Method and system for identifying loose strands and broken strands of overhead power transmission line conductor

Abstract

The application discloses a kind of overhead transmission line wire loose strand and scattered strand discrimination method and system, comprising: according to the space coordinates of given wire strand node, the space coordinates of the point on the section profile of each layer wire strand are calculated;Based on the space coordinates of the point on the section profile of each layer wire strand, the distance between adjacent layers of wire strands corresponding to a given angle and the included angle between outer adjacent wire strands are calculated;Based on the distance between adjacent layers of wire strands corresponding to the given angle and the included angle between outer adjacent wire strands, the position of loose strand and / or scattered strand is determined.The application provides an effective calculation means for wire section loose strand and scattered strand discrimination, and solves the problem that the distance between wire strands and the included angle cannot be directly obtained after wire strand deformation finite element analysis post-processing, leading to the difficulty of loose strand and scattered strand discrimination.

Description

Technical Field

[0001] This invention relates to the field of power transmission line engineering technology, specifically to a method and system for identifying loose strands and scattered strands in overhead power transmission line conductors. Background Technology

[0002] Overhead transmission lines use bare stranded wire as conductors, such as Figure 1 and Figure 2 As shown, a central straight strand is surrounded by one or more spiral strands, with adjacent layers twisted in opposite directions. This means the overhead conductor is a "concentrically stranded" conductor, with each layer twisted in opposite directions. During the tensioning and laying of transmission lines, the conductor is pulled from the reel by a traction machine, passes through the tensioning machine and multiple laying pulleys, and arrives at the traction field. During this process, defects such as loose strands and unraveling occur frequently due to the combined influence of factors such as tension, pulley envelope angle, pulley diameter and spacing, and residual stress in the conductor. These defects affect the quality and safety of the laying operation, and in severe cases, require conductor replacement, resulting in significant economic losses.

[0003] The analysis and calculation of conductor strand structural deformation often employs the finite element method (FEM), which can obtain the spatial deformation of each strand. In the FEM analysis of conductor structural deformation, beam elements can be used for analysis and calculation of the strands. In this case, the calculated node positions of the strands represent the central axes of each strand. Figure 3 As shown. However, finite element analysis cannot directly determine the spacing and angle of the strands in the cross section, and therefore cannot identify loose strands and scattered strands in the conductor. Therefore, there is currently no direct and clear calculation method for identifying loose strands or scattered strands after conductor structure deformation, which brings many inconveniences to the analysis and identification of loose strands and scattered strands in conductor structure. Summary of the Invention

[0004] To address the aforementioned shortcomings in the existing technology, this invention provides a method for identifying loose and scattered strands in overhead transmission line conductors, comprising:

[0005] Calculate the spatial coordinates of points on the cross-sectional profile of each layer of the conductor based on the given spatial coordinates of the conductor strand nodes;

[0006] Calculate the spacing between adjacent strands and the included angle between adjacent outer strands corresponding to a given angle based on the spatial coordinates of points on the cross-sectional profile of each strand layer.

[0007] Based on the spacing between adjacent strands corresponding to the given angle and the included angle between adjacent strands in the outer layer, the location where loose strands and / or scattered strands occur is determined.

[0008] Preferably, the step of calculating the spatial coordinates of points on the cross-sectional profile of each layer of conductor strands based on the given spatial coordinates of conductor strand nodes includes:

[0009] Based on the given spatial coordinates of the strand nodes of the conductor, the spatial coordinates of the contour points of each layer of the conductor on any cross section are calculated using interpolation in a spatial rectangular coordinate system.

[0010] Based on the spatial coordinates of the contour points of each layer of strands on the cross section, the adjacent contour points of the same layer of strands are interpolated using an Archimedean spiral to obtain the interpolation curve between all adjacent contour points of the same layer of strands on the cross section and the range of the curve angle corresponding to the interpolation curve.

[0011] Using all the ranges of the included angles of the curves and the interpolation curves corresponding to each range of the included angles of the curves, determine the spatial coordinates of the interpolation points corresponding to any included angle on the cross-sectional profile of each layer of the conductor.

[0012] The points include contour points and interpolation points.

[0013] Furthermore, the step of calculating the spatial coordinates of the contour points of each layer of the conductor on any cross-section using interpolation in a spatial rectangular coordinate system based on the given spatial coordinates of the conductor strand nodes includes:

[0014] Instantiate a pre-constructed spatial line parametric equation based on the given spatial coordinates of the conductor strand nodes;

[0015] The spatial coordinates of the intersection points of the cross section with the outer layer and adjacent outer layer strands are obtained based on the arbitrary cross section and the instantiated spatial linear parametric equation.

[0016] Based on the spatial coordinates of the intersection points of the cross section and the outer layer and adjacent outer layer strands, the spatial coordinates of the contour points of the outer layer and adjacent outer layer strands on the cross section are constructed.

[0017] The spatial line parametric equation is constructed based on the spatial coordinates of two adjacent line nodes on the same layer.

[0018] Furthermore, the parametric equation of the spatial line is shown in the following equation:

[0019]

[0020] In the formula: (x, y, z) are the strand nodes P i n and stock line node P n i+1 Any contour point Q between j Spatial coordinates; (x i n y i n z i n ) is the node P of the stock line. i n The node space coordinates; (x ni+1 y n i+1 , z n i+1 ) is the node P of the stock line. n i+1 The node spatial coordinates; n is the strand number of this layer; i is the strand node number; j is the section number; t is the parameter and t∈[0,1].

[0021] Furthermore, the step of interpolating adjacent contour points of the same layer of strands using an Archimedean spiral based on the spatial coordinates of the contour points on the cross section to obtain the interpolation curve between all adjacent contour points of the same layer of strands on the cross section and the range of the curve angle corresponding to the interpolation curve includes:

[0022] Based on the spatial coordinates of the contour points of each layer of strands on the cross section, the spiral radius of all contour points on each layer of strands and the center point of the cross section of the layer of strands are obtained by using the spiral radius formula and the rotation angle formula, respectively.

[0023] Based on the spiral radius of all contour points on each layer of strands and the center point of the cross section of the layer of strands, as well as the rotation angle between all contour points and the horizontal coordinate axis, the adjacent contour points of the same layer of strands are interpolated using an Archimedean spiral to obtain the interpolation curve between all adjacent contour points of the same layer of strands on the cross section.

[0024] The difference in rotation angle between adjacent contour points is taken as the range of the curve angle corresponding to the interpolation curve between the adjacent contour points.

[0025] Furthermore, the formula for the rotation angle is as follows:

[0026]

[0027] In the formula: θ is the counterclockwise direction from the y-axis to O. j Q j The rotation angle; the center point O of the cross section j The spatial coordinates are (x j 0 y j 0 , z j 0 (y, z) are the cross section S j any point Q on the upper contour j Spatial coordinates.

