Challenge

Project-1: Powertrain for aircraft in runways

Project- Powertrain of an Aircraft in runways

Project Link:- https://drive.google.com/drive/folders/1gRvOXn3OOLkgmoKF0nAHfMhjdb4NnqBt?usp=sharing

Task1. Search and list out the total weight of various types of aircrafts

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 refueling.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.

Weights could be restricted on some type of aircraft depending on the aircraft handling requirements; for example aerobatic aircraft, where certain aerobatic manoeuvres can only be executed with a limited gross weight. In addition, the authorised maximum weight limits may be less as limited by centre of gravity, fuel density, and fuel loading limits.

Maximum Taxi Weight:-

The maximum taxi weight (MTW) (also known as the maximum ramp weight (MRW) is the maximum weight authorized for maneuvering (taxiing or towing) an aircraft on the ground as limited by aircraft strength and airworthiness requirements. It includes the weight of taxi and run-up fuel for the engines and the APU.

It is greater than the maximum takeoff weight due to the fuel that will be burned during the taxi and runup operations.

The difference between the maximum taxi/ramp weight and the maximum take-off weight (maximum taxi fuel allowance) depends on the size of the aircraft, the number of engines, APU operation, and engines/APU fuel consumption, and is typically assumed for 10 to 15 minutes allowance of taxi and run-up operations.

Maximum Take Off Weight (MTOF):-

The maximum takeoff weight (also known as the maximum brake-release weight) is the maximum weight authorised at brake release for takeoff, or at the start of the takeoff roll. The maximum takeoff weight is always less than the maximum taxi/ramp weight to allow for fuel burned during taxi by the engines and the APU.

In operation, the maximum weight for takeoff may be limited to values less than the maximum takeoff weight due to aircraft performance, environmental conditions, airfield characteristics (takeoff field length, altitude), maximum tire speed and brake energy, obstacle clearances, and/or en route and landing weight requirements.

Maxiumum Landing Weight (MLW):-

The maximum weight authorised for normal landing of an aircraft.

The MLW must not exceed the MTOW.

The operation landing weight may be limited to a weight lower than the Maximum Landing Weight by the most restrictive of the following requirements:

  • Aircraft performance requirements for a given altitude and temperature:
landing field length requirements,
approach and landing climb requirements
  • Noise requirements

If the flight has been of short duration, fuel may have to be jettisoned to reduce the landing weight.

Overweight landings require a structural inspection or evaluation of the touch-down loads before the next aircraft operation.

Maximum Zero Fuel Weight (MZFW):-

The maximum permissible weight of the aircraft less all usable fuel and other specified usable agents (engine injection fluid, and other consumable propulsion agents). It is the maximum weight permitted before usable fuel and other specified usable fluids are loaded in specified sections of the airplane.

Some of the total weight oif different aircrafts are mentioned below in the table:-

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

Antanov An-225 is a commercial aircraft having Maximum Gross Take off weight of around 640,000 kg.

Boeing 737 is a commercial aircraft having Maximum Gross Take off weight of around 85,000 kg and having passenger cpacity of around 85 to 130.

Learjet 70/75 is a mid sized bussiness jet air planes having weight around 9,700 kg.

Cirrus SR22 is a 4-5 seat composite aircraft which weight around 1630 kg.

Task-2 :- Difference between ground speed and air speed

Wind Speed:- It is the speed of the wind flowing in the enviornment with respect to the frame of reference on the ground. A positive velocity is defined when the wind flows in the direction of the the aircraft direction.

Ground Speed:- It is the speed which is relative to the horizontal movement of the aircraft with respect to the ground. For an aircraft which is moving in vertical direction only its ground speed will be zero.

Air Speed:- Air speed is the vector difference between the ground speed and wind speed. Air speed can not be computed directly from the ground speed but its a diffrence between the relative velocities of ground and wind speed.

Aircraft usually operates on ground and in air so we need to study their speed difference in both ground and air. The air speed usually changes based upon the wind velocity magnitude and direction.

