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Above: an InView unmanned aircraft prior to take-off.
We provide design guidelines for a Unmanned Aircraft based on a payload and a
range specification:
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take off weight
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wingspan
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length
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endurance speed
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endurance time
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weight of fuel
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weight of avionics
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endurance engine power
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engine weight
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airframe weight
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price
The Unmanned Aircraft data used was first checked in detail for consistency
using our
UAV Analysis Utility
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If you have additional, or, better, suggestions in respect of design guidelines
for a UAV, we would be pleased to add your contribution and credit you for the
information.
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Unmanned Aircraft Designer Version 1.4
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This is the first prototype UAV Design Utility. It will give you a rough idea of
the UAV characteristics based on the UAV payload weight in kilograms and on the
range required.
Note that we have converted a Microsoft EXCEL spreadsheet to an HTML script
using the SpreadsheetConverter software, and have incorporated the resultant
HTML script in this web page. Consequently, depending on the security setting on
your computer, you might be asked whether you would like to allow your computer
to run the following HTML script.
I have noticed that the UAV Design Utility can become corrupted. If you find it
is not working, please drop me an email and I will upload a working copy of the
utility. My email address is:
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Version
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Comments
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1.4
14 May 07
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We have changed the calculation of the engine power at endurance speeds to a
calculation of the maximum engine power for improved accuracy.
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1.3
12 May 07
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We have introduced the concept of a " characteristic distance" = D and have
changed the expression used to calculate the weight of the fuel. The expression
used to predict the price per UAV has been changed from 19.44*(W
p
l
* sqrt( Range ))
0.46
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1.2
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We have modified the expression used to predict the price of the UAV, to try to
remove the costs associated with expensive avionics and sensor systems on
military UAVs.
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1.1
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We have corrected an error in the calculation of the engine weight, and have
added an estimation of the UAV cost. We have also refined some of the
coefficients used in the calculations, as indicated in the UAV design guidelines
below.
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These are design
guidelines
based on trends identified from the best data we can get for existing Unmanned
Air Vehicles. These guidelines are for UAVs fitted with either four stroke or
Wankel engines. Two stroke engines are not very fuel efficient, although they do
have a high power-to-weight ratio. I have left off two stroke engines because we
are mostly interested in long range UAVs that can be used in geophysical survey
work. UAVs powered by gas turbines tend to be the larger UAVs, and these are at
present not considered since we are in this case mostly interested in the
smaller UAVs.
The design process for a UAV to be used in a survey application starts with the
weight of the PayLoad Wpl and the Range. From the plot below we have deduced a
relationship that allows one to estimate the take off weight, Wto. Remember
these are guidelines for use with UAVs in which either four stroke or Wankel
engines are used. The data used in the trend analysis has been based on:
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W
TakeOff
= 0.183*(W
TakeOff
* W
PayLoad
)
0.653
= [Kg]
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WTakeOff = takeoff weight in Kg
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WPayload = payload weight in Kg
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Range in Km
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WingSpan = 1.041*W
TakeOff
0.382
= [m]
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Wtakeoff = takeoff weight in Kgs
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Data for the Shadow 200 and the Hermes 180 has not been included.
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UAV
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Wto
[Kg]
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wingspan = W
[m]
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length = L
[m]
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WS / L
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Aerosonde I
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13.1
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2.86
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1.74
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1.644
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Hermes 450
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450
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10.50
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6.10
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1.721
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Predator MQ-1
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1020
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14.84
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8.14
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1.823
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Hermes 1500
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1650
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18.00
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9.40
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1.915
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average
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1.775
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Length = WingSpan / 1.775 = [m]
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Given the scatter in the above data, simply assume an endurance speed of 100
Kph.
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endurance speed = V
endure
= 100 Kph.
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Typically, V
endure
is from 75 to 125 Kph.
