Challenge

Project-1: Powertrain for aircraft in runways

Ans.1)

The aircraft gross weight (also known as the all up weight and abbreviated AUW) is the total aircraft weight at any moment during the flight or ground operation.

An aircraft's gross weight will decrease during a flight due to fuel and oil consumption. An aircraft's gross weight may also vary during a flight due to payload dropping or in-flight refuelling.

At the moment of releasing its brakes, the gross weight of an aircraft is equal to its takeoff weight. During flight, an aircraft's gross weight is referred to as the en-route weight or in-flight weight.

Total weight of various types of aircrafts:-

Aircraft

Empty Weight

Max Fuel Weight

Max Cargo Weight

Max Gross Takeoff Weight

Antanov AN-225

628,000 lbs
285,000 kg

661,400 lbs
300,000 kg

417,000 lbs
190,000 kg

1,411,000 lbs
640,000 kg

Airbus A380-800

611,000 lbs
277,000 kg

560,000 lbs
254,000 kg

185,000 lbs
84,000 kg

1,268,000 lbs
575,000 kg

Boeing 747-800

485,300 lbs
220,100 kg

427,400 lbs
194,000 kg

295,000 lbs
134,000 kg

987,000 lbs
447,700 kg

Airbus A340-500

370,000 lbs
168,000 kg

386,300 lbs
175,000 kg

119,000 lbs
54,000 kg

820,000 lbs
372,000 kg

Boeing 777-300ER

370,000 lbs 168,000 kg

320,800 lbs 145,500 kg

148,000 lbs
67,100 kg

776,000 lbs
352,000 kg

Boeing 787-10

299,000 lbs 135,500 kg

223,500 lbs
101,500 kg

126,300 lbs 57,300 kg

560,000 lbs
254,000 kg

Boeing 737-900

98,500 lbs
44,700 kg

53,100 lbs
24,000 kg

44,600 lbs
20,200 kg

187,000 lbs
85,000 kg

Airbus A320-100

93,900 lbs
42,600 kg

48,700 lbs
22,100 kg

44,000 lbs
20,000 kg

150,000 lbs
68,000 kg

Embraer 190

63,500 lbs
28,800 kg

28,600 lbs
13,000 kg

28,800 lbs
13,100 kg

106,000 lbs
48,000 kg

Gulfstream G650

54,000 lbs 24,500 kg

48,200 lbs 21,900 kg

6,500 lbs
3,000 kg

100,000 lbs
45,200 kg

Bombardier CRJ900

48,160 lbs 21,850 kg

19,600 lbs 8,900 kg

6,075 lbs 2,760 kg

80,500 lbs
36,500 kg

Bombardier Q400

39,300 lbs
17,800 kg

11,700 lbs
5,300 kg

18,700 lbs
8,500 kg

62,000 lbs
28,000 kg

Learjet 75

13,900 lbs 6,300 kg

6,060 lbs
2,750 kg

2,900 lbs
1,300 kg

21,500 lbs
9,700 kg

Cessna Citation CJ4

10,300 lbs 4,700 kg

5,800 lbs
2,650 kg

2,200 lbs 1,000 kg

17,200 lbs
7,800 kg

Beechcraft King Air B100

7,100 lbs 3,200 kg

3,200 lbs
1,450 kg

4,150 lbs
1,900 kg

12,000 lbs
5,400 kg

Diamond DA50 RG

3,200 lbs
1,450 kg

340 lbs
155 lbs

1,250 lbs
560 kg

4,400 lbs
2,000 kg

Beechcraft Bonanza G36

2,500 lbs 1,150 kg

450 lbs
200 kg

850 lbs
385 kg

3,660 lbs
1,660 kg

Cessna 206H

2,200 lbs
990 kg

520 lbs
235 kg

1,150 lbs
520 kg

3,600 lbs
1,630 kg

Sirrus SR22

2,250 lbs 1,000 kg

485 lbs
220 kg

950 lbs
430 kg

3,600 lbs
1,630 kg

Cessna 172R

1,700 lbs
770 kg

380 lbs
170 kg

560 lbs
255 kg

2,425 lbs
1,100 kg

Aircraft Empty Weight (AEW):-

This is sometimes referred to as OEW – Operating Empty Weight and it is the weight of the aircraft with all its equipment on board but no fuel, no passengers or no cargo.

