Aircraft Design Education y 2011 Balázs GÁTI.: Performace Calculation for UAVs 10th European Workshop on Naples, 24-27 May
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Balázs GÁTI.: Performace Calculation for UAVs
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Team Project:
• 3-5 Students
• Cooperation
To develop a tool:
• To analyze the performance of a given configuration
Balázs GÁTI.: Performace Calculation for UAVs
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• To analyze the performance of a given configuration
• Compare the performance of configuration candidates
Method:
• Power required (Lifting surfaces + fuselage)
• Power available (Engine + Propeller)
• Analysis of Penauld-diagram
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• High-order panel method (XFoil)
Balázs GÁTI.: Performace Calculation for UAVs
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• High-order panel method (XFoil)
• Lifiting Line Theory,
• Vortex Lattice Method
• 3D Panel Method
• Textfile Output
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Correction of drag:
• kd, Drag Factor
Fuselage effect:
• C , Fuselage Form Drag Factor
Balázs GÁTI.: Performace Calculation for UAVs
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• Cd0_fus, Fuselage Form Drag Factor
• CdS_fus, Fuselage Surface Drag Factor
• ∆z, Thrust Line Offset (trim)
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• Glauert blade element
theory
• Axial and angular
conservation of flow
Balázs GÁTI.: Performace Calculation for UAVs
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conservation of flow
momentum
• D.J. Auld & K.Srinivas
(University of Sidney)
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7000
8000
9000
10000 Thrust available
30
40
50
7000
8000
9000
10000 Prop Efficiency
0.5
0.6
0.7
0.8
Thrust Efficiency
Pro
p. R
PM
[1/s
]
Pro
p. R
PM
[1/s
]
Balázs GÁTI.: Performace Calculation for UAVs
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5 10 15 20 25 30 351000
2000
3000
4000
5000
6000
TAS [m/s]
RP
M [
1/m
in]
-10
0
10
20
5 10 15 20 25 30 351000
2000
3000
4000
5000
6000
TAS [m/s]
RP
M [
1/m
in]
0
0.1
0.2
0.3
0.4
0.5
Pro
p. R
PM
[1/s
]
TAS [m/s]
Pro
p. R
PM
[1/s
]
TAS [m/s]
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Operating RPM is a trade off between propeller and
engine
Engine model:
−⋅=
−−
+
k
RPMRPM
contrengeng ePPmax
1max
η
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Operating Point Calculation:
combination of bisection, secant and inverse
quadratic interpolation methods
Forsythe, G. E., M. A. Malcolm, and C. B. Moler,
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6000Prop RPM
0.83Prop Efficiency
Pro
p. E
ffic
iency
Operating Points for:
•Power Required
•Power Available
Balázs GÁTI.: Performace Calculation for UAVs
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10 12 14 16 18 20 22 24 264200
4400
4600
4800
5000
5200
5400
5600
5800
RP
M [
1/m
in]
Speed (TAS) [m/s] 10 12 14 16 18 20 22 24 260.785
0.79
0.795
0.8
0.805
0.81
0.815
0.82
0.825
TAS [m/s]
Eff
icie
ncy [
%]
Pro
p. R
PM
[1/s
]
Pro
p. E
ffic
iency
TAS [m/s] TAS [m/s]
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0.1
0.1
0.1
0.2
0.2
0.2
0.3
0.3
0.3
0.4
0.4
0.4
0.5
0.5
0.5
0.6
0.6
0.6
0.7
0.7
0.7
0.8
0.8
Prop efficiency
TAS [km/h]
RP
M [
1/m
in]
50 100 1502000
4000
6000
8000
10000
50 100 1502000
4000
6000
8000
10000Prop efficiency
TAS [km/h]
RP
M [
1/m
in]
Balázs GÁTI.: Performace Calculation for UAVs
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TAS [km/h] TAS [km/h]
0
1500
Engine BHpower
TAS [km/h]
0
1500
RP
M [
1/m
in]
50 100 1502000
4000
6000
8000
10000
50 100 1502000
4000
6000
8000
10000Engine BHpower
TAS [km/h]
RP
M [
1/m
in]
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300
400
500
Penauld (Power available [W], Power required [W])Power available, Power required [W]
Balázs GÁTI.: Performace Calculation for UAVs
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10 12 14 16 18 20 22 24 260
100
200
300
IAS [m/s]
Pow
er
[W]
IAS [m/s]
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Balázs GÁTI.: Performace Calculation for UAVs
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Balázs GÁTI.: Performace Calculation for UAVs
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Balázs GÁTI.: Performace Calculation for UAVs
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Balázs GÁTI.: Performace Calculation for UAVs
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1000
1500
2000
2500
BHP [W ]Power [W]
Balázs GÁTI.: Performace Calculation for UAVs
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0
50
100
150
200
250
0
0.5
1
1.5
2
x 104
-1500
-1000
-500
0
500
TAS [km/h]RPM [1/min]
RPM/10000
[1/min] TAS
[m/s]
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•b = 3.6 m
•S = 1.0 m2
•AR = 12.1
•MTOW = 9.0 kg
Balázs GÁTI.: Performace Calculation for UAVs
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•b = 2.0 m
•S = 1.0 m2
•AR = 3.7
•MTOW = 6.0 kg
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******** SUMMARY **********
TAKE OFFZero Speed Thrust:
1.config: 32 N2.config: 32 N
TAS min:1.config: 38 km/h2.config: 35 km/h
CLIMB TAS:
1.config: 52 km/h
CRUISE TAS:
1.config: 45 km/h2.config: 43 km/h
Maximum Range1.config: 46 km2.config: 43 km
FAST CRUISETAS:
1.config: 70 km/h2.config: 70 km/h
Endurance1.config: 24 min
Balázs GÁTI.: Performace Calculation for UAVs
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1.config: 52 km/h2.config: 53 km/h
Maximum Climb:1.config: 3.3 m/s2.config: 4.8 m/s
LOITER TAS:
1.config: 42 km/h2.config: 36 km/h
Maximum Endurance :1.config: 64 min2.config: 66 min
1.config: 24 min2.config: 24 min
Range1.config: 28 km2.config: 28 km
TOP CRUISETAS:
1.config: 88 km/h2.config: 88 km/h
Endurance1.config: 13 min2.config: 13 min
Range1.config: 18 km2.config: 18 km
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5 10 15 20 25 30 351000
2000
3000
4000
5000
6000
7000
8000
9000
10000 Prop Efficiency
TAS [m/s]
RP
M [
1/m
in]
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
Balázs GÁTI.: Performace Calculation for UAVs
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10 12 14 16 18 20 22 24 26 28 3040
60
80
100
120
140
160
180
200Penauld
TAS [m/s]
Power Req. [W]Power Avail.[W]