CN112861310B - Method and system for measuring tension of elastic sling of contact net - Google Patents

Method and system for measuring tension of elastic sling of contact net Download PDF

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CN112861310B
CN112861310B CN202011634264.4A CN202011634264A CN112861310B CN 112861310 B CN112861310 B CN 112861310B CN 202011634264 A CN202011634264 A CN 202011634264A CN 112861310 B CN112861310 B CN 112861310B
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sling
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陈俊卿
关金发
吴积钦
刘继冬
张家玮
董昭德
韩峰
方岩
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Southwest Jiaotong University
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Abstract

The invention discloses a method and a system for measuring the tension of an elastic sling of a contact net. The method comprises the following steps: acquiring the horizontal distance between the first characteristic point and a positioning point of the support, the height of a contact line of the second characteristic point and the height of a wire clamp of the third characteristic point; respectively correcting the height of the contact line of the second characteristic point and the height of the wire clamp of the third characteristic point by adopting a height correction algorithm according to the line gradient; calculating the pulling force of the dropper by adopting an unequal-height suspension force analysis formula based on the corrected height of the contact line; and establishing a moment balance equation of the elastic sling by adopting a moment balance analysis method and solving the equation to obtain the tension of the elastic sling based on the pulling force of the sling, the horizontal distance between the first characteristic point and the positioning point of the strut, the height of the corrected contact line and the height of the corrected wire clamp. The invention can reduce the working strength of measurement and improve the safety and flexibility of measurement.

Description

Method and system for measuring tension of elastic sling of contact net
Technical Field
The invention relates to the field of contact net parameter measurement, in particular to a method and a system for measuring the tension of an elastic sling of a contact net.
Background
The elastic sling of the contact net is an important component of an elastic chain type suspension contact net, is arranged on a carrier cable near a strut positioning point, and plays a role in improving the elastic non-uniform coefficient of the contact net and improving the contact dynamic performance of a pantograph-catenary. The contact net elastic sling is widely applied to high-speed railways and ordinary-speed railways.
Elastic sling tension is the important parameter that elastic chain type hung contact net system, and elastic sling tension's size has directly influenced dynamic behavior and the security of bow net contact, and the measurement of present elastic sling tension relies on contact tension test instrument, promptly: sensors or measuring devices are connected in series or in parallel to the elastic sling to accomplish the tension measurement. The contact type tension measuring instrument needs a contact network to be powered off, and is matched with a contact network tower wagon or an operation vehicle to finish on-line operation.
The flexibility of the instrument is poor, the preparation work is complicated, and the measurement work can not be completed under the condition that the contact network does not have power failure or auxiliary on-line equipment.
Disclosure of Invention
Therefore, a method and a system for measuring the tension of the elastic sling of the contact net are needed, the on-line operation and the power failure operation are not needed, the preparation flow of the measurement work is greatly simplified, the working strength of the measurement is reduced, and the safety and the flexibility of the measurement are improved.
In order to achieve the purpose, the invention provides the following scheme:
a method for measuring the tension of an elastic sling of a contact net comprises the following steps:
acquiring the horizontal distance between the first characteristic point and a pillar positioning point; the first characteristic point comprises a first hanging string on the right side of the strut, a second hanging string on the right side of the strut, a first hanging string on the left side of the strut, a second hanging string on the left side of the strut, an elastic sling wire clamp on the right side of the strut and an elastic sling wire clamp on the left side of the strut;
acquiring the height of a contact line of the second characteristic point; the second characteristic point comprises a strut positioning point, a first hanger on the right side of the strut, a second hanger on the right side of the strut, a first hanger on the left side of the strut and a second hanger on the left side of the strut;
acquiring the wire clamp height of the third characteristic point; the third characteristic point comprises a first hanger catenary wire clamp on the right side of the strut, a first hanger catenary wire clamp on the left side of the strut, an elastic sling wire clamp on the right side of the strut and an elastic sling wire clamp on the left side of the strut;
according to the line gradient, respectively correcting the height of the contact line of the second characteristic point and the height of the wire clamp of the third characteristic point by adopting a height correction algorithm to obtain the corrected height of the contact line and the corrected height of the wire clamp;
calculating the pulling force of the dropper by adopting an unequal-height suspension force analysis formula based on the corrected height of the contact line; the dropper pulling force comprises the pulling force of the first dropper on the right side of the strut on the elastic sling and the pulling force of the first dropper on the left side of the strut on the elastic sling;
and establishing a moment balance equation of the elastic sling by adopting a moment balance analysis method and solving the equation to obtain the tension of the elastic sling based on the pulling force of the sling, the horizontal distance between the first characteristic point and a positioning point of a strut, the height of the corrected contact line and the height of the corrected wire clamp.
Optionally, according to the line slope, the height of the contact line of the second feature point is corrected by using a height correction algorithm, so as to obtain a corrected height of the contact line, which specifically includes:
when the positioning point of the support is positioned on a horizontal road surface or a ramp, the height of the corrected contact line is
Hi＝hi+tan(α)·Li
Wherein HiCorrected contact line height, h, for the second characteristic point iiIs the height of the contact line of the second characteristic point i, alpha is the gradient, LiThe horizontal distance of the second characteristic point i from the second dropper on the left side of the strut;
when the positioning point of the support is at a slope change point and the slope after slope change is reduced, the height of the corrected contact line is
Figure BDA0002875825170000021
Wherein x isiThe horizontal distance between the second characteristic point i and the starting point of the vertical curve is taken as the horizontal distance; x is the number of0The horizontal distance between the second dropper on the left side of the strut and the starting point of the vertical curve; r is the radius of a vertical curve;
when the positioning point of the support is positioned at the slope changing point and the slope after the slope changing is increased, the height of the corrected contact line is
Figure BDA0002875825170000022
Optionally, based on the corrected height of the contact line, an unequal-height suspension stress analysis formula is used to calculate the pulling force of the first dropper on the right side of the strut on the elastic sling, specifically:
FR＝fL+fR+m
wherein, FRIs the pulling force of the first dropper on the right side of the strut on the elastic sling, m is the self weight of the first dropper on the right side of the strut, fLThe drag force of the left contact line of the first dropper on the right side of the strut, fRIs the drag of the right contact line of the first dropper on the right side of the strut,
Figure BDA0002875825170000031
g is the dead weight of the contact line in unit length, L is the horizontal distance between the first suspension string on the right side of the strut and the second suspension string on the right side of the strut, delta h is the height of the contact line corrected by the first suspension string on the right side of the strut minus the height of the contact line corrected by the strut positioning point, and T is the tension of the contact line.
