CN106781706A - Air traffic Track Design method based on wind field distribution - Google Patents

Air traffic Track Design method based on wind field distribution Download PDF

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CN106781706A
CN106781706A CN201611168868.8A CN201611168868A CN106781706A CN 106781706 A CN106781706 A CN 106781706A CN 201611168868 A CN201611168868 A CN 201611168868A CN 106781706 A CN106781706 A CN 106781706A
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air route
wind field
route section
oil consumption
model
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CN106781706B (en
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蔡开泉
刘恩钰
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Liangliang Hangke (Beijing) Technology Co.,Ltd.
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Beihang University
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    • GPHYSICS
    • G08SIGNALLING
    • G08GTRAFFIC CONTROL SYSTEMS
    • G08G5/00Traffic control systems for aircraft, e.g. air-traffic control [ATC]
    • G08G5/0073Surveillance aids
    • G08G5/0091Surveillance aids for monitoring atmospheric conditions

Abstract

The present invention provides a kind of air traffic Track Design method based on wind field distribution, and the method includes:The wind field space-time characterisation model of each air route section is set up according to wind field attribute data, according to the wind field space-time characterisation model of each air route section, set up vehicle aerodynamics model, according to vehicle aerodynamics model, it is calculated the oil consumption model of each air route section between starting point to the end, oil consumption model according to each air route section is calculated the oil consumption evaluation function of each air route section, according to the oil consumption evaluation function of each air route section, it is calculated the oil consumption cost of each air route section, oil consumption cost based on each air route section, it is determined that the air route route of the oil consumption Least-cost from starting point to the end, due to considering the influence of wind field distribution factor, the air route route of the oil consumption Least-cost of the starting point to the end for the obtaining as minimum air route of oil consumption cost of transportation.

Description

Air traffic Track Design method based on wind field distribution
Technical field
The present invention relates to the designing technique in air traffic air route, more particularly to a kind of air traffic boat based on wind field distribution Road method for designing.
Background technology
In traffic administration in the air (Air Traffic Management, abbreviation ATM) system, air traffic air route is played the part of Very important role, and the quality of flight-path seeking will directly affect the oil consumption cost of transportation of each aircraft in spatial domain.
At present, the foundation of optimal air traffic flight-path seeking be all air routes sections between starting point to the end space length it Most short air route, but due to the influence of wind-engaging field distribution factor, the most short air route of the space length is not oil consumption transport The minimum air route of cost.
The content of the invention
The present invention provide it is a kind of based on wind field distribution air traffic Track Design method so that consider wind field distribution because Under the influence of element, the air route selected by the method is the minimum air route of oil consumption cost of transportation.
The present invention provides a kind of air traffic Track Design method based on wind field distribution, including:
Wind field attribute data is obtained and counts, according to the wind field attribute data, it is established that each air route between putting to terminal The wind field space-time characterisation model of section;
According to the wind field space-time characterisation model of each air route section, vehicle aerodynamics model is set up;
According to the vehicle aerodynamics model, the oil consumption of each air route section between the starting point to the end is calculated Model;
According to the quantity of the upper aircraft of each air route section, and each air route section oil consumption model, be calculated each The oil consumption evaluation function of air route section;
According to the oil consumption evaluation function of each air route section, the oil consumption cost of each air route section is calculated;
Based on the oil consumption cost of each air route section, it is determined that the air route route of the oil consumption Least-cost from starting point to the end.
Optionally, it is described to obtain and count wind field attribute data, according to the wind field attribute data, it is established that point is to terminal Between each air route section wind field space-time characterisation model before, also include:
Starting point, the terminal in air route are obtained, classification treatment is carried out to the way point between the starting point, terminal, obtain at different levels Way point;
Sliding-model control is carried out to the way points at different levels, at least one way point in each classification is determined;
Each air route section is the route between any two way point between each adjacent classification.
