Challenge

Project-1: Powertrain for aircraft in runways

Part-A

1. The aircraft gross weight is the total aircraft weight at any moment during the flight or ground operation.

For each flight, different weights are taken into account for several reasons.

Manufacturer's empty weight (MEW)
It is the weight of the aircraft "as built" and includes the weight of the structure, power plant, furnishings, installations, systems and other equipment that are considered an integral part of an aircraft. This excludes any baggage, passengers, or usable fuel.

Zero-fuel weight (ZFW)

This is the total weight of the airplane excluding the total weight of the usable fuel on board. As a flight progresses and fuel is consumed, the total weight of the airplane reduces, but the ZFW remains constant.

Operating empty weight (OEW)

It is the basic weight of an aircraft including the crew, all fluids necessary for operation such as engine oil, engine coolant, water, unusable fuel and all operator items and equipment required for flight but excluding usable fuel and the payload.

Payload

It is the carrying capacity of an aircraft. It includes cargo, people, extra fuel. In the case of a commercial airliner, it may refer only to revenue-generating cargo or paying passengers.

Maximum takeoff weight (MTOW)

This is the maximum weight at which the pilot of the aircraft is allowed to attempt to take off.

Regulated takeoff weight (RTOW)

Depending on different factors (e.g. flap setting, altitude, air temperature, length of runway), RTOW or maximum permissible takeoff weight varies for each takeoff. It can never be higher than MTOW.

Maximum landing weight (MLW)

This maximum weight at which an aircraft is permitted to land.

The following image depicts take-off weight components.

Type MTOW [kg] MLW [tonnes]
Antonov An-225 640,000 591.7
Scaled Composites Model 351 Stratolaunch 589,670
Airbus A380-800[1][2][3] 575,000 394
Boeing 747-8F 447,700 346.091
Boeing 747-8 443,613 306.175
Boeing 747-400ER 412,770 295.742
Antonov An-124-100M 405,060 330
Boeing 747-400 396,900 295.742
Lockheed C-5 Galaxy[4][5][6] 381,000 288.417
Boeing 747-200[7] 377,840 285.7
Boeing 747-300[7] 377,840 260.32
Airbus A340-500[8] 371,950 240
Airbus A340-600[8] 367,400 256
Boeing 777F 347,800 260.816
Boeing 777-300ER 351,800 251.29
Boeing 777-200LR 347,450 223.168
Boeing 747-100[7] 340,200 265.3
Airbus A350-1000 308,000 233.5
Boeing 777-300 299,370 237.683
Boeing 777-200ER 297,550 213
Airbus A340-300[8][9] 276,700 190
McDonnell Douglas MD-11 273,300 185
Airbus A350-900 270,000 175
Ilyushin Il-96M 270,000 195.04
McDonnell Douglas DC-10 256,280 183
Boeing 787-9[10] 254,000 192.777
Boeing 787-10[10] 254,000 201.849
Airbus A340-200[8][11] 253,500 181
Airbus A330-900 251,000 191
Ilyushin IL-96-300 250,000 175
Airbus A330-300[12][13] 242,000 185
Airbus A330-200[12][13] 242,000 180
Lockheed L-1011-500 231,300 166.92
Boeing 787-8[10] 228,000 172.365
Lockheed L-1011-200 211,400
Ilyushin IL-86 208,000 175
Boeing 767-400ER 204,000 158.758
Airbus A300-600R[14] 192,000 140
Boeing 767-300ER 187,000 136.08
Concorde 185,000 111.1
Airbus A300-600[14] 163,000 138
Boeing 767-300 159,000 136.078
Airbus A310-300[14] 157,000 124
Vickers VC10 152,000 151.9
Boeing 707-320B[15] 151,000 97.5
Boeing 707-320C[15] 151,000 112.1
Douglas DC-8-61 147,000
Airbus A310-200[14] 142,000 123
Airbus A400M 141,000 122
Douglas DC-8-32 140,000
Douglas DC-8-51 125,000
Boeing 757-300 124,000 101.6
Boeing 707-120B[15] 117,000 86.3
Boeing 757-200 116,000 89.9
Boeing 720B[16] 106,000 79.5
Boeing 720[16] 104,000 79.5
Tupolev Tu-154M 104,000 80
Tupolev Tu-204SM 104,000 87.5
Convair 880 87,500
Boeing 737-900 85,000 66.36
Boeing 737-900ER 85,000 71.35
Boeing 727-200 Advanced[17] 84,000 70.1
Airbus A321-100[18] 83,000 77.8
Boeing 737-800 79,000 65.32
Boeing 727-200[17] 78,000 68.1
McDonnell-Douglas MD-83 73,000 63.28
Boeing 727-100[17] 72,500 62.4
Boeing 727-100C[17] 72,500 62.4
McDonnell-Douglas MD-90-30 71,000 64.41
de Havilland Comet 4 70,700
Boeing 737-700 70,000 58.06
Airbus A320-100[18] 68,000 66
Boeing 737-400 68,000 54.9
de Havilland Comet 3 68,000
Boeing 377 67,000
Boeing 737-600 66,000 54.66
Airbus A220-300 65,000 57.61
Hawker Siddeley Trident 2E 65,000
Airbus A319[18] 64,000 62.5
Boeing 737-300 63,000 51.7
Boeing 737-500 60,000 49.9
Airbus A220-100 59,000 50.8
Airbus A318[18] 59,000 57.5
Boeing 717-200HGW 55,000 47.174
Douglas DC-7 55,000
de Havilland Comet 2 54,000
Boeing 717-200BGW 50,000 46.265
de Havilland Comet 1 50,000
Douglas DC-6A 48,600
Douglas DC-6B 48,500
Embraer 190[19] 48,000 43
Caravelle III 46,000
Fokker 100 46,000 39.95
Douglas DC-6 44,000
Avro RJ-85 42,000 36.74
Handley Page Hermes 39,000
Embraer 175[20] 37,500 32.8
Bombardier CRJ900[21] 36,500 33.345
Embraer 170[22] 36,000 32.8
Bombardier CRJ700 33,000 30.39
Douglas DC-4 33,000
Vickers Viscount 800 30,400
Bombardier Q400 28,000 28.01
Bombardier CRJ200 23,000 21.319
ATR 72-600 22,800 22.35
Saab 2000 22,800 21.5
Embraer ERJ 145 22,000 19.3
ATR 42-500 18,600 18.3
Saab 340 13,150 12.930
Embraer 120 Brasilia 11,500 11.25
BAe Jetstream 41 10,890 10.57
Learjet 75[23] 9,752 8.709
Pilatus PC-24[24] 8,300 7.665
Embraer Phenom 300[25] 8,150 7.65
Beechcraft 1900D 7,765 7.605
Cessna Citation CJ4[26] 7,761 7.103
de Havilland Hercules 7,000
Embraer Phenom 100 4,800 4.43