[0028] Furthermore, the parametric equation of the interpolation curve is shown in the following equation:

[0029]

[0030] In the formula: (x, y, z) represent the cross section S j any point Q on the upper contour j Spatial coordinates; Section S j The nth contour point The spatial coordinates are (x j 0 y n Qj , z n Qj Section S j The (n+1)th contour point The spatial coordinates are (x j 0 y n+1 Qj , z n+1 Qj ); For section S j The nth contour point With the center point O of the cross section j The spiral radius; For section S j The (n+1)th contour point With the center point O of the cross section j The spiral radius; From the y-axis counterclockwise to The rotation angle; From the y-axis counterclockwise to The rotation angle; θ is the angle from the y-axis counterclockwise to O. j Q j The rotation angle, θ∈[0,2π).

[0031] Furthermore, the parametric equation of the interpolation curve is also shown in the following equation:

[0032]

[0033] In the formula: (x, y, z) represent the cross section S j any point Q on the upper contour j Spatial coordinates; Section S j The nth contour point The spatial coordinates are (x j 0 y n Qj , z n Qj Section S j The (n+1)th contour point The spatial coordinates are (x j 0 y n+1 Qj, z n+1 Qj ); For section S j The nth contour point With the center point O of the cross section j The spiral radius; For section S j The (n+1)th contour point With the center point O of the cross section j The spiral radius; From the y-axis counterclockwise to The rotation angle; From the y-axis counterclockwise to The rotation angle; θ is the angle from the y-axis counterclockwise to O. j Q j The rotation angle, θ∈[0,2π).

[0034] Preferably, the step of calculating the spacing between adjacent strands and the angle between adjacent outer strands corresponding to a given angle based on the spatial coordinates of points on the cross-sectional profile of each strand includes:

[0035] Determine the range of the curve's included angle based on the given angle value;

[0036] Based on the interpolation curve corresponding to the range of the curve angle, determine the spatial coordinates of the outer interpolation point and the spatial coordinates of the adjacent outer interpolation point corresponding to the given angle;

[0037] The spacing between adjacent strands corresponding to the given angle is obtained by using the spiral radius formula based on the spatial coordinates of the outer interpolation point and the spatial coordinates of the adjacent outer interpolation point.

[0038] Based on the spatial coordinates of the contour points on the outer contour of the strand cross section, the included angle between adjacent strands in the outer layer is determined.

[0039] Furthermore, the step of obtaining the spacing between adjacent strands corresponding to the given angle using the spiral radius formula based on the spatial coordinates of the outer interpolation point corresponding to the given angle and the spatial coordinates of the adjacent outer interpolation point includes:

[0040] The helix radius between the outer interpolation point and the center point of the strand section is calculated using the helix radius formula based on the spatial coordinates of the outer interpolation point at a given angle.

[0041] The helix radius between the adjacent outer layer interpolation point and the center point of the strand cross section is calculated using the helix radius formula based on the spatial coordinates of the adjacent outer layer interpolation point at the given angle.

[0042] The spacing between adjacent strands corresponding to the given angle is determined based on the helix radius between the outer interpolation point and the center point of the strand cross section and the helix radius between the adjacent outer interpolation point and the center point of the strand cross section.

[0043] Furthermore, the formula for the helix radius is as follows:

[0044]

[0045] In the formula: r is the cross section S j any point Q on the upper contour j (x, y, z) and the center point O of the cross section j The helix radius; cross section S j Intersection point O with the center line j The spatial coordinates are (x j 0 y j 0 , z j 0 ).

[0046] Furthermore, determining the location of loosening and / or scattering of strands based on the spacing between adjacent strands corresponding to the given angle and the included angle between adjacent outer strands includes:

[0047] Based on the spacing and diameter of adjacent strands corresponding to the given angle, the loosening coefficient corresponding to the given angle is obtained;

[0048] Based on the relationship between the loosening coefficient and the loosening discrimination coefficient corresponding to the given angle, determine whether loosening has occurred at the position corresponding to the given angle;

[0049] Based on the angle between adjacent outer strands and the average angle between the line connecting the adjacent outer strands and the center point of the cross section, the strand dispersion coefficient between the contour points is obtained.

[0050] Based on the relationship between the strand dispersion coefficient and the dispersion discrimination coefficient between the contour points, the location where dispersion occurs is determined.

[0051] Based on the same inventive concept, this invention also provides a system for identifying loose and scattered strands in overhead transmission line conductors, comprising:

[0052] The interpolation module is used to calculate the spatial coordinates of points on the cross-sectional profile of each layer of the conductor based on the given spatial coordinates of the conductor strand nodes.

[0053] The calculation module is used to calculate the spacing between adjacent strands and the included angle between adjacent strands in the outer layer corresponding to a given angle, based on the spatial coordinates of points on the cross-sectional profile of each strand.

[0054] The discrimination module is used to determine the location of loosening and / or scattering of strands based on the spacing between adjacent strands corresponding to the given angle and the included angle between adjacent strands in the outer layer.

[0055] Preferably, the interpolation module includes:

[0056] The first interpolation submodule is used to calculate the spatial coordinates of the contour points of each layer of the conductor on any cross section in a spatial rectangular coordinate system based on the given spatial coordinates of the conductor strand nodes.

[0057] The second interpolation submodule is used to interpolate adjacent contour points of the same layer of strands using an Archimedean spiral based on the spatial coordinates of the contour points of each layer of strands on the cross section, so as to obtain the interpolation curve between all adjacent contour points of the same layer of strands on the cross section and the range of the curve angle corresponding to the interpolation curve.

[0058] The determination submodule is used to determine the spatial coordinates of the interpolation points corresponding to any angle on the cross-sectional profile of each layer of the conductor using all the curve angle ranges and the interpolation curves corresponding to each curve angle range.

[0059] The points include contour points and interpolation points.

