Abstract
In order to improve the real-time performance of the aero-engine Component-Level Model (CLM) while ensuring accuracy, a method for the Calculation of Thermodynamic Parameters of Working Fluids (CTPWF) based on a Neural Network and Newton Raphson (NN-NR) is proposed. In this method, the enthalpy or entropy under different fuel-air ratio and humidity conditions is mapped to temperature by a neural network, and the mapping output is used as the initial solution of Newton Raphson (NR) iteration. Then, a high-precision solution can be obtained through a few iterations, which avoids the shortcoming that the traditional method uses a fixed initial solution that leads to too many iterative steps. This effectively reduces the number of iterative steps and improves the calculation efficiency. This method is applied to the aero-thermodynamic calculation of each component of an engine CLM, which improves the accuracy and real-time performance of the CLM. The simulation results show that, compared to the traditional method, the proposed method improves the accuracy of the CTPWF and can reduces the single aero-thermodynamic calculation time by 25 % when humidity is not considered and by 47 % when humidity is considered. This effectively improves the real-time performance of the CLM.
Funding source: National Science and Technology Major Project of China
Award Identifier / Grant number: J2019-II-0009-0053
Award Identifier / Grant number: J2019-I-0020-0019
Award Identifier / Grant number: J2019-III-0014-0058
Funding source: Innovation Centre for Advanced Aviation Power , China
Award Identifier / Grant number: HKCX2020-02-022
Award Identifier / Grant number: HKCX2022-01-026-03
Award Identifier / Grant number: HKCX2022-01-026-03
Funding source: The Fund of Prospective Layout of Scientific Research for NUAA(Nanjing University of Aeronautics and Astronautics), China
Award Identifier / Grant number: ILA220341A22
Award Identifier / Grant number: ILA220371A22
Funding source: Project funded by China Postdoctoral Science Foundation, China
Award Identifier / Grant number: 2021M701692
Funding source: Jiangsu Funding Program for Excellent Postdoctoral Talent, China
Award Identifier / Grant number: 2022ZB202
-
Research funding: None declared.
-
Conflict of interest statement: The authors declare no conflicts of interest regarding this article.
-
Author contributions: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.
References
1. Sun, J. Prospect of aeronautical power control facing the 21st century. J Aero Power 2001;2:97–102.Search in Google Scholar
2. Lu, F, Huang, J, Ji, C, Zhang, D, Jiao, H. Gas path on-line fault diagnostics using a nonlinear integrated model for gas turbine engines. Int J Turbo Jet Engines 2014;31:261–75. https://doi.org/10.1515/tjeng-2014-0001.Search in Google Scholar
3. Simon, DL, Armstrong, JB, Garg, S. Application of an optimal tuner selection approach for on-board self-tuning engine models. Ohio, USA: Glenn Research Center; 2012, NASA/TM-2012-217278.10.1115/1.4004178Search in Google Scholar
4. Zheng, Q, Du, Z, Fu, D, Hu, Z, Zhang, H. Direct thrust inverse control of aero-engine based on deep neural network. Int J Turbo Jet Engines 2021;38:391–6. https://doi.org/10.1515/tjeng-2018-0049.Search in Google Scholar
5. Smith, RH, Chisholm, JD, Stewart, JF. Optimizing aircraft performance with adaptive, integrated flight/propulsion control. ASME. J Eng Gas Turbines Power 1991;113:87–94. https://doi.org/10.1115/1.2906535.Search in Google Scholar
6. Cheng, C, Zheng, Q, Wang, Y, Zhang, H. Research on modeling method of aero-engine variable baseline model based on state perception. J Propuls Technol 2023;1–16. https://doi.org/10.13675/J.CNKI.TJJS.2206066.20060666626.Search in Google Scholar
7. Wang, J. Research on model-based optimal control technology of aero-engine. Nanjing: Nanjing University of Aeronautics and Astronautics; 2013.Search in Google Scholar
8. Fang, J, Zheng, Q, Zhang, H, Jin, C. An improved compact propulsion system model based on batch normalize deep neural network. Int J Turbo Jet Engines 2021. https://doi.org/10.1515/tjeng-2021-0007.Search in Google Scholar