2.Is there any difference between ground speed and air speed?

Yes. ground speed and air speed are different.

Airspeed or real airspeed is an airplane's speed relative to the air it is flying in, whereas ground speed is an airplane's speed relative to the Earth's surface.Airspeed is also the speed at which the air is flowing around the aircraft’s wings.

Ground speed, on the other hand, is the aircraft’s speed relative to the ground. It is horizontal rather than vertical speed. Airspeed determines whether there is enough airflow around an aircraft to make it fly and ground speed is what determines how fast an aircraft get to its destination.

3.

The thrust produced when an aircraft's engine starts up can easily damage the airport terminal, nearby ground vehicles, the jetway, luggage, and most critically, ground employees. When pulling a huge aircraft, it's especially crucial to limit engine use because of how dangerously harmful their more potent thrust capabilities might be. Engine power can readily launch any loose objects into the air, convert even the smallest dust particles into dangerous projectiles, and produce debris that can harm multi-million dollar engines. In addition, aircraft engines use a lot of fuel and produce a lot of noise that can be dangerous for those on the ground. Therefore, using a pushback tug rather than operating the engines is more cost-effective and secure.

4.

Pushback, in the context of aviation, is an airport process in which an aircraft is propelled by external force away from an airport gate. Pushback tractors or tugs are specialised, low-profile vehicles used to perform pushbacks.

Although many aeroplanes are capable of using reverese thrust to propel themselves backwards on the ground, the jetblast or propwash may harm the terminal structure or its equipment. Engine damage can also result from engines that are close to the ground blowing sand and other debris ahead before being sucked into the engine. Therefore, pushing the plane back is the technique to get it out from under the gate.

In order to facilitate ground movement on taxiways, pushbacks at busy aerodromes are typically subject to ground control clearance. When the pushback is ready to begin, the pilot communicates with the tractor driver. Near the nose gear, a headset might be connected for communication.The pushback tractor driver controls the aircraft's steering instead of the pilots because they are unable to see what is behind the aircraft. The nose gear may temporarily be disconnected from the aircraft's usual steering mechanism by installing a bypass pin into it, depending on the kind of aircraft and airline policy.

The towbar is disconnected and any bypass pins are taken out when the pushback is finished. To demonstrate to the pilots that the bypass pin has been removed, the ground handler will display it to them. The aeroplane can then taxi ahead using its own power after the pushback is finished.

5.