Optionally, the establishing a moment balance equation of the elastic sling and solving the moment balance equation based on the dropper pulling force, the horizontal distance between the first characteristic point and the positioning point of the strut, the corrected contact line height and the corrected wire clamp height by using a moment balance analysis method to obtain the tension of the elastic sling specifically includes:
determining the coordinates of the upper ends of the first hanging strings on the left side of the strut, the coordinates of the upper ends of the first hanging strings on the right side of the strut, the coordinates of the elastic sling wire clamps on the left side of the strut and the coordinates of the elastic sling wire clamps on the right side of the strut according to the horizontal distance between the first characteristic point and a strut positioning point, the height of the corrected contact line and the height of the corrected wire clamps;
establishing an elastic sling left-side moment balance equation and an elastic sling right-side moment balance equation by a moment balance analysis method according to the sling pulling force, the first sling upper end coordinate on the left side of the support, the first sling upper end coordinate on the right side of the support, the elastic sling wire clamp coordinate on the left side of the support and the elastic sling wire clamp coordinate on the right side of the support, and solving to obtain elastic sling left-side tension and elastic sling right-side tension;
determining the tension of the elastic sling as the average of the left side tension of the elastic sling and the right side tension of the elastic sling.
Optionally, the hanger pulling force, the coordinates of the upper end of the first hanger on the left side of the support, the coordinates of the upper end of the first hanger on the right side of the support, the coordinates of the clamp of the elastic sling wire on the left side of the support and the coordinates of the clamp of the elastic sling wire on the right side of the support are used for establishing a moment balance equation on the left side of the elastic sling by a moment balance analysis method and solving the equation to obtain the tension on the left side of the elastic sling, specifically:
Figure BDA0002875825170000041
wherein, F is the left tension of the elastic sling, M is the middle variable, XR1Is the abscissa, Y, of the upper end of the first dropper on the right side of the columnR1Is the ordinate, X, of the upper end of the first dropper on the right side of the columnL2The abscissa, Y, of the elastic suspension cable clamp on the left side of the postL2The ordinate, X, of the elastic suspension cable clamp on the left side of the pillarR2Is the abscissa, Y, of the elastic sling clamp on the right side of the postR2Of elastic suspension cable clamps on the right side of the postOn the ordinate, the position of the axis of rotation,
Figure BDA0002875825170000042
FLthe drag of the elastic suspension cable by the first hanger on the left side of the column, FRThe drag force, X, of the elastic suspension cable by the first suspension string on the right side of the postL1Is the abscissa, Y, of the upper end of the first dropper on the left side of the columnL1Is the ordinate of the upper end of the first dropper on the left side of the column, gcIs the dead weight of the carrier cable.
The invention also provides a system for measuring the tension of the elastic sling of the contact net, which comprises:
the distance parameter acquisition module is used for acquiring the horizontal distance between the first characteristic point and the positioning point of the strut; the first characteristic point comprises a first hanging string on the right side of the strut, a second hanging string on the right side of the strut, a first hanging string on the left side of the strut, a second hanging string on the left side of the strut, an elastic sling wire clamp on the right side of the strut and an elastic sling wire clamp on the left side of the strut;
the first height parameter acquisition module is used for acquiring the height of a contact line of the second characteristic point; the second characteristic point comprises a strut positioning point, a first hanger on the right side of the strut, a second hanger on the right side of the strut, a first hanger on the left side of the strut and a second hanger on the left side of the strut;
the second height parameter acquisition module is used for acquiring the wire clamp height of the third characteristic point; the third characteristic point comprises a first hanger catenary wire clamp on the right side of the strut, a first hanger catenary wire clamp on the left side of the strut, an elastic sling wire clamp on the right side of the strut and an elastic sling wire clamp on the left side of the strut;
the correction module is used for correcting the height of the contact line of the second characteristic point and the height of the wire clamp of the third characteristic point respectively by adopting a height correction algorithm according to the line gradient to obtain the corrected height of the contact line and the corrected height of the wire clamp;
the pulling force calculation module is used for calculating the pulling force of the dropper by adopting an unequal-height suspension force analysis formula based on the corrected height of the contact line; the dropper pulling force comprises the pulling force of the first dropper on the right side of the strut on the elastic sling and the pulling force of the first dropper on the left side of the strut on the elastic sling;
and the tension calculation module is used for establishing an elastic sling moment balance equation and solving the equation by adopting a moment balance analysis method based on the dropper pulling force, the horizontal distance between the first characteristic point and a strut positioning point, the corrected contact line height and the corrected wire clamp height to obtain the tension of the elastic sling.
