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94 Cards in this Set

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Traction Force


Train Resistance


Braking Force

Stage 1 of Driving Theory (3 Factors)

Traction Constant of Power Car

Weight of a passenger car that can be towed by the power car according to the speed of the train, expressed in a conversion quantity

Acceleration

Change in velocity over time



Has magnitude and direction

Force

Factor that changes the state/shape of motion of an object.



Destroys the inertia of an object

Centripetal Force

Acceleration towards the center of circular motion

Centrifugal Force

Inertial force on an object in circular motion.



Acts on the side that tends to move outside

Friction

Force along the contact surface of the object that tries to impede its motion in the direction opposite to the force

1) Large starting torque


2) High rotational force at low speed


3) Easy to control speed


4) Low current at large rotation speed, so power is low


5) Less load imbalance when operating in parallel


6) No malfunctions even in case of sudden fluctuations in current and voltage

Characteristics of DC Series Motor (6)

Torque

Force that can rotate an object

T=K○I



K= Constant


○= Flux


I= Current



Unsaturated: kI^2


Saturated: kI

Torque formula

Ec= P○NZ/60a




Ec= Et - IaRa

Counter electromotive force formula

Proportional

Relationship between speed of DC motor and terminal voltage

Inversely proportional

Relationship between speed of DC motor and flux/current

Terminal Voltage Control


Resistance Control


Fueld Current Control

Methods to control DC series motor (3)

Induction motor

Alternating motors that use AC power

Slip Control


Frequency Control


Pole changing control

Speed Control of Induction Motor (3)

Inversely proportional with gear ratio


Directly proportional with diameter

Speed relationship with gear ratio and with wheel diameter

Directly proportional

Gear ratio relationship with tractive force

Maximum permissible rpm


Start traction force


Limitation of car clearance

Factors for gear ratio selection (3)

Load loss

Variable loss

No-load losses

Fixed losses (constant regardless of load)

Copper loss

Resistive losses that occur when current flows

Stray load loss

Losses that change irregularly with changes in load, are difficult to measure, and are relatively low compared to other loads

Iron losses

Vortex losses caused by the rotation of an electric iron core in a magnetic field and hysteresis losses caused by the supply and release of electromagnetic energy to the iron core, some of which id accumulated in the iron core and released as heat energy

Mechanical loss

Friction losses caused by friction parts such as shafts and bearings of electric motors, and wind losses caused by air friction in rotating parts

Efficiency

Ratio of input to output

Continuous Rating

Rating that allows the temperature rise of heat-generating parts to be within allowable range even if the traction motor is operated continuously for a long period of time. Most important rating of a power car

1 hour, 30 minutes, 15 minutes

Short-time ratings

Tractive force

Rotational force generated inside the vehicle that is transmitted to the wheels and exerted on the surface of the wheels

Friction > Traction Force > Train Resistance

Conditions for a power car to accelerate forward without idle

1) Instruction Traction Force (Ti)


2) Tractive force at driving wheel rim (Td)


3) Drawbar Tractive Effort (Te)

Classifications of Tractive Forces by place of action (3)

Tractive force at driving wheel rim

Traction force that is always limited by adhesion force

Tractive force at driving wheel rim

Traction force exerted between wheel and rail surface.



Equal to instruction traction force minus internal losses such as mechanical friction

Instruction traction force

Traction force caused by the structure and characteristics of the powered car and expressed with the output generated by the engine, that is, the traction force when the machine efficiency is 100%

Drawbar tractive effort

Effective traction applied to the coupler at the rear of the power car when operating while towing the passenger/freight car.




Aka effective traction and is the smallest of the traction forces

Adhesion




Adhesive Traction

____ is the friction force between driving wheel rim and rail surface of a motor car




____ is the traction that is limited by this

Nominal tractive capacity

Maximum number of rolling stocks that can be pulled by a locomotive at a given operating speed

traction force of motor car and resistance of train

Nominal tractive capacity is calculated based on ___ and ___

Actual quantity method


Actual gross-tonnage method


Tensile rod load method


Modified gross-tonnage method


Rated cars method

Methods to determine nominal tractive capacity of car (5)

AQ


AGT


TRL


MGT


RC

Towing weight W = T/R




T = Tensile bar pulling force of motor


R = resistance of whole trainset

Weight of passengers/cars when towed by locomotives (+Formula)

1) Ruling grade


2) Virtual grade


3) Equilibrium speed at ruling grade


4) Considerations for calculating traction capacity


Limiting factors for tractive capacity (4)

RG


VG


EQ@RG


C

1) Train Mission


2) Track Status


3) Effective Track/ Platform Length


4) Power Car Status


5) Temperature

Considerations for calculating traction capacity (5)

