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Theoretical and experimental investigation of the pressure ratio distribution and the regulation strategy of a two-stage turbocharging system for various altitudes operation

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Abstract

Fixed two-stage turbocharging system matched at high altitude leads to engine performance deterioration at low altitudes due to unreasonable pressure ratio distribution between two stages. In this paper, a thermodynamic model of regulated two-stage turbocharging system is established. Theoretical analysis shows the pressure ratio distribution should lean towards a turbocharger with greater efficiency, and the high-altitude operation intensifies the role of HP stage. Experiments are conducted on an environment simulation test bench. Then, the optimal pressure ratio distribution and ETAR at various altitudes are proposed. Experiment results demonstrate that the turbocharging system boosts sufficient intake air with the optimal ETAR. Compared to that with the fixed turbocharging system, the maximum increment of the overall efficiency is 9.3 % at 0 m and attains 1.5 % at 3000 m. Consequently, the output torque is 100 % recovered below 3000 m, and it exceeds 91 % at 4500 m. Moreover, the optimal ETAR reduces the BSFC under low altitude conditions.

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Abbreviations

A :

Equivalent turbo area, cm2

C p :

Specific heat at constant pressure, J/(kg·K)

H :

Altitude, m Energy of a system

m :

Mass flow rate, kg/s

k :

Adiabatic exponent

T :

Temperature, K

P :

Pressure, kPa

η :

Efficiency, %

π :

Pressure ratio/expansion ratio

in :

Intake air

ex :

Exhaust gas

T :

Tcompressor

TC :

Turbocharger system

max :

Maximum

T,S :

Turbocharging system

BSFC :

Brake specific fuel consumption

HP :

High-pressure

LP :

Low-pressure

H,S :

High-pressure stage

L,S :

Low-pressure stage

PR :

Pressure ratio

ETAR :

Equivalent turbo area ratio

FMEP :

Pumping mean effective pressure

References

  1. X. Wang, Y. Ge, L. Yu and X. Feng, Comparison of combustion characteristics and brake thermal efficiency of a heavy-duty diesel engine fueled with diesel and biodiesel at high altitude, Fuel, 107 (2013) 852–858.

    Article  Google Scholar 

  2. G. Zhou, R. Liu, S. Dong, X. Xu and G. Liu, Review on plateau environment adaptability of diesel engine, Vehicle Engine, 4(1) (2013) 1–5.

    Google Scholar 

  3. P. L. Perez and A. L. Boehman, Performance of a single-cylinder diesel engine using oxygen-enriched intake air at simulated high-altitude conditions, Aerospace Science and Technology, 14(2) (2010) 83–94.

    Article  Google Scholar 

  4. X. Wang, Y. Ge, L. Yu and X. Feng, Effects of altitude on the thermal efficiency of a heavy-duty diesel engine, Energy, 59 (2013) 543–548.

    Article  Google Scholar 

  5. H. Hiereth and P. Prenninger, Charging the Internal Combustion Engine, Springer Science and Business Media, New York, USA (2007).

    Google Scholar 

  6. A. M. Williams, A. T. Baker, C. P. Garner and R. Vijayakumar, Turbo-discharging turbocharged internal combustion engines, Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 227(1) (2013) 52–65.

    Google Scholar 

  7. Y. Fass and L. Tartakovsky, Limitations of two-stage turbo-charging at high flight altitudes, SAE International Journal of Engines (2018) 03-11-05-0034.

  8. H. Li, G. Zhang, H. Zhang, L. Shi, M. Yang and K. Deng, Equivalent matching model of a regulated two-stage turbo-charging system for the plateau adaptability, Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 230(12) (2016) 1654–1669.

    Google Scholar 

  9. M. Szedlmayer and C. B. M. Kweon, Effect of altitude conditions on combustion and performance of a multi-cylinder turbo-charged direct-injection diesel engine, SAE Technical Paper (2016) (2016-01-0742).

  10. J. Wang, L. Shen, Y. Bi, S. Liu and M. Wan, Power recovery of a variable nozzle turbocharged diesel engine at high altitude by response surface methodology and sequential quadratic programming, Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 233(4) (2019) 810–823.

    Google Scholar 

  11. R. Liu, Research on Plateau Environmental Adaptability of Diesel Engines, Beijing Institute of Technology Press, Beijing, China (2013).

    Google Scholar 

  12. R. Liu, Z. Zhang, S. Dong and G. Zhou, High-altitude matching characteristic of regulated two-stage turbocharger with diesel engine, Journal of Engineering for Gas Turbines and Power, 139(9) (2017) 094501.

    Article  Google Scholar 

  13. Q. Zhang, A. Pennycott and C. J. Brace, A review of parallel and series turbocharging for the diesel engine, Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 227(12) (2013) 1723–1733.