Optionally, the modification module specifically includes:
the first correction unit is used for correcting the height of the contact line after correction when the positioning point of the support is positioned on a horizontal road surface or a slope
Hi＝hi+tan(α)·Li
Wherein HiCorrected contact line height, h, for the second characteristic point iiIs the height of the contact line of the second characteristic point i, alpha is the gradient, LiThe horizontal distance of the second characteristic point i from the second dropper on the left side of the strut;
a second modification unit, configured to, when the positioning point of the pillar is located at a slope change point and the slope after the slope change is reduced, modify the height of the contact line to be
Figure BDA0002875825170000051
Wherein x isiThe horizontal distance between the second characteristic point i and the starting point of the vertical curve is taken as the horizontal distance; x is the number of0The horizontal distance between the second dropper on the left side of the strut and the starting point of the vertical curve; r is the radius of a vertical curve;
a third modification unit, configured to, when the positioning point of the pillar is located at a slope change point and the slope after the slope change is increased, modify the height of the contact line to be
Figure BDA0002875825170000052
Optionally, the calculation formula of the pulling force of the elastic sling by the first sling on the right side of the strut in the pulling force calculation module is as follows:
FR＝fL+fR+m；
wherein, FRIs the pulling force of the first dropper on the right side of the strut on the elastic sling, m is the self weight of the first dropper on the right side of the strut, fLThe drag force of the left contact line of the first dropper on the right side of the strut, fRIs the drag of the right contact line of the first dropper on the right side of the strut,
Figure BDA0002875825170000061
g is the dead weight of the contact line in unit length, L is the horizontal distance between the first suspension string on the right side of the strut and the second suspension string on the right side of the strut, delta h is the height of the contact line corrected by the first suspension string on the right side of the strut minus the height of the contact line corrected by the strut positioning point, and T is the tension of the contact line.
Optionally, the tension calculating module specifically includes:
the coordinate calculation unit is used for determining the coordinates of the upper ends of the first hanging strings on the left side of the support, the coordinates of the upper ends of the first hanging strings on the right side of the support, the coordinates of the elastic sling wire clamps on the left side of the support and the coordinates of the elastic sling wire clamps on the right side of the support according to the horizontal distance between the first characteristic point and the positioning point of the support, the height of the corrected contact line and the height of the corrected wire clamps;
the balance equation establishing and solving unit is used for establishing and solving an elastic sling left-side moment balance equation and an elastic sling right-side moment balance equation by a moment balance analysis method according to the sling pulling force, the first sling upper end coordinate on the left side of the support, the first sling upper end coordinate on the right side of the support, the elastic sling wire clamp coordinate on the left side of the support and the elastic sling wire clamp coordinate on the right side of the support to obtain elastic sling left-side tension and elastic sling right-side tension;
and the elastic sling tension calculating unit is used for determining the average value of the left side tension of the elastic sling and the right side tension of the elastic sling as the tension of the elastic sling.
Optionally, the calculation formula of the left tension of the elastic sling in the balance equation establishing and solving unit is as follows:
Figure BDA0002875825170000062
wherein, F is the left tension of the elastic sling, M is the middle variable, XR1Is the abscissa, Y, of the upper end of the first dropper on the right side of the columnR1Is the ordinate, X, of the upper end of the first dropper on the right side of the columnL2The abscissa, Y, of the elastic suspension cable clamp on the left side of the postL2The ordinate, X, of the elastic suspension cable clamp on the left side of the pillarR2Is the abscissa, Y, of the elastic sling clamp on the right side of the postR2Is the ordinate of the elastic sling wire clamp at the right side of the post,
Figure BDA0002875825170000071
FLthe drag of the elastic suspension cable by the first hanger on the left side of the column, FRThe drag force, X, of the elastic suspension cable by the first suspension string on the right side of the postL1Is the abscissa, Y, of the upper end of the first dropper on the left side of the columnL1Is the ordinate of the upper end of the first dropper on the left side of the column, gcIs the dead weight of the carrier cable.
Compared with the prior art, the invention has the beneficial effects that:
the invention provides a method and a system for measuring the tension of an elastic sling of a contact network.
Drawings
In order to more clearly illustrate the embodiments of the present invention or the technical solutions in the prior art, the drawings needed to be used in the embodiments will be briefly described below, and it is obvious that the drawings in the following description are only some embodiments of the present invention, and it is obvious for those skilled in the art to obtain other drawings without inventive exercise.
FIG. 1 is a flow chart of a method for measuring the tension of an elastic sling according to an embodiment of the present invention;
fig. 2 is a schematic structural diagram of a contact network provided in an embodiment of the present invention;
FIG. 3 is a diagram of a supporting software interface provided by an embodiment of the present invention;
FIG. 4 is a diagram of a verification of an accuracy test provided by an embodiment of the present invention;
fig. 5 is a schematic structural diagram of an elastic sling tension measuring system according to an embodiment of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
The invention aims to provide a non-contact measurement method and a non-contact measurement system for the tension of an elastic sling of a contact network, which solve the problems that the existing contact measurement method (or device) needs to be operated on line and in power failure, greatly reduce the workload of measurement and improve the safety and the flexibility of measurement.
In order to make the aforementioned objects, features and advantages of the present invention comprehensible, embodiments accompanied with figures are described in further detail below.
Fig. 1 is a flowchart of a method for measuring tension of an elastic sling according to an embodiment of the present invention.
Referring to fig. 1, the method for measuring the tension of an elastic sling according to the present embodiment includes:
step 101: acquiring the horizontal distance between the first characteristic point and a pillar positioning point; the first characteristic point comprises a first hanging string on the right side of the strut, a second hanging string on the right side of the strut, a first hanging string on the left side of the strut, a second hanging string on the left side of the strut, an elastic sling wire clamp on the right side of the strut and an elastic sling wire clamp on the left side of the strut.
