Lateral Navigation Optimization Considering Winds and Temperatures for Fixed Altitude Cruise Using Dijsktra’s Algorithm

Murrieta-Mendoza, Alejandro; Botez, Ruxandra Mihaela

doi:10.1115/imece2014-37570

Cited by 23 publications

(12 citation statements)

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“…Algorithms have been developed to optimise trajectories and reduce fuel consumption (17)(18)(19)(20)(21)(22)(23)(24)(25)(26)(27) , but these algorithms have only been applied for the cruise phase, the descent phase, or the climb -cruise -descent phase, without considering the missed approach procedure. Calculating the cost of a missed approach is needed in order to optimise aircraft trajectories and save fuel while following a given missed approach procedure.…”

Section: June 2016 the Aeronautical Journalmentioning

confidence: 99%

New method to compute the missed approach fuel consumption and its emissions

Murrieta-Mendoza

Botez

2016

Aeronaut. j.

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The aeronautical industry has set for itself important environmental goals, creating the need of improved tools for measuring the polluting emissions generated by fuel burn. This paper describes a new method to estimate the fuel burn and the pollution generated by a landing approach and also for a missed approach procedure. Fuel emission estimations can be used to compare the costs of different routes. The method developed in this paper uses the Emissions Guide Book developed by the European Environment Agency as the needed database for the computations. This method gives estimations of the fuel burn and emissions, including the amounts of CO, NOx, HC, EICO, EINOx and EIHC for a given flight as its output. The flight computation is divided into two sections: one section for the aircraft's travelled distance and a second section for the time an aircraft flies under certain flight modes. Since this method computes the missed approach fuel and emissions contribution, it computes the burn for a given descent approach for a successful landing, as well as for the same descent approach with a missed approach procedure followed by a successful landing. These two landings are verified in a complete flight to study the missed approach contribution for a conventional mid-range flight. The results show that a descent with the missed approach procedure requires 5.7 times more fuel than a normal, successful descent. This extra fuel burn increases the pollution released to the atmosphere and would impact the airlines’ profit margin due to the added fuel costs and longer flight times, as well as any future economic measures imposed on the increased air and noise pollution.

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Section: June 2016 the Aeronautical Journalmentioning

confidence: 99%

New method to compute the missed approach fuel consumption and its emissions

Murrieta-Mendoza

Botez

2016

Aeronaut. j.

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“…Different algorithms have been developed to take advantage of weather to reduce flight cost. The techniques used for this algorithms are the Dijkstra's algorithm [32,33], and the genetic algorithms. The possibility of optimizing the lateral and vertical reference trajectories at the same time has been explored [17,34].…”

Section: Introductionmentioning

confidence: 99%

Lateral Reference Trajectory Algorithm Using Ant Colony Optimization

Murrieta-Mendoza

Hamy

Botez

2016

16th AIAA Aviation Technology, Integration, and Operations Conference

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The aeronautical industry requires important quantities of fossil fuel to sustain flights. Fuel burn releases pollution particles to the atmosphere such as carbon dioxide. The aeronautical industry has set itself the goal of diminishing CO 2 emissions for the forthcoming years. A way of reducing fuel consumption is by improving en-route operations. For long haul flights, cruise is the flight stage that requires the most fuel consumption. Taking advantage of tailwinds reduces the flight time, thus reducing the fuel requirements. In this paper, an algorithm based on the Ant Colony Optimization was developed to optimize the lateral navigation reference trajectory of a commercial aircraft. Following a constant flight level, the algorithm was able to identify favorable wind areas, and to lead the aircraft to take advantage of these winds to optimize the flight cost. The aircraft model was a numerical performance model constructed from experimental flight data, where weather information was obtained by using information from Weather Canada. Results showed important fuel savings for different long haul flights. NomenclatureCDA = Continuous Descent Approach CDG = Paris Charles De Gaulle International airport (France) CI = Cost Index LNAV = Lateral Navigation NRT = Tokyo Narita International Airport (Japan) Pherom i = Pheromone level at a given path. PDB = Performance Database P i = Waypoint Selection Probability PTP = International Airport of Point à Pitre (Guadeloupe) TOC = Top of climb TOD = Top of decent VNAV = Vertical Navigation WA = Wind Azimuth WS = Wind Speed YUL = Montreal Pierre Eliot Trudeau International Airport (Canada) γ = Pheromone evaporation rate

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“…The Dijkstra's algorithm was implemented for general aircraft to avoid obstacles [25]. The Dijkstra's algorithm was also used to look for winds to reduce the flight cost during cruise [26]. A*, a variation of Dijsktra's algorithm was used in [27] to find the optimal trajectory while avoiding objects representing weather constraints .…”

Section: Introductionmentioning

confidence: 99%

Vertical Reference Flight Trajectory Optimization with the Particle Swarm Optimisation

Murrieta-Mendoza¹,

Ruiz²,

Botez³

2017

Modelling, Identification and Control

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The consumption of fossil fuels in order to power flights leads to undesirable pollution particles to be released to the atmosphere. Fuel also represents an important expense for airlines. For these reasons, it is of interest to reduce fuel burn for a given flight. In this article, the altitudes followed by a commercial aircraft during the cruise phase of a flight, also called vertical reference trajectory, were optimized in terms of fuel burn. The airspace was modelled under the form of a unidirectional graph. Fuel burn was computed using a numerical performance model. The weather forecast was obtained from the model delivered by Environment Canada. The selection of waypoints where to execute the changes in altitudes that provided the most economical flight cost in terms of fuel burn was determined using the particle swarm optimisation (PSO) algorithm. The trajectories provided by the algorithm developed in this paper were compared against simple geodesic trajectories to validate its optimization potential, and against as flown trajectories. Results have showed that up to 6.5% of fuel burn can be saved comparing against simple trajectories, and up to 3.1% was optimized comparing against as flown trajectories.

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Lateral Navigation Optimization Considering Winds and Temperatures for Fixed Altitude Cruise Using Dijsktra’s Algorithm

Cited by 23 publications

References 0 publications

New method to compute the missed approach fuel consumption and its emissions

New method to compute the missed approach fuel consumption and its emissions

Lateral Reference Trajectory Algorithm Using Ant Colony Optimization

Vertical Reference Flight Trajectory Optimization with the Particle Swarm Optimisation

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