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Pantograph wear assesment in overhead conductor rail systems P. Rodríguez, B. Suarez, J.A. Chover, J. Terrón andJ.D. Sanz
Wear is the phenomenon that determines the Hfetime of the collector strips. Since wear is an inevitable effect on pantograph-catenary systems, it is necessary to determine optimal operating conditions that can mitígate its effects. In this study we have performed a simulation model of the pantograph-overhead conductor rail system which allows the evaluation of the dynamic conditions of the system through the contact forcé. With these results we have made an evaluation of the quality of current collection, a calculation of the pantograph wear and a definition of the optimal operation conditions of the pantograph-overhead conductor rail system.
PANTOGRAPH WEAR ASSESMENT IN OVERHEAD CONDUCTOR RAIL SYSTEMS
Pablo Rodríguez, Berta Suarez, José A. Chover, Jorge Terrón and Juan D. Sanz Research Centre on Railway Technologies (CITEF). Universidad Politécnica de Madrid
C/Jose Gutiérrez Abascal, n°. 2, 28006, Madrid, SPAIN e-mail: [email protected]
Abstract
Wear is the phenomenon that determines the lifetime of the collector strips. Since wear is an inevitable effect on pantograph-catenary systems, it is necessary to determine optimal operating conditions that can mitígate its effects. In this study we have performed a simulation model of the pantograph-overhead conductor rail system which allows the evaluation of the dynamic conditions of the system through the contact forcé. With these results we have made an evaluation of the quality of current collection, a calculation of the pantograph wear and a definition of the optimal operation conditions of the pantograph-overhead conductor rail system.
1. INTRODUCTION
Wear is the phenomenon that determines the lifetime of the collector strips, which establish the necessary contact for driving power from the catenary to the pantograph in railway vehicles. Since wear is an inevitable effect on pantograph-catenary systems, it is necessary to determine optimal operating conditions that can mitígate its effects.
The objective of study is to carry out a dynamic analysis of the system pantograph-overhead conductor rail, in order to study the conditions that allow a correct quality of current collection system and within these, which are those that maximize the life of collector strips, due to a lower wear.
This work has been developed within the Research Centre on Railway Technologies (CITEF). This Centre has an experience of a decade in dynamic simulation of pantograph-catenary systems [1-4].
2. DYNAMIC ANALYSIS. QUALITY ASSESSMENT OF CURRENT COLLECTION
It has been employed a model of the pantograph-overhead conductor rail system that combines simulation techniques of multibody systems with calculation by finite element, to consider the flexibility of the overhead conductor rail.
Figure 1. Model of the pantograph-overhead conductor rail system
In this model the main parameters of the system analyzed have been taken into account, carrying out variations of these to identify their influence, both in the quality of current collection as in the wear of the pantograph. These parameters are: distance between supports (8 and 10 m), stagger type (sine or linear), static forcé (between 50 and 200N), speed (between 50 and 150 km/h) and pantograph type (it has been modeling two types, corresponding to a metropolitan train and a suburban train).
The quality of current collection has been assessed in accordance with the criterion of the current standards through the contact forcé obtained in the simulations. It has been used statistical criterion as well as the percentage of take-offs.
• Statistical criterion: Taking into account the statistical distribution of valúes of the contact forcé, will define the next quotient is defined:
3<7F
where aF is the standard deviation of the contact forcé, and Fm is that forcé media. For valúes below unity the quality of current collection will be guaranteed.
• Calculation of the percentage of electric ares: This method determines the proportion of take-offs by calculating the term:
L torco NQ = t total
xlOO
which, for valúes less than the 0.14%, will ensure correct capturing quality.
Both the statistical parameter of the contact forcé as the percentage of take-offs are plotted against the static forcé and velocity, for each pantograph model and distances between supports (8 and lOm).
