Abstract:Aircraft Operators Companies (AOCs) are always willing to keep the cost of a flight as low as possible. These costs could be modelled using a function of the fuel consumption, time of flight and fixed cost (over flight cost, maintenance, etc.). These are strongly dependant on the atmospheric conditions, the presence of winds and the aircraft performance. For this reason, much research effort is being put in the development of numerical and graphical techniques for defining the optimal trajectory. This paper pr… Show more
“…For solving multicriteria trajectory optimisation problems, two approaches have been primarily investigated. The path-finding algorithm A* and the more general Dijkstra algorithm for searching shortest paths in a graph are employed 46,47 as well as the optimal control problem approach 45,[53][54][55] , which is able to consider conflictive target functions and real weather conditions. The discrete input parameters are approximated by analytically solvable functions.…”
Multicriteria trajectory optimisation is expected to increase aviation safety, efficiency and environmental compatibility, although neither the theoretical calculation of such optimised trajectories nor their implementation into today’s already safe and efficient air traffic flow management reaches a satisfying level of fidelity. The calibration of the underlying objective functions leading to the virtually best available solution is complicated and hard to identify, since the participating stakeholders are very competitive. Furthermore, operational uncertainties hamper the robust identification of an optimised trajectory. These uncertainties may arise from severe weather conditions or operational changes in the airport management. In this study, the impact of multicriteria optimised free route trajectories on the air traffic flow management is analysed and compared with a validated reference scenario which consists of real flown trajectories during a peak hour of Europe’s complete air traffic in the upper airspace. Therefore, the TOolchain for Multicriteria Aircraft Trajectory Optimisation (TOMATO) is used for both the multicriteria optimisation of txrajectories and the calculation of the reference scenario. First, this paper gives evidence for the validity of the simulation environment TOMATO, by comparison of the integrated reference results with those of the commercial fast-time air traffic optimiser (AirTOp). Second, TOMATO is used for the multicriteria trajectory optimisation, the assessment of the trajectories and the calculation of their integrated impact on the air traffic flow management, which in turn is compared with the reference scenario. Thereby, significant differences between the reference scenario and the optimised scenario can be identified, especially considering the taskload due to frequent altitude changes and rescinded constraints given by waypoints in the reference scenario. The latter and the strong impact of wind direction and wind speed cause wide differences in the patterns of the lateral trajectories in the airspace with significant influence on the airspace capacity and controller’s taskload. With this study, the possibility of a successful 4D free route implementation into Europe’s upper airspace is proven even over central Europe during peak hours, when capacity constraints are already reaching their limits.
“…For solving multicriteria trajectory optimisation problems, two approaches have been primarily investigated. The path-finding algorithm A* and the more general Dijkstra algorithm for searching shortest paths in a graph are employed 46,47 as well as the optimal control problem approach 45,[53][54][55] , which is able to consider conflictive target functions and real weather conditions. The discrete input parameters are approximated by analytically solvable functions.…”
Multicriteria trajectory optimisation is expected to increase aviation safety, efficiency and environmental compatibility, although neither the theoretical calculation of such optimised trajectories nor their implementation into today’s already safe and efficient air traffic flow management reaches a satisfying level of fidelity. The calibration of the underlying objective functions leading to the virtually best available solution is complicated and hard to identify, since the participating stakeholders are very competitive. Furthermore, operational uncertainties hamper the robust identification of an optimised trajectory. These uncertainties may arise from severe weather conditions or operational changes in the airport management. In this study, the impact of multicriteria optimised free route trajectories on the air traffic flow management is analysed and compared with a validated reference scenario which consists of real flown trajectories during a peak hour of Europe’s complete air traffic in the upper airspace. Therefore, the TOolchain for Multicriteria Aircraft Trajectory Optimisation (TOMATO) is used for both the multicriteria optimisation of txrajectories and the calculation of the reference scenario. First, this paper gives evidence for the validity of the simulation environment TOMATO, by comparison of the integrated reference results with those of the commercial fast-time air traffic optimiser (AirTOp). Second, TOMATO is used for the multicriteria trajectory optimisation, the assessment of the trajectories and the calculation of their integrated impact on the air traffic flow management, which in turn is compared with the reference scenario. Thereby, significant differences between the reference scenario and the optimised scenario can be identified, especially considering the taskload due to frequent altitude changes and rescinded constraints given by waypoints in the reference scenario. The latter and the strong impact of wind direction and wind speed cause wide differences in the patterns of the lateral trajectories in the airspace with significant influence on the airspace capacity and controller’s taskload. With this study, the possibility of a successful 4D free route implementation into Europe’s upper airspace is proven even over central Europe during peak hours, when capacity constraints are already reaching their limits.