[0060] Compared with the prior art, the beneficial effects of the present invention are as follows:

[0061] The technical solution provided by this invention calculates the spatial coordinates of points on the cross-sectional profile of each layer of conductor strands based on the given spatial coordinates of conductor strand nodes; calculates the spacing between adjacent layers of strands and the included angle between adjacent outer layers of strands corresponding to a given angle based on the spatial coordinates of points on the cross-sectional profile of each layer of strands; and determines the location of loose strands and / or scattered strands based on the spacing between adjacent layers of strands and the included angle between adjacent outer layers of strands corresponding to the given angle. This invention provides an effective calculation method for identifying loose strands and scattered strands in conductor cross-sections. It not only solves the problem that the spacing and included angle of the cross-section strands cannot be directly obtained after finite element analysis of conductor strand deformation, leading to difficulties in identifying loose strands and scattered strands, but also determines the location of loose strands and / or scattered strands. The analysis of loose strands and scattered strands after conductor strand deformation provides a basis for conductor design. Attached Figure Description

[0062] Figure 1 This is a schematic diagram of the conductor;

[0063] Figure 2 This is a schematic diagram of the conductor cross-section structure;

[0064] Figure 3 A schematic diagram of a single strand and its central axis;

[0065] Figure 4A flowchart of the method for identifying loose strands and scattered strands in overhead transmission line conductors provided by the present invention;

[0066] Figure 5 This is a schematic diagram of the spatial position of the conductor in an embodiment of the present invention;

[0067] Figure 6 This is a schematic diagram of the conductor cross-section in an embodiment of the present invention;

[0068] Figure 7 This is a schematic diagram of the intersection point of any strand and the cross section in an embodiment of the present invention;

[0069] Figure 8 This is a schematic diagram of the intersection points of different layers of strands with the cross section in an embodiment of the present invention;

[0070] Figure 9 This is a schematic diagram of the cross-sectional profile point interpolation of the strand in an embodiment of the present invention;

[0071] Figure 10 This is a schematic diagram of the interpolation of special contour points of the strand cross section in an embodiment of the present invention;

[0072] Figure 11 This is a schematic diagram illustrating the distance for determining loose strands in a conductor according to an embodiment of the present invention;

[0073] Figure 12 This is a flowchart of the method for determining loose strands and scattered strands in a conductor according to an embodiment of the present invention;

[0074] Figure 13 The cross-sectional profiles of the outermost and adjacent outer layers of the conductor in this embodiment of the invention are shown. Detailed Implementation

[0075] To better understand this invention, the following description, in conjunction with the accompanying drawings and examples, will further illustrate the invention.

[0076] To make the objectives, technical solutions, and advantages of the embodiments of the present invention clearer, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, not all embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those skilled in the art without creative effort are within the scope of protection of the present invention.

[0077] To address the problem that the post-processing of finite element analysis of conductor strand deformation cannot directly yield the cross-sectional strand spacing and angle, leading to difficulties in identifying loose and scattered strands, this embodiment provides a method for identifying loose and scattered strands in overhead transmission line conductors. This method is applicable to identifying deformed conductors, determining the cross-sectional strand spacing and angle, and thus identifying the location of loose and / or scattered strands.

[0078] In this embodiment, as Figure 4 As shown in the embodiment of the present invention, a method for identifying loose strands and scattered strands in overhead transmission line conductors includes:

[0079] S1 calculates the spatial coordinates of points on the cross-sectional profile of each layer of the conductor based on the given spatial coordinates of the conductor strand nodes;

[0080] S2 calculates the spacing between adjacent strands and the included angle between adjacent outer strands based on the spatial coordinates of points on the cross-sectional profile of each strand layer.

[0081] S3 determines the location where loosening and / or scattering of strands occurs based on the spacing between adjacent strands corresponding to the given angle and the included angle between adjacent strands in the outer layer.

[0082] In this embodiment, S1 can be implemented using the following steps:

[0083] S101 Based on the given spatial coordinates of the strand nodes of the conductor, calculate the spatial coordinates of the contour points of each layer of the conductor on any cross section using interpolation in a spatial rectangular coordinate system;

[0084] S102 Based on the spatial coordinates of the contour points of each layer of strands on the cross section, the adjacent contour points of the same layer of strands are interpolated using an Archimedean spiral to obtain the interpolation curve between all adjacent contour points of the same layer of strands on the cross section and the range of the curve angle corresponding to the interpolation curve.

[0085] S103 uses all the curve angle ranges and the interpolation curves corresponding to each curve angle range to determine the spatial coordinates of the interpolation points corresponding to any angle on the cross-sectional profile of each layer of the conductor.

[0086] The points include contour points and interpolation points.

[0087] In this embodiment, S101 can be implemented through the following steps:

[0088] Instantiate a pre-constructed spatial line parametric equation based on the given spatial coordinates of the conductor strand nodes;

[0089] The spatial coordinates of the intersection points of the cross section with the outer layer and adjacent outer layer strands are obtained based on the arbitrary cross section and the instantiated spatial linear parametric equation.

[0090] Based on the spatial coordinates of the intersection points of the cross section and the outer layer and adjacent outer layer strands, the spatial coordinates of the contour points of the outer layer and adjacent outer layer strands on the cross section are constructed.

[0091] The spatial line parametric equation is constructed based on the spatial coordinates of two adjacent line nodes on the same layer.

[0092] In one embodiment, step S101, which calculates the spatial coordinates of the contour points of each layer of the conductor on any cross section using interpolation in a spatial rectangular coordinate system based on the given spatial coordinates of the conductor strand nodes, specifically includes:

[0093] (1) Description of the spatial location of the strand nodes of each layer of conductor

[0094] Select a segment of conductor after deformation under stress, and establish a spatial rectangular coordinate system O-xyz with the end node of the conductor's central strand as the origin O. The line connecting the beginning and end points of the conductor's central strand is the x-axis, and a direction perpendicular to the x-axis of the conductor's cross-section is designated as the y-axis. Any node P on the nth strand of a certain layer of the conductor... i n coordinates (x) i n y i n , z i n ), where n represents the stock line number of that layer, and i represents the stock line node number, such as Figure 5 As shown.

[0095] (2) Calculation of conductor strand interpolation

[0096] To analyze the strand profile at a certain axial cross-section of the conductor, take cross-section S. j The cross section is perpendicular to the x-axis, and the equation of the cross section is x = x j .like Figure 6 As shown. To obtain the profile of the cross-section strands, it is necessary to calculate the intersection points of the cross-section and each layer of strands. The intersection points of the cross-section and each layer of strands are generally located between the nodes of the strands. Here, linear interpolation is used to calculate the intersection point positions.

[0097] In this embodiment, the intersection point of the cross section and the strand is calculated by strand interpolation, thus forming the cross section S of different strand layers. j The contour points include:

[0098] The nth strand of a certain layer of the conductor and its cross-section S j The intersection point Q j n Located at node P of the stock line i n and P n i+1 Between, such as Figure 7 As shown. P i n The coordinates of the point are (x i n y i n , z i n ), P n i+1The coordinates of the point are (x n i+1 y n i+1 , z n i+1 ). Passing through the thread node P i n and P n i+1 The parametric equation of a straight line in space is:

[0099]

[0100] In the formula, t is a parameter, specifically P i n and P n i+1 From point (x, y, z) on a straight line in space to P i n The distance between P and i n To P n i+1 The ratio of lengths, t∈[0,1].

