Challenge

Powertrain for aircraft in runways

OBJECTIVE: To design an electric powertrain with a suitable motor to fulfill its power rating and energy requirements with an aircraft towing application.

TEST CASES:

1) Search and list out the total weight of various types of aircraft.

2) Is there any difference between ground speed and airspeed?

3) Why is it not recommended to use aircraft engine power to move it on the ground at the Airport?

4) How an aircraft is pushed to the runway when it's ready to take off?

5) Learn about take-off power, tire design, rolling resistance, tire pressure, brake forces when landing.

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

7) Design an electric powertrain with the type of motor, its power rating, and energy requirement to fulfill aircraft towing application. 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 the powertrain.

INTRODUCTION:

What is a Powertrain?

As the name suggests, the powertrain provides power to the vehicle. Powertrain refers to the set of components that generate the power required to move the vehicle and deliver it to the wheels.

Difference between Powertrains of EV's & ICE Vehicles

The powertrain of an electric vehicle is a simpler system, comprising of far fewer components than a vehicle powered by an internal combustion engine.

Main Components of an EV Powertrain

An EV powertrain has 60% fewer components than the powertrain of an ICE vehicle. Which is described below

Battery Pack- The battery pack is made up of multiple Lithium-ion cells and stores the energy needed to run the vehicle. The battery pack provides direct current (DC) output.

DC - AC Converters: The DC Supplied by the battery pack is converted to AC and supplied to the electric motor. This power transfer is managed by a sophisticated motor control mechanism that controls the frequency and magnitude of the voltage supplied to the electric motor in order to manage the speed and acceleration as per the driver's instructions communicated via acceleration/brakes.

Electric Motor: Converts electrical energy to mechanical energy that is delivered to the wheels via single ratio transmission. Many EVs use a motor-generator that can perform regeneration as well.

On-board charger: Converts AC received through charge port to DC and controls the amount of current flowing into the battery pack.

Apart from the above core parts, there are multiple hardware and software components in an EV powertrain. Electronic Control Units (ECUs) are basically software programs integrated with the powertrain components to help data exchange and processing. There are several small ECUs in an EV that perform specific functions. The communication between different ECUs in a vehicle is commonly carried over CAN Protocol. More examples of core ECUs are:

Battery Management System (BMS): A BMS continuously monitors the state of the battery and is responsible for taking necessary measures in case of a malfunction. BMS performs cell balancing to deliver maximum efficiency from the battery pack. It is responsible for communication with other ECUs and sensors as well as EVSEs to control the charging input, to check the current stage of charge and share data about battery specifications.

DC-DC Converter: A battery pack delivers a fixed voltage, but the requirement of different accessory systems (e.g wipers, lights, infotainment system, mirror control) in the EV would vary. The DC-DC converter helps distribute power to different systems by converting the output power from the battery pack to the expected level. After conversion, power is delivered to respective smaller ECUs via a wiring harness.

Thermal Management System: Responsible for maintaining optimum operating temperature range for powertrain components.

Body Control Module (BCM): The BCM is responsible for supervising and controlling the functions of electronic accessories such as power windows, mirrors, security, and vehicle access control.

PROCEDURE:

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

A brief description about these is below:

Manufacturer's Empty weight(MEW)
Also called Manufacturer's Weight Empty (MWE) or Licensed Empty Weight

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 fuel2.

Zero-fuel weight (ZFW)

This is the total weight of the airplane and all its contents (including unusable fuel), but 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.

Maximum zero fuel weight (MZFW) is the maximum weight allowed before usable fuel and other specified usable agents (engine injection fluid, and other consumable propulsion agents) are loaded.

Operating empty weight (OEW) (Roughly equivalent to basic empty weight on light aircraft)

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.

Maxium takeoff weight (MTOW)

This is the maximum weight at which the pilot of the aircraft is allowed to attempt to take off3.

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.

Maxium Loading weight (MLW)

This maximum weight at which an aircraft is permitted to land3.

The following image depicts takeoff weight components.

Maximum ramp weight (MRW)


It is also called maximum taxi weight (MTW)

It is the maximum weight authorized for maneuvering (taxiing or towing) an aircraft on the ground.

Aircraft gross weight

It is the total aircraft weight at any moment during the flight or ground operation. This decreases during flight due to fuel and oil consumption.