Think of this like the aircraft has just come out of the factory and is sitting waiting to be fueled up for delivery to the customer.

Aircraft Maximum Gross Takeoff Weight (MGTW):-

This is the maximum permissible weight the aircraft can weigh as it lifts off the ground at takeoff. This includes the aircraft’s empty weight, the fuel, the crew, the passengers, and all the cargo.

This weight limit is set by the manufacturer and is gospel. Many aircraft accidents have been caused by an aircraft being overweight and the pilot/s have not had enough power or maneuverability to prevent the accident.

Aircraft Useful Load:-

This is the weight that a pilot can place in the aircraft. Take the MGTW figure and subtract the AEW and this is the total useful load that can be placed into the aircraft. This is the fuel, crew, passengers, and cargo. The bigger the load, the more useful the aircraft can be to its customers.

Ans.2)

The different between airspeed and ground speed is fairly simple. Ground speed is simply the sum of airspeed and wind speed. On the other hand, if the wind is blowing against the direction the aircraft is traveling in, the aircraft experiences headwind, and its ground speed is lower than its airspeed.

Ground Speed:-

For a reference point picked on the ground, the aircraft moves relative to the reference point at the ground speed. Ground speed is also a vector quantity so a comparison of the ground speed to the wind speed must be done according to rules for vector comparisons.

Airspeed:-

The important quantity in the generation of lift is the relative velocity between the object and the air, which is called the airspeed. Airspeed cannot be directly measured from a ground position, but must be computed from the ground speed and the wind speed. Airspeed is the vector difference between the ground speed and the wind speed.

Airspeed = Ground Speed - Wind Speed

On a perfectly still day, the airspeed is equal to the ground speed. But if the wind is blowing in the same direction that the aircraft is moving, the airspeed will be less than the ground speed.

Wind Speed:-

For a reference point picked on the ground, the air moves relative to the reference point at the wind speed. Notice that the wind speed is a vector quantity and has both a magnitude and a direction. Direction is important. A 20 mph wind from the west is different from a 30 mph wind from the east. The wind has components in all three primary directions (north-south, east-west, and up-down). In this figure, we are considering only velocities along the aircraft's flight path. A positive velocity is defined to be in the direction of the aircraft's motion. We are neglecting cross winds, which occur perpendicular to the flight path but parallel to the ground, and updrafts and downdrafts, which occur perpendicular to the ground.

For example taking wind speed as 30 km/hr and runway is east-west runway the wind blowing towards west and the flight runs at 70 km/hr the wind speed acting in the west and the flight takes off east then the

Airspeed=Groundspeed (70)- Wind Speed(-30) -100 km/hr

If the planes runs towards west along the wind

blowing direction then

the Airspeed-Groundspeed (70) - Wind Speed (30)=40km/hr

Hence there is a difference between ground speed and air speed.

Ans.3)

Aircraft move using their own engine power all the time on the airport apron and taxiways under their own power to go towards runways and after landing taxi to their assigned gate. The only time they use external assistance is to pushback from the gate. Large turbofan aircraft need help to reverse via a pushback tractor. The engines are turned on after the pushback is complete and the aircraft can move forward under its own power. To be accurate, some aircraft can reverse using a variable pitch prop or thrust reversing on turbofans but generally reversing is done via pushback tractors. Blasting jet reversers blows debris In the crowded gate area creating foreign object damage hazard for adjacent aircraft, gate equipment, or terminal waiting area glass windows.

The disadvantages of using aircraft engine power to move it on the ground at Airport is given below,

  • Fuel consumption.
  • Wear and tear on the engine.
  • Unnecessary jet blast and noise

Ans.4)

pushback truck reverses the aircraft into taxiing position, pushing it with a towbar attached to the nose-wheel strut. Or, in the most modern versions, by actually lifting the wheel. The aircraft taxis to the runway to depart at the agreed time.