Optionally, it is described to obtain and count wind field attribute data, according to the wind field attribute data, it is established that point is to terminal Between each air route section wind field space-time characterisation model, including:
The wind field attribute data includes:North and south wind field observation data;
Numerical simulation is carried out to north and south wind field observation data, the wind field point of each air route section between starting point to the end is obtained Cloth parameter;
According to the wind field distributed constant, the wind field space-time characterisation model is set up.
Optionally, the wind field space-time characterisation model according to each air route section, sets up vehicle aerodynamics mould Type, including:
Wind field distributed constant in wind field space-time characterisation model based on each air route section, and aircraft quality, Aircraft is set up the aircraft air and is moved at the thrust and resistance coefficient of flight course, vertical load factor and inclination angle Mechanical model, wherein the vehicle aerodynamics model includes:Speed of the aircraft in flight course, course angle, fly Row path angle, horizontal level, height.
Optionally, it is described according to the vehicle aerodynamics model, it is calculated between the starting point to the end each The oil consumption model of air route section, including:
Speed, course angle, the flight of aircraft in the vehicle aerodynamics model in flight course Path angle, horizontal level, height, and vertical load factor and inclination angle, the initial time of air route section and termination time, meter Calculation obtains the oil consumption model of each air route section.
Optionally, the oil consumption model of the quantity that aircraft is gone up according to each air route section, and each air route section, The oil consumption evaluation function of each air route section is calculated, including:
According to the quantity of each upper aircraft of air route section, by the oil consumption model of each aircraft in each air route section It is added, is calculated the oil consumption evaluation function of each air route section.
Optionally, the oil consumption evaluation function according to each air route section, is calculated the oil consumption cost of each air route section, Including:
In formula, i, j are any two way point, G between adjacent classificationi,jIt is the oil consumption generation of any air route section between adjacent classification Valency;dijIt is the distance of any air route section between adjacent classification;PijIt is the oil consumption evaluation function of any air route section between adjacent classification.
Optionally, the oil consumption cost based on each air route section, it is determined that from the oil consumption Least-cost of starting point to the end Air route route, including:
Based on the oil consumption cost of each air route section, using Di Jiesitela dijkstra's algorithms, it is determined that from starting point to end The air route route of the oil consumption Least-cost of point.
Optionally, it is described that numerical simulation is carried out to north and south wind field observation data, obtain respectively being navigated between starting point to the end The wind field distributed constant in section includes:
According to default division condition, north and south wind field observation data are classified, obtain sorted north and south wind field Observation data;
Numerical simulation is carried out respectively to the sorted north and south wind field observation data, the starting point of each classification is obtained The wind field distributed constant of each air route section between to terminal.
Optionally, the default division condition is at least following one kind:Season, weather.
Knowable to embodiments of the invention, the wind field space-time characterisation mould of each air route section is set up according to the wind field attribute data Type, according to the wind field space-time characterisation model of each air route section, sets up vehicle aerodynamics model, according to the aircraft Aerodynamics Model, is calculated the oil consumption model of each air route section between the starting point to the end, according to each air route section Oil consumption model be calculated the oil consumption evaluation function of each air route section, according to the oil consumption evaluation function of each air route section, calculate To the oil consumption cost of each air route section, based on the oil consumption cost of each air route section, it is determined that from the oil consumption generation of starting point to the end The minimum air route route of valency, due to considering the influence of wind field distribution factor, the oil consumption cost of the starting point to the end for obtaining Minimum air route route is the minimum air route of oil consumption cost of transportation.
Brief description of the drawings
Fig. 1 is the flow chart of the air traffic Track Design method based on wind field distribution shown in an exemplary embodiment;
The flow of air traffic Track Design methods based on wind field distribution of the Fig. 2 shown in another exemplary embodiment Figure;
Fig. 3 is the route schematic diagram between any two way point between the adjacent classification of starting point to the end in Fig. 2.