Let us discuss the three cases of presence of wind:-

i) when wind is Zero:- in the absence of wind the airspeed will be equal to the ground speed.

ii) when wind speed is in direction opposite of aircraft movement:- this type of wind is called headwind and in this case the air speed is greater than the ground speed as it wiil be the sum of wind and ground speed.

iii) when wind speed is in same direction of aircraft movement:- this type of wind is called tailwind and in this case the air speed is less than the ground speed as it wiil be the difference of ground and wind speed.

Task-3 :- Why is it not recommended to use aircraft engine power to move it on the ground at Airport

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 it's 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.

It is not recommended to use aircraft engine power to move it on ground at airport because of the following hazard:-

i) Loss of control can happen when the aircraft high power engine is used to run at ground in airport causing damage to the aircraft itself, other nearby planes and the ground staff.

ii) Ground Visibility is difficult for a pilot sitting in the cockpit while in comparison to the truck ot taxi triver as the sourrounding are better visible.

iii) If the aircraft engine will be used it will burn a lot of fuel and which will result in more pollution and large expense will incurred in fuels.

iv) Aircraft engine also produces a lot of noise pollution when it will run on a runway which will be create lot problem for ground staff in communicating with each other.

v) Aircraft engine when run on runway will result in higher maintenace activity.

vi) FOD (Foriegn Object Damage) could take place while running the aircraft engine in runways causing damages in airplane structure, flight controls and personnel and equipments.

Task- 4 How an aircraft is pushed to runway when its ready to take off:-

Taxiing:- Taxiing (rarely spelled taxying) is the movement of an aircraft on the ground, under its own power, in contrast to towing or pushback where the aircraft is moved by a tug. The aircraft usually moves on wheels, but the term also includes aircraft with skis or floats (for water-based travel)

An airplane uses taxiways to taxi from one place on an airports to another; for example, when moving from a hangar to the runway. The term "taxiing" is not used for the accelerating run along a runway prior to takeoff, or the decelerating run immediately after landing, which are called the takeoff roll and landing rollout, respectively.

Jet Airliners Taxiing

Towing:- Movement of large aircraft about the airport, flight line, and hangar is usually accomplished by towing with a tow tractor (sometimes called a “tug”). 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.

Before the aircraft to be towed is moved, a qualified person must be in the flight deck to operate the brakes in case the tow bar fails or becomes unhooked. The aircraft can then be stopped, preventing possible damage. Some tow bars are designed for towing various types of aircraft. However, other special types can be used on a particular aircraft only. Such bars are usually designed and built by the aircraft manufacturer.

When towing the aircraft, the towing vehicle speed must be reasonable, and all persons involved in the operation must be alert. When the aircraft is stopped, do not rely upon the brakes of the towing vehicle alone to stop the aircraft. The person in the flight deck must coordinate the use of the aircraft brakes with those of the towing vehicle.

Task-5 Learn about take off power, tyre design, rolling resistance, tyre pressure, brake forces when landing

i) Take Off Power:-

Takeoff is the phase of flight in which an aerospace vehicle leaves the ground and becomes airborne. For aircraft traveling vertically, this is known as liftoff. For aircraft that take off horizontally, this usually involves starting with a transition from moving along the ground on a runway.

Although the takeoff and climb is one continuous maneuver, it will be divided into three separate steps which are:-

