An iced conductor galloping test method, system, device and storage medium
By constructing an icing conductor model using 3D printing and nonlinear dynamics algorithms, and combining it with image data processing, the problem of high-cost wind tunnel experiments was solved, achieving low-cost and efficient detection of icing conductor galloping.
Patent Information
- Authority / Receiving Office
- CN · China
- Patent Type
- Applications(China)
- Current Assignee / Owner
- 이너 몽골리아 일렉트릭 파워 그룹 컴퍼니 리미티드 이너 몽골리아 일렉트릭 파워 리서치 인스티튜트 브랜치
- Filing Date
- 2026-01-30
- Publication Date
- 2026-06-05
AI Technical Summary
Existing technologies require large wind tunnel laboratories to detect power transmission line galloping, which is costly and has high site requirements, and makes it difficult to effectively predict whether galloping will occur and its severity.
A test model of an icing conductor was constructed using 3D printing technology. Aerodynamic data was processed using a nonlinear dynamics sparse identification algorithm to calculate the dynamic parameters of the icing conductor, including lift coefficient, drag coefficient, and torque coefficient. High-speed cameras were used to collect galloping image data, and the aerodynamic forces were inversely derived by combining modal superposition method and nonlinear dynamic equations.
It reduces experimental costs, improves the reliability and scientific validity of experimental results, can accurately predict the dynamic characteristics of ice-covered conductor galloping, and reduces safety hazards to actual transmission lines.
Smart Images
Figure CN122154526A_ABST
Abstract
Description
Technical Field
[0001] This invention relates to the field of transmission line galloping detection technology, and in particular to a method, system, equipment and storage medium for galloping testing of icy conductors. Background Technology
[0002] With the continuous advancement of my country's modernization, the country's power grid engineering has grown increasingly robust. In cold northern regions, irregular ice layers easily form on transmission lines when temperatures are low, making them susceptible to wind-induced galloping. Galloping is a common low-frequency, large-amplitude self-excited vibration phenomenon on overhead transmission lines, typically occurring when conductors are covered in ice or frost and then subjected to airflow. When the amplitude of the transmission line's vibration is large and the galloping duration is long, it can seriously affect the safe operation of the line. First, galloping can cause adjacent conductors to collide, triggering flashovers or even short circuits, resulting in line outages. Second, conductors and fittings are prone to fatigue damage during continuous, large-amplitude oscillations, which can lead to conductor breakage or fitting detachment in severe cases. Third, excessive galloping force can also be transmitted to towers and foundations, causing structural damage or even tower collapse. Furthermore, galloping increases the difficulty of inspection and maintenance, and operational costs. Therefore, galloping is considered one of the most dangerous forms of vibration in overhead transmission lines, and effective prevention and control measures must be implemented.
[0003] To address this issue, the traditional measurement method currently used involves conducting experiments on transmission line segments in a wind tunnel laboratory to obtain the aerodynamic coefficients of the transmission line segments under specific wind speed conditions and icing models. These aerodynamic coefficients are then used to perform mechanical and galloping analyses on transmission lines used in practical applications, predicting whether galloping will occur and how severe it will be. However, this traditional measurement method has high requirements for site conditions and operating costs, with site areas ranging from tens to thousands of square meters and operating costs ranging from thousands to tens of thousands of yuan. Summary of the Invention
[0004] In view of the above-mentioned prior art, the present invention provides a method, system, device and storage medium for testing the galloping of icy conductors, which mainly solves the technical problems existing in the background art.
[0005] To achieve the above objectives, the technical solution of this invention is implemented as follows: In a first aspect, the present invention provides a method for testing the galloping of iced conductors, the method comprising the following steps: S1: Obtain the geometric data of the icy conductor to be tested; S2: Construct an icing conductor test model based on geometric data, place the icing conductor test model in a stable airflow field, and control the icing conductor test model to dance under the action of aerodynamic forces to obtain the dancing image data of the icing conductor test model. S3: Determine the aerodynamic data of the icing conductor based on the galloping image data, process the aerodynamic data using a nonlinear dynamics sparse identification algorithm, establish the nonlinear dynamic equation under the test conditions, and deduce the aerodynamic forces during the test. Calculate the dynamic parameters based on the aerodynamic forces during the test. The dynamic parameters of the icing conductor include the lift coefficient, drag coefficient, and torque coefficient, and obtain the galloping test results of the icing conductor.
