CN106599340B - A kind of optimization method of contact net and pantograph parameters based on sensitivity analysis - Google Patents
A kind of optimization method of contact net and pantograph parameters based on sensitivity analysis Download PDFInfo
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Abstract
The invention discloses the optimization methods of a kind of contact net based on sensitivity analysis and pantograph parameters, bow net contact pressure when being run according to bullet train, existing issue is analyzed, the level value design for carrying out parameter is designed by Central Composite, and obtain multifactor five horizontal parameters；Related coefficient between contact net and pantograph parameters and contact pressure is calculated using Spearman rank correlation coefficient method, determines its correlation；Using Sobol method, contact net and pantograph parameters are calculated to the sensitivity coefficient of contact pressure, determine the parameter to the influence degree of contact pressure, determine the optimization sequence of parameter when carrying out bow net parameter optimization, after each index meets relevant criterion requirement, terminate optimization, and exports all bow net parameter values.The method of the present invention optimization rationally, quickly can reasonably adjust contact net and pantograph parameters, to rationally control the contact pressure of contact net and pantograph parameters.
Description
Technical field
The present invention relates to high-speed rail pantograph-catenary current collection technical field, specifically a kind of contact net based on sensitivity analysis and by electricity
Bend the optimization method of parameter.
Background technique
When train is run at a relatively high speed, under the influence of wheel track and pneumatic excitation, pantograph vibration and contact net fluctuation
Seriously, it influences pantograph and continually and steadily takes stream.In the case where the pantograph speed of service, external excitation condition are certain, between bow net
Current carrying quality mainly influenced by contact net and pantograph parameters.That is, can be by adjusting contact net and pantograph
Parameter value, improve pantograph-catenary current collection quality.Then it is determined that the influence degree of the change direction of parameter and each parameter to contact pressure,
Key as optimization pantograph-catenary current collection quality.
But previous in technology, be mostly according to engineering experience, or using test of many times adjustment catenary's parameters and
The mode for changing pantograph model improves pantograph-catenary current collection quality, and project amount is bigger.This method is from contact net and pantograph
Parameter is unfolded two angles of contact pressure sensibility with contact pressure correlation and determining parameter, proposes quantitative optimization bow net
The method of parameter is realized and is well flowed between bow net.
Summary of the invention
The purpose of the present invention is provide a kind of reasonable optimization method for the design of high-speed railway bow net.And by contact net and
The judgement of pantograph parameters and contact pressure correlation and the sensibility of bow net parameter, and then pass through quickly reasonable adjustment contact
Net and pantograph parameters are realized.
When carrying out contact net structure optimization, generally with contact pressure and its statistic, that is, with contact pressure standard deviation
Difference, average value, maximum value and minimum value are by stream index, by adjusting contact net and pantograph parameters value by contact pressure control
System is in reasonable range.
To achieve the above object, the invention provides the following technical scheme:
A kind of optimization method of contact net and pantograph parameters based on sensitivity analysis, comprising the following steps:
Step 1: for design or initial bow net model, bow net contact pressure when being run according to bullet train is calculated
Contact pressure average value, standard deviation, maximum value and minimum value out analyze the problem；
Contact pressure average value:
Contact pressure standard deviation:
Contact pressure maximum value:
Fmax=Max (Fi) (3)
Contact pressure minimum value:
Fmin=Min (Fi) (4)
In formula (1)-(4), FiIndicate the contact pressure value (N) at each sampled point；N is sampling number；
Step 2: using current contact net-pantograph structure as initial model, being designed by Central Composite and carry out parameter
Level value design obtains multifactor five horizontal parameter combinations and each parameter level value set；After respectively indicating standardization
Contact net and pantograph design parameter Zi, i=1,2 ... n, n are bow net number of parameters；
