CN109740878A - A kind of solar powered aircraft continuation of the journey appraisal procedure based on net energy distribution map - Google Patents

A kind of solar powered aircraft continuation of the journey appraisal procedure based on net energy distribution map Download PDF

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CN109740878A
CN109740878A CN201811564081.2A CN201811564081A CN109740878A CN 109740878 A CN109740878 A CN 109740878A CN 201811564081 A CN201811564081 A CN 201811564081A CN 109740878 A CN109740878 A CN 109740878A
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net energy
optimal
distribution map
solar powered
powered aircraft
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王宏伦
吴健发
李娜
程珊珊
张梦华
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Beihang University
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Beihang University
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    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02B—CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO BUILDINGS, e.g. HOUSING, HOUSE APPLIANCES OR RELATED END-USER APPLICATIONS
    • Y02B10/00—Integration of renewable energy sources in buildings
    • Y02B10/10—Photovoltaic [PV]
    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02—TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02E—REDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E10/00—Energy generation through renewable energy sources
    • Y02E10/50—Photovoltaic [PV] energy

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Abstract

The present invention discloses a kind of solar powered aircraft continuation of the journey appraisal procedure based on net energy distribution map, first with the information for respectively measuring website under ASHRAE clear sky model in mission area, the solar powered aircraft energy production and consumption models of each measurement website are established, and then calculates its 24 hours flight net energies.Then Kriging interpolation method is utilized, interpolation is carried out to set mission area, so that 24 hours flight net energy distribution maps for obtaining the region are used to carry out mission area continuation of the journey assessment in real time.The optimal flying height of its net energy and its corresponding optimal net energy value then are solved to each measurement website, recycle Kriging interpolation method in set mission area the optimal flying height of net energy and optimal net energy value carry out interpolation respectively, obtain the optimal flying height distribution map of corresponding net energy and optimal net energy value distribution map.Finally, comprehensively utilizing both maps, the three-dimensional flight path of solar powered aircraft can be planned, to make it have better cruise-ability.

Description

A kind of solar powered aircraft continuation of the journey appraisal procedure based on net energy distribution map
Technical field
The solar powered aircraft continuation of the journey appraisal procedure based on net energy distribution map that the present invention relates to a kind of, belongs to aircraft and leads Boat guidance and control technology field.
Background technique
Solar powered aircraft utilizes photovoltaic module, self power is converted by solar radiant energy, to maintain to fly.Outstanding is continuous Boat performance makes solar powered aircraft be competent at some aerial missions (hereinafter referred to as big task spanning space-time) across time and space on a large scale, such as Long Range Target Tracking, high altitude surveillance monitoring, persistently communication relaying etc..It is corresponding planning and designing for this generic task Before flight path or energy management strategies, the continuation of the journey energy of all subregion in mission area to solar powered aircraft should be considered first Power is assessed in real time, and then flight path of making rational planning on the basis of assessment result.
However, from the point of view of current present Research both at home and abroad, compared to conventional fossil fuel power/electric airplane, for big The solar powered aircraft continuation of the journey appraisal procedure of this task attribute spanning space-time and its research of corresponding Route planner are still rare. For conventional fossil fuel power/electric airplane continuation of the journey assessment, since airborne energy-storage battery capacity determines relatively, and by geographical position Set influence very little, so what max-endurance and range were easy for solving, also therefore max-endurance and range often by It is selected as conventional fossil fuel power/electric airplane continuation of the journey evaluation index, and only needs to consider the boat of planning when planning air route The constraint such as road length, safe avoidance.On the contrary, the duration performance of solar powered aircraft is not only related with energy-storage battery capacity, also Dependent on shining upon situation.And it shines upon situation and is closely related with geographical location locating for solar powered aircraft.Work as the sun When energy aircraft executes big aerial mission spanning space-time, energy production situation will change with the variation of flight locations and constantly, lead to difficulty To calculate max-endurance.At the same time, when planning solar powered aircraft air route, in addition to conventional fossil fuel to be considered is dynamic Constraint involved in power/electric airplane is outer, it is necessary in view of the production status of energy, especially energy production are unevenly distributed Characteristic.Therefore, tradition continuation of the journey appraisal procedure and its Route planner expanded are not appropriate for solar powered aircraft.End mesh Before, the air route under the index and method that industry assesses solar powered aircraft continuation of the journey, and corresponding big task context spanning space-time Planing method, still ununified understanding.
