A modeling method and system for the catenary anchor section joint of high-speed railway based on the ridge height

Abstract

The present invention discloses a method and system for modeling the joint of an anchor section of a high-speed railway contact network based on ridge height. The modeling method includes: S1: establishing a basic finite element model of the contact network; S2: calculating the contact network morphology according to the basic finite element model of the contact network; S3: setting the target ridge height as the input ridge height; establishing an anchor section joint model, and obtaining the height of each hanging string point according to the anchor section joint model; S4: substituting the height of each hanging string point into the contact network morphology, and calculating the static morphology of the contact network; extracting the actual ridge height; S5: comparing the actual ridge height and the target ridge height, if the convergence condition is met, completing the anchor section joint modeling based on the ridge height; if the convergence condition is not met, updating the input ridge height, and repeating S3-S4. The result obtained by the modeling based on the ridge height of the present invention is consistent with the actual situation on site, and is more accurate whether used for the dynamic characteristic analysis of the contact network or for the pre-configuration calculation and fine-tuning of the hanging wire during the erection of the contact network.

Description

Technical Field

[0001] The present invention relates to the technical field of high-speed railway catenaries, and particularly relates to a modeling method and system for a catenary anchor section joint of a high-speed railway based on the ridge height. Background Art

[0002] The electrified railway catenary system is the only channel for providing energy to high-speed trains, and supplies current to the train through sliding contact with the pantograph on the top of the vehicle. The catenary system includes a carrier cable, a contact wire, etc. The contact wire is suspended below the carrier cable by a number of droppers. The catenary is erected along the line. To ensure that a mechanical failure of a certain part of the catenary does not affect the entire line, it is disconnected every about 1.5 kilometers. Each mechanically independent section of the catenary is called an anchor section, and the overlapping part between two anchor sections is called an anchor section joint. As Figure 1 shown, the anchor section is the basic unit that makes up the catenary. Since the pantograph slides along the contact wire and needs to transition from one anchor section to another, in order to ensure the smooth high-speed transition of the pantograph, at the anchor section joint, the contact wire of the front anchor section will gradually rise, and the contact wire of the rear anchor section will gradually drop. At the anchor section joint, the contact wire of the front anchor section and the contact wire of the front anchor section are set at the same height. The distance between the two contact wires at the equal height and the height of the existing contact wire is called the ridge height. The two anchor sections are electrically connected through an electrical connection wire, and there is a certain horizontal distance between the two catenaries, that is, the parallel section is in the horizontal plane of the anchor section joint, but the heights are not equal in the vertical plane.

[0003] With the development of high-speed railways, the train speed has been continuously increasing, and the smoothness of the contact wire has become increasingly important. The anchor section joint is an important part to ensure the smooth transition of the pantograph on the catenary. In the prior art, the power supply method at the electrified railway catenary electrical phase separation anchor section joint or the normally open insulating anchor section joint often adopts power-off conversion, that is, there is no power supply during the process of the train transitioning from one anchor section to another. As a result, there will be a period of time without power during the train operation. During this period, although the train can continue to move forward by inertia, the speed will be greatly reduced. Moreover, when the area between the two anchor sections has a large slope, it may cause the train to be unable to smoothly pass through the anchor section joint between the two anchor sections due to insufficient power, resulting in an accident. Therefore, how to design the anchor section joint is a key concern for those skilled in the art. The existing modeling of the catenary anchor section joint is based on the load conditions of the droppers and the carrier cable, and does not take into account the ridge height. However, the ridge height has a great influence on the dynamic characteristics of the anchor section joint. The anchor section joint model obtained without considering the ridge height does not conform to the actual situation on site. Summary of the Invention

[0004] The object of the present invention is to overcome the problems in the prior art that the catenary anchor section joint modeling does not consider the ridge height value, resulting in the pantograph-catenary dynamic characteristic analysis not being close to the actual situation and the pre-assembly of the catenary installation being inaccurate. The present invention provides a catenary anchor section joint modeling considering the ridge height, which not only makes the pantograph-catenary dynamic characteristic analysis closer to the actual on-site situation and ensures good smoothness of the contact wire, but also is an important support for the pre-assembly of the catenary installation.