Step 3: combined according to the parameter level that obtains above, using Spearman rank correlation coefficient method calculate contact net and
Related coefficient between pantograph parameters and contact pressure, and according to the sign determination parameter of related coefficient and the phase between contact pressure
Guan Xing,
ρ indicates rank correlation coefficient, and -1≤ρ≤1；N is the number of l-G simulation test；aj、bjRespectively indicate catenary's parameters and
The order of the set level value of contact pressure index, 1≤j≤n；
Step 4: using Sobol method, calculate contact net and pantograph parameters to the sensitivity coefficient of contact pressure, determining should
Parameter is to the influence degree of contact pressure, so that it is determined that the optimization sequence of parameter when carrying out bow net parameter optimization,
Each rank sensitivity coefficient is all satisfiedRelationship；
Wherein, partial variance Di=∫ fi 2(xi)dxI, Population varianceSi is single order sensitivity coefficient, indicates single contact net and pantograph parameters
To the influence degree of contact pressure；SijFor second order sensitivity coefficient, the pairwise interaction of contact net and pantograph parameters is indicated
To the influence degree of contact pressure；
Step 5: changing bow net parameter value in conjunction with step 3 and 4 for the problem in step 1；
Step 6: it is calculated in simulation software according to the contact net and pantograph parameters that are adjusted in step 5, and
Bow net contact pressure out；
Step 7: according to contact pressure value, count contact pressure standard deviation value, average value, maximum value, minimum value and from
Line rate, and compared with the regulation in respective standard, when calculated value is in standard prescribed limit, then stop optimizing, and defeated
The parameter value of contact net and pantograph out；Otherwise step 8 is carried out；
Step 8: continuing to change the parameter value of contact net or pantograph, if at this time still in the range of its maximum pull-off force
It is interior, then repeatedly step 6 and 7；Otherwise, then step 9 is carried out；
Step 9: first determining whether parameter has changed all parameter values, if it is not, continuing to adjust next
Parameter value then proceeds by step 8；Otherwise step 10 is carried out；
Step 10: under conditions of adjusting all parameters, if each index is still unsatisfactory for the requirement of standard, last
On the basis of parameter value obtains, other parameters are added again, re-start experimental design, and repeat step 2-9；
Step 11: repeating all of above step terminates optimization, and export after each index meets relevant criterion requirement
All bow net parameter values.
As a further solution of the present invention: in the step (3), as rank correlation coefficient ρ > 0, bow net parameter with connect
Touch pressure is positively correlated；As rank correlation coefficient ρ < 0, the variation of contact pressure and bow net parameter is negatively correlated.
Compared with prior art, the beneficial effects of the present invention are:
The present invention provides a kind of reasonable optimization method for the design of high-speed railway bow net, and is joined by contact net and pantograph
Several judgements with contact pressure correlation and the sensibility of bow net parameter, and then by quickly reasonable adjustment contact net and by electricity
Bend parameter to realize.When carrying out contact net structure optimization, with contact pressure and its statistic, by adjusting contact net and pantograph
Parameter value controls contact pressure in reasonable range.
Detailed description of the invention
Fig. 1 is the structural schematic diagram referring to contact net.
Fig. 2 is the structural schematic diagram referring to pantograph.(number of different parts wherein, is 1. 2. 3. 4. represented, k represents bullet
The coefficient of elasticity of spring)
Fig. 3 is contact net structure optimization flow chart.
Fig. 4 is center composite design schematic diagram.
Fig. 5 is instance parameter sensitivity coefficient.
Fig. 6 is the actual effect waveform diagram of example.
Fig. 7 a, the actual effect figure that 7b, 7c, 7d are example.
Specific embodiment
Following will be combined with the drawings in the embodiments of the present invention, and technical solution in the embodiment of the present invention carries out clear, complete
Site preparation description, it is clear that described embodiments are only a part of the embodiments of the present invention, instead of all the embodiments.It is based on
Embodiment in the present invention, it is obtained by those of ordinary skill in the art without making creative efforts every other
Embodiment shall fall within the protection scope of the present invention.