Based on above-mentioned analysis, for solar powered aircraft continuation of the journey evaluation problem and routeing solution to the problem, it is necessary to Meet following three requirement:
(1) evaluation index designed by can intuitively, visually reflect when aircraft executes trans-regional aerial mission Duration performance is easy to Project Realization in addition, calculation method is answered relatively easy；
(2) appraisal procedure should be able to reflect geographical location and environmental factor (such as atmospheric temperature and density) variation to transregional The influence of aircraft duration performance in the aerial mission of domain；
(3) Route planner based on assessment result should be able to comprehensively consider the unevenness of conventional flight constraint and solar energy Even distribution character, and can be realized the planning to three-dimensional air route.
Summary of the invention
To solve the above-mentioned problems, and meet above-mentioned requirements, with reference to being commonly based on cartography in geography and meteorology Research method (such as geographical contour map, air temperature distribution figure, rainfall distribution figure etc.), propose a kind of based on net energy distribution ground The solar powered aircraft continuation of the journey appraisal procedure of figure, specifically comprises the following steps:
Step 1: the aerial mission region of solar powered aircraft, flying height, cruising speed, job start time, too are set Positive energy battery and solar powered aircraft structural parameters；
Step 2: referring to ASHRAE handbook, each under ASHRAE clear sky model in mission area set by obtaining step one Measure the information of website, including site location, locating height above sea level, relevant sun set/raise time and solar radiation parameter.And it obtains Rear 24 hours temperature informations since current time；
Step 3: each website photometric data obtained according to step 2 calculates solar powered aircraft on each website flight opportunity The received total solar irradiance P of wing instituteSA；
Step 4: information acquired in step 2 and the calculated P of step 3 institute are utilizedSA, seek each website setting flight Solar powered aircraft photovoltaic module efficiency under height；
Step 5: based on photovoltaic module efficiency striked by step 4, in conjunction with the sun set/raise time obtained in step 2 With the calculated P of institute in step 3SA, 24 hours energy production values of each website and consumption value after the calculating task time started；
Step 6: calculated 24 hours energy production values of step 5 and consumption value are subtracted each other, it is small to obtain each website 24 Shi Keyong net energy value；
Step 7: utilizing Kriging interpolation method, to 24 hours net energy values of each website in set mission area into Row interpolation is commented in real time to obtain 24 hours flight net energy distribution maps at region setting flying height lower current time Estimate the cruising ability of solar powered aircraft all subregion in mission area；
Step 8: described in step 1 to step 6 on the basis of net energy value calculation method, to each measurement website Solve the optimal flying height of its net energy and its corresponding optimal net energy value；
Step 9: optimal to the net energy in set mission area using Kriging interpolation method identical with step 7 Flying height and optimal net energy value carry out interpolation respectively, to further obtain the optimal flying height distribution of corresponding net energy Map and optimal net energy value distribution map；
Step 10: under the premise of considering conventional flight constraint, solar energy is arranged based on optimal net energy value distribution map The horizontal latitude and longitude coordinates of aircraft flight way point；
Step 11: the horizontal latitude and longitude coordinates in the optimal flying height distribution map of net energy in query steps 11 Corresponding optimal flying height；
Step 12: the three-dimensional at current time is cooked up using way point coordinate set by step 11 and step 12 Flight path；And it is optimal to update net energy for meteorological, photometric data, return step one per each website for every other hour, summarizing update Flying height distribution map and optimal net energy value distribution map, and decide whether the flight path to planning in conjunction with actual conditions It is adjusted.
The present invention has the advantages that
(1) the present invention is based on the solar powered aircraft of net energy distribution map continuation of the journey appraisal procedure, solar energy can be assessed in real time Duration performance of the aircraft in trans-regional flight, calculation method are easy.
(2) the present invention is based on the solar powered aircraft of net energy distribution map continuation of the journey appraisal procedures, being capable of intuitive, visualization Reflection geographical location and environmental factor change influence to solar powered aircraft duration performance in trans-regional aerial mission, be transregional Flight path planning in domain provides energy foundation；
(3) the present invention is based on the solar powered aircraft of net energy distribution map continuation of the journey appraisal procedure, it can be used not only for constant height Spend the planning of lower solar powered aircraft flight path, it can also be used to three-dimensional flight path planning.