TM


TS


ET/PL


PCS


T

1) Starting Resistance


2) Running Resistance


3) Gradient Resistance


4) Curve Resistance


5) Tunnel Resistance


6) Inertial Resistance

Resistance Categories (6)

Starting Resistance

Resistance of a stationary train on a flat straight track to start

Curve Resistance

Resistance caused by the curve in addition to running and gradient resistance when passing through a curve

Curve radius


Cant


Slack


Driving speed


Wheelbase


Shape of rail


Friction

Factors affecting curve resistance (6)

CR


C


S


DS


WB


SoR


F

700W/R




W= train weight


R= curve radius

Formula for curve resistance

Inertia Resistance

Resistance to the reaction of the force to accelerate the train

Tunnel Resistance

Resistance as train travels through a tunnel

2 kg/ton for single track


1 kg/ton for double track




Formula: Lv^2/ KW


L= tunnel length; K= constant


v= velocity; W= train weight

Tunnel resistance value (KORAIL)

Running Resistance

Resistance that occurs when a vehicle is traveling on a flat, straight track

Gradient Resistance

Resistance caused by earth's gravity when driving on a track with a gradient

LOSS:


Starting, Running, Curve, Tunnel




NOT LOSS:


Gradient, Acceleration (Inertia?)

Types of resistance that act as losses (and those that don't)

3 km/h

At what speed is starting resistance considered running resistance?

0 km/h

Speed with highest starting resistance

F = uW




u = Coefficient of friction between axle and bearing


W = Burden weight on axle

Formula for friction between axle and bearing

N = (1-s) 120f/P

Induction motor speed Formula

S = (Ns-N)/Ns

Slip formula

1) Up and down, left and right inconsistencies in rail joints


2) Centrifugal force on curved surfaces


3) Wind pressure


4) Slope of wheel surface (taper)

Causes of Vehicle Shaking (4)

Air resistance

Resistance that is independent of vehicle weight and depends on geometry, cross-sectional area, number of connections, etc.

Front


Rear


Vortex between cars


Side and Top

Classifications of air resistance (4)

Front


Rear


Vehicle-to-Vehicle Vortex



Side and Top

___(3) Resistance (Air) are proportional to square of speed


___(1?) are proportional to speed

Gradient Resistance

Resistance when a train travels on a grade, traveling against the Earth's gravity requiring extra traction force

Gradient

Ratio of vertical elevation to horizontal distance

Upward gradient

Uphill gradient in the forward direction

Downward gradient

Downhill slope in the forward direction

Standard Gradient

Highest gradient within a distance of 1 kilometre between neighboring stations or any point between signal stations

Ruling gradient

Gradient that requires maximum traction force for train operation

Converted gradient

Gradient displayed by converting the curved resistance to a gradient

Virtual gradient

Gradient that is algebraically added to the actual gradient by converting the speed change of the train driving the gradient section into a gradient

Momentum gradient

Gradient of the train's hitting power

Reverse gradient

Gradient with alternating up and down gradients

Virtual gradient

Not considered in calculation of traction capacity when train speed is reduced

Average gradient

Gradient resistance multiplied by section length and divided by section length (?)

Equilibrium gradient

Maximum gradient to calculate the traction capacity considering the gradient and train length

Nominal Voltage

line-to-line voltage which represents train line

Driving Device

transmits the rotational force of the main motor to the wheels

Bogie

supports vehicle body and enables driving or braking in direction of track

Operation Curve

graph that indicates the operating condition of train

Clearance

maximum allowable length of track when accommodating trains or vehicles on the track

Adhesion

Frictional force that allows a wheel to continue rotating without slipping on the rail

Standard Driving Time

minimum time traveled between stations




set in units of 30 or 15 seconds




longer than actual driving time

Sliding

Happens when braking force is greater than adhesive force

Lateral force/pressure

Sum of lateral forces measured on the left and right wheels




refers to the lateral force exerted by a rolling stock on a rail under normal running conditions

Carry Capacity

Maximum number of trains that can be operated per day by sorting

Safe, Accurate, Fast

Mission of Railway

SAF

Hand Brake

Primitive brake method installed to prevent a vehicle from moving while stopped

Air brake

Brake system that uses pressurized air to exert breaking force

Automatic


Electromagnetic

Classifications of Air Brake (2)

Power generation braking

Brake method that utilizes the characteristics of DC series motors




Only used for deceleration, cannot achieve certain braking effect

Regenerative braking

Brake method that returns power generated when braking to the catenary to be used by other power vehicles

Rail braking

Brake method that uses magnetic force of opposite polarity between rail and vehicle

Eddy current braking

Brake method that installs eddy current generator on the track to create a braking effect

V^2/20 for passenger train



V^2/14 for freight train

Braking Distance Simplified Formula