[0101] Given cross section S j Position x = x j Substituting into equation (1) yields the strand node P. i n and P n i+1 The intersection point Q between them j n (x j y j , z j Similarly, the cross-section S can be obtained. j The intersections of different layers of strands with the conductor, based on the intersections of the cross-sections with the strands, constitute the cross-sections S of different layers of strands. j Outline points such as Figure 8 As shown.

[0102] In the above process, the contour points of each strand section are obtained by linear interpolation based on the nodes at both ends of the strand unit where the contour points are located. The method is simple and meets the accuracy requirements.

[0103] In this embodiment, S102 can be implemented through the following steps:

[0104] Based on the spatial coordinates of the contour points of each layer of strands on the cross section, the spiral radius of all contour points on each layer of strands and the center point of the cross section of the layer of strands are obtained by using the spiral radius formula and the rotation angle formula, respectively.

[0105] Based on the spiral radius of all contour points on each layer of strands and the center point of the cross section of the layer of strands, as well as the rotation angle between all contour points and the horizontal coordinate axis, the adjacent contour points of the same layer of strands are interpolated using an Archimedean spiral to obtain the interpolation curve between all adjacent contour points of the same layer of strands on the cross section.

[0106] The difference in rotation angle between adjacent contour points is taken as the range of the curve angle corresponding to the interpolation curve between the adjacent contour points.

[0107] Since the loose strands of the conductor are mainly determined by the spacing between adjacent strands of the outer layer and the adjacent outer layer, in order to obtain the spacing between adjacent strands, the adjacent contour points of the same layer of strands are interpolated using an Archimedean spiral.

[0108] Interpolation calculations are performed using a planar Archimedean spiral between adjacent contour points of the same layer of strands, ensuring that the centers of the interpolation curves of the strands between adjacent layers are consistent. This facilitates the calculation of the gaps and angles between strands in the layers, providing an effective calculation method for identifying loose strands and scattered strands in the conductor cross-section.

[0109] In one embodiment, S102 specifically includes:

[0110] Take the above-mentioned cross-section S of the strand. j The yoz plane, parallel to the spatial rectangular coordinate system O-xyz, is as follows: Figure 9 As shown. Section S j Intersection point O with the center strand of the conductor j coordinates (x) j 0 y j 0 , z j 0 ), any contour point Q on the cross section j (x, y, z), then the corresponding spiral radius r is

[0111]

[0112] From the y-axis counterclockwise to O j Q j The rotation angle θ (θ∈[0,2π)) is

[0113]

[0114] The contour points are obtained through line interpolation calculation. and The coordinates of the two points are represented as (x) j 0 y n Qj , z n Qj ) and (xj 0 y n+1 Qj , z n+1 Qj Substituting these equations into equations (2) and (3), we obtain the corresponding helical radii and helical angles as follows: and The contour points are obtained from the Archimedean spiral. and The parametric equations for the two endpoints of the contour line are as follows:

[0115]

[0116]

[0117] Equation (4) is the cross section S j Centered on the intersection of the center line and the cross section, from point... Rotate counterclockwise to The interpolation curve, in Any contour interpolation point can be obtained.

[0118] Specifically, when the contour points are located at the maximum and minimum values ​​of the strand θ in that layer, such as Figure 10 As shown. Let the number of strands in this layer be N, and calculate from point... Rotate counterclockwise to When using a spiral interpolation curve, The corresponding angle θ should be That is, the range of values ​​for the included angle of the curve.

[0119] In this embodiment, S103 can be implemented through the following steps:

[0120] Determine the range of the curve angles corresponding to any given angle value;

[0121] Based on the interpolation curve corresponding to the range of the curve angle, determine the spatial coordinates of the outer interpolation point corresponding to the angle and the spatial coordinates of the adjacent outer interpolation point.

[0122] In one implementation, the arbitrary included angle can be a specific angle specified by the user, or it can be a method of dividing the angle specified by the user, such as dividing the cross section to be analyzed into several equal parts.

[0123] In this embodiment, S2 can be implemented through the following steps:

[0124] S201 determines the corresponding range of the included angle of the curve based on the given angle value;

[0125] S202 determines the spatial coordinates of the outer interpolation point and the spatial coordinates of the adjacent outer interpolation point based on the interpolation curve corresponding to the range of the curve angle;

[0126] S203 uses the spiral radius formula to obtain the spacing between adjacent strands corresponding to the given angle based on the spatial coordinates of the outer interpolation point and the spatial coordinates of the adjacent outer interpolation point.

[0127] S204 determines the included angle between adjacent outer strands based on the spatial coordinates of the contour points on the outer contour of the strand cross section.

[0128] In this embodiment, S203 can be implemented through the following steps:

[0129] S2031 calculates the helix radius between the outer interpolation point and the center point of the strand section based on the spatial coordinates of the outer interpolation point at a given angle using the helix radius formula;

[0130] S2032 calculates the helical radius between the adjacent outer layer interpolation point and the center point of the strand cross section based on the spatial coordinates of the adjacent outer layer interpolation point at the given angle using the helical radius formula;

[0131] S2033 determines the spacing between adjacent strands corresponding to the given angle based on the helix radius between the outer interpolation point and the center point of the strand cross-section and the helix radius between the adjacent outer interpolation point and the center point of the strand cross-section.

[0132] In this embodiment, S3 can be implemented through the following steps:

[0133] S301 Based on the spacing and diameter of adjacent strands corresponding to the given angle, the loosening coefficient corresponding to the given angle is obtained;

[0134] S302 determines whether slack has occurred at the position corresponding to the given angle based on the relationship between the slack coefficient and the slack discrimination coefficient corresponding to the given angle.

[0135] S303 obtains the strand dispersion coefficient between contour points based on the included angle between adjacent outer strands and the average included angle between the adjacent outer strands and the line connecting the center point of the cross section.

[0136] S304 determines the location of the breakup based on the relationship between the breakup coefficient and the breakup discrimination coefficient between the contour points.

[0137] In one implementation, S3 specifically includes:

[0138] Using the above cross-sectional profile interpolation curve, the spacing between the outer layer and adjacent outer layer strands at any angle θ within the cross-section can be calculated, such as... Figure 11As shown, the loose strands are then judged according to formula (5).

[0139] The formula for identifying loose thighs is:

[0140]

[0141] In the formula, r and r′ are the distances from the interpolation points of the outer layer and the adjacent outer layer to the center point of the cross section, respectively; d is the diameter of the strand; k1 is the slack strand discrimination coefficient; This is the slack stock coefficient.

[0142] According to equation (3), the outer contour point Q of the cross section can be obtained. j Corresponding angle θ Qj Then the formula for determining the cross-section of a strand is:

[0143]

[0144] In the formula, N is the number of strands in that layer; The average angle between the lines connecting the outermost adjacent strands and the center point of the cross section. k2 is the discrimination coefficient for scattered stocks; or This is the coefficient for scattered shares.