The position relation of the first characteristic point is shown in fig. 2, and referring to fig. 2, 12, 0 and 15 are sequentially connected to form a catenary, 12, 13, 14 and 15 are sequentially connected to form an elastic sling, 7, 8, 9, 10 and 11 are sequentially connected to form a contact line, 8 and 13 are connected to form a first hanger on the left side of the strut, the vertical line of 7 is a second hanger on the left side of the strut, 10 and 14 are connected to form a first hanger on the right side of the strut, the vertical line of 11 is a second hanger on the right side of the strut, and 9 is a strut positioning point. The horizontal distance between the first hanger on the left side of the strut and the strut positioning point is 1, the horizontal distance between the first hanger on the right side of the strut and the strut positioning point is 2, the horizontal distance between the second hanger on the left side of the strut and the strut positioning point is 3, the horizontal distance between the second hanger on the right side of the strut and the strut positioning point is 4, the horizontal distance between the elastic sling wire clamp 12 on the left side of the strut and the strut positioning point 9 is 5, and the horizontal distance between the elastic sling wire clamp 15 on the right side of the strut and the strut positioning point 9 is 6.
Step 102: acquiring the height of a contact line of the second characteristic point; the second characteristic point comprises a strut positioning point, a first hanger on the right side of the strut, a second hanger on the right side of the strut, a first hanger on the left side of the strut and a second hanger on the left side of the strut.
The height of the contact line of the positioning point of the strut is the height from the positioning point 9 of the strut to the ground, the height of the contact line of the first dropper on the right side of the strut is the height from the point 10, connected with the first dropper on the right side of the strut, on the contact line to the ground, the height of the contact line of the second dropper on the right side of the strut is the height from the point 11, connected with the second dropper on the right side of the strut, on the contact line to the ground, and the rest is the same.
Step 103: acquiring the wire clamp height of the third characteristic point; the third characteristic point comprises a first hanger catenary wire clamp on the right side of the strut, a first hanger catenary wire clamp on the left side of the strut, an elastic sling wire clamp on the right side of the strut and an elastic sling wire clamp on the left side of the strut.
The wire clamp height of the first hanger catenary wire clamp on the right side of the strut is the height from the point 14, connected with the elastic sling, of the first hanger on the right side of the strut to the ground, the wire clamp height of the first hanger catenary wire clamp on the left side of the strut is the height from the point 13, connected with the elastic sling, of the first hanger on the left side of the strut to the ground, and the like. The horizontal distance between the first characteristic point and the positioning point of the support, the height of the contact line of the second characteristic point and the height of the wire clamp of the third characteristic point are measured directly by a contact net geometric parameter measuring instrument.
Step 104: and respectively correcting the height of the contact line of the second characteristic point and the height of the wire clamp of the third characteristic point by adopting a height correction algorithm according to the line gradient to obtain the corrected height of the contact line and the corrected height of the wire clamp.
According to the line gradient, correcting the height of the contact line of the second characteristic point by adopting a height correction algorithm to obtain the corrected height of the contact line, which specifically comprises the following steps:
when the positioning point of the support is positioned on a horizontal road surface or a ramp (near a non-slope point), the height of the contact line after correction is
Hi＝hi+tan(α)·Li
Wherein HiCorrected contact line height, h, for the second characteristic point iiIs the height of the contact line of the second characteristic point i, alpha is the gradient, LiThe horizontal distance of the second characteristic point i from the second dropper on the left side of the strut;
when the positioning point of the support is positioned at a slope change point (near a vertical curve) and the slope after slope change is reduced, the height of the corrected contact line is
Figure BDA0002875825170000091
Wherein x isiThe horizontal distance between the second characteristic point i and the starting point of the vertical curve is taken as the horizontal distance; x is the number of0The horizontal distance between the second dropper on the left side of the strut and the starting point of the vertical curve;r is the radius of a vertical curve;
when the positioning point of the support is positioned at a slope change point (near a vertical curve) and the slope after slope change is increased, the height of the corrected contact line is
Figure BDA0002875825170000092
The calculation process of the corrected wire clamp height is the same as the correction process of the corrected contact line height, and is not described herein again.
Step 105: calculating the pulling force of the dropper by adopting an unequal-height suspension force analysis formula based on the corrected height of the contact line; the dropper pulling force includes the pulling force of the first dropper on the right side of the strut on the elastic sling and the pulling force of the first dropper on the left side of the strut on the elastic sling.
The method comprises the following steps of calculating the pulling force of a first dropper on the right side of a strut on an elastic sling based on the corrected height of a contact line by adopting an unequal-height suspension stress analysis formula, and specifically comprises the following steps:
FR＝fL+fR+m
wherein, FRIs the pulling force of the first dropper on the right side of the strut on the elastic sling, m is the self weight of the first dropper on the right side of the strut, fLThe drag force of the left contact line of the first dropper on the right side of the strut, fRIs the drag of the right contact line of the first dropper on the right side of the strut,
Figure BDA0002875825170000101
g is the dead weight of the contact line in unit length, L is the horizontal distance between the first suspension string on the right side of the strut and the second suspension string on the right side of the strut, delta h is the height of the contact line corrected by the first suspension string on the right side of the strut minus the height of the contact line corrected by the strut positioning point, and T is the tension of the contact line. f. ofRIs calculated by the formula (f)LIs the same as the formula, calculate fRWhen Δ h is the contact line height after correction of the first hanger on the right side of the strut minus the strut rightThe corrected contact line height of the second hanger on the side.
The calculation process of the pulling force of the first hanger on the left side of the strut on the elastic sling is the same as the calculation process of the pulling force of the first hanger on the right side of the strut on the elastic sling, except that in the calculation formula of the pulling force of the left contact line of the first hanger on the left side of the strut, delta h is the height of the contact line corrected by the first hanger on the left side of the strut minus the height of the contact line corrected by the second hanger on the left side of the strut; in the calculation formula of the drag force of the right contact line of the first dropper on the left side of the strut, Δ h is the height of the contact line corrected by the first dropper on the left side of the strut minus the height of the contact line corrected by the strut positioning point, and details are not repeated.
