Skip to main content
SpringerLink
Log in

Optimization methodology assessment for the inlet velocity profile of a hydraulic turbine draft tube: part I—computer optimization techniques

  • Published:
Journal of Global Optimization Aims and scope Submit manuscript

Abstract

In recent years, numerical and experimental investigations on the draft tube performance have confirmed the importance of the inlet swirling flow created by the runner vanes. The results indicate that it is still a challenge to get the optimal flow distribution at the draft tube inlet which gives the best machine performance over a range of operation points. Consequently, there is a need to adjust the runner-draft tube coupling to minimize the losses arising from the inlet flow distribution. This paper focus on establishing an optimization methodology for maximizing the draft tube performance as a function of the inlet velocity profile. The overall work is divides into two parts: The part one establish the inlet velocity parametrization, the numerical optimization set-up and the objective function definition. The part two validate the numerical CFD draft tube model. These steps are represented by the coupling of the commercial softwares MATLAB, FLUENT and iSIGHT. It is considered that this proved methodology will help to find a inlet velocity profile shape which will be able to suppress or mitigate the undesirable draft tube flow characteristics.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Andersson, U.: Test case T- some news results and updates since workshop 1. In: Proceedings of Turbine 99-WS2, The Second ERCOFTAC Workshop on Draft Tube Flow. Alvkarleby, Sweden (2001)

  2. Bergström, J.: Approximations of numerical errors and boundary conditions in a draft tube. In: Proceedings of Turbine 99 Workshop on Draft Tube Flow. Porjus Hydropower Center, Sweden (1999)

  3. Burman, J., Gebart, B., Mårtensson, H.: Developement of a blade geometry definition with implicit design variables. In: 38th AIAA Aerospace Sciences Mettingand Exhibit, Reno, N.Y, 0671 (2000)

  4. Cervantes M., Engström F.: Factorial design applied to CFD. J. Fluids Eng. 126, 791–798 (2004)

    Article  Google Scholar 

  5. Cervantes M., Gustavsson L.: On the use of squire-long equation to estimate radial velocities in swirling flows. J. Fluids Eng. 129(February), 209–217 (2007)

    Article  Google Scholar 

  6. Coley D.: An Introduction to Genetic Algorithms for Scientists and Engineers. World Scientific Publishing, Singapore (1999)

    Google Scholar 

  7. Eisinger, R., Ruprecht, A.: Automatic shape optimization of hydro turbine components based on CFD. In: Seminar on CFD for Turbomachinery Applications, Gdansk, v2001-05 (2001). http://www.ihs.uni-stuttgart.de/forschung/veroeff/stroem/v2001_05.pdf

  8. Eklund S.: A massively parallel architecture for distributed genetic algorithms. Science@Direct. Parallel Comput. 30(5–6), 647–676 (2004)

    Article  Google Scholar 

  9. Enomoto, Y.: Design optimization of a Francis turbine runner using multi-objective genetic algorithm. In: 22nd IAHR Symposium on Hydraulic Machinery and Systems, Stockholm, Sweden, June 29-July 2, vol. A01–2 pp. 1–10 (2004)

  10. Fan H.Y.: An inverse design method of diffuser blades by genetic algorithms. Proc. Inst. Mech. Eng. Part A J. Power Energy 112(4), 261–268 (1998)

    Article  Google Scholar 

  11. Fluent Inc.: Fluent 6.1 User’s Guide. Fluent Inc. (2003)

  12. Galván, S.: Optimization of the inlet velocity profile of the turbine 99 draft tube. Ph.D. thesis, École Polytechnique de Montréal. (2007)

  13. Galván, S., Page, M., Guibault F.and Reggio, M.: Numerical validation of different CFD k-e turbulent models using FLUENT code. In: Turbine-99 III, Proceedings of the third IAHR/ERCOFTAC Workshop on the Draft Tube Flow, 8–9 December 2005, Porjus Sweden. paper 4 (2005)

  14. Hiroyasu, T., Miki, M., Negami, M.: Distributed genetic algorithms with randomized migration rate. In: Systems, Man, and Cybernetics, 1999. IEEE SMC ’99 Conference Proceedings, vol. 1, pp. 689–694. Tokyo Japan (1999)

  15. Engenious Software Inc. iSight Version 9.0 Reference Guide

  16. Jae-Yong, K., Afshin, J., Clement, T., F., G.: Comparison of near-wall treatment methods for high reynolds number backward-facing step flow. Int. J. Comput. Fluid Dyn. 19(7), 493–500(2005)

  17. Kazan, M.: Étude de l’écoulement à à la sortie d’une roue Francis. Ph.D. thesis, École Polytechnique de l’Université de Lausanne. (1962)

  18. Lèonard, O., Rothilde, A., Duysinx, P.: Compressor and turbine blade design by optimization. In: Proceedings of the Third World Congress of Structural and Multidisciplinary Optimization WCSMO3, Buffalo, USA, 43-EOA3-1 (1999)

  19. Lindgren, M.: Automatic shape optimization of hydropower flows: the draf tube. Master’s thesis, Luleä University of Technology, Luleå, Sweden (2002)

  20. Lipej A., Poloni C.: Design of Kaplan runner using multiobjective genetic algorithm optimization. J. Hydraul. Res. 38(1), 73–79 (2000)

    Article  Google Scholar 

  21. Madsen J., Shyy W., Haftka R.: Response surface techniques for diffuser shape optimization. AIAA J. 38(9), 1512–1518 (2000)

