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Influence of statics and dynamics on high performance catenary designs. A.Carnicero , J.R.Jimenez -Octavio ( jesus.jimenez@upcomillas.es ) M.Such , A.Ramos & C.Sánchez -Rebollo ( csrebollo@upcomillas.es ) Pantograph Catenary Interaction Framework for Intelligent Control

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influence of statics and dynamics on high performance catenary designs

Influence of statics and dynamics on high performance catenary designs

A.Carnicero, J.R.Jimenez-Octavio (jesus.jimenez@upcomillas.es)

M.Such, A.Ramos & C.Sánchez-Rebollo (csrebollo@upcomillas.es)

PantographCatenaryInteraction Framework forIntelligent Control

December 8th, 2011

Amiens, France

outline
Outline
  • Influence of static and dynamicson…

thecatenary-pantographinteraction

  • Influence of static and dynamicson…

theoptimization of thecatenarydesigns

  • Influence of static and dynamicson…

thewindeffectsonthecatenary

  • Influence of static and dynamicson…

thetrack-vehicle-pantograph-catenaryinteraction

catenary pantograph dynamic interaction
Catenary-pantographdynamicinteraction

Difficulties & Models

  • Geometricnonlinearity
  • Contactnonlinearity
  • Discretization (Ω,t)
  • Computational time
  • Accuracy
  • Simplifiedlumped
  • FEM
  • Multibodydynamics
  • Modal analysis
  • PDAE’s
catenary simplified model
Catenarysimplifiedmodel
  • Equivalentstiffness
  • Equivalentmass
catenary fem based model
Catenary FEM basedmodel
  • Spacediscretization
    • Type of elements
      • Truss, Non-Linear trussor Co-rotationaltruss (onlytension)
      • Euler-Bernoullibeam, Non-Linear beamor Co-rotationalbeam
      • Mass-Spring-Dumper
      • Concentratemass
      • Segment-pointcontact
    • Number of elements
  • Time discretization
    • b-Newmarkfamily
    • HHT
    • a-generalized

Height (m)

Distance (m)

space discretization
Space discretization

Elementtype

Contact wire

Contact wire

Elementsbetweendroppers

moving mesh fem model
Movingmesh FEM model

Rough mesh

Movingmesh

Height (m)

Distance (m)

slide8

Densityanalysis & EN50318 validation

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
Comparison of themodels- 300 km/h

Simplified

MEF

MovingMesh

Contact force (N)

Distance (m)

outline1
Outline
  • Influence of static and dynamicson…

thecatenary-pantographinteraction

  • Influence of static and dynamicson…

theoptimization of thecatenarydesigns

  • Influence of static and dynamicson…

thewindeffectsonthecatenary

  • Influence of static and dynamicson…

thetrack-vehicle-pantograph-catenaryinteraction

optimization of the geometry genetic algorithms
Optimization of thegeometry – GeneticAlgorithms
  • Sizing
  • Configuration
  • Topology
  • Materials
  • Spans
  • Masts
  • Cables
  • Droppers

Height (m)

Distance (m)

outline2
Outline
  • Influence of static and dynamicson…

thecatenary-pantographinteraction

  • Influence of static and dynamicson…

theoptimization of thecatenarydesigns

  • Influence of static and dynamicson…

thewindeffectsonthecatenary

  • Influence of static and dynamicson…

thetrack-vehicle-pantograph-catenaryinteraction

wind effects on the catenary
Windeffectsonthecatenary

Windeffects

Statics

Dynamics

static effects on the catenary
Staticeffectsonthecatenary

Lateral displacement [m]

Position [m]

Vertical displacement [m]

contact force variation
Contactforcevariation

Height[m]

ContactForceVariation [%]

ContactForceVariation [%]

Position [m]

Position [m]

Distance[m]

outline3
Outline
  • Influence of static and dynamicson…

thecatenary-pantographinteraction

  • Influence of static and dynamicson…

theoptimization of thecatenarydesigns

  • Influence of static and dynamicson…

thewindeffectsonthecatenary

  • Influence of static and dynamicson…

thetrack-vehicle-pantograph-catenaryinteraction

catenary pantograph vehicle track
Catenary-Pantograph-Vehicle-Track

Ballast

Rail

Rail Clip

Sleeper

effects of 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
Pass overlongviaducts

Differences over 10%,

depending on the kind of large viaduct

pass over short viaducts
Pass over short viaducts

Differences up to 10%,

depending on the kind of short viaduct

final remarks
Final remarks
  • 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 thecatenary Madrid-Barcelona line.
  • Staticparameters and criteria are notenoughtotacklethegeometricoptimization of high performance catenarydesigns.
  • 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.
slide28

Thanks for your attention

A.Carnicero, J.R.Jimenez-Octavio (jesus.jimenez@upcomillas.es)

M.Such, A.Ramos & C.Sánchez-Rebollo (csrebollo@upcomillas.es)

initial equilibrium problem
Initialequilibriumproblem

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
Simplifiedmodels

Equivalent stiffness (droppers slackening)

simplified models1
Simplifiedmodels

Contact force (N)

Distance (m)

fem models
FEM models

Contact force (N)

Distance (m)

moving mesh fem model1
Movingmesh FEM model

Displacement (N)

Distance (m)

catenary pantograph vehicle track1
Catenary-Pantograph-Vehicle-Track

Rail random irregularities

catenary pantograph vehicle track2
Catenary-Pantograph-Vehicle-Track

Rail random irregularities