Skip to main content
SpringerLink
Log in

Optimization of Aircraft Fuel Consumption During the Climb Phase

  • NONLINEAR SYSTEMS
  • Published:
Automation and Remote Control Aims and scope Submit manuscript

Abstract

We consider the problem of minimizing the fuel consumption of a subsonic turbojet passenger aircraft at the climb phase. In addition to fuel consumption, the objective function to be optimized includes the time spent at the climb phase, since climb optimization is part of the optimization problem for the entire flight with the requirement to arrive at a given point at a given time. Since at the end of the phase it is necessary to reach the given values of speed and altitude from which the cruising flight should begin, penalties for not reaching these values are added to the objective function. The value of the objective function is the result of a numerical solution of a system of differential equations; therefore, for optimization, a gradient-free search method is proposed using candidate points and taking into account constraints. An example of optimizing fuel consumption in comparison with a standard climb profile is considered for two options for the possible implementation of the control system: thrust and pitch control or only pitch control at a constant value of thrust control.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.

REFERENCES

  1. Alexandrov, V.A., Zybin, E.Y., Kosyanchuk, V.V., Selvesyuk, N.I., Tremba, A.A., and Khlebnikov, M.V., Optimization of the altitude and speed profile of the aircraft cruise with fixed arrival time, Autom. Remote Control, 2021, vol. 82, no. 7, pp. 1169–1182.

    Article  MATH  Google Scholar 

  2. Gubareva, E.A. and Mozzhorina, T.Yu., Optimization of the flight program of a subsonic passenger aircraft during the acceleration–climb phase, Inzh. Zh.: Nauka Innovatsii, 2013, no. 7(19).

  3. Ghaemi, R., Lax, D.M., Westervelt, E.R., Darnell, M., and Visser, N., Optimal variable-speed climb for a fixed-wing aircraft, AIAA 2019-3617. AIAA Aviation 2019 Forum, 2019.

  4. Wan, J., Zhang, H., Liu, F., Lv, W., and Zhao, Y., Optimization of aircraft climb trajectory considering environmental impact under RTA constraints, J. Adv. Transp., vol. 2020, p. 2738517.

  5. Villegas Diaz, M., Gomez Comendador, V.F., Garcia-Heras Carretero, J., and Arnaldo Valdes, R.M., Environmental benefits in terms of fuel efficiency and noise when introducing continuous climb operations as part of terminal airspace operation, Int. J. Sustainable Transp., 2020, vol. 14, no. 12, pp. 903–913.

    Article  Google Scholar 

  6. Grigorov, P.Y. and Kulanov, N.V., Using the conception of dynamical inverse problems in problems of vertical navigation, J. Comput. Syst. Sci. Int., 2016, vol. 55, no. 3, pp. 458–468.

    Article  MATH  Google Scholar 

  7. Hull, D.G., Fundamentals of Airplane Flight Mechanics, Berlin–Heidelberg: Springer-Verlag, 2007.

    MATH  Google Scholar 

  8. GOST 4401-81. Atmosfera standartnaya. Parametry (GOST (State Standard) 4401-81. Standard Atmosphere. Parameters), Moscow: Izd. Standartov, 2004.

  9. Bartel, M. and Young, T.M., Simplified thrust and fuel consumption models for modern two-shaft turbofan engines, J. Aircraft, 2008, no. 45(4), pp. 1450–1456.

  10. Nuic, A., User manual for the base of aircraft data (BADA), Revision 3.8. EUROCONTROL, EEC Tech. Rep., 2010, no. 2010-003.

  11. Polyak, B.T., Vvedenie v optimizatsiyu. 2-e izd. (Introduction to Optimization, 2nd Ed.), Moscow: LENAND, 2014.

    Google Scholar 

  12. Vasil’ev, F.P., Metody optimizatsii (Optimization Methods), Moscow: Faktorial Press, 2002.

    Google Scholar 

Download references

Funding

This work was supported in part by the Russian Science Foundation, project no. 21-71-30005.

Author information

Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, 117997, Russia

    V. A. Alexandrov, A. A. Tremba & M. V. Khlebnikov

  2. State Research Institute of Aviation Systems, Moscow, 125167, Russia

    E. Yu. Zybin, V. V. Kosyanchuk & N. I. Selvesyuk

  3. Moscow Institute of Physics and Technology, Dolgoprudnyi, Moscow oblast, 141701, Russia

    A. A. Tremba & M. V. Khlebnikov

Authors
  1. V. A. Alexandrov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. E. Yu. Zybin
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. V. Kosyanchuk
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. N. I. Selvesyuk
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. A. A. Tremba
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. M. V. Khlebnikov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to V. A. Alexandrov, E. Yu. Zybin, V. V. Kosyanchuk, N. I. Selvesyuk, A. A. Tremba or M. V. Khlebnikov.

Additional information

Translated by V. Potapchouck

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Alexandrov, V.A., Zybin, E.Y., Kosyanchuk, V.V. et al. Optimization of Aircraft Fuel Consumption During the Climb Phase. Autom Remote Control 83, 1742–1757 (2022). https://doi.org/10.1134/S00051179220110030

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S00051179220110030

Keywords

Search

Navigation