    Article  Google Scholar 

  22. Marjavaara, D., Lundström, T.: Shape optimization of a hydropower draft tube. In: 22nd IAHR Symposium on Hydraulic Machinery and Systems. Design Methods Turbines. Stockholm Sweden, vol. A03-2 (2004)

  23. Marjavaara D., Lundström T.: Redesign of a sharp heel draft tube by a validated CFD-optimization. Int. J. Numer. Methods Fluids 50, 911–924 (2005)

    Article  Google Scholar 

  24. Massé, B., Page, M., Grioux, A., Magnan, R.: Improving Efficiency of a 195 MW Francis turbine using numerical simulation tools. CFD–F08

  25. The MathWorks Inc., MATLAB, version 7.1.0.183 (R14). http://www.mathworks.com/productsmatlab (2010)

  26. Mauri, S., Kueny, J., Avellan, F.: Flow simulation in an elbow diffuser: verification and validation. In: Proceedings of the Hydraulic Machinery and Systems XXIst IAHR Symposium, Lausanne (2002)

  27. Mengistu, T., Ghaly, W.: Global optimization methods for the aerodynamic shape design of transonic cascades. In: Proceedings of the 11th CFD Conference of the Canadian Society of CFD, Vancouver, BC, vol. 1, pp. 238–243 (2003)

  28. Miki, M., Hiroyasu, T., Kaneko, M., Hatanaka, K.: A parallel genetic algorithm with distributed environment scheme. In: Systems, Man, and Cybernetics, 1999. IEEE SMC ’99 Conference Proceedings, vol. 1, pp. 695–700. Tokyo, Japan (1999)

  29. Muntean, S., Susan-Resiga, R., Bernard, S., Anton, I.: 3D turbulent flow analysis of the GAMM Francis turbine for variable discharge. In: 22nd IAHR Symposium on Hydraulic Machinery and Cavitation. Stockholm, Sweden (2004)

  30. Nechleba, M.: Hydraulic turbines their design and equipment. Artia, c1957, Prague Czechoslovakia (1957)

  31. Oyama, A., Liou, M., Obayashi, S.: Transonic axial-flow blade shape optimization using evolutionary algorithm and three-dimensional Navier-Stokes solver. In: 9th AIAA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Atlanta, Georgia, vol. AIAA 2002-5642 (2002)

  32. Peng G., Cao S., Ishizuca M., Hayama S.: Design optimization of axial flow hydraulic turbine runner; part II - multi - objective constrained optimization method. Int. J. Numer. Meth. Fluids 39, 533–548 (2002)

    Article  Google Scholar 

  33. Puente, L., Reggio, M., Guibault, F.: Automatic shape optimization of a hydraulic turbine draft tube. In: CFD 2003: The Eleventh Annual Conference of the CFD Society of Canada, Vancouver, BC (2003). http://tetra.mech.ubc.ca/CFD03/papers/paper29PB1.pdf

  34. Ruiz, E.: Polyfit Software. Chaire de Recherche sur le Composite Haute Performance CCHP, École Polytechnique de Montréal (2004)

  35. Ruprecht, A., Eisinger, R., Göde, E.: Innovative design environments for hydro turbine components. In: HYDRO 2000, Bern, v2000-05 (2000). http://www.ihs.uni-stuttgart.de/forschung/veroeff/stroem/v2000_05.pdf

  36. Ruprecht, A., Eisinger, R., Göde, E., Rainer, D.: Virtual numerical test bed for intuitive design of hydro turbine components. In: Hydropower into the Next Century, Gmunden, Austria, v1999-04 (1999). http://www.ihs.uni-stuttgart.de/forschung/veroeff/stroem/v1999_04.pdf

  37. Susan-Resiga R., Ciocan G., Anton I., Avellan F.: Analysis of the swirling flow downstream a Francis turbine runner. J Fluids Eng. 128, 177–189 (2006)

    Article  Google Scholar 

  38. Swiderski, J., Martin, J., Norrena, R.: Automated runner blade design optimization process based on CFD verification. In: Waterpower XII, Utah USA, July 9 (2001)

  39. Tomas, L., Pedretti, C., Chiappa, T., François, M., Stoll, P.: Automated design of a Francis turbine runer using global optimization algorithms. In: Proceedings of the XXIst IAHR Symposioum on Hydraulic Machinery and Systems, Lausanne, (2002)

  40. Zangeneh M., Goto A., Harada H.: On the role of three-dimensional inverse design methods in turbomachinery shape optimization. Proc. Inst. Mech. Eng. Part C J. Mech. Eng. Sci 213(1), 27–42 (1999)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mechanical Engineering Department, Universidad Michoacana de Sán Nicolás de Hidalgo, Apdo. Postal 588, Morelia, Michoacán, CP 58000, México

    Sergio Galván, Carlos Rubio, Jesús Pacheco & Crisanto Mendoza

  2. SEPI-ESIME Unidad Profesional “Adolfo López Mateos”, Instituto Politécnico Nacional, Av. IPN s/n, Col. Lindavista, 07738, México, D.F., México

    Miguel Toledo

Authors
  1. Sergio Galván
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Carlos Rubio
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jesús Pacheco
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Crisanto Mendoza
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Miguel Toledo
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Sergio Galván.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Galván, S., Rubio, C., Pacheco, J. et al. Optimization methodology assessment for the inlet velocity profile of a hydraulic turbine draft tube: part I—computer optimization techniques. J Glob Optim 55, 53–72 (2013). https://doi.org/10.1007/s10898-012-9946-8

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10898-012-9946-8

Keywords

Search

Navigation