Step 106: and establishing a moment balance equation of the elastic sling by adopting a moment balance analysis method and solving the equation to obtain the tension of the elastic sling based on the pulling force of the sling, the horizontal distance between the first characteristic point and a positioning point of a strut, the height of the corrected contact line and the height of the corrected wire clamp.
The step 106 specifically includes:
1) and determining the coordinates of the upper ends of the first hanging strings on the left side of the support, the coordinates of the upper ends of the first hanging strings on the right side of the support, the coordinates of the elastic sling wire clamps on the left side of the support and the coordinates of the elastic sling wire clamps on the right side of the support according to the horizontal distance between the first characteristic point and the positioning point of the support, the height of the corrected contact line and the height of the corrected wire clamps.
2) And establishing an elastic sling left-side moment balance equation and an elastic sling right-side moment balance equation by using a moment balance analysis method and solving the equations to obtain the elastic sling left-side tension and the elastic sling right-side tension according to the sling pulling force, the first sling upper end coordinate on the left side of the support, the first sling upper end coordinate on the right side of the support, the elastic sling wire clamp coordinate on the left side of the support and the elastic sling wire clamp coordinate on the right side of the support.
The left side tension of the elastic sling is as follows:
Figure BDA0002875825170000111
wherein, F is the left tension of the elastic sling, M is the middle variable, XR1Is the abscissa, Y, of the upper end of the first dropper on the right side of the columnR1Is the ordinate, X, of the upper end of the first dropper on the right side of the columnL2The abscissa, Y, of the elastic suspension cable clamp on the left side of the postL2The ordinate, X, of the elastic suspension cable clamp on the left side of the pillarR2Is the abscissa, Y, of the elastic sling clamp on the right side of the postR2Is the ordinate of the elastic sling wire clamp at the right side of the post,
Figure BDA0002875825170000112
FLthe drag of the elastic suspension cable by the first hanger on the left side of the column, FRThe drag force, X, of the elastic suspension cable by the first suspension string on the right side of the postL1Is the abscissa, Y, of the upper end of the first dropper on the left side of the columnL1Is the ordinate of the upper end of the first dropper on the left side of the column, gcIs the dead weight of the carrier cable.
The calculation process of the right tension of the elastic sling and the calculation process of the left tension of the elastic sling are the same, only the left parameter in the calculation process of the left tension of the elastic sling needs to be replaced by the right parameter, and meanwhile, the right parameter is replaced by the left parameter, and the calculation process is not repeated in detail.
3) Determining the tension of the elastic sling as the average of the left side tension of the elastic sling and the right side tension of the elastic sling.
Fig. 3 is a supporting software interface diagram provided in the embodiment of the present invention, and the software can arrange and calculate the measured data to obtain a calculated value of the contact net elastic sling tension. Fig. 4 is a graph showing the tension of an elastic sling in an anchor section of a catenary, where a circle represents the true elastic sling tension, a square represents the tension calculated using field actual measurement parameters, and a diamond represents the tension calculated using simulation parameters. As can be seen from fig. 4, the calculated tension of the method provided in this embodiment is close to the actual tension, which proves that the method is accurate and effective and has operability.
The method for measuring the tension of the elastic sling provided by the embodiment is a non-contact measuring method, and the method is characterized in that a geometric parameter measuring instrument of a contact network is used for measuring the spatial position of a characteristic point, and then a correction algorithm and a moment balance principle are adopted to solve the tension of the elastic sling. The method can be applied to contact network construction acceptance and existing line reconstruction projects, on-line operation and power failure operation are not needed, the preparation flow of measurement work is greatly simplified, the working strength of measurement is reduced, and the safety and flexibility of measurement are improved. Through tests, the elastic sling tension calculated by the method is compared with a finite element calculation method to achieve the average inosculation degree of 97%, and compared with the existing contact type tension measuring instrument, the elastic sling tension calculated by the method achieves the average inosculation degree of 95%.
The invention also provides a system for measuring the tension of the elastic sling of the contact net, and fig. 5 is a schematic structural diagram of the system for measuring the tension of the elastic sling provided by the embodiment of the invention.
Referring to fig. 5, the elastic sling tension measuring system of the present embodiment includes:
a distance parameter obtaining module 201, configured to obtain a horizontal distance between the first feature point and the pillar locating point; the first characteristic point comprises a first hanging string on the right side of the strut, a second hanging string on the right side of the strut, a first hanging string on the left side of the strut, a second hanging string on the left side of the strut, an elastic sling wire clamp on the right side of the strut and an elastic sling wire clamp on the left side of the strut.
A first height parameter obtaining module 202, configured to obtain a contact line height of the second feature point; the second characteristic point comprises a strut positioning point, a first hanger on the right side of the strut, a second hanger on the right side of the strut, a first hanger on the left side of the strut and a second hanger on the left side of the strut.
A second height parameter obtaining module 203, configured to obtain a wire clamp height of the third feature point; the third characteristic point comprises a first hanger catenary wire clamp on the right side of the strut, a first hanger catenary wire clamp on the left side of the strut, an elastic sling wire clamp on the right side of the strut and an elastic sling wire clamp on the left side of the strut.
And the correcting module 204 is configured to correct the height of the contact line of the second characteristic point and the height of the wire clamp of the third characteristic point respectively by using a height correction algorithm according to the line slope, so as to obtain a corrected height of the contact line and a corrected height of the wire clamp.
The pulling force calculation module 205 is configured to calculate a dropper pulling force based on the corrected height of the contact line by using an unequal-height suspension force analysis formula; the dropper pulling force includes the pulling force of the first dropper on the right side of the strut on the elastic sling and the pulling force of the first dropper on the left side of the strut on the elastic sling.
And the tension calculation module 206 is configured to establish a moment balance equation of the elastic sling by using a moment balance analysis method and solve the equation to obtain the tension of the elastic sling based on the pulling force of the dropper, the horizontal distance between the first characteristic point and the positioning point of the strut, the height of the corrected contact line, and the height of the corrected wire clamp.