Embodiment
The optimization method of catenary's parameters based on sensitivity analysis, comprising the following steps:
Step 1: the bow net contact for initial design scheme or initial bow net model, when being run according to bullet train
Pressure calculates contact pressure standard deviation, average value, maximum value and ratio of contact loss, analyzes the problem；
Initial bow net model: the structural parameters in figure are respectively with reference to Beijing-Tianjin inter-city passenger rail contact net and Faville Lay CX
Series pantograph, as depicted in figs. 1 and 2；
Contact pressure average value, standard deviation value and maximum value analyze the variation of contact pressure as evaluation index, respectively refer to
Mark can obtain in contact pressure calculating according to figure 5, specific as follows:
Contact pressure average value:
Contact pressure standard deviation:
Contact pressure maximum value:
Fmax=Max (Fi) (3)
Contact pressure minimum value:
Fmin=Min (Fi) (4)
In formula (1)-(4), FiIndicate the contact pressure value (N) at each sampled point；N is sampling number；
3. in train travelling process, by pantograph and contact line sliding contact, bow net contact pressure be evaluation bow net by
The main indicator of current mass generally uses the contact pressures such as contact pressure average value, standard deviation and maximum value statistic as weighing apparatus
Measure the index of contact pressure variation；According to relevant standard provide, when contact pressure in a certain range when just can guarantee bow net
Between current carrying quality；
So problem is exactly the requirement that each index of contact pressure does not meet relevant criterion here；For example, standard deviation value
Too big, ratio of contact loss is excessively high；
Step 2: (provided) using current contact net-pantograph structure as initial model, by Central Composite design into
The level value of row parameter designs, and obtains multifactor five horizontal parameter combinations and each parameter level value set；Respectively indicate mark
Contact net and pantograph design parameter Z after standardizationi, i=1,2 ... n, n are bow net number of parameters；
Wherein, Central Composite designs:
Firstly the need of obtaining each catenary's parameters and contact pressure index level value set, using central complex design method,
The parameter level value combination of design and simulation test；To the influence of contact pressure when in order to discuss centenary design Parameters variation；Fig. 1
In centenary design parameter be initial value, be set to zero level, and with the variation of 0.1 times of initial value, obtain each parameter
Level value value table, as shown in table 1；
1 catenary's parameters value table of table
Centenary design parameter zero level value is standardized as (1,1,1,1), then successively normalizing parameter others water
Level values, as shown in table 2；
2 catenary's parameters level code table of table
Wherein, Zi(i=1,2,3,4) respectively indicates each design parameter of contact net after standardization；
According to Fig. 3 and Central Composite design cycle shown in Fig. 4 and principle, the combination for carrying out each parameter level value is set
Meter, and the parameter combination horizontal using four factor of Design-Expert software realization five, obtain 30 kinds of combinations；Namely
It needs to carry out 30 simulation calculations in MSC.Marc software, and obtains corresponding contact pressure average value, standard deviation and most
Big value；
Step 3: being combined according to the parameter level obtained above, contact is calculated using Spearman rank correlation coefficient method first
Related coefficient between line tension and contact pressure, and it is related between contact pressure according to the sign determination parameter of related coefficient
Property,
In formula, ρ indicates rank correlation coefficient, and -1≤ρ≤1；N is the number of l-G simulation test, n=30；aj, bj(1≤j≤
30) sequence of j-th of contact thread tension value and standard deviation value in contact line tension and standard deviation set is respectively indicated,
Referred to as order.With { TcjIndicate contact line tension level value set, with { SjIndicate standard deviation set, wherein Tcj、SjTable respectively
Show the element in two set.Ascending order arrangement is carried out to the element in two set respectively, obtains the set { a of two ordered series of numbers ordersj}、{bj,
The element of two column variables uses a respectivelyj, bjIt indicates；
| ρ | size indicate the degree of correlation of contact line tension and standard deviation, | ρ | closer to 1, illustrate to contact line tension
It is stronger with the degree of correlation of standard deviation；| ρ | closer to 0, illustrate that the degree of correlation contacted between line tension and standard deviation is weaker.
As ρ > 0, contact line tension and standard deviation are positively correlated, i.e., standard deviation increases with the increase of contact line tension；When ρ < 0
When, contact line tension and contact pressure standard deviation are negatively correlated, i.e., standard deviation is reduced with the increase of contact line tension；
It is the calculating process for contacting line tension and contact pressure standard deviation above.With same method, it can calculate and connect
Touch the related coefficient between line tension and contact pressure average value and maximum value.And then calculate load rope tensility, contact line line density
And the carrier cable line density related coefficient between contact pressure standard deviation, average value and maximum value respectively.