[0145] Once the conductor is selected, given the coordinates of the conductor strand nodes and the strand diameter d, the arbitrary cross-section S of the conductor can be obtained using the technical solution provided in this embodiment. j The spatial coordinates (x, y, z) of the profile interpolation point, the distance r from the center of the section, and the included angle θ can be used to determine the loose strands and scattered strands of the conductor by equations (5) and (6), and the specific locations where loose strands and scattered strands occur can also be obtained.

[0146] The overhead conductor loose strand and scattered strand discrimination calculation method proposed in this invention calculates the spatial coordinates of the outer layer and adjacent outer layer strand cross-section contour points of the conductor using interpolation based on the given spatial coordinates of the conductor strand nodes; calculates the angle in the cross-section coordinate system where the contour point is located and the helix radius between the contour point and the cross-section center based on the spatial coordinates of the contour points of each layer of strand cross-sections, and further calculates the interpolation curve parameter equation between adjacent contour points of the outer layer and adjacent outer layer strands; based on the above interpolation curve parameter equation between the cross-section contour points, calculates the helix radius between the outer layer and adjacent outer layer interpolation points and the cross-section center point at a given angle within the conductor cross-section, and uses the loose strand discrimination formula to determine whether loose strands have occurred and their location; based on the angle in the cross-section coordinate system where the outer layer contour points of the conductor cross-section are located, uses the scattered strand discrimination formula to determine whether scattered strands have occurred in the conductor cross-section and their location. The above process uses Archimedes' spiral for interpolation to ensure that the interpolation curves of adjacent strands are aligned, which facilitates the calculation of the inter-strand gap and angle. This provides an effective calculation method for identifying loose and scattered strands in conductor cross-sections and solves the problem that the post-processing of finite element analysis of conductor strand deformation cannot directly obtain the strand spacing and angle, which leads to difficulties in identifying loose and scattered strands.

[0147] It should be noted that although the steps in the above embodiments are described in a specific order, those skilled in the art will understand that in order to achieve the effects of the present invention, different steps do not necessarily have to be executed in such an order. They can be executed simultaneously (in parallel) or in other orders, and these variations are all within the scope of protection of the present invention.

[0148] Based on the above solution, this invention provides an application scenario of an embodiment of the technical solution of this invention. Taking the JL1 / G3A-1250 / 70-76 / 7 steel-cored aluminum stranded wire commonly used in UHVDC transmission lines, the outermost and adjacent outermost strand node positions of the conductor beam element model are obtained through finite element analysis. The conductor cross-section position is selected, and the outermost and adjacent outermost layer contour curves of the cross-section can be obtained through the calculation method of this invention. The interlayer loosening coefficient at each point of the cross-section is calculated, and the loosening condition of the conductor strands is determined according to the loosening discrimination coefficient k1. Figure 12 As shown, the specific process includes:

[0149] (1) Input the coordinates of the center strand of the conductor and the nodes of the outer and adjacent outer strands, and convert them to a spatial rectangular coordinate system O-xyz with one end node of the center strand of the conductor at the origin O and the other end node located in the positive x-axis direction.

[0150] (2) Select the cross-sectional position of the loose strand of the conductor to be calculated along the direction perpendicular to the x-axis of the conductor, and calculate the intersection of the cross-section with the outer layer and adjacent outer layer strands to form the cross-sectional profile points of different layers of strands.

[0151] (3) Calculate the interpolation curves of the outer and adjacent outer cross sections of the conductor based on the strand profile points.

[0152] (4) Calculate the interlayer strand loosening coefficient at different positions of the cross section based on the outer layer and adjacent outer layer contour interpolation curves, and calculate the cross section strand dispersion coefficient based on the outer layer contour point angle.

[0153] (5) Select the loose strand discrimination coefficient k1 and the scattered strand discrimination coefficient k2, and compare them with the loose strand coefficient and scattered strand coefficient of the interlayer strand at different positions of the cross section to obtain the results of loose strand and scattered strand of the cross section.

[0154] Further, step (1) specifically involves: selecting a segment of the conductor after deformation under stress, establishing a spatial rectangular coordinate system O-xyz with the end node of the conductor's central strand as the origin O, the line connecting the beginning and end points of the conductor's central strand as the x-axis, and specifying a direction perpendicular to the x-axis of the conductor's cross-section as the y-axis. Any node P on the nth strand of a certain layer of the conductor... i n coordinates (x) i n y i n , z i n ), where n represents the stock line number of this layer, and i represents the stock line node number.

[0155] Furthermore, step (2) specifically involves: for any conductor cross-section S selected along the direction perpendicular to the x-axis of the conductor... j The equation of the cross section is x = x j (j represents the section number); Section S j The intersection points with any line are calculated using linear interpolation.

[0156] Accordingly, the linear interpolation calculation method is specifically as follows: let the nth strand of a certain layer of the conductor and the cross-section S... j The intersection point Q j n Located at node P of the stock line i n and P n i+1 Between, passing through the strand node P i n (x i n y i n , z i n ) and P n i+1 (x n i+1 y n i+1 , zn i+1 The parametric equation of a straight line in space is:

[0157]

[0158] In the formula, t∈[0,1]. Given the cross section S... j Position x = x j Substituting into equation (1), we obtain the strand node P. i n and P n i+1 The intersection point Q between them j n (x j y j , z j The intersection points of the cross section and each layer of strands are obtained through the above strand interpolation calculation, forming the cross section S of different layers of strands. j The outline points.

[0159] Furthermore, step (3) specifically involves: interpolating adjacent contour points of the same layer of strand cross-section using an Archimedean spiral.

[0160] Accordingly, the Archimedes spiral interpolation calculation method is as follows: take the above-mentioned cross-section S of the strand. j The yoz plane is parallel to the spatial rectangular coordinate system O-xyz. Section S j Intersection point O with the center strand of the conductor j coordinates (x) j 0 y j 0 , z j 0 ), any contour point Q on the cross section j (x, y, z), then the corresponding spiral radius r is

[0161]

[0162] From the y-axis counterclockwise to O j Q j The rotation angle θ (θ∈[0,2π)) is

[0163]

[0164] The contour points are obtained through line interpolation calculation. and The coordinates of the two points are represented as (x) j 0 y n Qj , z n Qj ) and (xj 0 y n+1 Qj , z n+1 Qj Substituting these equations into equations (2) and (3), we obtain the corresponding spiral radii and included angles as follows: and The contour points are obtained from the Archimedean spiral. and Parametric equations for the two endpoints of the contour line

[0165]

[0166]

[0167] Equation (4) is the cross section S j Centered on the intersection of the center line and the cross section, from point... Rotate counterclockwise to The interpolation curve, in Any contour interpolation point can be obtained.