Taxiing:-

Taxiing is the movement of an aircraft on the ground, under its own power, in contrast to towing or push-back where the aircraft is moved by a tug. The aircraft usually moves on wheels, but the term also includes aircraft with skis or floats. An airplane uses taxiways to taxi from one place on an airport to another, for example, when moving from a hangar to the runway.

Towing:-

Movement of large aircraft about the airport, flight line, and hangar is usually accomplished by towing with a tow tractor. In the case of small aircraft, some moving is accomplished by hand pushing on the correct areas of the aircraft. Aircraft may also be taxied about the flight line but usually only by certain qualified personnel.

Towing aircraft can be a hazardous operation, causing damage to the aircraft and injury to personnel, if done recklessly or carelessly. This article outline the general procedure for towing aircraft. However, specific instructions for each model of aircraft are detailed in the manufacturer's maintenance instructions and are to be followed in all instances

Ans.5)

Takeoff Power:-

Takeoff is the phase of flight in which an aerospace vehicle leaves the ground and becomes airborne.

For aircraft that take off horizontally, this usually involves starting with a transition from moving along the ground on a runway. For balloons. helicopters, and some specialized fixed-wing aircraft (VTOL aircraft such as the Harrier), no. runway is needed. Takeoff is the opposite of landing

Take off performance can be predicted using a simple measure of the acceleration of the aircraft along the runway based on force equilibrium.

The forces involved will be,

T = Thrust of propulsion system pushing aircraft along runway.

D = Aerodynamic Drag of vehicle resisting the aircraft motion.

F = Rolling resistance friction due to the contact of wheels or skids on the ground.

During take-off run the imbalance in these forces will produce an acceleration along the runway.

dv/dt =T - D - F / m

where dv/dt is the acceleration along the runway and m is the mass of the vehicle.

The procedure for take-off will be that the vehicle will accelerate until it reaches a safe initial flying speed. The pilot can then rotate the vehicle to an attitude to produce climb lift and it will ascend from the ground. The determination of this safe flying speed or rotation speed. Vg, is a critical factor in determining take-off performance.

Tyre Design:-

Tyres are one of the most important components of aircraft. They help to absorb the shock of landing and provide cushioning. It also provides the necessary traction for braking and stopping of an aircraft.

An aircraft tyre is designed to withstand extremely heavy loads while landing, take off, taxing, and parking. The number of wheels required for aircraft increases with the weight of the aircraft, as the weight of the aeroplane needs to be distributed more evenly.

An aircraft tyre is constructed for the purpose it serves.

  1. They support the weight of an aircraft while it is on the ground.
  2. It also provides the necessary traction for braking and stopping of an aeroplane.
  3. Tyre also helps to absorb the shock of landing and provide cushioning the roughness of takeoff, roll-out, and taxi operations.

Unlike an automobile or truck tyre, it does not have to carry a load for a long period of continuous operation. However, an aircraft tyre absorbs the high impact loads of landing, and also it’s operating at high speeds for a short time when required.

Retreading:- Retreading is methods of restoring a worn tyre by renewing the tread area or by renewing the tread area plus one or both sidewalls. Repairs are included in the tyre retreading process.
Load Rating:- Load rating is the maximum permissible load at a specified inflation pressure.
Ply Rating:- Ply Rating is used to identify the maximum recommended load rating and inflation pressure for a specified tyre. It is an index of tyre strength.
Speed Rating:- The speed rating is the maximum takeoff speed to which the tyre has been tested.

Skid Depth:- Skid depth is the distance between the tread surface and the deepest groove as measured in the mould.

Aircraft tyres must have an approved speed and load rating and have sufficient clearance when retracted through landing gear to allow for tyre growth. Tyre growth is the increase in the size of the tyre due to centrifugal forces at high speed.

Rolling Resistance:-

Rolling resistance is the force resisting the motion when a body (such as ball, tyre or wheel) rolls on a surface. Rolling resistance can be seen in the aircraft when the aircraft takes-off from the runway & while landing at the runway with the help of their wheels.

