-II

Authors

1 Faculty of Civil and Environmental Engineering, Tarbiat Modares University, Tehran, Iran

2 Faculty of Electrical and Computer Engineering, Babol University of Technology, Babol, Iran

3 Water Engineering Research Institute, Faculty of Civil and Environmental Engineering, Tarbiat Modares University, Tehran, Iran.

Abstract

Ski jump is one of the most e ective structures in energy dissipation over spillways. Spillways have long been of practical importance to safety of dams. The major criteria in hydraulic design are based on the analytical and empirical methods. In the current study, in order to increase chute spillway eciency, a multi-objective evolutionary algorithm known as the Non-dominated Sorting Genetic Algorithm II (NSGA-II) has been utilized to design the optimal triangular bucket angle and chute width. In design method, two separate objective functions have been used. In the rst objective function, equations of dynamic pressure of the bucket, the jet length after bucket, and the scour depth have been used. The second objective function is related to construction volume of chute spillway. For calibrating the rst objective function, characteristics of Karoon III dam have been used as a case study. The di erence between design parameters of Karoon III spillway and those from NSGA-II algorithm method is less than 12 percent. According to the results, if the jet length is considered as the most impressive parameter in the rst objective function, design of the spillway becomes frugal.

Keywords

References

References:
1. Vischer, D.L. and Hager, W.H. "Energy dissipators", IAHR Hydr. Struct. Des. Manual 9, Balkema, Rotterdam, the Netherlands (1995).
2. Juon, R. and Hager, W.H. "Flip bucket without and with deflectors", Journal of Hydraulic Engineering, 126(11), pp. 837-845, (2000). DOI: 10.1061/(ASCE)0733-9429(2000)126:11(837).
3. Heller, V., Hager, W.H. and Minor, H.-E. "Ski jump hydraulics", J. Hyd. Eng., 131(5), pp. 347-355 (2005). DOI: 10.1061/ (ASCE) 0733-9429(2005)131:5(347).
4. Steiner, R., Heller, V., Hager, W.H. and Minor, H.-E. "Deflector ski jump hydraulics", Journal of Hydraulic Engineering, 134(5), pp. 562-571 (2008). DOI: 10.1061/(ASCE)0733-9429(2008)134:5(562).
5. Pfister, M. "Chuteaerators: Air transport due to internal flow features (Schussrinnenbelufter: Lufttransport ausgelost durch interne b ussstruktur)", Laboratory of Hydraulics, Hydrology and Glaciology (VAW), H.-E. Minor, Ed., ETH: Zurich (in German) (2008).
6. Pfister, M. "Jet impact angle on chute downstream of aerator", Proc., 4th IAHR Int., Symp., on Hydraulic Structures, Porto, Portugal (2012).
7. Hojjati, S.H. "Numerical investigation of flow hydraulics in triangular flip buckets", M.S. Thesis, Tarbiat Modares University, Tehran, Iran (2013).
8. Azamathulla, H.MD., Ghani, A.AB., Zakaria, N.A., Lai, S.H., Chang, C.K., Leow, C.S. and Abuhasan, Z. "Genetic programming to predict ski-jump bucket spill-way scour", Journal of Hydrodynamics, Ser. B, 20(4), pp. 477-484, (2008). DOI: 10.1016/S1001- 6058(08)60083-9.
9. Srinivas, N. and Deb, K. "Multi-objective function optimization using non-dominated sorting genetic algorithms", Evolutionary Computation, 2(3), pp. 221- 248 (1995).
10. Deb, K., Agrawal, S., Pratap, A. and Meyarivan, T. "A fast elitist non-dominated sorting genetic algorithm for multi-objective optimization: NSGA-II", Lecture Notes in Computer Science 1917/2000, pp. 849-858 (2000). DOI: 10.1007/3-540-45356-3 83.
11. Reddy, M.J. and Kumar, D.N. "Multi-objective differential evolution with application to reservoir system optimization", Journal of Computing in Civil Engineering, 21(2), pp. 136-146 (2007). DOI:10.1061/(ASCE)0887-3801(2007)21:2(136).
12. Zahraie, B. and Tavakolan, M. "Stochastic timecost- resource utilization optimization using nondominated sorting genetic algorithm and discrete fuzzy sets", Journal of Construction Engineering and Management, 135(11), pp. 1162-1171 (2009). DOI: 10.1061/(ASCE)CO.1943-7862.0000092.
13. Malekmohammadi, B., Zahraie, B. and Kerachian, R. "Ranking solutions of multi-objective reservoir operation optimization models using multi-criteria decision analysis", Expert Systems with Applications, 38(6), pp. 7851-7863 (2011).
14. Behzadian, K., Alimohammadnejad, M., Ardeshir, A., Jalilsani, F. and Vasheghani, H. "A novel approach for water quality management in water distribution systems by multi-objective booster chlorination", International Journal of Civil Engineering, 10(1), pp. 51-60 (2012).
15. Goldberg, D.E. "Genetic algorithms in search", Optimization and Machine Learning, ISBN: 0-201-15767-5 (1998).
16. Water. Res. Center. "Final report on: Hydraulic model study on Karoon III spillway" Rep. No. 198, Tehran, Iran (1996).
17. Sen, P. "Spillway scour and design of plunge pool", Water and Energy International, 41(1), pp. 51-68 (1984).
Scientia Iranica
Volume 24, Issue 1 - Serial Number 1
Transactions on Civil Engineering (A)
January and February 2017
Pages 19-27

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