As an optional implementation manner, the modification module 204 specifically includes:
the first correction unit is used for correcting the height of the contact line after correction when the positioning point of the support is positioned on a horizontal road surface or a slope
Hi＝hi+tan(α)·Li
Wherein HiCorrected contact line height, h, for the second characteristic point iiIs the height of the contact line of the second characteristic point i, alpha is the gradient, LiIs the horizontal distance of the second characteristic point i from the second dropper on the left side of the column.
A second modification unit, configured to, when the positioning point of the pillar is located at a slope change point and the slope after the slope change is reduced, modify the height of the contact line to be
Figure BDA0002875825170000131
Wherein x isiThe horizontal distance between the second characteristic point i and the starting point of the vertical curve is taken as the horizontal distance; x is the number of0The horizontal distance between the second dropper on the left side of the strut and the starting point of the vertical curve; r is the radius of the vertical curve.
A third modification unit, configured to, when the positioning point of the pillar is located at a slope change point and the slope after the slope change is increased, modify the height of the contact line to be
Figure BDA0002875825170000132
As an alternative embodiment, the calculation formula of the pulling force of the first dropper on the right side of the pillar in the pulling force calculation module 205 on the elastic sling is as follows:
FR＝fL+fR+m；
wherein, FRIs the pulling force of the first dropper on the right side of the strut on the elastic sling, m is the self weight of the first dropper on the right side of the strut, fLThe drag force of the left contact line of the first dropper on the right side of the strut, fRIs the drag of the right contact line of the first dropper on the right side of the strut,
Figure BDA0002875825170000141
g is the dead weight of the contact line in unit length, L is the horizontal distance between the first suspension string on the right side of the strut and the second suspension string on the right side of the strut, delta h is the height of the contact line corrected by the first suspension string on the right side of the strut minus the height of the contact line corrected by the strut positioning point, and T is the tension of the contact line.
As an optional implementation manner, the tension calculating module 206 specifically includes:
and the coordinate calculation unit is used for determining the coordinates of the upper end of the first hanger on the left side of the support, the coordinates of the upper end of the first hanger on the right side of the support, the coordinates of the clamp of the elastic sling on the left side of the support and the coordinates of the clamp of the elastic sling on the right side of the support according to the horizontal distance between the first characteristic point and the positioning point of the support, the height of the corrected contact line and the height of the corrected clamp.
And the balance equation establishing and solving unit is used for establishing an elastic sling left side moment balance equation and an elastic sling right side moment balance equation by a moment balance analysis method and solving the equations to obtain the elastic sling left side tension and the elastic sling right side tension according to the sling pulling force, the first sling upper end coordinate on the left side of the support, the first sling upper end coordinate on the right side of the support, the elastic sling wire clamp coordinate on the left side of the support and the elastic sling wire clamp coordinate on the right side of the support.
And the elastic sling tension calculating unit is used for determining the average value of the left side tension of the elastic sling and the right side tension of the elastic sling as the tension of the elastic sling.
As an alternative embodiment, the equation of balance establishing and solving unit calculates the left tension of the elastic sling according to the following formula:
Figure BDA0002875825170000142
wherein, F is the left tension of the elastic sling, M is the middle variable, XR1Is the abscissa, Y, of the upper end of the first dropper on the right side of the columnR1Is the ordinate, X, of the upper end of the first dropper on the right side of the columnL2The abscissa, Y, of the elastic suspension cable clamp on the left side of the postL2The ordinate, X, of the elastic suspension cable clamp on the left side of the pillarR2Is the abscissa, Y, of the elastic sling clamp on the right side of the postR2Is the ordinate of the elastic sling wire clamp at the right side of the post,
Figure BDA0002875825170000151
FLthe drag of the elastic suspension cable by the first hanger on the left side of the column, FRThe drag force, X, of the elastic suspension cable by the first suspension string on the right side of the postL1Is the abscissa, Y, of the upper end of the first dropper on the left side of the columnL1Is the ordinate of the upper end of the first dropper on the left side of the column, gcIs the dead weight of the carrier cable.
The embodiments in the present description are described in a progressive manner, each embodiment focuses on differences from other embodiments, and the same and similar parts among the embodiments are referred to each other. For the system disclosed by the embodiment, the description is relatively simple because the system corresponds to the method disclosed by the embodiment, and the relevant points can be referred to the method part for description.
The principles and embodiments of the present invention have been described herein using specific examples, which are provided only to help understand the method and the core concept of the present invention; meanwhile, for a person skilled in the art, according to the idea of the present invention, the specific embodiments and the application range may be changed. In view of the above, the present disclosure should not be construed as limiting the invention.