  • Takeoff roll (ground roll) is the portion of the takeoff procedure during which the airplane is accelerated from a standstill to an airspeed that provides sufficient lift for it to become airborne.
  • Lift-off is when the wings are lifting the weight of the airplane off the surface. In most airplanes, this is the result of the pilot rotating the nose up to increase the angle of attack (AOA).
  • The initial climb begins when the airplane leaves the surface and a climb pitch attitude has been established. Normally, it is considered complete when the airplane has reached a safe maneuvering altitude or an en route climb has been established.
Calculation of Take off power can be given as:-
When the airplane is in steady flight with moderate angle of climb, the vertical component of lift is very nearly the same as the actual lift. Such climbing flight would exist with the lift very nearly equal to the weight. The net thrust of the powerplant may be inclined relative to the flight path but this effect will be neglected for the sake of simplicity. Note that the weight of the aircraft is vertical but a component of weight will act along the flight path. If it is assumed that the aircraft is in a steady climb with essentially small inclination of the flight path, the summation of forces along the flight path resolves to the following:
Forces forward=Forces aft
T = D + W sin γ
where:
T = thrust available, lbs.
D = drag, lbs.
W = weight, lbs.
γ ("gamma") = flight path inclination or angle of climb
This basic relationship neglects some of the factors which may be of importance of airplanes of very high performance. For example, a more detailed consideration would account for the inclination of thrust from the flight path, lift not equal to weight, subsequent change of induced drag, etc. However, this basic relationship will define the principal factors affecting climb performance. With this relationship established by condition of equilibrium, the following relationship exists to express the trigonometric sine of the climb angle
sinγ=T−D/W
This relationship simply states that, for a given weight airplane, the angle of climb (γ) depends on the difference between thrust and drag (T - D), or excess thrust. Of course, when the excess thrust is zero (T - D = 0 or when T = D), the inclination of the flight path is zero and the airplane is in steady, level flight. When the thrust is greater than the drag, the excess thrust will allow a climb angle depending on the value of excess thrust. Also, when the thrust is less than the drag, the deficiency of thrust will allow an angle of descent.
ii) Tyre Design:-
Aircraft tires may be tube-type or tubeless. They support the weight of the aircraft while it is on the ground and provide the necessary traction for braking and stopping. The tires also help absorb the shock of landing and cushion the roughness of takeoff, rollout, and taxi operations. Aircraft tires must be carefully maintained to perform as required. They accept a variety of static and dynamic stresses and must do so dependably in a wide range of operating conditions.
Tire Construction:-
An aircraft tire is constructed for the purpose it serves. Unlike an automobile or truck tire, it does not have to carry a load for a long period of continuous operation. However, an aircraft tire must absorb the high impact loads of landing and be able to operate at high speeds even if only for a short time. The deflection built into an aircraft tire is more than twice that of an automobile tire. This enables it to handle the forces during landings without being damaged. Only tires designed for an aircraft as specified by the manufacturer should be used.
Bead:- The tire bead is an important part of an aircraft tire. It anchors the tire carcass and provides a dimensioned, firm mounting surface for the tire on the wheel rim. Tire beads are strong. They are typically made from high-strength carbon steel wire bundles encased in rubber. One, two, or three bead bundles may be found on each side of the tire depending on its size and the load it is designed to handle.
Carcass plies:- are used to form the tire. Each ply consists of fabric, usually nylon, sandwiched between two layers of rubber. The plies are applied in layers to give the tire strength and form the carcass body of the tire. The ends of each ply are anchored by wrapping them around the bead on both sides of the tire to form the ply turn-ups.
Tread:- the tread is the crown area of the tire designed to come in contact with the ground. It is a rubber compound formulated to resist wear, abrasion, cutting, and cracking. It also is made to resist heat build-up. Most modern aircraft tire tread is formed with circumferential grooves that create tire ribs. The grooves provide cooling and help channel water from under the tire in wet conditions to increase adhesion to the ground surface.
The tread is designed to stabilize the aircraft on the operating surface and wears with use. Many aircraft tires are designed with protective undertread layers as described above.
Sidewall:- The sidewall of an aircraft tire is a layer of rubber designed to protect the carcass plies. It may contain compounds designed to resist the negative effects of ozone on the tire. It also is the area where information about the tire is contained. The tire sidewall imparts little strength to the cord body. Its main function is protection.

Chines:- Some tire sidewalls are mounded to form a chine. A chine is a special built-in deflector used on nose wheels of certain aircraft, usually those with fuselage mounted engines. The chine diverts runway water to the side and away from the intake of the engines.

iii) Rolling Reistance:- The force that resists the motion of a body rolling on a surface is called the rolling resistance or the rolling friction

The rolling resistance can be expressed by the generic equation

Fr = c W --------------------------------------(a)

where,

Fr = rolling resistance or rolling friction (N, lbf)

c = rolling resistance coefficient - dimensionless (coefficient of rolling friction - CRF)

Also, W = m ag = normal force or weight of the body (N, lbf)----------(b)

m = mass of body (kg, lb)

ag = acceleration or gravity (9.81 m/s2, 32.174 ft/s2)