Detailed description of the invention
Fig. 1 is appraisal procedure flow chart of continuing a journey the present invention is based on the solar powered aircraft of net energy distribution map；
Certain region net energy distribution map on January 1st, 2018 when Fig. 2 a is 10 km of flying height；
Certain region net energy distribution map on January 1st, 2018 when Fig. 2 b is 15 km of flying height；
Certain region net energy distribution map on January 1st, 2018 when Fig. 2 c is 20 km of flying height；
Certain region net energy distribution map on January 1st, 2018 when Fig. 2 d is 25 km of flying height；
Fig. 3 be based on net energy distribution map make rational planning for solar powered aircraft two-dimentional flight path schematic diagram；
Fig. 4 is the optimal flying height distribution map of net energy in certain region in Fig. 1；
Fig. 5 is the optimal net energy distribution map in certain region in Fig. 1；
Fig. 6 is the solar powered aircraft three-dimensional flight path schematic diagram planned based on Fig. 3 and Fig. 4.
Specific embodiment
Below in conjunction with attached drawing, the present invention is described in further detail.
The present invention is based on the solar powered aircraft of net energy distribution map continue a journey appraisal procedure, as shown in Figure 1, specifically include as Lower step:
Step 1: the aerial mission region of solar powered aircraft, flying height, cruising speed, job start time, too are set Positive energy battery and solar powered aircraft structural parameters.
Step 2: referring to ASHRAE handbook, each under ASHRAE clear sky model in mission area set by obtaining step one Measure the information, including site location, locating height above sea level, relevant sun set/raise time and solar radiation parameter etc. of website；And lead to Cross the temperature situation that weather forecast obtains latter 24 hours since current time.
Step 3: according to the information for each website that step 2 obtains, solar powered aircraft wing in each website flight is calculated The received total solar irradiance P of instituteSA。
PSACalculation method be based on ASHRAE clear sky model, it is as follows:
Wherein, Pb, PdAnd PrRespectively direct sunlight, scattering and ground return irradiation level；αeFor solar elevation, the value It changes over time, when the sun sets, αe=0；IbAnd IdThe direct solar radiation intensity that is respectively subject on unit level face and Direct scattering strength, calculation method are as follows:
Wherein, I is the total solar radiation intensity being subject on unit horizontal plane；τbAnd τdRespectively direct projection and scattering optics is deep Degree can be obtained by consulting ASHRAE handbook；B and d is respectively direct projection and scattering air quality index；mrFor optical air mass Than；I0For solar constant；ndayIt (added up since January 1, and 1) value on January 1 is for sun number of days.
Step 4: each site information acquired in step 2 and the calculated P of step 3 institute are utilizedSA, in conjunction with solar energy Component heat balance principle is lied prostrate, each website is sought and sets solar powered aircraft photovoltaic module efficiency under flying height in step 1.
For the working characteristics of photovoltaic module itself, efficiency etasolIt is affected by own temperature, substantially linear phase It closes, surface temperature is higher, ηsolIt is lower, therefore photovoltaic module efficiency can be modified to
Wherein, αηFor photovoltaic module temperature correction coefficient；TsolFor photovoltaic module surface temperature；For code test item The solar photovoltaic assembly transformation efficiency demarcated under part.
Due to photovoltaic module surface temperature TsolIt is to determine ηsolKey factor, therefore can be former according to photovoltaic module thermal balance Then, it is analyzed in conjunction with aircraft configuration feature, flying speed and altitude:
The received solar radiant energy of solar powered aircraft aerofoil photovoltaic module can generally be converted into three parts: a part conversion For electric energy, a part of heavenwards carry out heat radiation, and another part and ambient enviroment carry out heat exchange, when it is in steady operation shape When state, equation of heat balance are as follows:
Wherein, above-mentioned three parts conversion energy is followed successively by the right side of equal sign from left to right；αsolFor photovoltaic module solar radiation Absorptivity；εsolFor photovoltaic module heat radiation emissivity；σ is Stefan-Boltzmann constant；CtheFor convection transfer rate； TskyAnd TatmRespectively current effective sky temperature and local upper atmosphere environment temperature of flying, there are transforming relationships for the two.