[0168] Specifically, when the contour points are located at the maximum and minimum values ​​of the strand θ in that layer, let the number of strands in that layer be N, and calculate the value of the points. Rotate counterclockwise to When using a spiral interpolation curve, The corresponding angle θ should be Right now

[0169] Further, step (4) specifically involves: calculating the distances r and r′ from any interpolation point in the outer layer and adjacent outer layer to the center point of the cross section using the cross-sectional profile point interpolation curve, respectively. The pine branch coefficient was calculated.

[0170] According to equation (3), the outer contour point Q of the cross section can be obtained. j Corresponding angle θ Qj ,Depend on (when 1≤n≤N-1) or (When n=N) Calculate the strand coefficient between different contour points of the cross section, where N is the number of strands in that layer; The angle between the line connecting the adjacent strands of this layer and the center point of the cross section is the average angle.

[0171] Furthermore, step (5) specifically involves: selecting the loosening discriminant coefficient k1 and comparing it with the loosening coefficient calculated above; when... At that time, the corresponding cross-section of the conductor experienced a loosening of the strand.

[0172] Select the strand discrimination coefficient k2 and compare it with the previously calculated loose strand coefficient. When the following formula is satisfied, strands occur at the corresponding cross-section of the conductor.

[0173]

[0174] like Figure 13 As shown, the outermost and adjacent outermost layer contour curves of a certain cross-section of the conductor (x = 835.40 mm) are obtained through the calculation method of this invention. Taking the loose strand discrimination coefficient k1 = 1.5, the location results of points with a loose strand coefficient greater than 1.5 in the outermost and adjacent outermost layer cross-sections are shown in Table 1.

[0175] Table 1 Results of the location of loose strands in the cross section

[0176]

[0177] Similarly, the outermost strand cross-section profile point position is obtained by the calculation method provided in this embodiment, the outer strand dispersion coefficient is calculated, and then the dispersion condition of the conductor is determined according to the dispersion discrimination coefficient k2.

[0178] As can be seen from this embodiment, the present invention can calculate the cross-sectional profile of different layers of conductors based on the spatial coordinates of conductor strand nodes, obtain the loose strand coefficient and the scattered strand coefficient between adjacent layers, and determine the location and result of loose strands and scattered strands in the conductor.

[0179] Based on the same inventive concept, this invention also provides a system for identifying loose and scattered strands in overhead transmission line conductors, comprising:

[0180] The interpolation module is used to calculate the spatial coordinates of points on the cross-sectional profile of each layer of the conductor based on the given spatial coordinates of the conductor strand nodes.

[0181] The calculation module is used to calculate the spacing between adjacent strands and the included angle between adjacent strands in the outer layer corresponding to a given angle, based on the spatial coordinates of points on the cross-sectional profile of each strand.

[0182] The discrimination module is used to determine the location of loosening and / or scattering of strands based on the spacing between adjacent strands corresponding to the given angle and the included angle between adjacent strands in the outer layer.

[0183] In this embodiment, the interpolation module includes:

[0184] The first interpolation submodule is used to calculate the spatial coordinates of the contour points of each layer of the conductor on any cross section in a spatial rectangular coordinate system based on the given spatial coordinates of the conductor strand nodes.

[0185] The second interpolation submodule is used to interpolate adjacent contour points of the same layer of strands using an Archimedean spiral based on the spatial coordinates of the contour points of each layer of strands on the cross section, so as to obtain the interpolation curve between all adjacent contour points of the same layer of strands on the cross section and the range of the curve angle corresponding to the interpolation curve.

[0186] The determination submodule is used to determine the spatial coordinates of the interpolation points corresponding to any angle on the cross-sectional profile of each layer of the conductor using all the curve angle ranges and the interpolation curves corresponding to each curve angle range.

[0187] The points include contour points and interpolation points.

[0188] In this embodiment, the first interpolation submodule is specifically used for:

[0189] Instantiate a pre-constructed spatial line parametric equation based on the given spatial coordinates of the conductor strand nodes;

[0190] The spatial coordinates of the intersection points of the cross section with the outer layer and adjacent outer layer strands are obtained based on the arbitrary cross section and the instantiated spatial linear parametric equation.

[0191] Based on the spatial coordinates of the intersection points of the cross section and the outer layer and adjacent outer layer strands, the spatial coordinates of the contour points of the outer layer and adjacent outer layer strands on the cross section are constructed.

[0192] The spatial line parametric equation is constructed based on the spatial coordinates of two adjacent line nodes on the same layer.

[0193] In this embodiment, the second interpolation submodule is specifically used for:

[0194] Based on the spatial coordinates of the contour points of each layer of strands on the cross section, the spiral radius of all contour points on each layer of strands and the center point of the cross section of the layer of strands are obtained by using the spiral radius formula and the rotation angle formula, respectively.

[0195] Based on the spiral radius of all contour points on each layer of strands and the center point of the cross section of the layer of strands, as well as the rotation angle between all contour points and the horizontal coordinate axis, the adjacent contour points of the same layer of strands are interpolated using an Archimedean spiral to obtain the interpolation curve between all adjacent contour points of the same layer of strands on the cross section.

[0196] The difference in rotation angle between adjacent contour points is taken as the range of the curve angle corresponding to the interpolation curve between the adjacent contour points.

[0197] In this embodiment, the calculation module is specifically used for:

[0198] Determine the range of the curve's included angle based on the given angle value;

[0199] Based on the interpolation curve corresponding to the range of the curve angle, determine the spatial coordinates of the outer interpolation point and the spatial coordinates of the adjacent outer interpolation point corresponding to the given angle;

[0200] The spacing between adjacent strands corresponding to the given angle is obtained by using the spiral radius formula based on the spatial coordinates of the outer interpolation point and the spatial coordinates of the adjacent outer interpolation point.

[0201] Based on the spatial coordinates of the contour points on the outer contour of the strand cross section, the included angle between adjacent strands in the outer layer is determined.

[0202] In this embodiment, the discrimination module is specifically used for:

[0203] Based on the spacing and diameter of adjacent strands corresponding to the given angle, the loosening coefficient corresponding to the given angle is obtained;

[0204] Based on the relationship between the loosening coefficient and the loosening discrimination coefficient corresponding to the given angle, determine whether loosening has occurred at the position corresponding to the given angle;

[0205] Based on the angle between adjacent outer strands and the average angle between the line connecting the adjacent outer strands and the center point of the cross section, the strand dispersion coefficient between the contour points is obtained.

[0206] Based on the relationship between the strand dispersion coefficient and the dispersion discrimination coefficient between the contour points, the location where dispersion occurs is determined.