Static Forcé [N]
Figure 2. Statistical quotient (Je) against the static forcé and velocity
These results have led to the conclusión that an increase in velocity implies an increase in the valúes of Je and NQ, and therefore a lower quality of current collection (Figura 3a). On the other hand, the variation of static forcé has shown minimal valúes of Je and NQ, and therefore, optimal conditions of operation of the system for a particular valué of static forcé (Figura 3b).
^ - F ^ 5 0
I - F O 7 0
F-090
F - l l ü
F-130
Í F - 1 5 0
V O S ! V-060 V -070 V-OSO V-OSO V-10O V-11C V-120 V-12J9 V-14D \
Speed [Km/hl
a) Against speed. Constant staticforcé b) Against static forcé. Constant speed
Figure 3. Statistical quotient (Je)
The results of the simulations nave revealed the conditions that lead to a better quality of cunent eolleetion, as well as rejeet those cases with some unaeeeptable conditions. These results have been a previous filter. Only conditions which satisíy both entena have been objeet of study of the wear produced. The following table summanzes the cases that meet the statistical criterion (E) or the percentage of take-offs (A), for each pantograph model (A o B), distance between supports, static forcé and speed.
E - Statistical criterion
A - Percentage of take-offs
•/ - Acceptable
X- Unaeeeptable
Modal A
h -:--.í
f.yíi) F-090
F-110
F-130
F-1S0
F - I B O
F 200
V-060
E | A
V-060
E | A
V-070
E | A
V
r A
v o s o
E l . V
E
JO
A
•
•
•
' .
1 V-110
r a V-120
E A
V 1 •
E | A
V-140
r A
V-150
E A • »
E « .
F J 9 0
' • " '
,.,„
V-050
El* V 0 6 0
E | A
V-070
t | «
v-oeo E | A
- • " • •
E | A
V
« V-110
,l> V-120
F. A
V-1 Í0
E | A
V-140
E | »
V I 60
E|.
Model A - lOm Model B - lOm
Modal A
F-050
F-070
F-090
F-t10
F-130
F-150
F 180
F-200
, « 0
E | .
V-060
L | A
V :• ' •• .
E | »
'.' :- •
E A . -E | .
V-100
E A ».„. ».,„ V- 1 X
E | «
v-uo E A
V - , »
f oso
F 070
F-090
• 110
F-130
! IbO
• 1S1J
1 2W
voso
.|. v-oeo , | A
V 070
• 1» V-080
• 1» V-090
,|. v-ioo
• l« v 11U
,|. V l i o
• l . V-1J0
,|. V 140
•1» v VM
,|.
Figure 4. Quality assessment ofeurrent eolleetion
WEAR MODEL
In order to model pantograph wear is necessary to use an equation that include the contribution to the rate of wear both of the contact forcé, electric cunent and the appearance of electric ares, but at the same time taking into consideration the influence that each of these phenomena performs on each other [5] [6]. Thus, not considering the contribution by arches that have been removed in the preceding paragraph, the next equation has been used:
A = (í + i0)n 4K
Where the kF, kt and n constants are known for the bibliography, and the other data, contact forcé (Fe), sliding velocity (V) and electric cunent (i) are calculated through the results from dynamic simulations and the resolution of the equivalent eléctrica! circuit of the railway system. This model has
allowed to obtain the curve of pantograph wear (wear depth for each point of the collector strip width), by the addition of the contributions mechanical and electrical.
Collector Strip Width [m]
Figure 5. Pantograph wear
The results (Figure 6) obtained for the mechanical contribution show as the peak valúes of wear are obtained when the pantograph pasat the points of passage through the supports. Besides increasing the speed or the static forcé leads to a higher mechanical wear. Mechanical wear is less with the linear stagger.
a) Constant static forcé
Collector Strip Width [m] Collector Strip Width [m]
-V_50 ^—V_60 V.70 — V_80 V 9 0 V_10O - - V _ 1 1 0 - - V _ 1 2 0 - - V.130 - - V . 1 4 0 - - V _ 1 S 0
5ire Linear
0,012
b) Constant speed
Collector Strip Width [m] Collector Strip Width [m]
F_50 F_70 F_90 F_11D F_130 F _ 1 5 0 - - F _ 1 8 0 - - F _ 2 0 O
Figure 6. Pantograph wear depth (h) - Mechanical contribution
In regards the electric contribution can be seen as, unlike the mechanical contribution, the points of passage through the supports present valleys in the pantograph wear. Thus, according to the preponderance of any contribution will be peaks or valleys in the total wear at the points of passage through the supports.