Step 4: using Sobol method, calculate catenary's parameters to the sensitivity coefficient of contact pressure, and according to susceptibility system
Several sizes determines the parameter to the influence degree of contact pressure, so that it is determined that carrying out the excellent of parameter when catenary's parameters optimization
Change sequence；
Functional relation between each design parameter of contact net based on Sobol method and contact pressure is indicated with formula (6)；
F (X)=f (x1, x2..., xn), i=1,2 ..., n (6)
In formula, xiIndicate each design parameter of contact net, n=4；F (X) indicates contact pressure average value, standard deviation or most
Big value.There is apparent linear relationship between each design parameter of contact net and each index of contact pressure；Under the influence of two two parameters, respectively
Degree of correlation between parameter and each index of contact pressure is different；So with first order recursive form indicate single catenary's parameters with
Linear relationship between contact pressure, with the relationship between the product representation two parameter reciprocation and contact pressure of two two parameters, by f
(X) it is predicted as the form of the interaction nonlinear model of the second order as shown in formula (6)；
F (x)=F0+a1x1+a2x2+a3x3+a4x4+b1x1x2+b2x1x3+b3x1x4+c1x2x3+c2x2x4+d1x3x4 (7)
Wherein, f (x) indicates average value, standard deviation or maximum value；x1Indicate load rope tensility, x2Indicate contact line
Power, x3Indicate carrier cable line density, x4Indicate contact line line density；F0Indicate the intercept of equation；a1、a2、a3…c2、d1Expression side
The regression coefficient of journey；The intercept and regression coefficient of regression equation, can be with the parameter level value of table 2, in Design-Expert software
In be calculated；
The calculation formula of Sobol sensitivity coefficient, as follows:
S1,2…n=D1,2…s/D (8)
Each rank sensitivity coefficient is all satisfiedRelationship, partial variance Di=∫ fi 2(xi)
dxi,Population varianceSi
It is single order sensitivity coefficient, indicates single catenary's parameters to the influence degree of contact pressure；Sensitivity coefficient is bigger, and indicating should
Parameter is bigger to the influence degree of contact pressure；SijFor second order sensitivity coefficient, the pairwise interaction of catenary's parameters is indicated
To the influence degree of contact pressure；
fi(xi) and fij(xi, xj) etc. be f (x1, x2..., xn) subitem, each subitem is all satisfied
Each subitem can calculate by the following method；
f0=∫ f (x1,x2,…xn)dx1dx2…dxn (10)
fi(xi)=∫ f (x1,x2,…xn)dx1…dxi-1dxi+1-f0 (11)
fij(xi,xj)=∫ f (x1,x2,…xn)dx1…dxi-1dxi+1…dxj-1dxj+1-f0-fi(xi)-fj(xj) (12)
Step 5: changing bow net parameter value in conjunction with step 3 and 4 for the problem in step 1；
Step 6: being calculated in simulation software MSC.Marc according to the contact net adjusted in step 5, and obtain bow
Net contact pressure；
Step 7: according to contact pressure value, contact pressure standard deviation value, average value, maximum value and ratio of contact loss are counted, and
It is compared with the regulation in respective standard, when calculated value is in standard prescribed limit, then stops optimizing, and export contact net
With the parameter value of pantograph；Otherwise step 8 is carried out；
Standard regulation:
Tb10621-2014
3 dynamic touch pressure standard of table
| It designs speed per hour (km/h) | 250 | 300 | 350 |
| Mean exposure power Fm(N) | ≤130 | ≤150 | ≤180 |
| Maximum unilateral force Fmax(N) | ≤250 | ≤250 | ≤350 |
| Minimal-contact power Fmin(N) | >0 | >0 | >0 |
| Ratio of contact loss | ≤ 1% | ≤ 1% | ≤ 1% |
EN50318 standard
The prescribed limit of table 4 bow net simulation result statistical data and EN50318 standard
Due to when and the stage still without speed be greater than 400km/h when relevant criterion, when high speed pantograph-catenary current collection quality meet
When low speed requires, it can stop optimization；
Namely standard TB10621-2014, under the service condition of 350km/h, contact pressure average value is not more than
180N, maximum value are not more than 350N, and ratio of contact loss is not more than 1%；It is provided in European standard EN50318, runs speed per hour 300km/h item
Contact pressure standard deviation is no more than 40N under part；
Step 8: continuing to change the parameter value of contact net or pantograph, if at this time still in the range of its maximum pull-off force
It is interior, then repeatedly step 6 and 7；Otherwise, then step 9 is carried out；
Step 9: first determining whether parameter has changed all parameter values, if it is not, continuing to adjust next
Parameter value then proceeds by step 8；Otherwise step 10 is carried out；
Step 10: under conditions of adjusting all parameters, if each index is still unsatisfactory for the requirement of standard, last
On the basis of parameter value obtains, other parameters are added again, re-start experimental design, and repeat step 2-9；
Step 11: repeating all of above step terminates optimization, and export after each index meets relevant criterion requirement
All bow net parameter values.