For TskyAnd TatmTransforming relationship, be shown below:
In view of the height above sea level of measurement website influences, need using following piecewise function to TatmIt is modified:
Wherein, z is setting flying height；zlocalFor the height above sea level for measuring website；TmaFor ground survey temperature.
For the C in formula (4)the, calculation method are as follows:
Wherein, λairFor air conduction coefficient；C is aircraft wing chord length；NuFor Nusselt number；Re is Reynolds number；V For air speed；ρ is atmospheric density, and calculation method is based on International Standard Atemosphere (ISO 2533:1975)；Pr is Prandtl number；Cp For specific heat at constant pressure；μairFor air force viscosity coefficient；μ0Dry air viscosity coefficient when for 288.15K, value is by international standard Atmosphere list provides.
Composite type (3) and formula (5)-(7) and known photovoltaic module parameter: αsol、αη、εsolWithFormula (4) will become Containing only a known variables TsolBiquadratic equation, it can be solved with numerical method.Then, the T that will be solvedsolIt substitutes into In formula (3), photovoltaic module efficiency eta can be acquiredsol。
Step 5: based on photovoltaic module efficiency striked by step 4, in conjunction with the sun set/raise time obtained in step 2 With the calculated P of institute in step 3SA, calculate each sampling step length Δ T (sampling step length from 24 hours after job start time Can freely set, such as 30s, 1min etc.) PSAValue and corresponding photovoltaic module efficiency, the task of further calculating start 24 hours energy production values of each website and consumption value after time.
For 24 hours energy production valuesPhotovoltaic module electrical energy production power P is calculated firstin:
Pin=ηsolSPSA (8)
Wherein, S is wing area.
Then to PinTime integral is carried out, can be obtained
Wherein, t0For current time.
For 24 hours energy consumption valuesEnergy consumption power P is calculated firstout:
Wherein, ηpropFor propeller efficiency；ηmotFor motor and reduction gearbox power transmission efficiency；ηctrlFor drive efficiency；T For thrust；D is resistance；CDFor resistance coefficient；CD0For zero-lift drag coefficient；CLFor lift coefficient；ε is Oswald efficiency factor；Ra For aspect ratio；G is acceleration of gravity；M is Aircraft Quality.
Then to PoutTime integral is carried out, can be obtained
Step 6: calculated 24 hours energy production values of step 5 and consumption value are subtracted each other, it is small to obtain each website 24 Shi Keyong net energy valueOnly whenWhen, solar powered aircraft just has uninterrupted flight round the clock Ability.
Step 7: utilizing Kriging interpolation method, to 24 hours net energy values of each website in set mission area into Row interpolation is commented in real time to obtain 24 hours flight net energy distribution maps at region setting flying height lower current time Estimate the cruising ability of solar powered aircraft all subregion in mission area.
Since the sampled point of ASHRAE is distributed and uneven in space, Kriging interpolation method is chosen in the present invention Net energy distribution map is drawn, the interpolation precision that this method is distributed nonuniform sample point is higher.As shown in Figure 1, for difference Flying height certain region net energy distribution map in lower 1 day January in 2018.
Actually when only considering horizontal flight, using Fig. 1 as the net energy distribution map under the setting flying height of representative Two-dimentional routeing can be carried out, as illustrated in fig. 2, it is assumed that solar powered aircraft is required the B point that flies to from A point, had two long Spend roughly equal track 1 and 2, it is evident that 24 hours net energy values that track 1 is covered are higher, and solar powered aircraft flight exists Increasingly complex maneuver can be executed when track 1, and there is better cruise-ability.
Step 8: described in step 1 to step 6 on the basis of net energy value calculation method, to each measurement website Solve the optimal flying height of its net energy and its corresponding optimal net energy value.
Due to solar powered aircraft in the task of execution height envelope curve variation it is huge, It is not necessary to optimal height into The point-device solution of row, can take the mode of sampling traversal search, calculate primary corresponding net energy every 100 meters of height, Eventually by the above-mentioned net energy value every under 100 meters of height is compared, corresponding optimal height is filtered out, it is corresponding under the height Net energy value is optimal net energy value.
Step 9: optimal to the net energy in set mission area using Kriging interpolation method identical with step 7 Flying height and optimal net energy value carry out interpolation respectively, to further obtain the optimal flying height distribution of corresponding net energy Map and optimal net energy value distribution map.
