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Projecte llegit

Títol: Optimisation of vertical profiles using look-up tables and root-finding algorithms


Estudiants que han llegit aquest projecte:


Director/a: DALMAU CODINA, RAMON

Departament: FIS

Títol: Optimisation of vertical profiles using look-up tables and root-finding algorithms

Data inici oferta: 01-02-2017     Data finalització oferta: 01-10-2017



Estudis d'assignació del projecte:
    Tipus: Individual
     
    Lloc de realització: EETAC
     
    Segon director/a (UPC): PRATS MENÉNDEZ, XAVIER
     
    Paraules clau:
    Trajectory optimisation, Trajectory prediction, Bada, Look-up tables
     
    Descripció del contingut i pla d'activitats:
    DYNAMO is a trajectory optimisation software that consists on two modules: a lateral profile optimisation module (LPOM) and a vertical profile optimisation module (VPOM).


    The flight profile is divided in several flight phases in which several constraints may apply, including typical operational procedures, Air Traffic Control (ATC) restrictions and Air Traffic Management (ATM) practises. For instance, these constraints may impose constant Mach, Callibrated Airspeed (CAS) or altitude flight phases by means of optimisation parameters that are bounded with the upper and lower values specified in the flight profile. It should be noted that the optimisation algorithm will choose the (optimal) values of the different CAS, Mach and altitude phase dependent parameter.

    In the current DYNAMO implementation these parameters are optimised by using non-linear programming (NLP) algorithms, which is very sensitive to the initial guess and have a relatively high computational burden. Nevertheless, the formulation of the optimisation problem is very flexible (i.e. a wide range of constraint types can be defined) and the solution is very accurate.

    The goal of this internship is to develop a version of the VPOM that does not require NLP algorithms. The optimisation will consist on a numerical integration of the equations of motion (by using Euler, trapezoidal or any other integration scheme) with the values of the phase dependent parameters determined by a root-finding algorithm or taken from pre-computed look-up tables.

    The root-finding/look-up tables-based VPOM is expected to be much faster and predictable than the NLP-based VPOM, although less flexible and accurate.
     
    Overview (resum en anglès):
    The main goal of this Final-Bachelor Project is to develop a version of an in-house Vertical Profile Optimizer, whose optimization will involve the use of optimum speeds which minimize the trajectory cost depending on flight conditions. These speeds will be computed prior to simulations, in order to reduce the computational burden within themselves.

    Pre-computed speeds will be obtained: through the resolution of an optimal-control problem by means of Non-Linear Programming (NLP), for the phases of climb and descent; and through the numerical resolution of non-linear equations (root-finding) for the phase of cruise.

    Thus, the greatest weight will be carried by the computation of the tables enclosing the optimal speeds for optimization, tables which will be computed for the most significant aircraft models obtained by means of a clustering process.

    Eventually, trajectory simulations will be carried out in order to check the efficiency and speed of the new-developed algorithm. Results obtained will be also compared with the ones provided by Airbus' Performance Engineering Program (PEP).


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