[0005] In order to achieve the above object of the invention, the present invention provides the following technical solutions:

[0006] A method for modeling a catenary anchor section joint of a high-speed railway based on the ridge height, comprising the following steps:

[0007] Step S1: Establish a basic finite element model of the catenary;

[0008] Step S2: Calculate the catenary shape according to the basic finite element model of the catenary;

[0009] Step S3: Set the target ridge height H target at the anchor section joint as the input ridge height H input for the static form-finding of the catenary; establish an anchor section joint model according to the input ridge height and the elevation value of the contact wire at the support point, and obtain the heights of each suspension point according to the anchor section joint model;

[0010] Step S4: Substitute the heights of each suspension point obtained in Step S3 into the catenary shape in Step S2 to perform the static catenary shape calculation; extract the actual ridge height H actual according to the static form-finding result;

[0011] Step S5: Compare the magnitudes of the actual ridge height and the target ridge height, and the convergence condition is |H target -H actual | ≤ δ. If the convergence condition is satisfied, the modeling of the anchor section joint based on the ridge height is completed; if the convergence condition is not satisfied, update the input ridge height and repeat Steps S3 - S4.

[0012] Furthermore, in Step S1, the basic finite element model of the catenary is established based on the ordinary section of non-linear beam elements, non-linear rod elements and concentrated mass points, and the concentrated mass points include suspension points and positioning points.

[0013] Furthermore, the degree-of-freedom vector of each non-linear beam element or non-linear rod element is expressed as:

[0014]

[0015] where x, y, and z are the nodal displacements in three directions respectively; the subscripts m and n are the nodes at both ends of the element; χ ranges from 0 to L 0Local coordinates, L 0 Is the unconstrained length of the nonlinear beam element or the nonlinear rod element.

[0016] Further, in step S1, according to the basic finite element model of the catenary, the catenary configuration is calculated using the global incremental equilibrium equation. The global incremental equilibrium equation is:

[0017]

[0018] Where ΔF is the unbalanced force vector; K G Is related to the nodal displacement increment vector, ΔU is the displacement increment vector, and is related to K G ; K L Is related to the unconstrained length increment vector, ΔL is the element length increment vector, and is related to K L ;

[0019] The first constraint equation of the global incremental equilibrium equation is:

[0020] U(i target ) = d target

[0021] Where, i target Is the nodal position in vector U that needs to be specified; d target Is the target value of the specified node;

[0022] The second constraint equation of the global incremental equilibrium equation is:

[0023]

[0024] Where T 0 Is the tension of the contact wire, the messenger wire or the elastic suspension wire respectively, and f 1 , f 2 , f 3 Are the nodal internal forces in three directions on the contact wire, the messenger wire or the elastic suspension wire.

[0025] Further, in step S3, according to the input ridge height and the elevation value of the contact wire at the support point, the anchor section joint model is obtained by the cubic spline interpolation method.

[0026] Further, δ is taken as 1 mm.

[0027] Further, the formula for updating the input ridge height is:

[0028] H input = H input + (H target - H actual ).

[0029] The present invention also provides a modeling system for the catenary anchor section joint of high-speed railways based on the roof height. The system is used to implement the above-mentioned modeling method, and the system includes:

[0030] A catenary basic finite element model establishment module, which is used to establish a catenary basic finite element model;

[0031] A catenary shape calculation module, which is used to calculate the catenary shape according to the catenary basic finite element model;

[0032] An input roof height module, which is used to set the target roof height at the anchor section joint as the input roof height for the static shape finding of the catenary;

[0033] A suspension point height calculation module, which is used to establish an anchor section joint model according to the input roof height and the elevation value of the contact wire at the support point, and obtain the heights of each suspension point according to the anchor section joint model;

[0034] An actual roof height extraction module, which is used to substitute the heights of each suspension point into the catenary shape in step S2 for static catenary shape calculation; according to the static shape finding result, extract the actual roof height;

[0035] An anchor section joint modeling module, which is used to compare H target and H actual The convergence condition is |H target -H actual |≤δ. If the convergence condition is met, the modeling of the anchor section joint based on the roof height is completed; if the convergence condition is not met, the input roof height is updated.

[0036] The present invention also provides a storage medium for the modeling system of the catenary anchor section joint of high-speed railways based on the roof height. The storage medium includes a stored program, and when the program is executed by a processor, the above-mentioned modeling method is implemented.