“…In the geographic coordinate system (taking north as the direction of x-axis, up-vertical as the direction of yaxis and the direction of z-axis is determined by the righthand rule), the coordinate of the bomb is (x, y, z), and a three-degree-of-freedom motion model [19,20] can be established as follows:…”
Section: Modeling For Laser-guided Bomb and Ground Target 31 Laser-guided Bomb Motion Modelmentioning
confidence: 99%
“…(ii) When the energy density threshold of the seeker is low With regard to Surface 2, consider Surface 2 as the combination of two surfaces. The function of Surface 2 is shown in (19).…”
Section: Simulation For Large Spherical Target Situationmentioning
confidence: 99%
“…Here we divide (19) into two parts: the exponent part and cos θ s , where the exponent part represents the influence of the atmospheric attenuation effect and cos θ s represents the influence of the target diffuse reflection. As the energy density threshold decreases, an obvious depression appears in the middle of Surface 2.…”
Section: Simulation For Large Spherical Target Situationmentioning
In laser-guided bomb attacking process, the target indication from the laser target designator is the premise for the bomb to hit the target accurately. Considering the lack of quantitative study of the irradiation area of the laser target designator, this paper, based on the existing aircraft motion model and the laser transmission model, uses two aircraft as respectively the carrier of the laser-guided bomb and the carrier of the laser designator and proposes a method to calculate the global irradiation area of the airborne laser designator. By using the proposed algorithm, the global irradiation area when attacking a large flat target or a large spherical target is simulated respectively. Finally, according to the simulation results, the influences of different factors on the shapes of the irradiation area are discussed in detail.
“…However, the majority of models that simulate trajectories do not require such accuracy, but it is feasible to reduce the complexity with a three-degrees of freedom [77], [95]- [97]. These are the models more extended, and especially the 'Total Energy Model' (TEM) developed by EUROCONTROL [88], [89].…”
Air transport is currently undergoing one of the biggest transformations in its history due to the development of the macro-programs SESAR and NextGen. To manage this growth, SESAR and NextGen are developing novel procedures that contribute to pollutant reduction in the vicinity of airports. These eco-friendly procedures are based on continuous operations throughout the flight. However, it is increasingly difficult to use flight-optimal trajectories due to the ongoing growth in air traffic. This dissertation aims to assess the impact of Continuous Climb Operations (CCOs) in a high traffic density Terminal Control Area (TMA). CCOs are new optimal departing trajectories that minimise fuel consumption, emissions and noise-levels within the vicinity of airports. In contrast to previous research, this dissertation does not focus on the optimisation techniques of these procedures but the impact in terms of safety and capacity. The reason is that the introduction of CCOs in low-density airports does not mean any impediment. However, these procedures can be prevented from their use during rush hours in high-density TMAs. The ultimate goal of the CCO integration is to permit the operation of optimised trajectories by airlines. Nonetheless, the variability associated with optimised trajectories that can be operated is very large. Airspace and procedure design, as well as Air Traffic Control (ATC), must provide an air transport system that favour the integration of CCOs. A CCO is not removed by the ATC interaction, but the aircraft worsen their performances. Then, ATC should focus on facilitating the operation of optimised trajectories free of their interactions. This cannot be achieved without the modification of current ATC techniques and airspace design. Therefore, new runway separation minima are calculated for consecutive CCOs. These CCO separation minima ensure a conflict-free departure
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