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Improvement of JENSEN model for the compressor volume flow rate of marine diesel engine

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Abstract

Modeling is an efficient and validated method in industry digitalization, and it lays a foundation for smart applications like digital twins, fault diagnostics, control system design, and performance optimization. Methods of modeling play a key role. As years passed, JENSEN model has been widely used in turbocharged diesel engines for calculating the mass flow rate of centrifugal compressor of turbocharger. However, it is difficult to get good accuracy and a good convergence performance at the same time. For the first time, we propose a model, called M-JENSEN, which has been validated to be of good accuracy and well convergence performance at the same time. The optimal objective of Jensen’s model is the dimensionless pressure head, while the volume flow rate is what the user wants in practice. This difference makes the accuracy loss in Jensen’s model. An attempt has been made to change the optimal objective; the accuracy was improved but convergence was hard to reach. Thus, a modified version of Jensen’s model, M-JENSEN, was proposed by swapping the position of Mach number and dimensionless pressure head. Compared to Jensen’s model, the accuracy of M-JENSEN model was improved by 29.5% measured by R-square and 52.3% measured by RMSE in ABB A270. Its performance was also validated in MAN TCA88 and showed consistent results.

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Abbreviations

ABB:

The name of a company

MAN:

The name of a company

\(\Psi :\) :

Dimensionless pressure head

\(\Pi :\) :

Pressure ratio of compressor

\(\Phi :\) :

Normalized compressor volume flow rate

\({Q}_{v}:\) :

Volume flow rate of compressor [\({\mathrm{m}}^{3}/\mathrm{s}\)]

M:

Mach number

\({U}_{c}:\) :

Blade tip speed of compressor [m/s]

\({T}_{a}:\) :

Temperature of air [K]

\({R}_{a}:\) :

Gas constant of air [\(\mathrm{J}/(\mathrm{kg}\bullet \mathrm{K})\)]

\(\mathrm{D}:\) :

Diameter of impeller at blade tip [m]

\(\mathrm{MAN}:\) :

Revolution speed of turbocharger [rpm]

RMSE:

Root-mean-square error

\(\mathrm{MAN}:\) :

R-square

\({k}_{1}\sim {k}_{6}:\) :

Parameters in model

\({k}_{a}:\) :

Specific heat ratio of air

\({c}_{p}:\) :

Specific heat capacity at a constant pressure [\(\mathrm{J}/(\mathrm{kg}\bullet \mathrm{K})\)]

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Acknowledgements

The authors would like to thank Dr. Haosheng Shen for the inspiring discussions on the characteristics of the existing compressor models and the provision of the data sets.

Funding

The authors disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: This work was supported by National Natural Science Foundation of China (52071090), China Postdoctoral Science Foundation (2021M690495), and Fundamental Research Funds for the Central Universities (017200221).

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Authors and Affiliations

  1. Marine Engineering College, Dalian Maritime University, Dalian, 116000, People’s Republic of China

    Yuanyuan Tang, Jundong Zhang & Wenwei Liang

  2. School of Energy and Power Engineering, Dalian University of Technology, Dalian, 116000, People’s Republic of China

    Yu Xia

  3. 3Maritime College, Guangdong Ocean University, Zhanjiang, 524088, People’s Republic of China

    Baozhu Jia

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  1. Yuanyuan Tang
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Correspondence to Yuanyuan Tang.

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Tang, Y., Xia, Y., Zhang, J. et al. Improvement of JENSEN model for the compressor volume flow rate of marine diesel engine. J Braz. Soc. Mech. Sci. Eng. 45, 30 (2023). https://doi.org/10.1007/s40430-022-03961-6

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