Type MTOW [kg] MLW [tons] TOR [m] LR [m] ICAO category FAA category
Antonov An-225 640,000 591.7 3500 Heavy Super
Scaled Composites Model 351 Stratolaunch 589,670 3660 Heavy Super
Airbus A380-800[1][2][3] 575,000 394 3100 1930 Super Super
Boeing 747-8F 447,700 346.091 3100 1800 Heavy Heavy
Boeing 747-8 443,613 306.175 3100 Heavy Heavy
Boeing 747-400ER 412,770 295.742 3090 Heavy Heavy
Antonov An-124-100M 405,060 330 2520 900 Heavy Heavy
Boeing 747-400 396,900 295.742 3018 2179 Heavy Heavy
Lockheed C-5 Galaxy[4][5][6] 381,000 288.417 2530 1494 Heavy Heavy
Boeing 747-200[7] 377,840 285.700 3338 2109 Heavy Heavy
Boeing 747-300[7] 377,840 260.320 3222 1905 Heavy Heavy
Airbus A340-500[8] 371,950 240 3050 2010 Heavy Heavy
Airbus A340-600[8] 367,400 256 3100 2100 Heavy Heavy
Boeing 777F 347,800 260.816 2830 Heavy Heavy
Boeing 777-300ER 351,800 251.29 3100 Heavy Heavy
Boeing 777-200LR 347,450 223.168 3000 Heavy Heavy
Boeing 747-100[7] 340,200 265.300 Heavy Heavy
Airbus A350-1000 308,000 233.5 Heavy Heavy
Boeing 777-300 299,370 237.683 3380 Heavy Heavy
Boeing 777-200ER 297,550 213.00 3380 1550 Heavy Heavy
Airbus A340-300[8][9] 276,700 190 3000 1926 Heavy Heavy
McDonnell Douglas MD-11 273,300 185 2990 1890 Heavy Heavy
Airbus A350-900 270,000 175 2670 1860 Heavy Heavy
Ilyushin Il-96M 270,000 195.04 3115 2118 Heavy Heavy
McDonnell Douglas DC-10 256,280 183 2990 1890 Heavy Heavy
Boeing 787-9[10] 254,000 192.777 2900 Heavy Heavy
Boeing 787-10[10] 254,000 201.849 Heavy Heavy
Airbus A340-200[8][11] 253,500 181 2990 Heavy Heavy
Ilyushin IL-96-300 250,000 175 2600 1980 Heavy Heavy
Airbus A330-300[12][13] 242,000 185 2500 1750 Heavy Heavy
Airbus A330-200[12][13] 242,000 180 2220 1750 Heavy Heavy
Lockheed L-1011-500 231,300 166.92 2636 Heavy Heavy
Boeing 787-8[10] 228,000 172.365 3300 1695 Heavy Heavy
Lockheed L-1011-200 211,400 Heavy Heavy
Ilyushin IL-86 208,000 175 Heavy Heavy
Boeing 767-400ER 204,000 158.758 3414 Heavy Heavy
Airbus A300-600R[14] 192,000 140 2385 1555 Heavy Heavy
Boeing 767-300ER 187,000 136.08 2713 1676 Heavy Heavy
Concorde 185,000 111.1 3440 2220 Heavy Heavy
Airbus A300-600[14] 163,000 138 2324 1536 Heavy Heavy
Boeing 767-300 159,000 136.078 2713 1676 Heavy Heavy
Airbus A310-300[14] 157,000 124 2290 1490 Heavy Heavy
Vickers VC10 152,000 151.9 Heavy Heavy
Boeing 707-320B[15] 151,000 97.5 Heavy Heavy
Boeing 707-320C[15] 151,000 112.1 Heavy Heavy
Douglas DC-8-61 147,000 Heavy Heavy
Airbus A310-200[14] 142,000 123 1860 1480 Heavy Heavy
Airbus A400M 141,000 122 980 770 Heavy Heavy
Douglas DC-8-32 140,000 Heavy Heavy
Douglas DC-8-51 125,000 Medium Large
Boeing 757-300 124,000 101.6 2550 1750 Medium Large
Boeing 707-120B[15] 117,000 86.3 Medium Large
Boeing 757-200 116,000 89.9 2347 1555 Medium Large
Boeing 720B[16] 106,000 79.5 Medium Large
Boeing 720[16] 104,000 79.5 Medium Large
Tupolev Tu-154M 104,000 80 Medium Large