Claims (8)

1. A method for measuring the tension of an elastic sling of a contact net is characterized by comprising the following steps:
acquiring the horizontal distance between the first characteristic point and a pillar positioning point; the first characteristic point comprises a first hanging string on the right side of the strut, a second hanging string on the right side of the strut, a first hanging string on the left side of the strut, a second hanging string on the left side of the strut, an elastic sling wire clamp on the right side of the strut and an elastic sling wire clamp on the left side of the strut;
acquiring the height of a contact line of the second characteristic point; the second characteristic point comprises a strut positioning point, a first hanger on the right side of the strut, a second hanger on the right side of the strut, a first hanger on the left side of the strut and a second hanger on the left side of the strut;
acquiring the wire clamp height of the third characteristic point; the third characteristic point comprises a first hanger catenary wire clamp on the right side of the strut, a first hanger catenary wire clamp on the left side of the strut, an elastic sling wire clamp on the right side of the strut and an elastic sling wire clamp on the left side of the strut;
according to the line gradient, respectively correcting the height of the contact line of the second characteristic point and the height of the wire clamp of the third characteristic point by adopting a height correction algorithm to obtain the corrected height of the contact line and the corrected height of the wire clamp;
calculating the pulling force of the dropper by adopting an unequal-height suspension force analysis formula based on the corrected height of the contact line; the dropper pulling force comprises the pulling force of the first dropper on the right side of the strut on the elastic sling and the pulling force of the first dropper on the left side of the strut on the elastic sling;
based on the pulling force of the dropper, the horizontal distance between the first characteristic point and a positioning point of a strut, the height of the corrected contact line and the height of the corrected wire clamp, establishing a moment balance equation of the elastic sling by using a moment balance analysis method and solving the equation to obtain the tension of the elastic sling;
and according to the line gradient, correcting the height of the contact line of the second characteristic point by adopting a height correction algorithm to obtain the corrected height of the contact line, which specifically comprises the following steps:
when the positioning point of the support is positioned on a horizontal road surface or a ramp, the height of the corrected contact line is
Hi＝hi+tan(α)·Li
Wherein HiCorrected contact line height, h, for the second characteristic point iiIs the height of the contact line of the second characteristic point i, alpha is the gradient, LiThe horizontal distance of the second characteristic point i from the second dropper on the left side of the strut;
when the positioning point of the support is at a slope change point and the slope after slope change is reduced, the height of the corrected contact line is
Figure FDA0003423756260000021
Wherein x isiThe horizontal distance between the second characteristic point i and the starting point of the vertical curve is taken as the horizontal distance; x is the number of0The horizontal distance between the second dropper on the left side of the strut and the starting point of the vertical curve; r is the radius of a vertical curve;
when the positioning point of the support is positioned at the slope changing point and the slope after the slope changing is increased, the height of the corrected contact line is
Figure FDA0003423756260000022
2. The method for measuring the tension of the elastic sling of the overhead line system according to claim 1, wherein the pulling force of the first dropper on the right side of the strut on the elastic sling is calculated by using an unequal height suspension force analysis formula based on the corrected height of the contact line, and specifically comprises the following steps:
FR＝fL+fR+m
wherein, FRIs the pulling force of the first dropper on the right side of the strut on the elastic sling, m is the self weight of the first dropper on the right side of the strut, fLThe drag force of the left contact line of the first dropper on the right side of the strut, fRIs the drag of the right contact line of the first dropper on the right side of the strut,
Figure FDA0003423756260000031
g is the dead weight of the contact line in unit length, L is the horizontal distance between the first suspension string on the right side of the strut and the second suspension string on the right side of the strut, delta h is the height of the contact line corrected by the first suspension string on the right side of the strut minus the height of the contact line corrected by the strut positioning point, and T is the tension of the contact line.
3. The method for measuring the tension of the elastic sling of the contact network according to claim 1, wherein the step of establishing an elastic sling moment balance equation and solving the equation by using a moment balance analysis method based on the pulling force of the dropper, the horizontal distance between the first characteristic point and the positioning point of the strut, the corrected height of the contact line and the corrected height of the wire clamp to obtain the tension of the elastic sling specifically comprises the following steps:
determining the coordinates of the upper ends of the first hanging strings on the left side of the strut, the coordinates of the upper ends of the first hanging strings on the right side of the strut, the coordinates of the elastic sling wire clamps on the left side of the strut and the coordinates of the elastic sling wire clamps on the right side of the strut according to the horizontal distance between the first characteristic point and a strut positioning point, the height of the corrected contact line and the height of the corrected wire clamps;
establishing an elastic sling left-side moment balance equation and an elastic sling right-side moment balance equation by a moment balance analysis method according to the sling pulling force, the first sling upper end coordinate on the left side of the support, the first sling upper end coordinate on the right side of the support, the elastic sling wire clamp coordinate on the left side of the support and the elastic sling wire clamp coordinate on the right side of the support, and solving to obtain elastic sling left-side tension and elastic sling right-side tension;
determining the tension of the elastic sling as the average of the left side tension of the elastic sling and the right side tension of the elastic sling.
4. The method for measuring the tension of the elastic sling of the contact net according to claim 3, wherein the moment balance analysis method is adopted to establish a moment balance equation on the left side of the elastic sling and solve the moment balance equation by the sling tension, the coordinate of the upper end of the first sling on the left side of the strut, the coordinate of the upper end of the first sling on the right side of the strut, the coordinate of the clamp of the elastic sling on the left side of the strut and the coordinate of the clamp of the elastic sling on the right side of the strut, so as to obtain the tension on the left side of the elastic sling, which is specifically as follows:
Figure FDA0003423756260000041
wherein, F is the left tension of the elastic sling, M is the middle variable, XR1Is the abscissa, Y, of the upper end of the first dropper on the right side of the columnR1Is the ordinate, X, of the upper end of the first dropper on the right side of the columnL2The abscissa, Y, of the elastic suspension cable clamp on the left side of the postL2The ordinate, X, of the elastic suspension cable clamp on the left side of the pillarR2Is the abscissa, Y, of the elastic sling clamp on the right side of the postR2Is the ordinate of the elastic sling wire clamp at the right side of the post,
Figure FDA0003423756260000042
FLthe drag of the elastic suspension cable by the first hanger on the left side of the column, FRThe drag force, X, of the elastic suspension cable by the first suspension string on the right side of the postL1A cross seat at the upper end of a first hanger on the left side of the strutBiao, YL1Is the ordinate of the upper end of the first dropper on the left side of the column, gcIs the dead weight of the carrier cable.
