Optimization and Engineering

, Volume 16, Issue 4, pp 663–693 | Cite as

Constrained problem formulations for power optimization of aircraft electro-thermal anti-icing systems

  • Mahdi PourbagianEmail author
  • Bastien Talgorn
  • Wagdi G. Habashi
  • Michael Kokkolaras
  • Sébastien Le Digabel


Various constrained problem formulations for the optimization of an electro-thermal wing anti-icing system in both running-wet and evaporative regimes are presented. The numerical simulation of the system is performed by solving the conjugate heat transfer problem between the fluid and solid domains. The optimization goal is to reduce the energy use and power demand of the anti-icing system while ensuring a safe protection. The formulations are carefully proposed from the physical and mathematical viewpoints; their performance is assessed by means of several numerical test cases to discern the most promising for each regime. The design optimization is conducted using the mesh adaptive direct search algorithm using quadratic and statistical surrogate models in the search step. The influence of the models on the convergence speed and the quality of the obtained design solutions is investigated.


Aircraft icing Electro-thermal anti-icing system Conjugate heat transfer Optimization Statistical surrogate 



This work was partially supported by a McGill Engineering Doctoral Award (MEDA), a GERAD postdoctoral fellowship and NSERC Discovery Grants 418250-2012 and 436193-2013. The authors would also like to thank the CLUMEQ consortium for its computer resources.


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Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  • Mahdi Pourbagian
    • 1
    Email author
  • Bastien Talgorn
    • 2
    • 3
  • Wagdi G. Habashi
    • 1
  • Michael Kokkolaras
    • 2
    • 3
  • Sébastien Le Digabel
    • 3
    • 4
  1. 1.CFD Laboratory, Department of Mechanical EngineeringMcGill UniversityMontrealCanada
  2. 2.Department of Mechanical EngineeringMcGill UniversityMontrealCanada
  3. 3.GERAD (Group for Research in Decision Analysis) A Multi-university Research CenterMontrealCanada
  4. 4.Département de mathématiques et génie industrielÉcole Polytechnique de MontréalMontrealCanada

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