On the other hand, as for mechanical wear, increasing the velocity leads to higher electrical wear. However, the static forcé behavior presents a contrast to the previous case. An increase in the static forcé produces a decrease in wear due to electrical phenomena. The stagger type is not a relevant factor for the electrical contribution to wear.
•",
r\ i " . - « ' \
, • • —
*
•.
--
r\ f * *#*»* \
*
/ ' \
-
r\r , - \ r
I '4
I 0,0.
, \ - . " , / W \ , ' . - ' - , ,".---. />.-/•, ;\-.\
L V \L \L k l \t >
.' \ t • . ' - - ' "< -' ' • - ' ' -
• > • * • • • » , • • , ,
—A." .;ii^,.' \Z^~'. '
a) Constant static forcé
Collector Strip Width [rr Collector Strip Width [m]
-V_50 — V_60 V_70 V.80 ^ V _ 9 0 ^ V _ 1 0 0 - - V _ 1 1 0 - - V _ 1 2 0 - - V.130
Sine Linear
-V_140 - - V _ 1 5 0
-3QOOQÉ -ÜQÜÜÜÜ (—\l—\(—V—v—\i—^
b) Constant speed
Collector Strip Width [m] Collector Strip Width [m]
F_50 F_70 F_90 F_110 F_130 F _ 1 5 0 - - F _ 1 8 0 F_200
Figure 7. Pantograph wear depth (h) - Electrical contribution
Finally, the sum of the two contributions mechanical and electrical gives total wear. The increase in speed increases both the electrical wear as the mechanical wear, and therefore also total wear. However, the effects of static forcé for mechanical and electrical contributions are opposite and depend on the speed. Thus, at low speeds an increase of static forcé leads to a greater total wear, while at high speeds the effect is not predictable in principie. The linear stagger has a slightly smaller wear than the sine due to its effect on the mechanical contribution.
Linear
a) Constant static forcé
\r-"\/-\y'-'\/'-\\r
I
ttjn
?ÍI
. ' • ' \
..-.-.-.. * ' * ' * • A - k \ A-.'»
/ " \
/*'*'\ /"*">.
¡
Collector Strip Width [m] Collector Strip Width [mi
-V_50 V_W> V_70 V_80 V_90 V_100 - - V _ 1 1 0 V_120 - - V _ 1 3 0 - - V _ 1 4 0 - - V _ 1 5 0
0.020
¡
0.000
</y\'-* V j^Ois*!-
High speeds (130 Km/h) |
b) Constant speed
Collector Strip Width [m] Collector Strip Width [m]
F 50 F 70 F 9 0 F 110 F 130 F 150 F 180 F 200
Figure 8. Pantograph wear depth (h)
4. CALCULATION OF THE OPTIMAL OPERATING CONDITIONS. USEFUL LIFE OF THE PANTOGRAPH
Lifetime of the pantograph has been estimated using máximum wear of the contact strip. Thus, máximum useful life corresponds to the case with the smallest valué in the máximum depth of wear. From this result have been determined the optimum conditions of operation of the pantograph-overhead conductor rail system, which are those that define the case that leads minimum valué of the máximum depth of wear. For example, for each speed of movement there an optimum static forcé that provides minimal wear, see Figure 2.a. Results obtained for the different analyzed scenarios have been compared (type of pantograph, distance between supports, staggertype, etc., see Figure 2.b.).