Tupolev Tu-204SM 104,000 87.5 2250 Medium Large
Convair 880 87,500 Medium Large
Boeing 737-900 85,000 66.36 2500 1704 Medium Large
Boeing 737-900ER 85,000 71.35 2804 1829 Medium Large
Boeing 727-200 Advanced[17] 84,000 70.1 Medium Large
Airbus A321-100[18] 83,000 77.8 2200 1540 Medium Large
Boeing 737-800 79,000 65.32 2308 1634 Medium Large
Boeing 727-200[17] 78,000 68.1 Medium Large
McDonnell-Douglas MD-83 73,000 63.28 Medium Large
Boeing 727-100[17] 72,500 62.4 Medium Large
Boeing 727-100C[17] 72,500 62.4 Medium Large
McDonnell-Douglas MD-90-30 71,000 64.41 2165 1520 Medium Large
de Havilland Comet 4 70,700 Medium Large
Boeing 737-700 70,000 58.06 1921 1415 Medium Large
Airbus A320-100[18] 68,000 66 1955 1490 Medium Large
Boeing 737-400 68,000 54.9 2540 1540 Medium Large
de Havilland Comet 3 68,000 Medium Large
Boeing 377 67,000 Medium Large
Boeing 737-600 66,000 54.66 1796 1340 Medium Large
Airbus A220-300 65,000 57.61 1890 1494 Medium Large
Hawker Siddeley Trident 2E 65,000 Medium Large
Airbus A319[18] 64,000 62.5 1850 1470 Medium Large
Boeing 737-300 63,000 51.7 1939 1396 Medium Large
Boeing 737-500 60,000 49.9 1832 1360 Medium Large
Airbus A220-100 59,000 50.80 1463 1356 Medium Large
Airbus A318[18] 59,000 57.5 1375 1340 Medium Large
Boeing 717-200HGW 55,000 47.174 1950 Medium Large
Douglas DC-7 55,000 Medium Large
de Havilland Comet 2 54,000 Medium Large
Boeing 717-200BGW 50,000 46.265 1950 Medium Large
de Havilland Comet 1 50,000 Medium Large
Douglas DC-6A 48,600 Medium Large
Douglas DC-6B 48,500 Medium Large
Embraer 190[19] 48,000 43 2056 1323 Medium Large
Caravelle III 46,000 Medium Large
Fokker 100 46,000 39.95 1621 1350 Medium Large
Douglas DC-6 44,000 Medium Large
Avro RJ-85 42,000 36.74 Medium Large
Handley Page Hermes 39,000 Medium Large
Embraer 175[20] 37,500 32.8 2244 1304 Medium Large
Bombardier CRJ900[21] 36,500 33.345 1778 1596 Medium Large
Embraer 170[22] 36,000 32.8 1644 1274 Medium Large
Bombardier CRJ700 33,000 30.39 1564 1478 Medium Large
Douglas DC-4 33,000 Medium Large
Vickers Viscount 800 30,400 Medium Large
Bombardier Q400 28,000 28.01 1219 1295 Medium Large
Bombardier CRJ200 23,000 21.319 1918 1479 Medium Large
ATR 72-600 22,800 22.35 1333 914 Medium Large
Saab 2000 22,800 21.5 1300 Medium Large
Embraer ERJ 145 22,000 19.3 2270 1380 Medium Large
ATR 42-500 18,600 18.3 1165 1126 Medium Small
Saab 340 13,150 12.930 1300 1030 Medium Small
Embraer 120 Brasilia 11,500 11.25 1560 1380 Medium Small
BAe Jetstream 41 10,890 10.570 1493 826 Medium Small
Learjet 75[23] 9,752 8.709 1353 811 Medium Small
Pilatus PC-24[24] 8,300 7.665 893 724 Medium Small
Embraer Phenom 300[25] 8,150 7.65 956 677 Medium Small
Beechcraft 1900D 7,765 7.605 1036 853 Medium Small
Cessna Citation CJ4[26] 7,761 7.103 1039 896 Medium Small
de Havilland Hercules 7,000 Medium Small
Embraer Phenom 100 4,800 4.43 975 741 Light Small