The optimal flying height distribution map of the net energy in certain region and optimal net energy value distribution map are shown in figure respectively in Fig. 1 3 and Fig. 4.Wherein optimal net energy value distribution map indicates that theoretically existing maximum can be distributed mission area with net energy, right It is of great significance in planning way point position.Since optimal net energy value distribution map indicates that mission area is theoretically existing Maximum can be distributed with net energy, therefore flight path planning chart is generally base map using the figure, and above mark way point and Its height value, as shown in Figure 6.
Step 10: under the premise of considering conventional flight constraint, solar energy is arranged based on optimal net energy value distribution map The horizontal latitude and longitude coordinates of aircraft flight way point.
Step 11: the horizontal latitude and longitude coordinates in the optimal flying height distribution map of net energy in query steps 11 Corresponding optimal flying height；
Step 12: the three-dimensional at current time is cooked up using way point coordinate set by step 11 and step 12 Flight path.
Step 13: per each website for every other hour, summarizing update, meteorological, photometric data, return step one are repainted And the lower net energy distribution map of flight in 24 hours of more new settings flying height, further update the optimal flying height distribution of net energy Map and optimal net energy value distribution map, and decide whether to be adjusted the flight path of planning in conjunction with actual conditions.
Each station data of summarized update includes: the current time t in formula (9)0；t0When corresponding solar elevation αe； Sun number of days nday；Direct projection and scattering optical depth τbAnd τd(change of this two parameter is just considered when the last day of part in every month Change)；24 hours ground survey temperature T that weather forecast is predictedma。

Claims (4)

  1. The appraisal procedure 1. a kind of solar powered aircraft based on net energy distribution map is continued a journey, it is characterised in that: specific step is as follows:
    Step 1: aerial mission region, the flying height, cruising speed, job start time, solar energy of solar powered aircraft are set Battery and solar powered aircraft structural parameters；
    Step 2: ASHRAE handbook is referred to, is respectively measured under ASHRAE clear sky model in mission area set by obtaining step one The information of website, including site location, locating height above sea level, relevant sun set/raise time and solar radiation parameter.And it obtains from working as The preceding time starts rear 24 hours temperature informations；
    Step 3: each website photometric data obtained according to step 2 calculates solar powered aircraft wing institute in each website flight Received total solar irradiance PSA；
    Step 4: information acquired in step 2 and the calculated P of step 3 institute are utilizedSA, seek each website setting flying height Lower solar powered aircraft photovoltaic module efficiency；
    Step 5: based on photovoltaic module efficiency striked by step 3, in conjunction with the sun set/raise time and step obtained in step 2 The calculated P of institute in rapid threeSA, 24 hours energy production values of each website and consumption value after the calculating task time started；
    Step 6: calculated 24 hours energy production values of step 5 and consumption value are subtracted each other, and obtaining each website 24 hours can Use net energy value；
    Step 7: Kriging interpolation method is utilized, 24 hours net energy values of each website in set mission area are carried out slotting Value, to obtain 24 hours flight net energy distribution maps at region setting flying height lower current time, assessment in real time is too The cruising ability of positive energy aircraft all subregion in mission area；
    Step 8: described in step 1 to step 6 on the basis of net energy value calculation method, each measurement website is solved The optimal flying height of its net energy and its corresponding optimal net energy value；
    Step 9: using Kriging interpolation method identical with step 7 to the optimal flight of net energy in set mission area Height and optimal net energy value carry out interpolation respectively, to further obtain the optimal flying height distribution map of corresponding net energy With optimal net energy value distribution map；
    Step 10: the horizontal latitude and longitude coordinates based on optimal net energy value distribution map setting solar powered aircraft flight route point；
    Step 11: the horizontal latitude and longitude coordinates in the optimal flying height distribution map of net energy in query steps ten are corresponding Optimal flying height；
    Step 12: the three-dimensional flight road at current time is cooked up using way point coordinate set by step 10 and step 11 Line；And meteorological, photometric data, return step one per each website for every other hour, summarizing update, it repaints and more new settings flies The lower net energy distribution map of flight in 24 hours of row height further updates the optimal flying height distribution map of net energy and optimal net Energy value distribution map.