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endurance time = T = Range / V
endure
= [hr]
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For a flight at constant speed, we have assumed the power required to keep the
plane moving is directly proportional to the total weight of the plane, which
decreases in a non-linear manner with time as the fuel is used up. The weight of
the plane at a distance = x is given by W(x) = W
to
* exp( - x / D ), where W
to
is the take-off weight of the plane, and D is a figure-of-merit for the plane we
call the " characteristic distance&quo
D = R / ln (W
to
/ W
nf
)
where R is the range, W
to
is the take off weight and W
nf
is the weight of the of the plane with no fuel on board. For simplicity, it is
assumed that at the end of the UAV flying a distance = R, there is no fuel left
on the UAV.
Above is a plot of D figure-of-merit values for several well known UAVs. There
is quite a spread. The higher the D value, the more efficient the UAV. The
average value is 6,966 Km if we ignore the low values for the Shadow 200 and the
Hermes 180. The Characteristic Distance " D" figure-of-merit value, or
efficiency measure, for the UAV, is the distance the UAV flies per Kg of total,
time dependent (since the UAV gets lighter as it uses up the fuel), aircraft
weight,
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weight of fuel = Wf = W
to
* ( 1 - exp( - R / D ) = [Kg]
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D = characteristic distance of the UAV = 7,200 Km from minimisation of sum of
squares error values. Since the D value can vary so much from UAV to UAV, we
have included this as an input parameter in the UAV Designer Utility.
If we plot a histogram, as shown above, comparing the actual versus the
predicted weight of the fuel for several UAVs, and then perform a least squares
minimisation of the sum of the errors as a function of the D value, we conclude
that we minimise the errors for the above UAVs when D = 7,200 Km. We have
ignored the comparison for the Shadow 200 and the Hermes 180 since these two
UAVs have low Characteristic Distance figures-of-merit.
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Maximum engine power = Peng_max = 0.169 * W
to
0.927
= [Watts]
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with W
to
= the takeoff weight in Kg
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we have included the electrical power required for the payload, and assumed an
efficiency of 80% for the conversion of mechanical power into electrical power.
Some brushless electrical motors have an efficiency rating above 80%.
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For a four stroke engine, Pout = 0.073 * x + 0.031 for Pout in KWatts, where x
is the engine capacity in cc. The engine capacity = CAP is given by:
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CAP = (Peng_max - 0.031) / 0.073 = [cc]
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Peng_end = power of the engine at endurance speeds in KWatts
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For a 4 stroke engine, the power-to-weight ratio = R
ptw
= 1.814 KW / Kg
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For a Wankel engine, the power-to-weight ratio = R
ptw
= 2.3 KW / Kg
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Engine weight = Weng = Peng_max / R
ptw
= [Kg]
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Weng = weight of the engine in Kg
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Peng_max = the maximum engine power in KWatts
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Rptw = the power-to-weight ratio for the engine in KWatts / Kg
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airframe + avionics weight = Waf = W
to
- Wpl - Wf - Weng = [Kg]
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The airframe weight includes the weight of the avionics.
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Derived from some data in the US DoD uav_roadmap2005.pdf document.
This is one of the most difficult charts, since we wish to remove the costs
associated with the sensor systems that are typically to be found on military
UAVs. Consequently, we have removed the data points for the Predator UAV and the
Global Hawk UAV, since these UAVs carry very expensive avionics, communications
and sensor systems.
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estimated price per UAV = 0.921*(W
p
l
* Range )
0.600
= [$K_FY02]
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Wpl = weight of the payload in Kg
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Range = range in Km
So, here you have the basis for a
rudimentary
Unmanned Air Vehicle design based on relationships derived from some existing
UAVs. Additionally, you have a rough price guide, albeit based on FY02 $K
values. Treat these estimates as very approximate guidelines: we have derived
the data from the US DoD uav_roadmap2005.pdf and have no way of knowing any of
the details about the financial arrangements.
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The importance of the UAV life cycle
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Above from the presentation by Peter Bockelmann on " The importance of logistics
for all lifecycles of a UAV system" at the UAV 2007 Conference in Paris.
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