5. The utility model provides a contact net elastic sling tension measurement system which characterized in that includes:
the distance parameter acquisition module is used for acquiring the horizontal distance between the first characteristic point and the positioning point of the strut; the first characteristic point comprises a first hanging string on the right side of the strut, a second hanging string on the right side of the strut, a first hanging string on the left side of the strut, a second hanging string on the left side of the strut, an elastic sling wire clamp on the right side of the strut and an elastic sling wire clamp on the left side of the strut;
the first height parameter acquisition module is used for acquiring the height of a contact line of the second characteristic point; the second characteristic point comprises a strut positioning point, a first hanger on the right side of the strut, a second hanger on the right side of the strut, a first hanger on the left side of the strut and a second hanger on the left side of the strut;
the second height parameter acquisition module is used for acquiring the wire clamp height of the third characteristic point; the third characteristic point comprises a first hanger catenary wire clamp on the right side of the strut, a first hanger catenary wire clamp on the left side of the strut, an elastic sling wire clamp on the right side of the strut and an elastic sling wire clamp on the left side of the strut;
the correction module is used for correcting the height of the contact line of the second characteristic point and the height of the wire clamp of the third characteristic point respectively by adopting a height correction algorithm according to the line gradient to obtain the corrected height of the contact line and the corrected height of the wire clamp;
the pulling force calculation module is used for calculating the pulling force of the dropper by adopting an unequal-height suspension force analysis formula based on the corrected height of the contact line; the dropper pulling force comprises the pulling force of the first dropper on the right side of the strut on the elastic sling and the pulling force of the first dropper on the left side of the strut on the elastic sling;
the tension calculation module is used for establishing an elastic sling moment balance equation and solving the equation by adopting a moment balance analysis method based on the dropper pulling force, the horizontal distance between the first characteristic point and a support positioning point, the corrected contact line height and the corrected wire clamp height to obtain the tension of the elastic sling;
the correction module specifically comprises:
the first correction unit is used for correcting the height of the contact line after correction when the positioning point of the support is positioned on a horizontal road surface or a slope
Hi＝hi+tan(α)·Li
Wherein HiCorrected contact line height, h, for the second characteristic point iiIs the height of the contact line of the second characteristic point i, alpha is the gradient, LiThe horizontal distance of the second characteristic point i from the second dropper on the left side of the strut;
a second modification unit, configured to, when the positioning point of the pillar is located at a slope change point and the slope after the slope change is reduced, modify the height of the contact line to be
Figure FDA0003423756260000061
Wherein x isiThe horizontal distance between the second characteristic point i and the starting point of the vertical curve is taken as the horizontal distance; x is the number of0The horizontal distance between the second dropper on the left side of the strut and the starting point of the vertical curve; r is the radius of a vertical curve;
a third modification unit, configured to, when the positioning point of the pillar is located at a slope change point and the slope after the slope change is increased, modify the height of the contact line to be
Figure FDA0003423756260000062
6. The system for measuring the tension of the elastic sling of the contact net according to claim 5, wherein the calculation formula of the tension of the elastic sling by the first dropper on the right side of the strut in the tension calculation module is as follows:
FR＝fL+fR+m；
wherein, FRThe first pair of elastic slings to the right of the pillarM is the first dropper dead weight on the right side of the strut, fLThe drag force of the left contact line of the first dropper on the right side of the strut, fRIs the drag of the right contact line of the first dropper on the right side of the strut,
Figure FDA0003423756260000063
g is the dead weight of the contact line in unit length, L is the horizontal distance between the first suspension string on the right side of the strut and the second suspension string on the right side of the strut, delta h is the height of the contact line corrected by the first suspension string on the right side of the strut minus the height of the contact line corrected by the strut positioning point, and T is the tension of the contact line.
7. The system for measuring the tension of the elastic sling of the overhead line system according to claim 5, wherein the tension calculation module specifically comprises:
the coordinate calculation unit is used for determining the coordinates of the upper ends of the first hanging strings on the left side of the support, the coordinates of the upper ends of the first hanging strings on the right side of the support, the coordinates of the elastic sling wire clamps on the left side of the support and the coordinates of the elastic sling wire clamps on the right side of the support according to the horizontal distance between the first characteristic point and the positioning point of the support, the height of the corrected contact line and the height of the corrected wire clamps;
the balance equation establishing and solving unit is used for establishing and solving an elastic sling left-side moment balance equation and an elastic sling right-side moment balance equation by a moment balance analysis method according to the sling pulling force, the first sling upper end coordinate on the left side of the support, the first sling upper end coordinate on the right side of the support, the elastic sling wire clamp coordinate on the left side of the support and the elastic sling wire clamp coordinate on the right side of the support to obtain elastic sling left-side tension and elastic sling right-side tension;
and the elastic sling tension calculating unit is used for determining the average value of the left side tension of the elastic sling and the right side tension of the elastic sling as the tension of the elastic sling.
8. The system for measuring the tension of the elastic sling of the overhead line system as claimed in claim 7, wherein the equation for the calculation of the left tension of the elastic sling in the equilibrium equation establishing and solving unit is as follows:
Figure FDA0003423756260000071
wherein, F is the left tension of the elastic sling, M is the middle variable, XR1Is the abscissa, Y, of the upper end of the first dropper on the right side of the columnR1Is the ordinate, X, of the upper end of the first dropper on the right side of the columnL2The abscissa, Y, of the elastic suspension cable clamp on the left side of the postL2The ordinate, X, of the elastic suspension cable clamp on the left side of the pillarR2Is the abscissa, Y, of the elastic sling clamp on the right side of the postR2Is the ordinate of the elastic sling wire clamp at the right side of the post,
Figure FDA0003423756260000072
Figure FDA0003423756260000081
FLthe drag of the elastic suspension cable by the first hanger on the left side of the column, FRThe drag force, X, of the elastic suspension cable by the first suspension string on the right side of the postL1Is the abscissa, Y, of the upper end of the first dropper on the left side of the columnL1Is the ordinate of the upper end of the first dropper on the left side of the column, gcIs the dead weight of the carrier cable.
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