    Google Scholar 

  14. M. Yang, Y. Gu, K. Deng, Z. Yang and S. Liu, Influence of altitude on two-stage turbocharging system in a heavy-duty diesel engine based on analysis of available flow energy, Applied Thermal Engineering, 129 (2018) 12–21.

    Article  Google Scholar 

  15. B. Lee, Z. Filipi, D. Assanis and D. Jung, Simulation-based assessment of various dual-stage boosting systems in terms of performance and fuel economy improvements, SAE International Journal of Engines, 2(1) (2009) 1335–1346.

    Article  Google Scholar 

  16. B. Lee, D. Jung, D. Assanis and Z. Filipi, Dual-stage turbo-charger matching and boost control options, ASME 2008 Internal Combustion Engine Division Spring Technical Conference, American Society of Mechanical Engineers (2008) 267–277.

  17. Y. Liu, W. Zhuge, Y. Zhang, S. Zhang, J. Zhang and X. Huo, A matching method for two-stage turbocharging system, Journal of Engineering for Gas Turbines and Power, 137(2) (2015) 022604.

    Article  Google Scholar 

  18. Z. Zheng, H. Feng, B. Mao, H. Liu and M. Yao, A theoretical and experimental study on the effects of parameters of two-stage turbocharging system on performance of a heavy-duty diesel engine, Applied Thermal Engineering, 129 (2018) 822–832.

    Article  Google Scholar 

  19. B. Wu, Z. Han, X. Yu, S. Zhang, X. Nie and W. Su, A method for matching two-stage turbocharger system and its influence on engine performance, Journal of Engineering for Gas Turbines and Power, 141(5) (2019) 054502.

    Article  Google Scholar 

  20. R. Zhao, W. Zhuge, Y. Zhang, Y. Yin, Y. Zhao and Z. Chen, Parametric study of a turbocompound diesel engine based on an analytical model, Energy, 115 (2016) 435–445.

    Article  Google Scholar 

  21. C. Chadwell, T. Alger, C. Roberts and S. Arnold, Boosting simulation of high efficiency alternative combustion mode engines, SAE International Journal of Engines, 4(1) (2011) 375–393.

    Article  Google Scholar 

  22. Q. Zhang, C. Brace, S. Akehurst, R. Burke, G. Capon, L. Smith and K. Zhang, Simulation study of the series sequential turbocharging for engine downsizing and fuel efficiency, SAE Technical Paper (2013) No. 2013-01-0935.

  23. J. Galindo, J. R. Serrano, H. Climent and O. Varnier, Impact of two-stage turbocharging architectures on pumping losses of automotive engines based on an analytical model, Energy Conversion and Management, 51(10) (2010) 1958–1969.

    Article  Google Scholar 

  24. X. Shi, T. Wang and C. Ma, Simulations of the diesel engine performance with a two-stage sequential turbocharging system at different altitudes, Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering, 228(14) (2014) 1718–1726.

    Google Scholar 

  25. Z. Zhang, R. Liu, G. Zhou, C. Yang, D. Liu and N. Xia, Research status and development trend of available exhaust energy management for diesel engine at different altitudes, IOP Conference Series: Earth and Environmental Science, IOP Publishing, 227(4) (2019) 042011.

    Google Scholar 

  26. P. Shan, Y. Zhou and D. Zhu, Mathematical model of two-stage turbocharging gasoline engine propeller propulsion system and analysis of its flying characteristic, Journal of Engineering for Gas Turbines and Power, 137(5) (2015) 051201.

    Article  Google Scholar 

  27. N. Watson and M. S. Janota, Turbocharging the Internal Combustion Engine, Macmillan International Higher Education, London, Britain (1982).

    Book  Google Scholar 

  28. M. Yang, Y. Gu, K. Deng, Z. Yang and Y. Zhang, Analysis on altitude adaptability of turbocharging systems for a heavy-duty diesel engine, Applied Thermal Engineering, 128 (2018) 1196–1207.

    Article  Google Scholar 

Download references

Acknowledgments

This study is supported by the Fund of National Basic Research Program (Grant No. 61325202).

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Correspondence to Lei Shi.

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Recommended by Editor Yong Tae Kang

Huiyan Zhang is a Ph.D. candidate of the School of Mechanical and Engineering, Shanghai Jiao Tong University, Shanghai, China. He received his Master degree in Power Engineering from Xi’an Jiaotong University and Bachelor degree from Harbin Institute of Technology. His research interests include matching and control method of turbocharging system, as well as performance of diesel engine.

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Zhang, H., Tang, X., Mu, L. et al. Theoretical and experimental investigation of the pressure ratio distribution and the regulation strategy of a two-stage turbocharging system for various altitudes operation. J Mech Sci Technol 35, 1251–1265 (2021). https://doi.org/10.1007/s12206-020-1231-z

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  • DOI: https://doi.org/10.1007/s12206-020-1231-z

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