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

The difference between ground speed and airspeed is caused by the influence of winds on the overall velocity of the aircraft

The relationship between ground speed, airspeed, and wind speed can be written in the following form:

If the wind moves in the same direction as the aircraft, the term Vwind will have a positive sign. If the wind blows in the opposite direction as the plane's motion, Vwind will be a negative number.


Effect of tailwind on ground speed

This important distinction between ground speed and airspeed can be better understood by observing the above example. Let's assume that the aircraft's cruise speed, or its speed relative to the local air, is 500 mph. However, the air itself is not motionless but moves at a speed of 100 mph in this example. Let us also assume that the plane is traveling in the same direction as the wind such that it experiences a tailwind of 100 mph. Since the wind and vehicle both move in the same direction, their velocities add together, and the ground speed becomes 600 mph.

Now let's look at the opposite problem, as illustrated below. In this example, the wind still blows at the same speed with respect to the ground, but its direction is reversed. Now the plane travels against the wind and experiences a headwind of 100 mph. The aircraft is still moving at the same cruise speed of 500 mph with respect to the air, but the difference in the direction of motion of the air means that the wind speed must be subtracted from the plane's airspeed in order to determine the ground speed. The ground speed now becomes only 400 mph.


Effect of headwind on ground speed

In these examples, we assumed some round numbers to simplify the explanation. Let us now consider the case described in the question in greater detail. A Boeing 777 has a typical cruise speed of about 560 mph (900 km/h) at an altitude of 35,000 ft (10,675 m). However, the in-flight entertainment system indicated a ground speed of over 700 mph (1,125 km/h). According to the equation shown above, the plane must have encountered a tailwind of at least 140 mph (225 km/h) to make up the difference. While such a wind speed is indeed larger than normal, it is not unheard of at high altitude. Head and tailwinds of around 60 to 80 mph (95 to 130 km/h) are pretty common at these altitudes, and wind speeds approaching 300 mph (480 km/h) are even encountered on occasion in a region known as the jetstream.

Nevertheless, we have pointed out that Mach number is independent of ground speed or wind speed and depends only on the plane's speed relative to the local airflow. Mach number is defined as the ratio of airspeed (V) to the speed of sound (a) at that altitude. m=v/a

According to the standard atmosphere model. Even if the plane's ground speed is over 700 mph, however, its airspeed will still be only 560 mph. As a result, the aircraft's Mach number turns out to be about 0.84, or 84% of the speed of sound. In other words, the Boeing 777 never flew faster than the speed of sound during your flight.

It is important to understand this distinction between airspeed and ground speed for other reasons beyond those specifically addressed in this question. The entire field of aerodynamics concerns the forces generated on a body as it moves through some fluid, like air. Most notably, a wing can only create lift if it is moving through the air, or air is moving over it. We can see this dependence most clearly in the lift equation that tells us the lift force depends on the square of the vehicle's speed relative to the air.

Note that I said relative to the air, for the direction the wind is blowing can help or hinder a wing in generating lift. This behavior is particularly important during takeoff and landing. Consider, for example, a typical commercial airliner with a takeoff speed of 180 mph (290 km/h). In other words, the plane would need to accelerate down the runway and achieve a ground speed of 180 mph in order to become airborne on a windless day. Now, consider a wind of 25 mph (40 km/h) blowing along the runway. Let's first assume the wind is a tailwind blowing in the same direction as the aircraft as it moves down the runway. We can now solve for the plane's airspeed using the relationship:

Since the tailwind subtracts from the ground speed of 180 mph, the plane's airspeed is only 155 mph (250 km/h). This speed is insufficient to lift off, so the plane needs a longer runway to make up that extra 25 mph and generate the lift needed to takeoff. Conversely, if that wind is a headwind, it adds to the ground speed. Now the plane can takeoff on a shorter runway since it only needs to accelerate to 155 mph. The extra 25 mph is provided by the wind blowing over the wing to give the plane its needed airspeed of 180 mph.

3) Why is it not recommended to use aircraft engine power to move it on the ground at the Airport?

It is not recommended to use aircraft engine power to move it on the ground at airport because there are certain extreme cautions for everything around us like.

  • Applying Thrust (gas) can create a blast behind each engine.
  • People,equipment,and anything else in the way can be injured or damaged from the jet blast.
  • Before we apply power to the engines the areas in front of a each engine are like another super critical factor that must be carefully negotiated.
  • The immediate area in front of a jet engine creates an area where people and equipment can be sucked in to the engine if anything is too close to the intake.
  • So to avoid all such extreme cautions it is not recommended to use aircraft engine power to move it on the ground at the airport.