Rolling resistance can be expressed as

Frr = μrr.m.g

Where

Frr is the Rolli resistance(N)

μrr is coefficient of rolling resistance.

m is mass (kg)

g is acceleration due to gravity = 9.81m/s^2

Tyre Pressure:-

Aircraft tyres operate at such high extremes of pressure, load, and speed, their care and service is critically important. The most important action an operator can take to prevent tyre-related events is to maintain proper tire inflation pressure. Failure to keep aircraft tires properly inflated can lead to very serious consequences. One relatively easy way to help avoid those consequences is to check tire pressures regularly and service them as necessary. Following these three actions is a good way to make sure you get the most value out of your tires and contribute to the safe operation of your aircraft.

Aircraft tires are usually inflated with nitrogen to minimize expansion and contraction from extreme changes in ambient temperature and pressure experienced during flight. Dry nitrogen expands at the same rate as other dry atmospheric gases (normal air is about 80% nitrogen), but common compressed air sources may contain moisture, which increases the expansion rate with temperature.

Also, the use of an inert gas for tire inflation eliminates the possibility of tire explosion.

Relation to Rolling Resistance and Tire Pressure:-

Rolling resistance and Tyre pressure are inversly proportional.

Brake force when landing:-

The most common type of brake used on aircraft is the disc brake. Disc brakes function by exploiting friction between rotating and stationary discs inside the brake.

Aircraft disc brake:- This brakes are used when landing gear is applied and that provied brakes in wheel of aircraft. Normally, this system is operated by either hydraullic or pneumatic.

Thrust reversal:- In this method the reverse thrust is provided by propulsion system in opposite direction of motion of aircraft while its landing. so then aircraft starts to decelerate. This is also called as thrust reversal.

Spoilers:- spoilers are the plates which is hinged with the top portion of wings of aircraft. So when aircraft landed in ground these plates are opened and this will provide drag force against the direction of motion of aircraft. So it will result in deceleration.

Ans.6A)

Here hill climbing force is not considered becasue it is not travelling in slope and gradiant value is 0.

Rolling Resistance force

Frr =μrr mg

Air Drag force

Fad= (1/2)*(p*A*Cd*V^2)

Total tractive force

Fte = Frr + Fad

Total tractive power

Pte = Fte * V

m = total mass of vehicle

μrr = coefficient of rolling resistance

A = Frontal area of vehicle

Cd = Drag coefficient

p = air density

V = velocity of vehicle

The mass of the Aircraft or payload is 640000kg

Lets us consider the towing car mass is 50000kg

So,

total mass = 640000 + 50000

= 690000kg

coefficient of rolling reistance = 0.013

drag coefficent of towing vehicle = 0.5

drag coefficient of aircraft = 0.045

width = 6.4

height = 18.1

frontal area = 115.84

Velocity = 2.78(m/s)

Rolling Resistance force

Frr =μrr mg

Frr = 0.013*690000*9.81

Frr = 87995.7N

Air Drag force

Fad= (1/2)*(p*A*Cd*V^2)

Fad = (1/2)*(1.25*115.84*(0.5+0.045)*(2.78)^2)

Fad = 304.95 N

Total tractive force

Fte = Frr + Fad

= 87995.7 + 304.95

= 88300.65 N

Total tractive power

Pte = Fte * V

= 88300.65 * 2.78

= 245475.81 W

Total tractive power (Pte) = 245.47 Kw

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

Ans.7 A)

Total energy consumed by the tug in 20 min(+ extra 10 min considering free time run of tug) is

Energy consumed = Power of motor * 30/60

= (52.750*1000)*0.5

= 26375wh

= 27Kwh

Now for battery sizing, we choose a battery whose output voltage is around 360v

So, Battery current = Motor power/Voltage = 52750/360 = 146.52 =~ 150 amp approx.

for battery rating = Battery current * run time of tug = 150 * (30/60) = 75 amp-hr

From the above calculation, we can see a 75 Amp-hr battery is required to fulfill our requirements which are providing 650 N-m of instantaneous torque with a motor rating of 53kw and a run time of 30min with a velocity of 5 m/sec.

B. Also, Design the parameters in excel sheet:-

https://1drv.ms/x/s!AgID4ew-wDzNgT-nbHKQCHV-YZyr?e=YxlNej

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