Sensitivity Analysis of Closest Point of Approach

Ying Huo (1) , Daniel Delahaye (1) , Yanjun Wang (2)

1 ENAC - Ecole Nationale de l'Aviation Civile
2 NUAA - Nanjing University of Aeronautics and Astronautics [Nanjing]

—The increase of air traffic demand leads to a higher risk of collision. In the process of ensuring the safety of air traffic, Closest Point of Approach (CPA) plays an important role in estimating potential dangers. Sensitivity analysis of CPA provides related information about the influences from different aircraft parameters to CPA. The parameters such as speed of aircraft, flight direction and relative position of aircraft are used as inputs, the closest distance between two aircraft and the time from the first observation to CPA are considered to be the outputs. The main idea presented in this paper includes the establishment of the model and the selection of sensitivity analysis method. The proposed model contains all possible encounter scenarios of two aircraft and can establish the relations between dependent and independent variables simply. The objective of sensitivity analysis is to detect the influential effects from the inputs to the outputs based on the model. Thus two methods are considered in this paper: Local approach uses the partial derivative corresponding to a specific point with respect to a certain input to determine the sensitivity. This method is limited by explaining one situation each time. Variance-based method which is under a probabilistic framework bases on random numerical sampling generates numerical results to determine the global influential effects with certain assumptions. The sensitivity analysis will benefit air traffic management controllers by offering auxiliary strategies while a dangerous situation occurs.

Mots clés: Closest point of approach; sensitivity analysis; local approach; variance-based method

Domaines: Optimisation et contrôle [math.OC]

Ying Huo, Daniel Delahaye, Yanjun Wang. Sensitivity Analysis of Closest Point of Approach. ICRAT 2018, 8th International Conference for Research in Air Transportation, Jun 2018, Barcelone, Spain. ⟨hal-01823194⟩