4) How an aircraft is pushed to runway when its ready to take off?

Solution:

The aircraft is pushed to runway through pushback when it is ready to take off

Pushback is when an aircraft is pushed backwards away from the airport gate by vehicles called tugs or tractors.
Closer to departure, an aircraft tug will park right in front of the nose wheel.
The tug might be directly attached to the plane's nose gear with a tow bar, or could be a "wheel-lift" tug. These tugs cradle the nose gear, then lift it up before moving the plane. That gives the tug driver control over the plane's direction during pushback.
New taxi technologies are appearing, like pilot-controlled tugs, and electric motors mounted to the plane's landing gear. Both promise to save fuel, and reduce airport noise.
In such way an aircraft is pushed to runway when it is ready to take off.
4) Learn about take off power, tyre design, rolling resistance, tyre pressure, brake forces when landing.
i) TAKE OFF POWER: Take off Power is the phase of flight in which an aerospace vehicle leaves the ground and becomes airborne On take-off, in order to position the aircraft to a safe height away from terrain and obstacles (i.e. a flight path of maximum height and minimum ground distance desired), the engine thrust is set to a high ‘take-off power’ setting and the aircraft attitude is pitched up by to maintain a specific speed by fulfilling the task is know as the take off power.

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.

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

Whereas, Power = (T-D-F)V

ii) TYRE DESIGN:

When it comes to safety, 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.

A Boeing 737NG & 737MAX uses 6 wheels, Boeing 787 uses 10 wheels, Boeing 777 uses 14 wheels and Airbus A380 uses 22 wheels. Aircraft tyres work under extreme conditions, carrying up to 340 tons and accelerating at over 250 km/hour at takeoff, in addition to enduring varied environmental stress when in flight and taxiing.

Carcass plies are used to form the tire. They are sometimes called casing plies. 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.

Let’s go through some technical aspects of the tyre.

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.

Aircraft tyres may be Tube-type or Tubeless

Tubeless tyres are more advantageous over tube-type. There is no longer the use of tube-type tyre in recent aviation. Nowadays all airliners are using tubeless tyres. Tubeless that are meant to be used without a tube has the word TUBELESS on the sidewall of the tyre.

Aircraft tyres may be Radial or Bias

Almost all airliners are using Radial tyre. Bias is an older design, and it’s mainly used for road vehicles. Radial tyres have the word RADIAL on the sidewall. Radial tires are more expensive than bias-ply tyres. Radial tires are in demand because of their lower life cycle cost and long term value.

Are aviation tyres are conductive?

Yes, Today’s tyres are conductive. Aircraft tyres are manufactured with tread rubber with conducting compounds to permit earthing of static charges.

In early days when tyres were not sufficiently conductive, aircraft used to have a conductive strip hanging down from the axle of the landing gear. Upon landing, this strip would be the first part of the aircraft to touch the earth. This discharges any static electricity accumulated on the outer surfaces of the aircraft. Now you don’t see them any more.

What is the purpose of Chines in aviation tyre

Chines are also called deflectors. Chine tyre used on the nose wheel of aircraft, specially fuselage-mounted jet engines. It diverts runway water away from the engine inlets.

Chines are circumferential protrusions that are moulded into the sidewall of nose tyres that deflect water sideways to help reduce excess water ingestion into the engines. Tyres may have chines on one or both sides, depending on the number of nose tyres on the aircraft.

Aircraft Tyre Standards

Each tyre manufacturer produces their own designs of the tyre with different tread patterns, wear patterns, wear limits etc, and in some cases, different names for the same part of the tyre. But all tyres must meet the approved standards before being accepted by the FAA or CAA.

All commercial aircraft tyres approved under FAA Requirement Technical Standard Order (TSO) C62. A TSO is a minimum performance standard for specified materials, parts, and appliances used on civil aircraft.

iii) ROLLING RESISTANCE:

Rolling resistance is the force resisting the motion when a body (such as a ball, tire, or wheel) rolls on a surface.

Rolling resistance can be seen in the aircraft when the aircrat Takes off from the runway and while landing at the runway with the help of their wheels.

