influence of statics and dynamics on high performance catenary designs a.carnicero,...

Influence of statics and dynamics on high performance catenary designs

A.Carnicero, J.R.Jimenez-Octavio ([email protected]) M.Such, A.Ramos & C.Sánchez-Rebollo ([email protected])

Pantograph Catenary Interaction Framework for Intelligent Control

December 8th, 2011Amiens, France

mailto:[email protected]


2Instituto de Investigación TecnológicaEscuela Técnica Superior de Ingeniería ICAI

Amiens, FranceDecember 8th, 2011

Outline

• Influence of static and dynamics on… the catenary-pantograph interaction

• Influence of static and dynamics on…the optimization of the catenary designs

• Influence of static and dynamics on…the wind effects on the catenary

• Influence of static and dynamics on…the track-vehicle-pantograph-catenary interaction



Catenary-pantograph dynamic interaction

• Simplified lumped• FEM• Multibody dynamics• Modal analysis• PDAE’s

Difficulties & Models• Geometric

nonlinearity• Contact nonlinearity• Discretization (Ω,t)• Computational time• Accuracy



Catenary simplified model

Equivalent stiffness

Equivalent mass



Catenary FEM based model Space discretization

Type of elements Truss, Non-Linear truss or Co-rotational truss (only tension)Euler-Bernoulli beam, Non-Linear beam or Co-rotational beamMass-Spring-DumperConcentrate massSegment-point contact

Number of elements

Time discretization -b Newmark family HHT -a generalized

Distance (m)

Heig

ht

(m

)



Space discretization

Cont

act w

ire

Messenger wire

Truss Euler Beam Co-rotational

Euler Beam 4.87 h. 5.25 h. 4.68 h.

Co-rotational 6.02 h. 5.81 h. 6.04 h.

Elements between droppers

Messenger wire

3 6 9

3 2.65 h.

6 2.93 h. 4.27 h. 5.35 h.

9 6.04 h.

12 7.89 h.

15 9.90 h.

Con

tact

wir

e

Element type



Moving mesh FEM model

Distance (m)

Heig

ht

(m

)

Rough meshMoving mesh



Density analysis & EN50318 validationMessenger

wire Contact wireMoving mesh

5 10 15 20 25 30

3 3 2.16 h. 2.22 h. 2.29 h. 2.27 h. 2.29 h. 2.33 h.

3 6 3.99 h. 3.65 h. 3.63 h. 3.68 h. 3.66 h. 3.62 h.

6 9 7.69 h. 7.78 h. 7.30 h. 7.03 h. 6.86 h. 6.65 h.

EN50318:2002 “Validation of simulation of the dynamic interaction between pantograph and overhead contact line”.

The Technical Specifications for Interoperability (TSI:2008) Energy subsection requires the simulation of the catenary-pantograph dynamics with a EN50318 validated

simulation method



Comparison of the models - 300 km/h

Distance (m)

Conta

ct

forc

e (

N)

SimplifiedMEFMoving Mesh



The close-future 3D simulation model



Outline







Optimization of the geometry – Genetic Algorithms

Distance (m)

Heig

ht

(m

)

• Sizing• Configuratio

n• Topology• Materials

• Spans• Masts• Cables• Droppers



Pareto front for the 1st and all of the droppers



Optimized design – FQ1



Dynamic check of the designs - 300 km/h



Outline







Wind effects on the catenary

Wind effects Statics Dynamics



Static effects on the catenary

Position [m]

Late

ral d

isp

lace

men

t [m

]Vert

ical d

isp

lace

men

t [m

]



Buckling effects on the catenary



Contact force variation

Position [m]

Con

tact

Forc

e V

ari

ati

on

[%

]

Distance [m]

Heig

ht

[m

]

Position [m]

Con

tact

Forc

e V

ari

ati

on

[%

]



Outline







Catenary-Pantograph-Vehicle-Track

Rail Clip

Sleeper

Rail

Ballast



Random irregularities on the track



Effects of random irregularities on the track

Differences around 3% in the contact forces and around 8% in displacements



Pass over long viaducts

Differences over 10%, depending on the kind of large

viaduct



Pass over short viaducts

Differences up to 10%, depending on the kind of short viaduct



• A moving FEM mesh proposal has been compared to a simplified method based on statics and a classic FEM.

• The moving FEM mesh dynamic simulation is validated by EN50318, saves 30% CPU time over classic FEM mesh and has been used into the certification of the catenary Madrid-Barcelona line.

• Static parameters and criteria are not enough to tackle the geometric optimization of high performance catenary designs.

• Lateral wind can result in huge displacements and even the buckling of certain registration arms. The variability of the contact forces grows up besides the dynamic displacements may reach critical values.

• The simulation of the Catenary-Pantograph-Vehicle-Track with accurate static characteristics allows to obtain more realistic values of the Catenary-Pantograph dynamic interaction.

Final remarks

Instituto de Investigación TecnológicaSanta Cruz de Marcenado, 2628015 MadridTel +34 91 542 28 00Fax + 34 91 542 31 [email protected]

www.upcomillas.es

Thanks for your attention

A.Carnicero, J.R.Jimenez-Octavio ([email protected]) M.Such, A.Ramos & C.Sánchez-Rebollo ([email protected])





Initial equilibrium problem• The initial geometry of the catenary is unknown because is

coupled with the wires tension• The lenght of the droppers must be computed as a first step



Simplified models

Equivalent stiffness (droppers slackening)



Simplified models

Distance (m)

Conta

ct

forc

e (

N)



FEM models

Distance (m)

Conta

ct

forc

e (

N)



Moving mesh FEM model

Distance (m)

Dis

pla

cem

ent

(N)



Geometry optimization



Catenary-Pantograph-Vehicle-Track• Rail random irregularities

influence of statics and dynamics on high performance catenary designs a.carnicero,...

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