Skip to main content
Log in

Aerodynamic optimisation of a low-pressure multistage turbine using the response-surface method

  • Published:
Journal of Mechanical Science and Technology Aims and scope Submit manuscript

Abstract

Steam turbine plays an important role in the power-generation industry. The power output of the low-pressure (LP) cylinder accounts for about 50% of the total power output of a steam turbine. Therefore, improving the efficiency of the LP cylinder is important. The response-surface method is used in this work to optimise the seven-stage turbine in the LP cylinder of a 600 MW steam turbine. The LP cylinder’s efficiency is chosen as the objective function and the samples needed to establish the response surface are obtained by solving the three-dimensional Navier-Stokes equations with the ANSYS CFX. The stators’ stagger angles and stacking lines are selected as the design variables. The former is determined to redistribute the enthalpy drop among turbine stages more reasonably and the latter is used to improve each stage’s efficiency by forming bent and twisted stators. The efficiency and power of this LP cylinder are increased by 0.43% and 0.72%, respectively. Meanwhile, the mass flow rate is maintained nearly unchanged.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. D. E. Goldberg, Genetic algorithms in search, optimization, and machine earning, Addison-Wesley (1989).

    Google Scholar 

  2. A. Oyama, MS. Liou and S. Obayashi, Transonic axial-flow blade shape optimization using evolutionary algorithms and three-dimensional Navier-Stokes solver, AIAA, (2002) 2002–5642.

    Google Scholar 

  3. M. R. Hestenes and E. Stiefel, Methods of conjugate gradients for solving linear systems, Journal of Research of the National Bureau of Standards, 49(6) (1952) 409–436.

    Article  MathSciNet  MATH  Google Scholar 

  4. K. Kosowski, K. Tucki and A. Kosowski, Application of artificial neural networks in investigations of steam turbine cascades, ASME J. Turbomach., 132(1) (2010).

    Google Scholar 

  5. T. W. Simpson, T. M. Mauery, J. Korte and F. Mistree, Kriging models for global approximation in simulationbased multidisciplinary design optimization, AIAA Journal, 39(12) (2001) 2233–2241.

    Article  Google Scholar 

  6. G. V. Reklaitis, A. Ravindran and K. M. Ragsdell, Engineering optimization: methods and applications, Wiley, New York. (1983).

    Google Scholar 

  7. G. E. P. Box and K. B. Wilson, On the experimental attainment of optimum conditions, Journal of the Royal Statistical Society, Series B (methodological), 13(1) (1951) 1–45.

    MathSciNet  MATH  Google Scholar 

  8. S. Kim, J. Park, K. Ahn and J. Baek, Numerical investigation and validation of the optimization of a centrifugal compressor using a response surface method, Proc. IMechE Part A: J. Power and Energy, 224(2) (2010) 251–259.

    Article  Google Scholar 

  9. C. M. Jang and K. Y. Kim, Optimization of a stator blade using response surface method in a single-stage transonic axial compressor, Proc. IMechE Part A: J. Power and Energy, 219(8) (2005) 595–603.

    Article  Google Scholar 

  10. F. Rubechini, A. Schneider, A. Arnone, S. Cecchi and F. Malavasi, A redesign strategy to improve the efficiency of a 17-stage steam turbine, ASME J. Turbomach., 134(3) (2012).

    Google Scholar 

  11. C. Cravero and P. Macelloni, Design optimization of a multistage axial turbine using a response surface based strategy, In 2nd International Conference on Engineering Optimization, Lisbon, Portugal, (2010).

    Google Scholar 

  12. B. Chen and X. Yuan, Advanced aerodynamic optimization system for turbomachinery, ASME J. Turbomach., 130(2) (2008).

    Google Scholar 

  13. B. R. Haller, R. G. Unsworth, P. T. Walters and M. J. Lord, Wetness measurements in a model multistage low pressure steam turbine, Proceedings of the BNES Conference on Technology of turbine plant operating with wet steam, London, (1988) 161–169.

    Google Scholar 

  14. ANSYS Inc. ANSYS CFX 11.0 User Manual (2008).

  15. W. Wagner and A. Kruse, Properties of water and steam: the industrial standard IAPWS-IF97 for the thermodynamic properties and supplementary equations for other properties: tables based on these equations, Springer-Verlag, Berlin (1998).

    Google Scholar 

  16. G. E. P. Box and N. R. Draper, Empirical model building and response surfaces, John Wiley & Sons. New York (1987).

    MATH  Google Scholar 

  17. R. M. Myers, D. C. Montgomery and C. M. Anderson-cook, Response surface methodology: process and product optimization using designed experiments, Third Ed. John Wiley & Sons. New York, (2009).

    Google Scholar 

  18. A. G. Gerber, R. Sigg, L. Volker, M. V. Casey and N. Surken, Predictions of non-equilibrium phase transition in a model low-pressure steam turbine, Proc. IMechE Part E: J. Power and Energy, 221(6) (2007) 825–835.

    Article  Google Scholar 

  19. R. Sigg, C. Heinz, M. V. Casey and N. Surken, Numerical and experimental investigation of a low-pressure steam turbine during windage, Proc. IMechE Part A: J. Power and Energy, 223(6) (2009) 697–708.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Liang Li.

Additional information

Recommended by Associate Editor Tong Seop Kim

Yu Li is a Ph.D. candidate in Institute of Turbomachinery, School of Energy and Power Engineering, Xi’an Jiaotong University. His research fields include wet steam condensing flow, multistage turbine analysis, optimisation method and wetness loss calculation.

Liang Li received his Ph.D. degree in Power Engineering and Engineering Thermophysics from Xi’an Jiaotong University in 2002. He is now an associate professor at the School of Energy and Power, Xi’an Jiaotong University in Xi’an, China. His research interests include thermodynamics of steam turbine, wet steam and moist air flows with non-equilibrium condensation.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Li, Y., Li, L., Zhao, T. et al. Aerodynamic optimisation of a low-pressure multistage turbine using the response-surface method. J Mech Sci Technol 27, 2537–2546 (2013). https://doi.org/10.1007/s12206-013-0638-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-013-0638-1

Keywords

Navigation