Test example
In the embodiment of the present invention, in conjunction with Fig. 3 and Fig. 4, test is optimized to contact net and pantograph parameters.
In order to reduce contact pressure standard deviation value, maximum value and ratio of contact loss when the speed of service is 500km/h, adopt first
The optimization direction of catenary's parameters is determined with the Spearman rank correlation coefficient method in step 3, as shown in table 5 and table 6；
5 example factor level table of table
The related coefficient of 6 example of table
Then, using the Sobol method in step 4, determine the optimization sequence for each parameter of standard deviation and maximum value,
Such as attached drawing 5.As can be observed from the foregoing, it for standard deviation, needs to increase contact line tension, reduce contact line line density
With load rope tensility, increase carrier cable line density；For maximum value, need to increase contact line tension, reduce load rope tensility and
Contact line line density increases carrier cable line density, and proposes the prioritization scheme such as subordinate list 7；
The policy scheme of 7 example of table
| Optimization Steps serial number | Change parameter | Parameter designing |
| 0 | Nothing | Tc=21kN, Tj=27kN, mc=1.08kg/m, mj=1.08kg/m. |
| 1 | Tj | Tc=21kN, Tj=34kN, mc=1.08kg/m, mj=1.08kg/m. |
| 2 | Tj、mj | Tc=21kN, Tj=34kN, mc=1.08kg/m, mj=0.758kg/m. |
| 3 | Tj、mj、Tc | Tc=14kN, Tj=34kN, mc=1.08kg/m, mj=0.758kg/m. |
As can be drawn from Table 7 such as the actual effect figure in Fig. 6 and 7, it can be seen that by the way that catenary's parameters are altered in steps
Afterwards, the standard deviation of contact pressure is reduced to 40N or so；The average value of contact pressure is within the scope of 70~110N；Contact pressure
Maximum value is reduced to 250N or less；Ratio of contact loss is reduced to 1% or less.Respectively refer to as can be seen that optimizing later contact pressure
Mark, in the prescribed limit of EN50318 standard and TB10621-2014 standard.
From example as can be seen that on the basis of Optimizing Flow of the present invention, it can be connect so that optimization current carrying quality is good
Net-fault structure.The explanation of above example is merely used to help understand method and its core concept of the invention；Meanwhile for ability
The those skilled in the art in domain, according to the thought of the present invention, there will be changes in the specific implementation manner and application range.
It is obvious to a person skilled in the art that invention is not limited to the details of the above exemplary embodiments, Er Qie
In the case where without departing substantially from spirit or essential attributes of the invention, the present invention can be realized in other specific forms.Therefore, no matter
From the point of view of which point, the present embodiments are to be considered as illustrative and not restrictive, and the scope of the present invention is by appended power
Benefit requires rather than above description limits, it is intended that all by what is fallen within the meaning and scope of the equivalent elements of the claims
Variation is included within the present invention.Any reference signs in the claims should not be construed as limiting the involved claims.