[0037] Compared with the prior art, the beneficial effects of the present invention are:

[0038] The present invention provides a method for modeling the anchor section joint of the high-speed railway catenary based on the ridge height. First, a basic finite element model of the catenary is established; a method for calculating the catenary shape is established; the target ridge height value at the anchor section joint is input and used as the initial iteration value of the ridge height; the heights of each suspension point within the span where the anchor section joint is located are solved by the cubic spline interpolation method; based on the finite element model of the catenary and according to the suspension point height values, the initial shape parameters of the catenary are solved; the actual ridge height value at this time is extracted; the relationship between the actual ridge height value and the target value is compared. If the convergence condition is not met, the ridge height iteration value is updated and enters the next loop. The present invention is an efficient and accurate method for modeling the anchor section joint based on the ridge height. By inputting the target ridge height for static shape finding of the catenary, after iteration, the actual ridge height is made as close as possible to the target ridge height. The obtained results are consistent with the actual situation on site. Whether it is used for the dynamic characteristic analysis of the catenary or for the pre-assembly calculation and fine adjustment of the suspension wire during the erection process of the catenary, it is more accurate, ensuring that the contact wire has good smoothness. Description of the Drawings

[0039] Figure 1 It is a schematic diagram of the catenary anchor section joint;

[0040] Figure 2 It is a schematic flow diagram of the method for modeling the high-speed railway catenary anchor section joint based on the ridge height

[0041] Figure 3 It is a schematic diagram of the ridge height at the anchor section joint;

[0042] Figure 4 It is a modeling result diagram of the catenary anchor section joint when the ridge height is 40 mm in Embodiment 2;

[0043] Figure 5 It is a modeling result diagram of the catenary anchor section joint when the ridge height is 60 mm in Embodiment 3;

[0044] Markings in the figure: 1 - anchor section, 11 - contact wire of the front anchor section, 12 - contact wire of the rear anchor section, 2 - anchor section joint, 31 - first suspension point, 32 - second suspension point, 41 - first positioning point, 42 - second positioning point, 51 - first support point, 52 - second support point. Detailed Embodiments

[0045] The present invention will be further described in detail below in combination with test examples and specific embodiments. However, this should not be understood that the scope of the above-mentioned subject matter of the present invention is limited to the following embodiments. All technologies implemented based on the content of the present invention belong to the scope of the present invention.

[0046] Embodiment 1

[0047] The catenary is erected along the line and consists of several anchor sections 1, such asFigure 1 As shown in the figure, the overlapping part between two anchor sections 1 is called the anchor section joint 2. In actual application, the contact wires of the two anchor sections need to be transitioned so that the pantograph can slide from the front anchor section contact wire 11 to the rear anchor section contact wire 12 along the contact wire. At the anchor section joint, the front anchor section contact wire 11 gradually rises, and the rear anchor section contact wire 12 gradually descends. The distance between the two contact wires at the equal height and the height of the existing contact wire is called the ridge height. The existing modeling of the catenary anchor section joint is based on the load conditions of the droppers and the carrier cables, without considering the ridge height. However, the ridge height has a great influence on the dynamic characteristics of the anchor section joint. The anchor section joint model obtained without considering the ridge height does not conform to the actual situation on site. In order to improve the accuracy of the catenary anchor section joint modeling, the ridge height needs to be considered.

[0048] A modeling method for the catenary anchor section joint of high-speed railways based on the ridge height, as Figure 2 shown, includes the following steps:

[0049] Step S1: Establish a basic finite element model of the catenary;

[0050] Before establishing the basic finite element model of the catenary, the catenary is divided into nonlinear beam elements and nonlinear rod elements. The degrees of freedom of the nonlinear beam elements and nonlinear rod elements are different. Among them, the nonlinear beam elements can bear bending loads, and the nonlinear rod elements can bear axial tensile loads or compressive loads. The degree-of-freedom vector of each nonlinear beam element or nonlinear rod element is expressed as:

[0051]

[0052] where x, y, and z are the nodal displacements in the three directions respectively; the subscripts m and n are the nodes at both ends of the element; χ is the local coordinate ranging from 0 to L 0 and L 0 is the unconstrained length of the nonlinear beam element or nonlinear rod element.

[0053] The basic finite element model of the catenary is established based on the ordinary section of nonlinear beam elements, nonlinear rod elements, and concentrated mass points. The anchor section is divided into an ordinary section and an anchor section joint, and the concentrated mass points include dropper points and positioning points.