The rolling resistance can be expressed as

Fr = c W

where

Fr = rolling resistance or rolling friction

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

W = m ag

= normal force - or weight - of the body

m = mass of body (kg, lb)

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

The rolling resistance can alternatively be expressed as

Fr = cl W / r

where

cl = rolling resistance coefficient - dimension length (coefficient of rolling friction) (mm, in)

r = radius of wheel (mm, in)

Rolling Coefficients

The rolling coefficients for air filled tires on dry roads can be estimated

c = 0.005 + (1 / p) (0.01 + 0.0095 (v / 100)2)

where

c = rolling coefficient

p = tire pressure (bar)

v = velocity (km/h)

iv) TYRE PRESSURE :

Aircraft tires generally operate at high pressures, up to 200 psi (14 bar; 1,400 kPa) for airliners, and even higher for business jets.

The main landing gear on the concorde was typically inflated to 232 psi (16.0 bar), whilst its tail bumper gear tires were as high as 294 psi (20.3 bar). The high pressure and weight load on the Concorde tyres were a significant factor in the loss of Air france flight 4590

Tests of airliner aircraft tires have shown that they are able to sustain pressures of maximum 800 psi (55 bar; 5,500 kPa) before bursting. During the tests the tires have to be filled with water, to prevent the test room being blown apart by the energy that would be released by a gas when the tire bursts.

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.

The requirement that an inert gas, such as nitrogen, be used instead of air for inflation of tires on certain transport category airplanes was prompted by at least three cases in which the oxygen in air-filled tires combined with volatile gases given off by a severely overheated tire and exploded upon reaching auto ignitation temperature The use of an inert gas for tire inflation will eliminate the possibility of a tire explosion.

v) BRAKE FORCE WHEN LANDING :

Aircraft brakes stop a moving aircraft by converting its kinetic energy to heat energy by means of friction between rotating and stationary discs located in brake assemblies in the wheels. Brakes provide this critical stopping function during landings to enable airplanes to stop within the length of the runway.

The following braking devices are used to decelerate the aircraft until it stops:

  • Ground spoilers;
  • Wheel brakes (including anti-skid systems and autobrake systems)and,
  • Thrust-reverser

Ground Spoilers

Ground spoilers usually deploy automatically (if armed) upon main-landing-gear touchdown or upon activation of thrust reversers.

Ground spoilers provide two aerodynamic effects:

  • Increased aerodynamic drag, which contributes to aircraft deceleration; and,
  • Lift-dumping, which increases the load on the wheels and, thus, increases wheel-brake efficiency

Wheel Brakes

Braking action results from the friction force between the tires and the runway surface.

The friction force is affected by:

  • Aircraft speed;
  • Wheel speed (i.e., free-rolling, skidding or locked);
  • Tire condition and pressure (i.e., friction surface);
  • Runway condition (i.e., runway friction coefficient);

The load applied on the wheel

Braking force is equal to the load applied on the wheel multiplied by the runway friction coefficient.

Anti-skid systems are designed to maintain the wheel-skidding factor (also called the slip ratio) near the point providing the maximum friction force, which is approximately 10 percent on a scale from zero percent (free-rolling) to 100 percent (locked wheel),

Autobrake systems are designed to provide a selectable deceleration rate, typically between three knots per second and six knots per second

When a low autobrake deceleration rate (referred to hereafter as a “LOW” mode) is selected, brake pressure is applied usually after a specific time delay to give priority to the thrust-reverser deceleration force at high airspeed.

Thrust Reversers

Thrust reversers provide a deceleration force that is independent of runway condition.

Thrust-reverser efficiency is higher at high airspeed therefore, thrust reversers must be selected as early as possible after touchdown (in accordance with standard operating procedures).

Thrust reversers should be returned to reverse idle at low airspeed (to prevent engine stall or foreign object damage) and stowed at taxi speed

Nevertheless, maximum reverse thrust can be maintained to a complete stop in an emergency.

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

Here with the certain assumptions

The forces that are acting on the aircraft are

i) Rolling Resistence

ii) Drag Force

i) Rolling Resistence for the Aircraft

Now, Here the Rolling resistence be

Fr = c. mr. ag

Here from the above formula

Let,

Fr = Rolling resistence

c = coefficient of rolling resistence (0.005)

mr = rolling mass (50000 kg)

ag = Acceleration of gravity

Now Substituting the values in the above formula gives us the Rolling resistence of the Aircraft

Fr = 0.005(50000 kg)(9.81 m/s^2)

Therefore the Rolling resisrence of the aircraft Fr = 2452.5 N

Rolling Resistence for the Towing Vehicle

Now let us calculate the rolling resistence for the Towing Vehicle

Fr = c. mr. ag

Fr = 0.002(78000 kg)(9.81 m/s^2)