Specific embodiment
To make the purpose, technical scheme and advantage of the embodiment of the present invention clearer, below in conjunction with the embodiment of the present invention In accompanying drawing, the technical scheme in the embodiment of the present invention is clearly and completely described, it is clear that described embodiment is A part of embodiment of the present invention, rather than whole embodiments.Based on the embodiment in the present invention, those of ordinary skill in the art The every other embodiment obtained under the premise of creative work is not made, belongs to the scope of protection of the invention.
Fig. 1 is the flow chart of the air traffic Track Design method based on wind field distribution shown in an exemplary embodiment, The method includes:
Step 101, obtain and count wind field attribute data, according to wind field attribute data, it is established that point to terminal between it is each The wind field space-time characterisation model of air route section.
Wherein, wind field attribute data includes:North and south wind field observation data;Wherein, wind field observation data in north and south are wind field Coordinate position, and the corresponding wind speed of coordinate position, wind direction;Wherein coordinate position is longitude, dimension;
Wherein, according to wind field attribute data, it is established that the wind field space-time characterisation model of each air route section between putting to terminal Before, can also include:To carrying out deleting pre- comprising the obvious non-compliant bad point in wind speed, wind direction wind field attribute data Treatment;
Wherein, wind field space-time characterisation model includes wind field distributed constant, such as north wind parameter, east wind parameter.
Step 102, the wind field space-time characterisation model according to each air route section, set up vehicle aerodynamics model.
Wherein, the wind field distributed constant (e.g., north wind parameter, east wind parameter) for being included according to wind field space-time characterisation model, builds Vertical vehicle aerodynamics model.
Step 103, according to vehicle aerodynamics model, be calculated the oil consumption of each air route section between starting point to the end Model.
Step 104, the quantity according to each air route upper aircraft of section, and each air route section oil consumption model, be calculated each The oil consumption evaluation function of air route section.
Wherein, the busy extent of air route section, each air route Duan Shangfei of the quantity representative according to each air route upper aircraft of section The quantity of row device is more, and busy extent is higher, and its oil consumption evaluation function is higher;Conversely, its oil consumption evaluation function is lower.
Step 105, the oil consumption evaluation function according to each air route section, are calculated the oil consumption cost of each air route section.
Step 106, the oil consumption cost based on each air route section, it is determined that the boat of the oil consumption Least-cost from starting point to the end Road route.
Knowable to above-described embodiment, the wind field space-time characterisation model of each air route section is set up according to wind field attribute data, according to The wind field space-time characterisation model of each air route section, sets up vehicle aerodynamics model, according to vehicle aerodynamics model, The oil consumption model of each air route section between starting point to the end is calculated, the oil consumption model according to each air route section is calculated each air route The oil consumption evaluation function of section, according to the oil consumption evaluation function of each air route section, is calculated the oil consumption cost of each air route section, based on each boat The oil consumption cost in section, it is determined that the air route route of the oil consumption Least-cost from starting point to the end, due to consider wind field distribution because The influence of element, the air route route as minimum air route of oil consumption cost of transportation of the oil consumption Least-cost of the starting point to the end for obtaining.
The flow of air traffic Track Design methods based on wind field distribution of the Fig. 2 shown in another exemplary embodiment Figure, on the basis of above-described embodiment, the method includes:
Step 201, the starting point, the terminal that obtain air route, classification treatment is carried out to the way point between starting point, terminal, is obtained Way points at different levels.
As shown in figure 3, starting point is designated as A, terminal is designated as B, and way point is designated as C, and the way point that will be close to starting point A is divided into One-level way point, the way point near first order way point is divided into second level way point, by that analogy, obtains different stage Way point.
Step 202, sliding-model control is carried out to way points at different levels, determine at least one way point in each classification, respectively Air route section is the route between any two way point between each adjacent classification.
As shown in figure 3, starting point A between B is to terminal to obtain way points at different levels by step 201, by starting point A to terminal Way point between the every adjacent classification of B is sequentially connected, and is not connected between the way point of principle this grade of its connection, way points at different levels Between connect two-by-two, so obtain the discrete grid chart of way points of the starting point A to terminal between B, each air route in grid chart Section is the route between any two way point between each adjacent classification.