[0054] The suspension point is the position on the catenary wire at the anchor section joint where the suspension is set, used to connect the catenary wire and the carrier cable. The suspension points are divided into the first suspension point 31 and the second suspension point 32. The first suspension point 31 is located on the front anchor section connecting line 11, and the second suspension point 32 is located on the rear anchor section connecting line 12. The positioning point is the position on the catenary wire at the anchor section joint where the positioning device is set, used to set the catenary wire offset. The positioning point on the front anchor section catenary wire 11 is the first positioning point 41, and the positioning point on the rear anchor section catenary wire 12 is the second positioning point 42. The number of suspension points is determined according to the catenary design. In this embodiment, at each anchor section joint, there are five suspension points and one positioning point set on both the front anchor section catenary wire and the rear anchor section catenary wire, as Figure 3 shown.

[0055] Step S2: Calculate the catenary shape according to the basic finite element model of the catenary;

[0056] Calculate the catenary shape according to the basic finite element model of the catenary by using the global incremental equilibrium equation. The global incremental equilibrium equation is:

[0057]

[0058] where ΔF is the unbalanced force vector; K G is related to the nodal displacement increment vector, ΔU is the displacement increment vector, and is related to K G ; K L is related to the unconstrained length increment vector, ΔL is the element length increment vector, and is related to K L .

[0059] The number of unknowns in the global incremental equilibrium equation exceeds the number of equations. Therefore, additional constraint conditions are needed to make it have a unique solution.

[0060] The first constraint condition is to limit the degrees of freedom of the catenary according to the target shape of the catenary, including the vertical position of the suspension at the catenary wire node and the longitudinal positions of all nodes. The first constraint equation is expressed as:

[0061] U(i target ) = d target

[0062] where, i target is the node position in the vector U that needs to be specified; d target is the target value of the specified node.

[0063] The second constraint condition is the relationship between the tensions of the catenary wire, the carrier cable, and the elastic suspension and the internal forces of the nodes on each wire. The tensions are applied to the end nodes of various wires. Various wires refer to the catenary wire, the carrier cable, and the elastic suspension. The second constraint equation is expressed as:

[0064]

[0065] Among them, T 0 is the tension of the contact wire, the catenary wire or the elastic sling respectively, and f 1 , f 2 , f 3 are the internal forces of the nodes in three directions on the contact wire, the catenary wire or the elastic sling. The elastic sling is arranged at both ends of the pillar, is directly connected to the catenary wire, and is also connected to the contact wire through the dropper.

[0066] The above two constraint conditions can ensure that the number of equations and the number of unknowns in the global incremental balance equation are equal, so that the result of the static form-finding of the catenary according to the basic finite element model of the catenary has a unique solution, and the shape of the catenary can be obtained.

[0067] Step S3: Set the target ridge height at the anchor section joint as the input ridge height H of the static form-finding of the catenary input ; According to the input ridge height and the elevation value of the contact wire at the pillar point, establish an anchor section joint model, and obtain the heights of each dropper point according to the anchor section joint model;

[0068] The target ridge height is determined according to the design requirements of the catenary. After the static form-finding is completed, the actual ridge height of the anchor section joint should be as close as possible to the target ridge height.

[0069] Set the target ridge height H at the catenary anchor section joint target as the input ridge height H input ; That is:

[0070] H input = H target

[0071] The pillar point is the position where the contact wire and the catenary wire are suspended. The pillar point of the contact wire in the front anchor section is the first pillar point 51, and the pillar point of the contact wire in the rear anchor section is the second pillar point 52. The distance between the first pillar point 51 and the horizontal contact wire is the first elevation value H ch1 , and the distance between the second pillar point 52 and the horizontal contact wire is the second elevation value H ch2 .

[0072] According to the input ridge height H input , the first elevation value H ch1 and the second elevation value H ch2 of the left and right contact wires of the anchor section joint at the center post, an anchor section joint model is obtained by the cubic spline interpolation method.