0,0100
0,0050
0,0000
V-150 V-140
. V-130 V-120
V-110 V-100
' V-90 V-80
70 speed [km/h] 60
F-90 F _ 1 1 0
Statkforce[N]
F- 1 3 0 F-150 ,
DistancebetweensupporttBm
-•-A-Sni-Senoidal
-•"B-Sm-Senoidal
A-Sm- Linear
^B-8m-Linear
Jírs' rr*= '
V-50 V-60 V-70 V-B0 V- 0 V-100 V-110V-120V-130 V
Speed [km/h]
140 -150
a)Maximum depth wear against speed and static forcé
Figure 9. Optimal operation conditions
b) Máximum depth wear against speed (Distance between supports 8m)
The best operating conditions from the point of view of wear are obtained for the linear stagger, the distance between supports of 10 m and the model of pantograph A.
Representing the pairs of speed and static forcé valúes that lead to the máximum useful life of the pantograph we have obtained maps of optimum operation conditions. These diagrams will be very useful when selecting the conditions of operation of the system pantograph-overhead conductor rail.
Model A-Sm/Mcdel B-8m
V-50 V-60 V-70
A-Sm-L 50
B-8m-L 50
V-90 V-100 V-110 V-120 V-130
160
140
120
" 100
a S. so
£ &0
40
20
^ A - l O m - S
U B-lOm-5
A A-lOm-L
• B-lOm-L
Mode l A - 1 0 / M o d e l B-10
^ J / / / J *-/
j~S ¿/ A
V-W
50
50
50
50
V-60
50
50
50
50
V-70
50
70
50
70
V-80
50
70
50
70
V-90
50
90
50
90
V-100
50
150
50
150
V-110
50
150
50
150
V-120
50
150
70
150
V-130
90
130
90
130
V-140
90
130
V-1EO
130
130
Figure 10. Optimal operation conditions
CONCLUSIONS
The following conclusions can be made according to the variations carried out for each parameter:
• Stagger: The linear stagger presents a lower wear than the sine, for all conditions of speed, static forcé, pantograph model or distance between supports.
• Distance between supports: From the point of view of current collecition the models with a distance between supports of 8 m are associated with a more stable dynamic behavior. Nevertheless, minor wear valúes are obtained for distance of 10 m.
• Speed: Higher valúes of speed produce a higher system instability and therefore a lower quality of current collection. Also, the increase in speed leads to an increased of pantograph wear.
• Static forcé: The static forcé, as well as the speed, both mainly determines the quality of current collection and the generated wear. It has been observed that depending on the speed there is a static forcé optimal from the point of view of current collection quality and pantograph wear.
References [1] C. Vera, B. Suárez, J. Paulin and P. Rodríguez. Simulation Model for the Studyof
Overhead Rail Current Collector Systems Dynamics, Focussed on the Design of a New Conductor Rail. Vehicle System Dynamics, 2006, Vol. 44, pags. 595-614.
[2] F. J. González, J. A. Chover, B. Suarez, y M. Vázquez, Dynamic Analysis using Finite Elements to Calcúlate the Critical Wear Section ofthe Contact Wire in Suburban Railway Overhead Conductor Rails, Journal of Rail and Rapad Transit, 2008, Vol. 222, pp. 145-157.
[3] C. Vera, J. Paulin, B. Suárez and P. Rodríguez, Improved Design of an Overhead Rail Current Conductor for Application in Underground Lines, Railway Engineering - 2005, London, United Kingdom, 29-30 June, 2005.
[4] B. Suárez, J. Paulin y C. Vera, "Optimización de la Captación de Corriente con Catenaria Rígida", Actas del I Congreso Innovación Ferroviaria, Calatayud, España, 5-6 Octubre, 2004.
[5] A. Collina, S. Melzi y A. Facchinetti. On the prediction ofwear of contact wire in OHE Unes: a proposed model. Vehicle system dynamics. - 2002. - Vol. 37. - pags. 579-592.
[6] J.F. Archard. Contact and rubbing of fíat surfaces. Journal of applied physics.. -1953. - Vol. 24. - pags. 981-988.