TAKE OFF POWER

The aircraft transitions from being on the ground on a runway to flying in the air during takeoff. The aeroplane is stopped after taxing up to the runway's beginning. To look for engine-related issues, the engines are run at full power. The aircraft is then quickly accelerated until the required speed for takeoff is reached before the pilot releases the brakes. The takeoff speed varies according to the aircraft's weight, air density, and configuration. The distance from sea level and temperature of the atmosphere affect the air density. If the plane must take off, it must do so at the required takeoff speed, which is also influenced by the runway's length and slope.

The speed of takeoff varies with the air's movement. Because there is more air flowing over the wings when there is a headwind, the takeoff speed is substantially lower. The aeroplanes so typically take off against the wind. Typically, side wind is not desirable as it might affect the aircraft's stability. Jetliners typically take off at speeds between 240 and 285 km/h, and this speed is directly inversely proportional to the weight of the aircraft. Some aeroplanes struggle to produce enough lift during takeoff.

TYRE DESIGN

A tyre is a crucial element of an aircraft's safety system. Tires act as a cushion and assist in absorbing the impact of landing. Additionally, it gives the aircraft the traction it needs to halt and brake.The aircraft is built with the ability to resist very heavy weights during takeoff, landing, taxing, and parking. Due to the necessity for a more equitable distribution of weight, the number of wheels needed for an aircraft rises as its weight does.

ROLLING RESISTANCE

Rolling resistance is the force that resists the motion when the body rolls on the surface.

It is represented by,

Frr = μr m g

Where ,

Frr = rolling resistance force (N)

μr = coefficient of rolling resistance

m = Total mass of the vehicle (kg)

g = Acceleration due to gravity (m/s2)

TYRE PRESSURE

The design of aircraft tyres allows them to sustain severe loads for brief periods of time. Because the weight of the plane needs to be distributed more equally, the number of tyres needed for an aircraft rises as it gets heavier. The thread pattern of the aircraft tyre is made to be both effective for braking and to help with stability in strong crosswinds.

If the full amount of braking force is used during an emergency landing or aborted takeoff, tyres may become overheated. The fuses offer a safer failure mode that prevents the explosion of tyres by carefully deflating them, hence reducing damage to the aircraft and other objects. Up to 200 psi is the maximum operating pressure for aircraft tyres.

BRAKING FORCES WHEN LANDING

By converting kinetic energy into thermal energy through friction between spinning and stationary discs found in braking assemblies in the wheels, aircraft brakes assist in bringing a moving craft to a halt. These brakes provide crucial stopping friction during landing, allowing the aircraft to come to a halt within the runway's length. The aircraft brakes assist in stopping the vehicle before takeoff in the event of any technical difficulties.

By delivering varying degrees of braking power to the left and right-side brakes, aircraft brakes also stop motion of the aircraft when it is parked, control speed during taxing, and can assist in guiding the aircraft on the ground. Other braking systems, like as thrust reversers, air brakes, and spoilers, cooperate with aircraft brakes to stop a moving object. Thrust reversers are surfaces that are positioned in the course of the engine's jet blasts in order to divert the thrust in a way that complements the motion of the aircraft.

Part B:

6.A. With necessary assumptions, calculate the force and power required to push / pull an aircraft by a towing vehicle.

A towing vehicle is necessary to push/pull the aeroplane from the terminal gate. Towing vehicles need a lot of torque to draw or push an aircraft.

To determine the amount of force and power the towing vehicle needs to push or pull the aircraft, Rolling resistance, Acceleration force and Aerodynamic drag forces are taken into account.

%%Calculation of force and power required to push/pull an aircraft
%AIRCRAFT CALCULATIONS
ma = 48500; %Mass of the aircraft(kg)
ur = 0.03; %Coefficient of rolling resistance
g = 9.81; %Acceleration due to gravity(ms-2)
Ad = 85; %Frontal area of an aircraft(m2)
vf = 3; %Final velocity of the aircraft(m/s)
vi = 0; %Initial velocity of the aircraft(m/s)
cd = 0.15; %Coefficient of drag of an aircraft
rho = 1.225; %Density of air(kg/m3)
ta = 10; %Acceleration time of the aircraft and towing vehicle(s)
%%ROLLING RESISTANCE FORCE
disp('The rolling resistance force between aircraft wheels and road is')
Frr = ur*ma*g
%%ACCELERATION FORCE
disp('The acceleration force of the aircraft is')
Fa= ma*((vf-vi)/ta)
%%AERODYNAMIC DRAG FORCE
disp('The aerodynamic drag force of the aircraft')
Fd = 0.5*rho*Ad*cd*vf^2
%%TOWING VEHICLE CALCULATIONS
mt = 8000; %Mass of towing vehicle(kg)
Adt = 8; %Frontal area of towing vehicle(m2)
urt = 0.013; %Coefficient of rolling resistance
cd = 0.60; %Coefficient of drag of towing vehicle
%%ROLLING RESISTANCE FORCE
disp('The rolling resistance force of towing vehicle is')
Frrt = urt*mt*g
%%ACCELERATION FORCE
disp('The acceleration force of the towing vehicle is')
Fat= mt*((vf-vi)/ta)
%%AERODYNAMIC DRAG FORCE
disp('The aerodynamic drag force of the towing vehicle is')
Fdt = 0.5*rho*Adt*cd*vf^2
%%TOTAL TRACTIVE FORCE (N)
Ft=Frr+Fa+Fd+Frrt+Fat+Fdt
%%POWER REQUIRED TO PUSH OR PULL THE AIRCRAFT(kW)
disp('POWER REQUIRED TO PUSH/PULL THE AIRCRAFT(kW) is')
P = (Ft * vf)/1000