[0073] The distance between each dropper point on the contact wire in the front anchor section and the horizontal contact wire is the first dropper point height H drp1i, where \(i = 1, 2, 3,\cdots,m\), and \(m\) is the number of suspension points on the catenary of the front anchor section; the distance between each suspension point on the catenary of the rear anchor section and the horizontal catenary is the height \(H\) of the second suspension point drp2i , where \(i = 1, 2, 3,\cdots,n\), and \(n\) is the number of suspension points on the catenary of the rear anchor section; solve for the height \(H\) of the first suspension point according to the anchor section joint model drp1i and the height \(H\) of the second suspension point drp2i ;

[0074] Step S4: Substitute the height of each suspension point obtained in Step S3 into the catenary shape in Step S2 to perform the static catenary shape calculation; according to the static shape finding result, extract the actual ridge height \(H\) actual ;

[0075] Substitute the height \(H\) of the first suspension point drp1i and the height \(H\) of the second suspension point drp2i into the global incremental equilibrium equation to solve for the static shape finding data of the catenary.

[0076] Step S5: Compare the magnitudes of \(H\) target and \(H\) actual . The convergence condition is \(|H\) target - \(H\) actual | \(\leq\) \(\delta\). If the convergence condition is satisfied, the modeling of the anchor section joint based on the ridge height is completed; if the convergence condition is not satisfied, update the input ridge height and repeat Steps S3 - S4. The formula for updating the input ridge height is:

[0077] \(H\) input = \(H\) input + (\(H\) target - \(H\) actual )

[0078] In this embodiment, \(\delta\) is a design value, taking 1 mm. In the formula for updating the input ridge height, \(H\) input on the left side of the equation is the updated input ridge height, and \(H\) input on the right side of the equation is the input ridge height before updating.

[0079] Embodiment 2

[0080] This embodiment adopts the method for modeling the anchor section joint of the high - speed railway catenary based on the ridge height provided in Embodiment 1. In this embodiment, the target ridge height is 40 mm, and the parameters of the catenary are as shown in Table 1 below. The modeling result of the anchor section joint is as Figure 4 shown.

[0081] Table 1 Basic geometric parameters of the catenary

[0082]

[0083] Embodiment 3

[0084] This embodiment adopts the modeling method of the catenary anchor section joint based on the ridge height provided in Embodiment 1. In this embodiment, the target ridge height is 60 mm, and the modeling result of the anchor section joint is as follows: Figure 5 shown.

[0085] Embodiment 4

[0086] This embodiment provides a modeling system of the catenary anchor section joint based on the ridge height, which can be implemented in a hardware or software manner and is used to complete the modeling method described in Embodiment 1. The system includes:

[0087] A catenary basic finite element model establishment module, which is used to establish a catenary basic finite element model, corresponding to the content of step S1 in Embodiment 1.

[0088] A catenary shape calculation module, which is used to calculate the catenary shape according to the catenary basic finite element model, corresponding to the content of step S2 in Embodiment 1.

[0089] A ridge height input module, which is used to set the target ridge height at the anchor section joint as the input ridge height for the static shape finding of the catenary; corresponding to the content of step S3 in Embodiment 1.

[0090] A suspension point height calculation module, which is used to establish an anchor section joint model according to the input ridge height and the elevation value of the contact wire at the support point, and obtain the heights of each suspension point according to the anchor section joint model; corresponding to the content of step S3 in Embodiment 1.

[0091] An actual ridge height extraction module, which is used to substitute the heights of each suspension point into the catenary shape in step S2 for the static shape calculation of the catenary; according to the static shape finding result, extract the actual ridge height, corresponding to the content of step S4 in Embodiment 1.

[0092] An anchor section joint modeling module, which is used to compare H target and H actual The convergence condition is |H target -H actual |≤δ. If the convergence condition is satisfied, the modeling of the anchor section joint based on the ridge height is completed; if the convergence condition is not satisfied, the input ridge height is updated; corresponding to the content of step S5 in Embodiment 1.

[0093] Those skilled in the art can understand that all or part of the functions of the embodiments of the present invention can be implemented in a hardware manner or in a computer program manner. When all or part of the functions in the above embodiments are implemented in a computer program manner, the program can be stored in a computer-readable storage medium, which can include: read-only memory, random access memory, magnetic disk, optical disk, hard disk, etc. The above functions can be realized by a computer executing the program. For example, the program is stored in the memory of the device, and when the processor executes the program in the memory, the above all or part of the functions can be realized. In addition, when all or part of the functions in the above embodiments are implemented in a computer program manner, the program can also be stored in a storage medium such as a server, another computer, magnetic disk, optical disk, flash drive or mobile hard disk, and saved to the memory of the local device by downloading or copying, or the system of the local device is updated. When the processor executes the program in the memory, all or part of the functions in the above embodiments can be realized.