9. Zheng, Q, Wang, Y, Jin, C, Zhang, H. Aero-engine dynamic model based on an improved compact propulsion system dynamic model. Proc IME J Syst Control Eng 2021;235:1036–45. https://doi.org/10.1177/0959651820984081.Search in Google Scholar
10. Zhang, H, Chen, T, Sun, J, Wu, W. Design and simulation of a new aero-engine adaptive model. Propuls Technol 2011;32:557–63.Search in Google Scholar
11. Chen, J, Hu, Z, Wang, J. Aero-engine real-time models and their applications. Math Probl Eng 2021;2021:1–17. https://doi.org/10.1155/2021/9917523.Search in Google Scholar
12. Gazzetta, H, Bringhenti, C, Barbosa, JR, Tomita, JT. Real-time gas turbine model for performance simulations. J Aero Technol Manag 2017;9:346–56. https://doi.org/10.5028/jatm.v9i3.693.Search in Google Scholar
13. Liu, Y, Liu, W, Chen, F, Sun, B. Simplified model for real-time simulation of twin-shaft turbojet engine performance. J Aero Power 1994;4:20–3+103–4.Search in Google Scholar
14. Luo, X, Jia, G, Ming, L, Liu, B, Wang, C, Song, Z. Research on iterative calculation optimization method of aero-engine on-board model. J Syst Simul 2022;34:2649–58.Search in Google Scholar
15. Wang, Y, Li, Q, Huang, X. Numerical calculation of aero-engine model based on self-tuning Broyden quasi-Newton method. J Aero Power 2016;31:249–56.Search in Google Scholar
16. Yin, K, Zhou, W, Qiao, K, Wang, H, Huang, Q. Research on the method of improving the real-time performance of aero-engine component-level model. Propuls Technol 2017;38:199–206.Search in Google Scholar
17. Cai, C, Zheng, Q, Zhang, H. A new method to improve the real-time performance of aero-engine component level model. Int J Turbo Jet Engines 2020;40:101–9. https://doi.org/10.1515/tjeng-2020-0033.Search in Google Scholar
18. Luo, G, Sang, Z, Wang, R, Gao, K. Numerical simulation of aviation gas turbine engine. Beijing: National Defense Industry Press; 2007:4 p.Search in Google Scholar
19. Walsh, PP, Fletcher, P. Gas turbine performance. Houston, TX: John Wiley & Sons; 2004.10.1002/9780470774533Search in Google Scholar
20. Skopenkov, A. A short elementary proof of the insolvability of the equation of degree 5; 2015. arXiv preprint arXiv:1508.03317.Search in Google Scholar
21. Dong, J, Hu, S. Research progress and prospect of chaotic neural networks. Inf Control 1997;5:41–5+59Search in Google Scholar
22. Zhu, D, Shi, H. Principle and application of artificial neural network. Beijing: Science Press; 2006.Search in Google Scholar
23. Volponi, AJ, DePold, H, Ganguli, R, Daguang, C. The use of Kalman filter and neural network methodologies in gas turbine performance diagnostics: a comparative study. J Eng Gas Turbines Power 2003;125:917–24. https://doi.org/10.1115/1.1419016.Search in Google Scholar
24. Volponi, AJ. Use of hybrid engine modeling for on-board module performance tracking. In: Turbo expo: power for land, sea, and air. Reno, Nevada, USA: ASME; 2005, 46997:525–33 pp.10.1115/GT2005-68169Search in Google Scholar
25. Zheng, Q, Fang, J, Hu, Z, Zhang, H. Aero-engine on-board model based on batch normalize deep neural network. IEEE Access 2019;7:54855–62. https://doi.org/10.1109/access.2018.2885199.Search in Google Scholar
26. Zheng, Q. Research on comprehensive optimization control of intelligent aero-engine. Nanjing: Nanjing University of Aeronautics and Astronautics; 2018.Search in Google Scholar
27. Galushkin, AI. Neural networks theory. Berlin: Springer Science & Business Media; 2007.Search in Google Scholar
28. De Wilde, P. Neural network models: theory and projects. Berlin: Springer Science & Business Media; 2013.Search in Google Scholar
29. Hecht-Nielsen, R. Kolmogorov’s mapping neural network existence theorem. In: Proceedings of the international conference on neural networks. New York, NY, USA: IEEE Press; 1987, vol 3:11–4 pp.Search in Google Scholar
30. Akram, S, Ann, QU. Newton raphson method. Int J Sci Eng Res 2015;6:1748–52.Search in Google Scholar
31. Pho, KH. Improvements of the Newton–raphson method. J Comput Appl Math 2022;408:114106. https://doi.org/10.1016/j.cam.2022.114106.Search in Google Scholar
32. Himonas, A, Howard, A. Calculus: ideas and applications. Maitland, USA: Wiley; 2003.Search in Google Scholar
© 2023 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Numerical investigations of heat transfer characteristics using oblong fins and circular fins in a wedge channel