>> Force_power_calculation
The rolling resistance force between aircraft wheels and road is

Frr =

1.4274e+04

The acceleration force of the aircraft is

Fa =

14550

The aerodynamic drag force of the aircraft

Fd =

70.2844

The rolling resistance force of towing vehicle is

Frrt =

1.0202e+03

The acceleration force of the towing vehicle is

Fat =

2400

The aerodynamic drag force of the towing vehicle is

Fdt =

26.4600


Ft =

3.2341e+04

POWER REQUIRED TO PUSH/PULL THE AIRCRAFT(kW) is

P =

97.0216

B. Develop the model for the calculated force and power using Simulink.

7. A.

AIRCRAFT PARAMETERS

PARAMETERS

VALUES

UNITS

Mass of the aircraft

48500

kg

Coefficient of rolling resistance

0.03

--

Frontal area of the aircraft

85

M2

Final velocity of the aircraft

3

m/s

Initial velocity of the aircraft

0

m/s

Coefficient of drag of an aircraft

0.15

--

Acceleration time of the Towing vehicle

10

Seconds

TOWING VEHICLE PARAMETERS

PARAMETERS

VALUES

UNITS

Mass of the Towing vehicle

8000

kg

Coefficient of rolling resistance

0.013

--

Frontal area of the Towing vehicle

8

M2

Final velocity of the Towing vehicle

3

m/s

Initial velocity of the Towing vehicle

0

m/s

Coefficient of drag of the Towing vehicle

0.60

--

Acceleration of the Towing vehicle

10

seconds

Gear ratio

10

The towing vehicle must have a total power output of 97.02 KW and a total tractive force of 32341 N to push or pull the aircraft. The towing vehicle's necessary torque is calculated as

Tt = Ft * r /G = 32341* 0.4 / 10= 1293.64 Nm

A motor is chosen based on its power rating, and a battery is needed depending on the amount of energy required and the duty cycle range to control the aircraft speed from zero to the highest.

The TECO IE2 electric induction motor is chosen because it meets the vehicle's requirements for power output and torque with a 110 KW output and 1420 Nm of torque at full load.

MOTOR SPECIFICATIONS

Output power – 110 KW, 150 hp

Full load speed – 740 rpm

Full load Efficiency – 94.5%

Full load current – 210A

Full load Torque – 1420 Nm

Rated voltage – 400V/50 Hz

The rated voltage is 400V and the current is assumed to be 280A. So, the input power of the motor is calculated as

Pinput = 400 *280= 112000W=112kW

Poutput=97.02kW

d=97.02/112=86.6%

To calculate the energy required from battery pack for 10 minutes(10*60)

E = Po * t= 97.02 * 600= 58212kJ

E = 58212kJ/3600= 16.17KWH

Powertrain model:

Block diagram:

B.

Calculation of force and power required to push/pull an aircraft
Aircraft Towing vehicle
Mass 48500 8000
Coefficient of rolling resistance 0.03 0.013
Acceleration due to gravity(ms-2) 9.81 9.81
Frontal area of an aircraft(m2) 85 8
Final velocity of the aircraft(m/s) 3 3
Initial velocity of the aircraft(m/s) 0 0
Coefficient of drag of an aircraft 0.15 0.6
Density of air(kg/m3) 1.225 1.225
Acceleration time (s) 10 10
ROLLING RESISTANCE FORCE 14273.55 1020.24
ACCELERATION FORCE 14550 2400
AERODYNAMIC DRAG FORCE 70.284375 26.46
Total Tractive force(N) 32340.53438
Power Required to push/Pull(kW) 97.02160313

Excel calculation file is attached for reference.

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