Abstract
The performance of brakes has become important due to increased train speeds. The brake system of a train must possess a large brake force to stop the train safely within a limited stopping distance. However, an excessive brake force deteriorates the ride comfort and causes the train to skid. Therefore, it is necessary to control the brake force within the adhesion force limit. This paper presents an analytical method to estimate the relationship between the brake and adhesion forces of a disc brake system. This method has been applied to the actual disc braking control system of the Korea High-Speed Train (HSR350x), and the adhesion force is estimated in an actual skid condition.
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Abbreviations
- V :
-
train speed
- V 0 :
-
initial velocity of the vehicle
- v w :
-
wheel speed
- v s :
-
skid speed
- β :
-
train deceleration
- t :
-
time from braking start to the current point
- F b :
-
brake force
- P :
-
cylinder pressure
- A :
-
cylinder area
- n :
-
number of discs
- i :
-
lever ratio
- R :
-
wheel radius
- r :
-
disc radius
- µ:
-
friction coefficient
- F s :
-
reaction force of spring
- I :
-
mass moment of inertia
- w :
-
angular velocity of wheel
- P 0 :
-
pressure when skid is detected
- T 1 :
-
time constant of pressure decrease
- v c :
-
speed difference at skid perception point
- F m :
-
adhesion force
- F d_b :
-
brake force from each disc brake equipment
- mg :
-
load applied to each wheel set
- F m2 :
-
adhesion force of region II
- T :
-
requirement time for region III
- F m3 :
-
adhesion force of region III
- v s_max :
-
maximum skid speed
- F m4 :
-
adhesion force of region IV
- T 2 :
-
time constant of pressure increase
- v s4 :
-
skid speed of end point in region IV
- P 1 :
-
minimum pressure
- ΔP :
-
pressure difference between minimum pressure and current pressure in region V
- F m5 :
-
adhesion force of region V
- α :
-
adhesion force decreasing coefficient
- t c :
-
time at skid perception point
- F m1 :
-
adhesion force of end point in region I
References
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Kim, Y.M., Kim, Y.G., Kim, S.W. et al. Estimation of the adhesion force for a disc brake in a skid control condition. Int.J Automot. Technol. 11, 673–680 (2010). https://doi.org/10.1007/s12239-010-0080-7
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DOI: https://doi.org/10.1007/s12239-010-0080-7