- An efficient flow control technique based on co-flow jet and multi-stage slot circulation control applied to a supercritical airfoil
- Reacting flow analysis in scramjet engine: effect of mass flow rate of fuel and flight velocity
- Installed performance seeking control based on supersonic variable inlet/engine coupling model
- Effect of zero penetration angle chevrons in supersonic jet noise and screech tone mitigation
- The aerodynamic performance degradation analysis of a small high bypass turbofan engine compression system with fan rotor blade leading edge erosion
- Flow structure comparison of film cooling versus hybrid cooling: a CFD study
- Experimental investigation on a Jeffcott rotor with combined coupling misalignment using time-frequency analysis
- Effect of free boundary on the performance of single expansion nozzle
- Optimization and numerical investigation of combined design of blade and endwall on rotor 67
- Numerical study on the effect of distortion of S-duct on flow field and performance of a full annulus transonic fan
- Research on a high-precision real-time improvement method for aero-engine component-level model
- Uncertainty quantification by probabilistic analysis of circular fins
- Influences of unbalance phase combination on the dynamic characteristics for a turboprop engine
- Study on the water ingestion performance of compressor with inlet particle separator
- The role of volume effect on the transient behavior of a transonic compressor
- Experimental analysis of performance and tip dynamic pressure in a compressor cascade with high-speed moving endwall
- Numerical study of the impact of hydrogen addition, swirl intensity and equivalence ratio on methane-air combustion
- Active subspace-based performance analysis of supersonic through-flow fan rotor
- Assessment of performance degradation of a mixed flow low bypass turbofan engine through GasTurb simulation
- Numerical investigation of tip clearance flow in a variable geometry turbine with non-uniform partial clearance
Articles in the same Issue
- Frontmatter
- Numerical investigations of heat transfer characteristics using oblong fins and circular fins in a wedge channel
- An efficient flow control technique based on co-flow jet and multi-stage slot circulation control applied to a supercritical airfoil
- Reacting flow analysis in scramjet engine: effect of mass flow rate of fuel and flight velocity
- Installed performance seeking control based on supersonic variable inlet/engine coupling model
- Effect of zero penetration angle chevrons in supersonic jet noise and screech tone mitigation
- The aerodynamic performance degradation analysis of a small high bypass turbofan engine compression system with fan rotor blade leading edge erosion
- Flow structure comparison of film cooling versus hybrid cooling: a CFD study
- Experimental investigation on a Jeffcott rotor with combined coupling misalignment using time-frequency analysis
- Effect of free boundary on the performance of single expansion nozzle
- Optimization and numerical investigation of combined design of blade and endwall on rotor 67
- Numerical study on the effect of distortion of S-duct on flow field and performance of a full annulus transonic fan
- Research on a high-precision real-time improvement method for aero-engine component-level model
- Uncertainty quantification by probabilistic analysis of circular fins
- Influences of unbalance phase combination on the dynamic characteristics for a turboprop engine
- Study on the water ingestion performance of compressor with inlet particle separator
- The role of volume effect on the transient behavior of a transonic compressor
- Experimental analysis of performance and tip dynamic pressure in a compressor cascade with high-speed moving endwall
- Numerical study of the impact of hydrogen addition, swirl intensity and equivalence ratio on methane-air combustion
- Active subspace-based performance analysis of supersonic through-flow fan rotor
- Assessment of performance degradation of a mixed flow low bypass turbofan engine through GasTurb simulation
- Numerical investigation of tip clearance flow in a variable geometry turbine with non-uniform partial clearance