As shown in figure 3, each two way point between first order way point and second level way point is attached obtaining By each air route section between first order way point and second level way point.
Step 203, obtain and count wind field attribute data, according to wind field attribute data, it is established that point to terminal between it is each The wind field space-time characterisation model of air route section.
Wherein, wind field attribute data includes:North and south wind field observation data;Wherein, wind field observation data in north and south are wind field Coordinate position, and the corresponding wind speed of coordinate position, wind direction;Wherein coordinate position is longitude, dimension;
Wherein, according to wind field attribute data, it is established that the wind field space-time characterisation model of each air route section between putting to terminal Before, can also include:To carrying out deleting pre- comprising the obvious non-compliant bad point in wind speed, wind direction wind field attribute data Treatment.
The wind field distributed constant of the Various Seasonal of each air route section, including north wind parameter vw,NorthWith east wind parameter vw,East, number Value simulates formula:
In formula, vWIt is the size of wind speed, χWIt is wind direction.
Step 204, the wind field space-time characterisation model according to each air route section, set up vehicle aerodynamics model.
Specifically, the matter of the wind field distributed constant in the wind field space-time characterisation model based on each air route section, and aircraft Amount, aircraft set up aircraft air force at the thrust and resistance coefficient of flight course, vertical load factor and inclination angle Model is learned, wherein vehicle aerodynamics model includes:Speed, course angle, flight path of the aircraft in flight course Angle, horizontal level, height.
Wherein, vehicle aerodynamics model is mainly made up of the differential equation of sextuple degree, is represented respectively per dimension Speed v, course angle χ, flight path angle γ, horizontal level (longitude e, dimension n) and height h of the aircraft in flight course.
Wherein, speed v approximate value of the aircraft in flight course is vacuum value of velocity vTAS, when aircraft is with Chang Mahe During number flight, vacuum value of velocity is definedIn formula, Ma is Mach number;κ is adiabatic exponent, value 1.4, and R is Air gas constant is 287.05;T is the temperature at current time.
By the north wind v of the wind field distributed constant in above-mentioned wind field space-time characterisation modelw,NorthWith east wind vw,East, substitute into and fly Row device Aerodynamics Model, obtains equation below:
In formula, m is the quality of table aircraft, and T and D is respectively the suffered thrust in flight course of aircraft and resistance Power, nzIt is vertical load factor, μ is inclination angle, vw,North,vw,EastIt is the north wind and east wind of wind field distributed constant.
Specifically, above-mentioned aircraft can be civil aircraft.
Step 205, according to vehicle aerodynamics model, be calculated the oil consumption of each air route section between starting point to the end Model.
Specifically, speed of the aircraft in vehicle aerodynamics model in flight course, course angle, fly Row path angle, horizontal level, height, and vertical load factor and inclination angle, the initial time of air route section and termination time, It is calculated the oil consumption model of each air route section.
Wherein, oil consumption model is mainly the object function restricted by air route length, and its formula is as follows:
In formula, x (t)=[v (t) χ (t) γ (t) e (t) n (t) h (t)]T, u (t)=[nZ(t)μ(t)]T, tfAnd t0For any The initial time of air route section and termination time.
Step 206, the quantity according to each air route upper aircraft of section, and each air route section oil consumption model, be calculated each The oil consumption evaluation function of air route section.
Specifically, according to the lift and resistance coefficient of the upper each aircraft of air route section, it is calculated each in each air route section section flying The oil consumption model of row device;The oil consumption model of the upper each aircraft of each air route section is added, the oil consumption evaluation of each air route section is calculated Function.
BADA databases have pre-saved the model of different aircraft, and different model aircraft lift and resistance system Number;
The lift and resistance coefficient of air route section aircraft are obtained from BADA databases, above-mentioned oil consumption model is substituted into, obtained To the oil consumption model of the upper each aircraft of individual air route section, the oil consumption model of the upper each aircraft of each air route section is added, be calculated each The oil consumption evaluation function of air route section, oil consumption evaluation function formula is as follows:
In formula, PijIt is oil consumption evaluation function, M is the quantity of the upper aircraft of air route section.