[0094] The foregoing are only the preferred embodiments of the present invention and are not intended to limit the present invention. Any modifications, equivalent replacements, and improvements made within the spirit and principles of the present invention shall be included within the protection scope of the present invention.

Claims

1. A modeling method for the catenary anchor section joint of high-speed railway based on the ridge height, characterized in that, it includes the following steps: Step S1: Establish a basic finite element model of the catenary. The basic finite element model of the catenary is established based on the ordinary section of non-linear beam elements, non-linear rod elements and concentrated mass points. The concentrated mass points include suspension points and positioning points; Step S2: Calculate the catenary shape according to the basic finite element model of the catenary by using the global incremental equilibrium equation. The global incremental equilibrium equation is: where ΔF is the unbalanced force vector; K G is related to the nodal displacement increment vector, ΔU is the displacement increment vector, and is related to K G ; K L is related to the unconstrained length increment vector, ΔL is the element length increment vector, and is related to K L ; The first constraint equation of the global incremental equilibrium equation is: U(i target ) = d target where i target is the node position to be specified in vector U; d target is the target value of the specified node; The second constraint equation of the global incremental equilibrium equation is: where T 0 is the tension of the contact wire, the messenger wire or the elastic suspension respectively, and f 1 , f 2 , f 3 are the internal forces of the nodes in three directions on the contact wire, the messenger wire or the elastic suspension; Step S3: Set the target ridge height H at the anchor section joint target as the input ridge height H for the static form-finding of the catenary input ; According to the input ridge height and the elevation value of the contact wire at the support point, obtain the anchor section joint model by cubic spline interpolation method, and obtain the heights of each suspension point according to the anchor section joint model Step S4: Substitute the heights of each suspension point obtained in Step S3 into the catenary configuration in Step S2 to perform the static catenary configuration calculation; according to the static form-finding result, extract the actual ridge height H actual ; Step S5: Compare the actual ridge height with the target ridge height. The convergence condition is |H target -H actual | ≤ δ. If the convergence condition is met, the catenary anchor joint modeling based on the ridge height is completed; if the convergence condition is not met, update the input ridge height and repeat steps S3 - S4.

2. The modeling method for the catenary anchor section joint of high-speed railway based on the ridge height according to claim 1, characterized in that, The degree-of-freedom vector of each non-linear beam element or non-linear rod element is expressed as: where x, y, and z are the nodal displacements in three directions respectively; the subscripts m and n are the nodes at both ends of the element; χ is the local coordinate ranging from 0 to L 0 and L 0 is the unconstrained length of the nonlinear beam element or the nonlinear rod element.

3. The modeling method for the catenary anchor section joint of high-speed railway based on the ridge height according to claim 1, characterized in that, δ takes 1mm.

4. The modeling method for the catenary anchor section joint of high-speed railway based on the ridge height according to claim 1, characterized in that, The formula for updating the input ridge height is: H input = H input + (H target - H actual )。 5. A modeling system for the catenary anchor section joint of high-speed railway based on the ridge height, characterized in that, The system is used to complete the modeling method for the catenary anchor section joint of high-speed railway based on the ridge height as described in any one of claims 1-4. The system includes: A basic finite element model establishment module of the catenary, which is used to establish a basic finite element model of the catenary; A catenary shape calculation module, which is used to calculate the catenary shape according to the basic finite element model of the catenary; An input ridge height module, which is used to set the target ridge height at the anchor section joint as the input ridge height for the static form-finding of the catenary; A suspension point height calculation module, which is used to establish an anchor section joint model according to the input ridge height and the elevation value of the contact wire at the support point, and obtain the heights of each suspension point according to the anchor section joint model; An actual ridge height extraction module, which is used to substitute the heights of each suspension point into the catenary shape of step S2 for static catenary shape calculation; according to the static form-finding result, extract the actual ridge height; The anchor section joint modeling module is used to compare H target and H actual The size of, the convergence condition is |H target -H actual | ≤ δ. If the convergence condition is satisfied, the anchor section joint modeling based on the ridge height is completed; if the convergence condition is not satisfied, the input ridge height is updated.

6. A storage medium of a modeling system for the catenary anchor section joint of high-speed railway based on the ridge height, characterized in that, The storage medium includes a stored program, and when the program is executed by a processor, it realizes the modeling method for the catenary anchor section joint of high-speed railway based on the ridge height as described in any one of claims 1-4.

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