Développement d'un modèle mathématique permettant de générer des données de performance pour un système de gestion de vol

Abstract

This research project presents a calculation method for aeronautical performance databases. The objective of the project is to test if a mathematical model can generate performance parameters with the precision required to be used in flight management systems embedded in commercial airplanes. The study is limited to a descent at constant calibrated airspeed or Mach number and constant vertical speed. The performance parameters generated by the model are the true airspeed, the calibrated airspeed, the Mach number, the flight path angle and the angle of attack. They are calculated with a mathematical model based on the equations of motion of the airplane. A geometrical, aerodynamic and propulsion model related to the airplane studied is added to this mathematical model. Three models are tested in this project: the first is weight-invariant with a complete aerodynamic model, the second uses a simplified aerodynamic model and the third is weight-variant and takes into account changes in weight relative to fuel consumption. The aircraft used in this research is the two-engine business jet, the Cessna Citation X. Validation is achieved using a flight simulator with the most highly certified flight dynamics by the FAA. The tests are performed on a large set of configurations in regard to weight and center of gravity and at different speed/Mach and vertical speed conditions. The results for the weight-invariant with a complete aerodynamic model are close to the flight test data with a maximum tolerance set to match with the FAA requirements. The model using a simplified aerodynamic model is not precise for the angle of attack, attributable to the use of the simplified aerodynamic model. The weight-variant model yields less accurate results than the weight-invariant model due to a poor estimation of the fuel flow. This deficiency is caused by the use of a propulsion model thinly adapted to the descent phase and it is difficult to conclude on the mathematical model in this case.

Date	25 Sept 2017
Original language	French
Awarding Institution	École de technologie supérieure
Supervisor	Ruxandra Botez (Supervisor)