[0207] Those skilled in the art will understand that all or part of the processes in the method of the above embodiment of the present invention can also be implemented by a computer program instructing related hardware. The computer program can be stored in a computer-readable storage medium, and when executed by a processor, it can implement the steps of the various method embodiments described above. The computer program includes computer program code, which can be in the form of source code, object code, executable file, or some intermediate form. The computer-readable medium can include any entity or device capable of carrying the computer program code, a medium, a USB flash drive, a portable hard drive, a magnetic disk, an optical disk, a computer memory, a read-only memory, a random access memory, an electrical carrier signal, a telecommunication signal, and a software distribution medium, etc. It should be noted that the content included in the computer-readable medium can be appropriately added or removed according to the requirements of legislation and patent practice in the jurisdiction. For example, in some jurisdictions, according to legislation and patent practice, the computer-readable medium does not include electrical carrier signals and telecommunication signals.

[0208] Furthermore, the present invention also provides a storage device. In one embodiment of the storage device according to the present invention, the storage device can be configured to store a program for executing the method for identifying loose and scattered strands of overhead transmission line conductors described in the above-described method embodiments. This program can be loaded and run by a processor to implement the method for identifying loose and scattered strands of overhead transmission line conductors. For ease of explanation, only the parts related to the embodiments of the present invention are shown; for specific technical details not disclosed, please refer to the method section of the embodiments of the present invention. The storage device can be a storage device device comprising various electronic devices. Optionally, in the embodiments of the present invention, the storage is a non-transitory computer-readable storage medium.

[0209] Furthermore, the present invention also provides a control device. In one embodiment of the control device according to the present invention, the control device includes a processor and a storage device. The storage device can be configured to store a program for executing the method for identifying loose and scattered strands of overhead transmission line conductors in the above-described method embodiments. The processor can be configured to execute the program in the storage device, which includes, but is not limited to, a program for executing the method for identifying loose and scattered strands of overhead transmission line conductors in the above-described method embodiments. For ease of explanation, only the parts related to the embodiments of the present invention are shown; for specific technical details not disclosed, please refer to the method section of the embodiments of the present invention. This control device can be a control device device device comprising various electronic devices.

[0210] Those skilled in the art will understand that embodiments of this application can be provided as methods, systems, or computer program products. Therefore, this application can take the form of a completely hardware embodiment, a completely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, this application can take the form of a computer program product embodied on one or more computer-usable storage media (including but not limited to disk storage, CD-ROM, optical storage, etc.) containing computer-usable program code.

[0211] This application is described with reference to flowchart illustrations and / or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of this application. It will be understood that each block of the flowchart illustrations and / or block diagrams, and combinations of blocks in the flowchart illustrations and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, special-purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, generate instructions for implementing the flowchart... Figure 1 One or more processes and / or boxes Figure 1 A device that provides the functions specified in one or more boxes.

[0212] These computer program instructions may also be stored in a computer-readable storage medium that can direct a computer or other programmable data processing device to function in a particular manner, such that the instructions stored in the computer-readable storage medium produce an article of manufacture including instruction means, which are implemented in a process Figure 1 One or more processes and / or boxes Figure 1 The function specified in one or more boxes.

[0213] These computer program instructions may also be loaded onto a computer or other programmable data processing equipment to cause a series of operational steps to be performed on the computer or other programmable equipment to produce a computer-implemented process, thereby providing instructions that execute on the computer or other programmable equipment for implementing the process. Figure 1 One or more processes and / or boxes Figure 1 The steps of the function specified in one or more boxes.

[0214] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention and not to limit it. Although the present invention has been described in detail with reference to the above embodiments, those skilled in the art should understand that modifications or equivalent substitutions can still be made to the specific implementation of the present invention. Any modifications or equivalent substitutions that do not depart from the spirit and scope of the present invention should be covered within the protection scope of the claims of the present invention.

Claims

1. A method for identifying loose and scattered strands in overhead transmission line conductors, characterized in that, include: Calculate the spatial coordinates of points on the cross-sectional profile of each layer of the conductor based on the given spatial coordinates of the conductor strand nodes; Calculate the spacing between adjacent strands and the included angle between adjacent outer strands corresponding to a given angle based on the spatial coordinates of points on the cross-sectional profile of each strand layer. Based on the spacing between adjacent strands corresponding to the given angle and the included angle between adjacent strands in the outer layer, the location where loosening and / or scattering of strands occurs is determined. The step of calculating the spatial coordinates of points on the cross-sectional profile of each layer of conductor based on the given spatial coordinates of conductor strand nodes includes: Based on the given spatial coordinates of the strand nodes of the conductor, the spatial coordinates of the contour points of each layer of the conductor on any cross section are calculated using interpolation in a spatial rectangular coordinate system. Based on the spatial coordinates of the contour points of each layer of strands on the cross section, the adjacent contour points of the same layer of strands are interpolated using an Archimedean spiral to obtain the interpolation curve between all adjacent contour points of the same layer of strands on the cross section and the range of the curve angle corresponding to the interpolation curve. Using all the ranges of the included angles of the curves and the interpolation curves corresponding to each range of the included angles of the curves, determine the spatial coordinates of the interpolation points corresponding to any included angle on the cross-sectional profile of each layer of the conductor. The step of calculating the spatial coordinates of the contour points of each layer of the conductor on any cross section using interpolation in a spatial rectangular coordinate system based on the given spatial coordinates of the conductor strand nodes includes: Instantiate a pre-constructed spatial line parametric equation based on the given spatial coordinates of the conductor strand nodes; The spatial coordinates of the intersection points of the cross section with the outer layer and adjacent outer layer strands are obtained based on the arbitrary cross section and the instantiated spatial linear parametric equation. Based on the spatial coordinates of the intersection points of the cross section and the outer layer and adjacent outer layer strands, the spatial coordinates of the contour points of the outer layer and adjacent outer layer strands on the cross section are constructed. The spatial line parametric equation is constructed based on the spatial coordinates of two adjacent line nodes in the same layer. The step of interpolating adjacent contour points of the same layer of strands on the cross section using an Archimedean spiral based on the spatial coordinates of the contour points of each layer of strands on the cross section, to obtain the interpolation curve between all adjacent contour points of the same layer of strands on the cross section and the range of the curve angles corresponding to the interpolation curves, includes: Based on the spatial coordinates of the contour points of each layer of strands on the cross section, the spiral radius of all contour points on each layer of strands and the center point of the cross section of the layer of strands are obtained by using the spiral radius formula and the rotation angle formula, respectively. Based on the spiral radius of all contour points on each layer of strands and the center point of the cross section of the layer of strands, as well as the rotation angle between all contour points and the horizontal coordinate axis, the adjacent contour points of the same layer of strands are interpolated using an Archimedean spiral to obtain the interpolation curve between all adjacent contour points of the same layer of strands on the cross section. The difference in rotation angle between adjacent contour points is taken as the range of the curve angle between the interpolation curves corresponding to the adjacent contour points. The calculation of the spacing between adjacent strands and the angle between adjacent outer strands corresponding to a given angle based on the spatial coordinates of points on the cross-sectional profile of each strand includes: Determine the range of the curve's included angle based on the given angle value; Based on the interpolation curve corresponding to the range of the curve angle, determine the spatial coordinates of the outer interpolation point and the spatial coordinates of the adjacent outer interpolation point corresponding to the given angle; The spacing between adjacent strands corresponding to the given angle is obtained by using the spiral radius formula based on the spatial coordinates of the outer interpolation point and the spatial coordinates of the adjacent outer interpolation point. Based on the spatial coordinates of the contour points on the outer contour of the strand cross section, determine the included angle between adjacent outer strands; The determination of the location of loosening and / or scattering of strands based on the spacing between adjacent strands corresponding to the given angle and the included angle between adjacent strands in the outer layer includes: Based on the spacing and diameter of adjacent strands corresponding to the given angle, the loosening coefficient corresponding to the given angle is obtained; Based on the relationship between the loosening coefficient and the loosening discrimination coefficient corresponding to the given angle, determine whether loosening has occurred at the position corresponding to the given angle; Based on the angle between adjacent outer strands and the average angle between the line connecting the adjacent outer strands and the center point of the cross section, the strand dispersion coefficient between the contour points is obtained. Based on the relationship between the strand dispersion coefficient and the dispersion discrimination coefficient between the contour points, the location where dispersion occurs is determined.