Claims (2)
1. a kind of optimization method of contact net and pantograph parameters based on sensitivity analysis, which is characterized in that including following step
It is rapid:
Step 1: for design or initial bow net model, bow net contact pressure when being run according to bullet train is calculated and is connect
Touch pressure average value, standard deviation, maximum value and minimum value analyze the problem；
Contact pressure average value:
Contact pressure standard deviation:
Contact pressure maximum value:
Fmax=Max (Fi) (3)
Contact pressure minimum value:
Fmin=Min (Fi) (4)
In formula (1)-(4), FiIndicate the contact pressure value (N) at each sampled point；N is sampling number；
Step 2: using current contact net-pantograph structure as initial model, the level for carrying out parameter is designed by Central Composite
Value design obtains multifactor five horizontal parameter combinations and each parameter level value set；Contact after respectively indicating standardization
Net and pantograph design parameter Zi, i=1,2 ... n, n are bow net number of parameters；
Step 3: being combined according to the parameter level obtained above, contact net is calculated using Spearman rank correlation coefficient method and by electricity
Bend the related coefficient between parameter and contact pressure, and related between contact pressure according to the sign determination parameter of related coefficient
Property,
ρ indicates rank correlation coefficient, and -1≤ρ≤1；N is the number of l-G simulation test；aj、bjRespectively indicate bow net parameter and contact pressure
The order of the set level value of power index, 1≤j≤n；
Step 4: using Sobol method, calculate contact net and pantograph parameters to the sensitivity coefficient of contact pressure, determine the parameter
To the influence degree of contact pressure, so that it is determined that the optimization sequence of parameter when carrying out bow net parameter optimization,
Each rank sensitivity coefficient is all satisfiedRelationship；
Wherein, partial variancePopulation varianceSi is single order sensitivity coefficient, indicates single contact net and pantograph parameters
To the influence degree of contact pressure；SijFor second order sensitivity coefficient, the pairwise interaction of contact net and pantograph parameters is indicated
To the influence degree of contact pressure；
Step 5: changing bow net parameter value in conjunction with step 3 and 4 for the problem in step 1；
Step 6: being calculated in simulation software according to the contact net and pantograph parameters that are adjusted in step 5, and obtain bow
Net contact pressure；
Step 7: according to contact pressure value, contact pressure standard deviation value, average value, maximum value, minimum value and ratio of contact loss are counted,
And compared with the regulation in respective standard, when calculated value is in standard prescribed limit, then stop optimizing, and export contact
The parameter value of net and pantograph；Otherwise step 8 is carried out；
Step 8: continue to change the parameter value of contact net or pantograph, if at this time still in the range of its maximum pull-off force,
Then repeat step 6 and 7；Otherwise, then step 9 is carried out；
Step 9: first determining whether parameter has changed all parameter values, if it is not, continuing to adjust next parameter
Value, then proceeds by step 8；Otherwise step 10 is carried out；
Step 10: under conditions of adjusting all parameters, if each index is still unsatisfactory for the requirement of standard, in final parameter
On the basis of being worth, other parameters are added again, re-start experimental design, and repeat step 2-9；
Step 11: repeating all of above step, after each index meets relevant criterion requirement, terminate optimization, and export all
Bow net parameter value.
2. the optimization method of the contact net and pantograph parameters according to claim 1 based on sensitivity analysis, feature
It is, in the step (3), as rank correlation coefficient ρ > 0, bow net parameter and contact pressure are positively correlated；As rank correlation coefficient ρ
When < 0, the variation of contact pressure and bow net parameter is negatively correlated.
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| CN108229045B (en) * | 2018-01-16 | 2021-05-04 | 西南交通大学 | High-speed pantograph key parameter identification method based on sensitivity analysis |
| CN110118540B (en) * | 2018-02-05 | 2021-03-12 | 宜达工程设计（天津）有限责任公司 | Method for detecting contact line abrasion |
| CN109472461B (en) * | 2018-10-18 | 2021-10-01 | 中国铁道科学研究院集团有限公司基础设施检测研究所 | Contact net section quality determination method and device |
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