Some typical Rooling Resistance Coefficient values are:-

Rolling Resistance Coefficient Applications
c cl (mm)
0.001 - 0.002 0.5 railroad steel wheels on steel rails
0.001 bicycle tire on wooden track
0.002 - 0.005 low resistance tubeless tires
0.002 bicycle tire on concrete
0.004 bicycle tire on asphalt road
0.005 dirty tram rails
0.006 - 0.01 truck tire on asphalt
0.008 bicycle tire on rough paved road
0.01 - 0.015 ordinary car tires on concrete, new asphalt, cobbles small new
0.02 car tires on tar or asphalt
0.02 car tires on gravel - rolled new
0.03 car tires on cobbles - large worn
0.04 - 0.08 car tire on solid sand, gravel loose worn, soil medium hard
0.2 - 0.4 car tire on loose sand

Tyre Pressure:-

Aircrafts tyre generally operate at high pressure nera about 200 psi (14 bar or 1400 KPa) for airliners and can be high for bussiness jets. The main landing gear on the concorde is typically inflated upto 232 psi (16 bar) while its tail bumper gear tires were as high as 294 psi (20.3 bar).

Test of airliner aircraft tires have shown that they are able to sustain air pressure of maximum upto 800 psi (55bar or 5500 KPa) before bursting. During the test the tires have to be filled with waters to prevent the test room to be blown out by the energy which is released during bursting of tires.

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

v) Brake forces when Landing:-

The brakes used in aircrafts while landing are as follows:-

a) Aircraft Disc Brakes:- It is used to brake the wheels while touching the grounds. These brakes ae applied hydraulically or pneumatically. In most modern aircraft they are activated by the top section of the rudder pedals (toe brakes). In some old aircraft the bottom section is used instead (heel brake). some of the aircraft are provided with levers. Most of the aircrafts are capable of diffrential braking.

b)Thrust Reversers:- It is provided in the jet aircrafts to provide the significant way of increasing the rate of deacceleration during the inital stage of landing roll or rejected takeoff from a high speed.Use of reverse thrust on low wing aircraft with mounted engines must be limited to the time when the aircraft is in the active runway.

c)Air Brakes:- Air brake or speed brakes are used to cause the aircraft slow down more rapidly when they are developed. They produces a drag which require a high power setting, these setting are much more responsive and rapid and thus making power and glide scope correction on approach more rapidly with speed brakes deployed.

d)Large Drouge Parachutes:- It is a parachutes designed for deployement from a rapidly moving object. It is used for various purposes such as to decrese the speed, to provide control and stability or as a pilot parachutes to deploy a larger parachute.

Part - B

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

For this task i have considered Boeing 747-800

Total mass of aircraft inculing payload(M) :- 447,700 kg

Towing Vehicle:- Volkswagen Touareg

Mass of Towing Vehicel(m)- 2135 kg

Gravity- 9.81 m/s^2

Urr= 0.01 (on asphalt )

i) Rolling Resistance Force Calculation for Aircraft:-

Frra= M*g*Urr

Frr= 447700*9.81*0.01 = 43.92 KN

ii) Rolling Resistance Force Calculation for Towing Vehicle:-

Frrt= m*g*Urr

Frr= 2135*9.81*0.01 = 0.209 KN

Total Rolling Resistance Force= Frra+Frrt= 44.12 KN

iii) Aerodynamic Force Calulation:-

Specific Air Density (ρ)- 1.125 kg/m^3

Drag Coefficient (Cd)= 0.025

Frontal area of Towing vehicle(A) - 3.5 m^2 (1.717*1.984, height and width respectively)

Velocity of towing vehicle (v))- 3 m/s

Aerodynamic force (Fad)= 1/2*ρ*Cd*A*(v^2)

Fad= 0.0004 KN

Also the runways are usually the flat surfaces so the uphill force will be 0.

Now the total tractive force required by the towing vehicle will be

Ft= Frra+Frrt+Fad (since the aerodynamic force is very less so we can neglect it)

Ft= 44.12 KN

Also we know that Power Calculation can be given by:-

Pm= Ft*v

Pm= 44.12*3 = 132.38 kW.

