Title: Safety of railway tracks in case of strong crosswind
1Safety of railway tracks in case of strong
crosswind
Florence SOURGET SNCF, Research and Technology
Department
2 Safety of railway track in case of strong
crosswind
- Higher potential risk of overturning has been
identified on the Mediterranean line. - Influent factors are
- - Geographical location in a windy area,
- High viaducts and Embankment built on the line,
- The operational train speed which reaches 300
km/h.
Paris
LN1
Lyon
Valence
LN5
Avignon
Marseille
First, risk due to crosswind had to be defined
and characterized, then appropriate protection
measures had to be taken for the safety level on
the Mediterranean line to be equivalent to other
high speed lines.
Montpellier
3Safety of railway track in case of strong
crosswind
Vehicle sensitivity to crosswind
Line sensitivity to crosswind
4Risk due to crosswind Vehicle sensitivity
Aerodynamic Coefficients
Safety criterion
?Q/Q0 ? 0,9
Wind Model
Railway dynamics simulations
CWC Characteristic Wind Curves
Mechanical Model
Configuration (flat ground, embankment, curve,
speed, )
5Risk due to Crosswind Line sensitivity
Partition of the line
Identification of critical sites
Wind Modelling
Monitoring System
Safety Level
Protection Strategy
Definition and scaling of the protections
6Risk due to crosswind Dynamic Protection System
(SPD)
LN5 12 zones, 1 anemometer /zone
7Risk due to crosswind Pattern of the safety
analysis
Hazard event Vehicle overturning due to high
wind gust anywhere on the line
- Risk expressed by train.
- Risk expressed by element
- Partition of the line into elements of 50 metres
- length of the gust
longitudinal component . - A train running on LN5, meets different gusts one
after the other.
Hazard event instantaneous joint realization of
two independent events.
8Risk due to crosswind Probability of overturning
Critical Gust wind gust greater or equal to the
threshold wind value VCWC defined by the
Characteristic Wind Curves (for a given running
speed VT) plus a fixed wind margin ?V (estimated
in wind tunnel test). (VOverturningVCWC ?V).
Therefore P(R) P(RVT300) PVT(300)
P(RVT170) PVT(170) P(RVT80) PVT(80)
P300 PVT(300) P170 PVT(170)
P80 PVT(80)
With PVT conditional probability for a wind gust
to be critical given the train running
speed Pvtrain(VT) probability for a train to run
at the speed VT.
9Risk due to crosswind Modelling of wind transfer
10Risk due to crosswind Meteorological database
- Cumulative distribution function of the mean
wind at anemometer
- Database of observed mean wind at MeteoFrance
stations - Law fitting on the data (Weibull) with Hazard
Plotting - Estimation of Bootstrap Confidence Interval for
the distribution - Selection of upper quartiles of the distribution
- Transfer coefficients anemometer ? line
- Estimation of the coefficients from data
collected on temporary anemometers on the line - Analysis of the variations which are taken into
account as gaussian noise.
11Risk due to crosswind Probability of critical
gust PVT
The probability of critical gust is estimated
from the previous wind modelling
12Risk due to crosswind Uncertainties in the
Characteristic Wind Curves
- Uncertainties due to the aerodynamic
coefficients measurements in wind tunnel tests
are taken into account
- Polynomial modelling under constraints on
regularity and passage by 0. - Estimation of the modelling error
- Simulation of the coefficients from a Student law
- A new dimension is added into the integrals
calculation
13Risk due to crosswind Probability of running
speed Pvtrain(VT)
The running speed of the train depends on the
forecasting values of the mean wind at
anemometer. The conditional distribution of the
forecasted wind Vpredit given the real mean wind
is known through the formula Vpredit Vm
erprediction where erprediction is the
forecasting error is
distributed as a normal variable N(bias,
sprediction)
14Risk due to crosswind Tests and results
- Two calculation codes
- Analytical resolution
- Monte Carlo Simulation
- Numerous configurations are tested
- Presence or absence of fences
- Presence or absence of the dynamical protection
system - Two wind margins 0 or 10 km/h
- Different traffic
15Risk due to crosswind Results analysis
- Results are analysed
- in terms of importance
- in a relative way
- Two configurations are analysed wind margin 10
km/h - Deterministic Characteristic Wind Curves and
upper quartile used for the mean wind
distribution - Probabilistic Characteristic Wind Curves and
usual mean wind distribution
- Whatever the configuration
- Fixed protection (fences) reduce the risk by
half. - Complete protection system reduces the risk by a
factor of 6. - With the complete protection system, return
periods are greater than 200 years (target
reached)
16Risk due to crosswind Conclusion
- Development of a complete methodology of risk
analysis which includes - meteorology (gust modeling and wind data)
- aerodynamics
- railway dynamics
- probability and risk analysis
- Results allow to determine
- the most dangerous sites where fences are a
necessity. - the contribution of the different protections on
the level of safety. - the level of safety which is ensured on the line
and its coherence with the safety target.