Skip to main content
Log in

Reliability-based design optimization of axial compressor using uncertainty model for stall margin

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

Abstract

Reliability-based design optimization (RBDO) of the NASA stage 37 axial compressor is performed using an uncertainty model for stall margin in order to guarantee stable operation of the compressor. The main characteristics of RBDO for the axial compressor are summarized as follows: First, the values of mass flow rate and pressure ratio in stall margin calculation are defined as statistical models with normal distribution for consideration of the uncertainty in stall margin. Second, Monte Carlo Simulation is used in the RBDO process to calculate failure probability of stall margin accurately. Third, an approximation model that is constructed by an artificial neural network is adopted to reduce the time cost of RBDO. The present method is applied to the NASA stage 37 compressor to improve the reliability of stall margin with both maximized efficiency and minimized weight. The RBDO result is compared with the deterministic optimization (DO) result which does not include an uncertainty model. In the DO case, stall margin is slightly higher than the reference value of the required constraint, but the probability of stall is 43%. This is unacceptable risk for an aircraft engine, which requires absolutely stable operation in flight. However, stall margin obtained in RBDO is 2.7% higher than the reference value, and the probability of success increases to 95% with the improved efficiency and weight. Therefore, RBDO of the axial compressor for aircraft engine can be a reliable design optimization method through consideration of unexpected disturbance of the flow conditions.

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. K. S. Lee, K. Y. Kim and A. Samad, Design optimization of low-speed axial flow fan blade with three-dimensional RANS analysis, Journal of Mechanical Science and Technology, 22(10) (2008) 1864–1869.

    Article  Google Scholar 

  2. A. Oyama and M. S. Liou, Multiobjective Optimization of Rocket Engine Pumps Using Evolutionary Algorithm, Journal of Propulsion and Power, 18(3) (2002) 528–535.

    Article  Google Scholar 

  3. E. Benini, Three-Dimensional Multi-Objective Design Optimization of a Transonic Compressor Rotor, Journal of Propulsion and Power, 20(3) (2004) 559–565.

    Article  Google Scholar 

  4. A. Samad and K. Y. Kim, Multi-objective optimization of an axial compressor blade, Journal of Mechanical Science and Technology, 22(5) (2008) 999–1007.

    Article  Google Scholar 

  5. K. Y. Lee, Y. S. Choi, Y. L. Kim and J. H. Yun, Design of axial fan using inverse design method, Journal of Mechanical Science and Technology, 22(10) (2008) 1883–1888.

    Article  Google Scholar 

  6. A. Keskin and D. Bestle, Application of multi-objective optimization to axial compressor preliminary design, Aerospace Science and Technology, 10(7) (2006) 581–589.

    Article  Google Scholar 

  7. J. H. Choi, A Study on Centrifugal Compressor Design Optimization for Increasing Surge Margin, Journal of Fluid Machinery, 11(2) (2008) 38–45.

    Article  Google Scholar 

  8. C. Leyens, F. Kocian, J. Hausmann and W. A. Kaysser, Materials and design concepts for high performance compressor components, Aerospace Science and Technology, 7(3) (2203) 201–210.

    Article  Google Scholar 

  9. J. S. Lim and M. K. Chung, Design point optimization of an axial-flow compressor stage, International Journal of Heat and Fluid Flow, 10(1) (1989) 48–58.

    Article  Google Scholar 

  10. Y. Lian and M. S. Liou, Aerostructural Optimization of a Transonic Compressor Rotor, Journal of Propulsion and Power, 22(4) (2006) 880–888.

    Article  Google Scholar 

  11. L. Chen, F. Sun and C. Wu, Optimum design of a subsonic axial-flow compressor stage, Applied Energy, 80(2) (2005) 187–195.

    Article  Google Scholar 

  12. S. Pierret, R. F. Coelho and H. Kato, Multidisciplinary and multiple operating points shape optimization of three-dimensional compressor blades, Structural and Multidisciplinary Optimization, 33(1) (2007) 61–70.

    Article  Google Scholar 

  13. S. Hong, H. Kang, S. Lee, S. Jun, D. H. Lee, Y. S. Kang and S. S. Yang, Multidisciplinary Design Optimization of Multi Stage Axial Compressor, Journal of Fluid Machinery, 12(5) (2009) 72–78.

    Article  Google Scholar 

  14. Y. Lian and N. H. Kim, Reliability-Based Design Optimization of a Transonic Compressor, AIAA Journal, 44(2) (2006) 368–375.

    Article  Google Scholar 

  15. Y. Kim, Y. H. Jeon and D. H. Lee, Multi -Objective and Multidisciplinary Design Optimization of Supersonic Fighter Wing, Journal of Aircraft, 43(3) (2006) 817–824.