Step 207, the oil consumption evaluation function according to each air route section, are calculated the oil consumption cost of each air route section.
Specifically, according to the oil consumption evaluation function of each air route section, the oil consumption cost of each air route section is calculated, including:
In formula, i, j are any two way point, G between adjacent classificationi,jIt is the oil consumption generation of any air route section between adjacent classification Valency;dijIt is the distance of any air route section between adjacent classification;PijIt is the oil consumption evaluation function of any air route section between adjacent classification.
As can be seen from the above equation, d is worked asijMinimum value be 0 when, Gi,jIt is meaningless, represent that air route section can not fly.Each air route The oil consumption evaluation function P of sectionijIt is bigger, oil consumption cost Gi,jAlso it is bigger.
Step 208, the oil consumption cost based on each air route section, it is determined that the boat of the oil consumption Least-cost from starting point to the end Road route.
Specifically, based on each air route section oil consumption cost, using Di Jiesitela dijkstra's algorithms, it is determined that from starting point to The air route route of the oil consumption Least-cost of terminal.
Knowable to above-described embodiment, the wind field space-time characterisation model of each air route section is set up according to wind field attribute data, according to The wind field space-time characterisation model of each air route section, sets up vehicle aerodynamics model, according to vehicle aerodynamics model, The oil consumption model of each air route section between starting point to the end is calculated, the oil consumption model according to each air route section is calculated each air route The oil consumption evaluation function of section, according to the oil consumption evaluation function of each air route section, is calculated the oil consumption cost of each air route section, based on each boat The oil consumption cost in section, it is determined that the air route route of the oil consumption Least-cost from starting point to the end, due to consider wind field distribution because The influence of element, the air route route as minimum air route of oil consumption cost of transportation of the oil consumption Least-cost of the starting point to the end for obtaining.
On the basis of above-described embodiment,
Optionally, numerical simulation is carried out to north and south wind field observation data, obtains the wind of each air route section between starting point to the end Field distribution parameter includes:
According to default division condition, north and south wind field observation data are classified, obtain sorted north and south wind field observation Data;Numerical simulation is carried out respectively to sorted north and south wind field observation data, is obtained between the starting point to the end of each classification The wind field distributed constant of each air route section.
Optionally, preset division condition and be at least following one kind:Season, weather.
One of ordinary skill in the art will appreciate that:Realizing all or part of step of above-mentioned each method embodiment can lead to The related hardware of programmed instruction is crossed to complete.Foregoing program can be stored in a computer read/write memory medium.The journey Sequence upon execution, performs the step of including above-mentioned each method embodiment;And foregoing storage medium includes:ROM, RAM, magnetic disc or Person's CD etc. is various can be with the medium of store program codes.
Finally it should be noted that:Various embodiments above is merely illustrative of the technical solution of the present invention, rather than its limitations;To the greatest extent Pipe has been described in detail with reference to foregoing embodiments to the present invention, it will be understood by those within the art that:Its according to The technical scheme described in foregoing embodiments can so be modified, or which part or all technical characteristic are entered Row equivalent;And these modifications or replacement, the essence of appropriate technical solution is departed from various embodiments of the present invention technology The scope of scheme.

Claims (10)

1. it is a kind of based on wind field distribution air traffic Track Design method, it is characterised in that including:
Wind field attribute data is obtained and counts, according to the wind field attribute data, it is established that each air route section between putting to terminal Wind field space-time characterisation model;
According to the wind field space-time characterisation model of each air route section, vehicle aerodynamics model is set up;
According to the vehicle aerodynamics model, the oil consumption mould of each air route section between the starting point to the end is calculated Type;
According to the quantity of the upper aircraft of each air route section, and each air route section oil consumption model, be calculated each air route The oil consumption evaluation function of section;
According to the oil consumption evaluation function of each air route section, the oil consumption cost of each air route section is calculated;
Based on the oil consumption cost of each air route section, it is determined that the air route route of the oil consumption Least-cost from starting point to the end.