B) A simulink model is made by the use of constant, square, product, sum and display block to generate the required force and power.

The model is shown below:-

From the above simulink model we get to know that the motor Power which is required is of 132.38 kW

Task- 7. A. Design an electric powertrain with type of motor, it’s power rating, and energy requirement to fulfill aircraft towing application in Simulink. Estimate the duty cycle range to control the aircraft speed from zero to highest. Make all required assumptions. Prepare a table of assumed parameters. Draw a block diagram of powertrain.

Powertrain Block Diagram:-

Duty Cycle calculation:-

As we have calculated the motor power requirement for the towing vehicle we can now select the motor based upon that value. I have selected HPDM 250 motor for the same

HPDM 250 electric aircraft motor

Technical detail of the motor are as follows:-

It is clear from the datasheet that 95 Nm of cont. torque and 120 Nm of Peak Torque can be provided from the above motor, Motor input Voltage can be considered as 440 V and its rpm can vary from 0 to 20000.

Efficiency of the motor is given as- 94.5 %

also considering 10% loss in the power electronic devices we can calculate the duty cycle required for the motor

Battery Voltage is considered as 500V

So Duty Cycle= Vout/Vin

Vin= 500 V

Vout= 440*0.95*0.9= 376.2 V (where 0.95 is motor eff. and 0.9 is the correction factor)

Duty Cycle (d)= 376.2/500= 75.24%

Assumed Parameter for the motor power calculation:-

Mass Of Aircraft (kg) 447700
Gravity (m/s^2) 9.81
Rolling Resistance Coefficient for asphalt 0.01
Mass of Volkswagen Touareg (kg) 2135
Specific Air Density (kg/m^3) 1.125
Air Drag Coefficient for Towing Vehicle 0.025
Height of Volkswagen Touareg (m) 1.71
Width of Volkswagen Touareg (m) 1.984
Frontal Area (m^2) 3.39264
Velocity of towing vehicle (m/s) 3
Battery Voltage (V) 500
Motor Input Voltage (V) 415
Motor Eff. 0.95
Correction factor 0.9
Uphill gradient 0

Simulink Model:-

Here I have used 4 quadrant Chopper Dc drive and battery having Nominal voltage 500V and rated Capacity 400 Ah.

Speed refrence is given from the step signal which states that duruing first 2 sec the motor speed reference is given as 500 rpm and fior the rest of the time speed reference is changed to -1185. The model look like this:-

The model is ri=un for simulation time of 7 sec and the result are as follows:-

Results:-

Baterry SOC, Current and Voltage are shown below:-

IGBT duty cycles, Armature Voltage, armature Current and Motor speed in rpm of Dc motor is shown below:-

Excel sheet:-

Rolling Resistnace Force Calculation
Aircraft Rolling Resistance Force
Mass Of Aircraft (kg) 447700
Gravity (m/s^2) 9.81
Rolling Resistance Coefficient for asphalt 0.01
Rolling Reistance Force for Aircraft (N) 43919.37
Towing Vehicle Rolling Reistance Force
Mass of Volkswagen Touareg (kg) 2135
Gravity (m/s^2) 9.81
Rolling Resistance Coefficient for asphalt 0.01
Rolling Reistance Force for Towing Vehicle (N) 209.4435
Total Rolling Resistance Force (KN) 44.1288135
Aerodynamic Force Calculation
Specific Air Density (kg/m^3) 1.125
Air Drag Coefficient for Towing Vehicle 0.025
Height of Volkswagen Touareg (m) 1.71
Width of Volkswagen Touareg (m) 1.984
Frontal Area (m^2) 3.39264
Velocity of towing vehicle (km/hr) 10.8
Velocity of towing vehicle (m/s) 3
Aerodynamic Force (N) 0.429381
Aerodynamic Force (KN) 0.000429381
Uphill Force will be zero as the runway are made flat in surface
Total Force Required (Frr) (neglecting aerodrag force since it is too small) (KN) 44.1288135
Tractive Power Required (kW) 132.3864405
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