Therefore the Rolling resisrence of the Towing vehicle Fr = 1530.36 N

ii) Drag Force

Where,

D = Drag force

C = Drag Coefficient ( 0.22)

V = Velocity of Towing Vehicle (5 m/s)

A = Frontal area (2)

Now Substituting the assumed values in the above formula gives us the Drag force of the Towing vehicle

Drag Force = (0.22*1.25*2*5*5)

= 6.87 N

Therefore the Drag force is = 6.87 N

Now to get the total force to push the aircraft by the towing vehicle

we add the Rolling resistence of the Aircraft + Rolling resistence of Towing Vehicle + Drag Force

= 2452.2 N + 1530.36 N + 6.87 N

Therefore the Total force required to a towing vehicle to push the aircraft is = 3989.73 N

Torque Required with the wheels of towing vehicle to push the aircraft

Torque = force x radius

assuming the radius of the wheels = 0.4572 m

= 3989.73 * 0.4572

Torque = 1824.10 Nm

Therefore the Totque required to the towing vehicle to push the aircraft = 1824.10 Nm

Power required to the towing vehicle to pull the aircraft

In this case, Power = force * velocity

= 3989.73 * 5.0

= 19.94*10^3 W

= 19.94 kW

Therefore the power required for the towing vehicle to pull the aircraft = 19.94 kW

7) Design an electric powertrain with type of motor, it’s power rating, and energy requirement to fulfill aircraft towing application. 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.

Main Components of an EV Powertrain

An EV powertrain has 60% fewer components than the powertrain of an ICE vehicle. The components are described below.

Battery Pack – The battery pack is made up of multiple Lithium-ion cells and stores the energy needed to run the vehicle. Battery packs provide direct current (DC) output.

DC-AC Converter – The DC supplied by battery pack is converted to AC and supplied to the electric motor. This power transfer is managed by a sophisticated motor control mechanism (also referred to as Powertrain Electronic Control Unit) that controls the frequency and magnitude of the voltage supplied to the electric motor in order to manage the speed and acceleration as per driver’s instructions communicated via acceleration/brakes.

Electric Motor – Converts electrical energy to mechanical energy, that is delivered to the wheels via single ratio transmission. Many EVs use motor generators that can perform regeneration as well.

On-board Charger – Converts AC received through charge port to DC and controls the amount of current flowing into the battery pack.

Core Components of an EV Powertrain

Starting with the Motor

i) In Motor Design :

Assuming

Type of Motor = BLDC Motor

Rated Power = 20-25 kW

Peak Power = 50 kW

Speed = 3200 - 5000 rpm

Rated Torque = 80 Nm

Peak Torque = 160 Nm

Efficiency = > 80 %

ii) In Power Rating :

The rated power of the Motor is 25kW and the peak power of the motor is double the rated power of the motor which is 50kW

The Converter used in this is DC - AC Converter

Assuming the Input Voltage = 349 V

and the Input Current as = 70 A

Now, Power Input = Voltage x current

= 349 x 70

= 24.30 kW

iii) In Energy Requirements :

The Energy requirement for an EV similar to the Towing vehicle to Push/Pull the aircraft is calculated on the Basis of Time

Let, Energy = Power x Time taken by the towing vehicle to push/pull the aircraft

We know that Power is = 24.30 kW

Time Taken by the Towing vehicle to push/pull the aircraft = 15 Minutes

So, Energy = 24.30 x 15 x 60

= 21870 KJ

= 6.075 kW

Therefore power required for one single towing is = 6.075 kW

iv) Duty Cycle :

Here in this case the Duty cycle of the electric power train is calculated by the output power by the input power.

by this we get the efficiency of the duty cycle

So here in this case,

Duty Cycle = Output Power / Input Power

We Know that,

Output Power as = 19.94 kW

Input Power as = 24.30 kW

Then the Duty Cycle is = 19.94 / 24.30

= 0.82 %

Therefore the Efficiency of the Duty cycle that we get for this electric power train is = 0 to 0.82 %

v) BLOCK DIAGRAM OF THE POWERTRAIN :

CONCLUSION: Therefore the design of an electric powertrain with a suitable motor has fulfilled its power rating and energy requirements with an aircraft towing application by estimating the duty cycle range to control the aircraft speed from zero to the highest.

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