2. method according to claim 1, it is characterised in that the acquisition simultaneously counts wind field attribute data, according to described Wind field attribute data, it is established that between putting to terminal before the wind field space-time characterisation model of each air route section, also include:
Starting point, the terminal in air route are obtained, classification treatment is carried out to the way point between the starting point, terminal, obtain air routes at different levels Point;
Sliding-model control is carried out to the way points at different levels, at least one way point in each classification is determined;
Each air route section is the route between any two way point between each adjacent classification.
3. method according to claim 1, it is characterised in that the acquisition simultaneously counts wind field attribute data, according to described Wind field attribute data, it is established that the wind field space-time characterisation model of each air route section between putting to terminal, including:
The wind field attribute data includes:North and south wind field observation data;
Numerical simulation is carried out to north and south wind field observation data, the wind field distribution ginseng of each air route section between starting point to the end is obtained Number;
According to the wind field distributed constant, the wind field space-time characterisation model is set up.
4. method according to claim 3, it is characterised in that the wind field space-time characterisation mould according to each air route section Type, sets up vehicle aerodynamics model, including:
Wind field distributed constant in wind field space-time characterisation model based on each air route section, and aircraft quality, flight Device sets up the vehicle aerodynamics at the thrust and resistance coefficient of flight course, vertical load factor and inclination angle Model, wherein the vehicle aerodynamics model includes:Speed, course angle, flight road of the aircraft in flight course Footpath angle, horizontal level, height.
5. method according to claim 4, it is characterised in that described according to the vehicle aerodynamics model, meter Calculation obtains the oil consumption model of each air route section between the starting point to the end, including:
Speed, course angle, the flight path of aircraft in the vehicle aerodynamics model in flight course Angle, horizontal level, height, and vertical load factor and inclination angle, the initial time of air route section and termination time, calculate To the oil consumption model of each air route section.
6. method according to claim 5, it is characterised in that the quantity according to each upper aircraft of air route section, And the oil consumption model of each air route section, the oil consumption evaluation function of each air route section is calculated, including:
According to the quantity of each upper aircraft of air route section, by the oil consumption model phase of each aircraft in each air route section Plus, it is calculated the oil consumption evaluation function of each air route section.
7. method according to claim 1, it is characterised in that the oil consumption evaluation function according to each air route section, The oil consumption cost of each air route section is calculated, including:
G i , j = 1 exp ( m i n ( d i j ) / P i j ) - 1 × P i j
In formula, i, j are any two way point, G between adjacent classificationi,jIt is the oil consumption cost of any air route section between adjacent classification;dij It is the distance of any air route section between adjacent classification;PijIt is the oil consumption evaluation function of any air route section between adjacent classification.
8. method according to claim 2, it is characterised in that the oil consumption cost based on each air route section, it is determined that From the air route route of the oil consumption Least-cost of starting point to the end, including:
Based on the oil consumption cost of each air route section, using Di Jiesitela dijkstra's algorithms, it is determined that from starting point to the end The air route route of oil consumption Least-cost.
9. method according to claim 3, it is characterised in that described that Numerical-Mode is carried out to north and south wind field observation data Intend, the wind field distributed constant for obtaining each air route section between starting point to the end includes:
According to default division condition, north and south wind field observation data are classified, obtain sorted north and south wind field observation Data;
Numerical simulation is carried out respectively to the sorted north and south wind field observation data, the starting point of each classification to end is obtained The wind field distributed constant of each air route section between point.
10. method according to claim 9, it is characterised in that the default division condition is at least following one kind:Season Section, weather.
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CN107544532B (en) * 2017-10-11 2020-07-03 中国人民解放军63653部队 Long-range high-altitude flight mission planning method for low-altitude airship
CN111696389A (en) * 2020-05-29 2020-09-22 航科院中宇(北京)新技术发展有限公司 Aircraft fuel estimation method and system based on flight plan

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