    Article  MathSciNet  Google Scholar 

  16. S. Jun, Y. H. Jeon, J. H. Kim and D. H. Lee, Application of the Robust and Reliability-Based Design Optimization to the Aircraft Wing Design, Journal of the Korean Society for Aeronautical and Space Science, 34(8) (2006) 24–32.

    Article  Google Scholar 

  17. L. Reid and R. D. Moore, Design and Overall Performance of Four Highly Loaded, High-Speed Inlet Stages for an Advanced High-Pressure-Ratio Core Compressor, NASA Technical Paper, 1337 (1978).

  18. J. H. Kim, B. K. Kim, S. Jun, Y. H. Jeon and D. H. Lee, Robust Design Optimization of a Fighter Wing Using an Uncertainty Model Constructed by Neural Network, Journal of the Korean Society for Aeronautical and Space Science, 36(2) (2007) 99–104.

    Google Scholar 

  19. J. E. Yoon, J. J. Lee, T. S. Kim and J. L. Sohn, Analysis of performance deterioration of a micro gas turbine and the use of neural network for predicting deteriorated component characteristics, Journal of Mechanical Science and Technology, 22(12) (2008) 2516–2525.

    Article  Google Scholar 

  20. H. H. Lee, S. J. Kim and S. K. Lee, Design of new sound metric and its application for quantification of an axle gear whine sound by utilizing artificial neural network, Journal of Mechanical Science and Technology, 23(4) (2009) 1182–1193.

    Article  Google Scholar 

  21. Y. Kim, K. Yee and D. H. Lee, Aerodynamic Shape Design of Rotor Airfoils Undergoing Unsteady Motion, Journal of Aircraft, 41(2) (2004) 247–257.

    Article  Google Scholar 

  22. Z. Z. Li, Y. D. Shen, H. L. Xu, J. W. Lee, K. S. Heo and S. Y. Seol, Optimal design of high temperature vacuum furnace using response surface method, Journal of Mechanical Science and Technology, 22(11) (2008) 2213–2217.

    Article  MATH  Google Scholar 

  23. Y. Lian and M. S. Liou, Multiobjective Optimization Using Coupled Response Surface Model and Evolutionary Algoorithm, AIAA Journal, 43(6) (2005) 1316–1325.

    Article  Google Scholar 

  24. S. Jun, Y. H. Jeon, J. Rho and D. H. Lee, Application of Collaborative Optimization Using Genetic Algorithm and Response Surface Method to an Aircraft Wing Design, Journal of Mechanical Science and Technology 20 (1) (2006) 133–146.

    Google Scholar 

  25. M. G. Neubauer, W. Watkins and J. Zeitlin, D-Optimal Weighting Designs for Four and Five Objects, The Electronic Journal of Linear Algebra, 4 (1998) 48–72.

    MathSciNet  MATH  Google Scholar 

  26. S. Jun, Y. H. Jeon, J. Rho and D. H. Lee, Reliability Based Design Optimization of the Aircraft Wing Considering Uncertainty, Proc. of the 2004 KSAS Spring Conference, Yongpyong, Korea, (2004) 989–992 (KSAS04-2703).

  27. G. N. Mangurian, Advisory Group for Aeronautical Research and Development, Report 154 (1957).

  28. N. A. Cumpsty, Compressor Aerodynamics, Longman Scientific & Technical, Essex (1989).

  29. D. Japikse, Developments in Agile Engineering for Turbomachinery, The 9th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery, Honolulu, Hawaii (2002).

  30. F. Gu and M. R. Anderson, CFD-Based Throughflow Solver in a Turbomachinery Design System, Proceedings of GT2007 ASME Turbo Expo 2007: Power for Land, Sea and Air, Montreal, Canada (2007).

  31. PIAnO (Process Integration, Automation and Optimization) User’s Manual, Version 2.4, FRAMAX Inc. (2008).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dong-Ho Lee.

Additional information

This paper was recommended for publication in revised form by Associate Editor Do Hyung Lee

Sangwon Hong is a candidate for the PhD in Aerospace Engineering at Seoul National University. His B.S. and Master’s degree is from Seoul National University. His research topic is a multidisciplinary design optimization and a reliability-based design optimization for complex systems.

Dong-Ho Lee is a professor in the School of Mechanical and Aerospace Engineering at Seoul National University. He is a member of The National Academy of Engineering of Korea. He is interested in computational fluid dynamics, wind tunnel test and multidisciplinary design optimization for large and complex systems (e.g. aircraft, helicopter, high speed train, compressor, and wind turbine).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hong, S., Lee, S., Jun, S. et al. Reliability-based design optimization of axial compressor using uncertainty model for stall margin. J Mech Sci Technol 25, 731–740 (2011). https://doi.org/10.1007/s12206-011-0103-y

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12206-011-0103-y

Keywords

Navigation