  2. 2. a kind of solar powered aircraft continuation of the journey appraisal procedure based on net energy distribution map, feature exist as described in claim 1 In: in step 3, total solar irradiance PSACircular be based on ASHRAE clear sky model, it is as follows:
    Wherein, Pb, PdAnd PrRespectively direct sunlight, scattering and ground return irradiation level；αeFor solar elevation, when the sun sets When, αe=0；IbAnd IdThe direct solar radiation intensity and direct scattering strength being respectively subject on unit level face, calculating side Method is as follows:
    Wherein, I is the total solar radiation intensity being subject on unit horizontal plane；τbAnd τdRespectively direct projection and scattering optical depth；b It is respectively direct projection and scattering air quality index with d；mrFor optical air mass ratio；I0For solar constant；ndayFor sun number of days.
  3. 3. a kind of solar powered aircraft continuation of the journey appraisal procedure based on net energy distribution map, feature exist as described in claim 1 In: in step 4, the method for obtaining solar powered aircraft photovoltaic module efficiency is as follows:
    When solar powered aircraft aerofoil photovoltaic module is in steady-working state, equation of heat balance are as follows:
    Wherein, αsolFor photovoltaic module solar radiation absorptivity；εsolFor photovoltaic module heat radiation emissivity；σ is Stefan- Boltzmann constant；CtheFor convection transfer rate；TsolFor photovoltaic module surface temperature；TskyAnd TatmRespectively current sky Effective temperature and local upper atmosphere environment temperature of flying；ηsolFor photovoltaic module Efficiency correction value；
    η in formula (3)sol、Tsky、TatmWith CthePreparation method is as follows:
    Wherein, αηFor photovoltaic module temperature correction coefficient；Solar photovoltaic assembly to demarcate under standard test conditions turns Change efficiency；
    TskyAnd TatmBetween have transforming relationship, be shown below:
    Using following piecewise function to TatmIt is modified:
    Wherein, z is setting flying height；zlocalFor the height above sea level for measuring website；TmaFor ground survey temperature；
    CtheCalculation method are as follows:
    Wherein, λairFor air conduction coefficient；C is aircraft wing chord length；NuFor Nusselt number；Re is Reynolds number；V is sky Speed；ρ is atmospheric density；Pr is Prandtl number；CpFor specific heat at constant pressure；μairFor air force viscosity coefficient；μ0For 288.15K When dry air viscosity coefficient；
    Composite type (4)-(7) and known photovoltaic module parameter: αsol、αη、εsolWithFormula 3 is solved with numerical method, is obtained To TsolIn substitution formula (4), photovoltaic module efficiency eta is obtainedsol。
  4. 4. a kind of solar powered aircraft continuation of the journey appraisal procedure based on net energy distribution map, feature exist as described in claim 1 In: in step 5, for 24 hours energy production valuesPhotovoltaic module electrical energy production power P is calculated firstin:
    Pin=ηsolSPSA (8)
    Wherein, S is wing area；
    Then to PinTime integral is carried out, can be obtained
    Wherein, t0For current time；
    For 24 hours energy consumption valuesEnergy consumption power P is calculated firstout:
    Wherein, ηpropFor propeller efficiency；ηmotFor motor and reduction gearbox power transmission efficiency；ηctrlFor drive efficiency；T is to push away Power；D is resistance；CDFor resistance coefficient；CD0For zero-lift drag coefficient；CLFor lift coefficient；ε is Oswald efficiency factor；RaFor exhibition String ratio；G is acceleration of gravity；M is Aircraft Quality；
    Then to PoutTime integral is carried out, can be obtained
CN201811564081.2A 2018-12-20 2018-12-20 A kind of solar powered aircraft continuation of the journey appraisal procedure based on net energy distribution map Pending CN109740878A (en)

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CN111310353B (en) * 2020-02-27 2022-09-06 南昌航空大学 Method for predicting influence of flight state on performance of photovoltaic cell in solar airplane
CN115906275A (en) * 2022-10-31 2023-04-04 西北工业大学 Method for rapidly evaluating energy distribution of solar aircraft based on GUI visualization
CN115906275B (en) * 2022-10-31 2023-06-16 西北工业大学 Method for rapidly evaluating energy distribution of solar aircraft based on GUI (graphical user interface) visualization

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Application publication date: 20190510