2. The discrimination method as described in claim 1, characterized in that, The parametric equation of the spatial straight line is shown in the following equation: In the formula: ( x, y, z ) is the node of the stock line. P i n and stock line nodes P n i+1 any contour point between Q j Spatial coordinates; ( x i n , y i n , z i n ) is the node of the stock line. P i n The spatial coordinates of the nodes; x n i+1 , y n i+1 , z n i+1 ) is the node of the stock line. P n i+1 The spatial coordinates of the nodes; n This refers to the stock number of this layer; i For the stock line node number; j Section number; t For parameters and t ∈[0,1].

3. The discrimination method as described in claim 1, characterized in that, The formula for the rotation angle is as follows: In the formula: From y The axis is counterclockwise to O j Q j The rotation angle; Center point of cross section O j The spatial coordinates are ( x j 0 , y j 0 , z j 0 (), y , z ( ) is a cross section S j any point on the upper contour Q j Spatial coordinates.

4. The discrimination method as described in claim 3, characterized in that, The parametric equation of the interpolation curve is shown in the following equation: In the formula: ( x, y, z ( ) is a cross section S j any point on the upper contour Q j Spatial coordinates; cross section S j Upper n Contour points The spatial coordinates are ( x j 0 , y n Qj , z n Qj );section S j Upper n +1 contour point The spatial coordinates are ( x j 0 , y n+1 Qj , z n+1 Qj ); cross section S j Upper n Contour points and the center point of the cross section O j The spiral radius; cross section S j Upper n +1 contour point and the center point of the cross section O j The spiral radius; From y The axis is counterclockwise to O j The rotation angle; From y The axis is counterclockwise to O j The rotation angle; θ From y The axis is counterclockwise to O j Q j rotation angle, θ ∈[0,2π).

5. The discrimination method as described in claim 1, characterized in that, The parametric equation of the interpolation curve is also shown in the following equation: In the formula: ( x, y, z ( ) is a cross section S j any point on the upper contour Q j Spatial coordinates; cross section S j Upper n Contour points The spatial coordinates are ( x j 0 , y n Qj , z n Qj );section S j Upper n +1 contour point The spatial coordinates are ( x j 0 , y n+1 Qj , z n+1 Qj ); cross section S j Upper n Contour points and the center point of the cross section O j The spiral radius; cross section S j Upper n +1 contour point and the center point of the cross section O j The spiral radius; From y The axis is counterclockwise to O j The rotation angle; From y The axis is counterclockwise to O j The rotation angle; θ From y The axis is counterclockwise to O j Q j rotation angle, θ ∈[0,2π).

6. The discrimination method as described in claim 1, characterized in that, The step of obtaining the spacing between adjacent strands corresponding to the given angle using the spiral radius formula based on the spatial coordinates of the outer interpolation point corresponding to the given angle and the spatial coordinates of the adjacent outer interpolation point includes: The helix radius between the outer interpolation point and the center point of the strand section is calculated using the helix radius formula based on the spatial coordinates of the outer interpolation point at a given angle. The helix radius between the adjacent outer layer interpolation point and the center point of the strand cross section is calculated using the helix radius formula based on the spatial coordinates of the adjacent outer layer interpolation point at the given angle. The spacing between adjacent strands corresponding to the given angle is determined based on the helix radius between the outer interpolation point and the center point of the strand cross section and the helix radius between the adjacent outer interpolation point and the center point of the strand cross section.

7. The discrimination method as described in claim 1, characterized in that, The formula for the helix radius is as follows: In the formula: r cross section S j any point on the upper contour Q j ( x, y, z ) and the center point of the cross section O j helix radius; cross section S j Intersection with the central stock line O j The spatial coordinates are ( x j 0 , y j 0 , z j 0 ).

8. A system for identifying loose and scattered strands in overhead transmission line conductors, used in the method described in claim 1, characterized in that, include: The interpolation module is used to calculate the spatial coordinates of points on the cross-sectional profile of each layer of the conductor based on the given spatial coordinates of the conductor strand nodes. The calculation module is used to calculate the spacing between adjacent strands and the included angle between adjacent strands in the outer layer corresponding to a given angle, based on the spatial coordinates of points on the cross-sectional profile of each strand. The discrimination module is used to determine the location of loosening and / or scattering of strands based on the spacing between adjacent strands corresponding to the given angle and the included angle between adjacent strands in the outer layer.

9. The discrimination system as described in claim 8, characterized in that, The interpolation module includes: The first interpolation submodule is used to calculate the spatial coordinates of the contour points of each layer of the conductor on any cross section in a spatial rectangular coordinate system based on the given spatial coordinates of the conductor strand nodes. The second interpolation submodule is used to interpolate adjacent contour points of the same layer of strands using an Archimedean spiral based on the spatial coordinates of the contour points of each layer of strands on the cross section, so as to obtain the interpolation curve between all adjacent contour points of the same layer of strands on the cross section and the range of the curve angle corresponding to the interpolation curve. The determination submodule is used to determine the spatial coordinates of the interpolation points corresponding to any angle on the cross-sectional profile of each layer of the conductor by utilizing all the angle ranges of the curves and the interpolation curves corresponding to each angle range.

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