[0006] As a preferred embodiment of the present invention, the geometric data of the icing conductor in step S1 includes transmission conductor model data, icing layer shape data, icing layer thickness data, and flexible deformable beam model data.
[0007] As a preferred embodiment of the present invention, step S2, which involves constructing an icing conductor test model based on geometric data, includes: Based on the transmission conductor model data, a scaled-down design was used to obtain the initial test model of the transmission conductor segment; The ice layer model is determined based on the ice layer shape data and ice layer thickness data; Based on the initial test model of the transmission conductor segment, the ice layer model, and the model data of the flexible deformable beam, the transmission conductor segment, the ice layer, and the flexible deformable beam were generated using 3D printing technology. An ice-covered conductor test model was obtained by assembling a transmission line segment, an ice layer, and a flexible deformable beam.
[0008] As a preferred embodiment of the present invention, step S3, which involves determining the aerodynamic data of the icing guide wire based on the go-go image data, includes: Obtain the displacement parameters of the icy conductor test model in each image frame of the galloping image data; The icing velocity and angular velocity of the icing conductor test model in each image frame of the gooseneck image data are determined based on the displacement parameters and the time difference between each image frame of the gooseneck image data. The aerodynamic data of the icing conductor are obtained based on the icing velocity and angular velocity.
[0009] As a preferred embodiment of the present invention, the displacement parameters of the icing conductor test model in each image frame of the gondola image data are determined using the modal superposition method, and the specific formula is as follows:
[0010] in, For different times t Below, the object is The displacement that exists in the position. The modal order is... The mode shape function is used to represent the spatial shape distribution of an object in that mode. This describes the temporal motion pattern of this mode.
[0011] As a preferred embodiment of the present invention, step S3 utilizes a nonlinear dynamics sparse identification algorithm to process aerodynamic data and establish nonlinear dynamic equations under experimental conditions to deduce the aerodynamic forces during the experimental process, including: When the icing conductor test model gallops under aerodynamic forces, the nonlinear dynamic equation in the upward direction is:
[0012] in, For the test model of the icing conductor at time The external load acting on the middle in the upward direction, air density, It is relative wind speed. For the angle of attack, The aerodynamic coefficient is for the upward direction. The diameter of the transmission line; When the icing conductor test model gallops under aerodynamic forces, the nonlinear dynamic equation in the drag direction is:
[0013] in, For the test model of the icing conductor at time The external load acting on the middle in the direction of resistance. The aerodynamic coefficient is in the direction of drag. When the icing conductor test model gallops under aerodynamic forces, the nonlinear dynamic equation in the direction of the moment is:
[0014] in, For the test model of the icing conductor at time The external load acting on the center in the direction of moment. is the aerodynamic coefficient in the direction of torque.
[0015] As a preferred embodiment of the present invention, in step S3, dynamic parameters are calculated based on the aerodynamic forces during the test. The dynamic parameters of the iced conductor include the lift coefficient, drag coefficient, and moment coefficient, to obtain the iced conductor galloping test results, including: Based on the vibration equation, the sequence data of displacement, velocity and acceleration of key points in different directions of the icing conductor test model as a function of time were calculated. Based on the sequence data and dynamic parameters under different wind attack angles, the nonlinear dynamic equations under different directions are solved inversely to obtain the corresponding lift coefficient, drag coefficient and torque coefficient, thus obtaining the test results of the ice-covered conductor galloping.
[0016] Secondly, the present invention also provides a system for testing the galloping of iced conductors, used to implement any of the above-described methods for testing the galloping of iced conductors, the system comprising: The geometry data acquisition module is used to acquire the geometry data of the icy conductor to be tested. The dancing image data acquisition module is used to construct an icing conductor test model based on geometric shape data, place the icing conductor test model in a stable airflow field, and control the icing conductor test model to dance under the action of aerodynamic force to obtain dancing image data of the icing conductor test model. The galloping test result generation module determines the aerodynamic data of the icy conductor based on the galloping image data, processes the aerodynamic data using a nonlinear dynamics sparse identification algorithm, establishes a nonlinear dynamic equation under the test conditions, and deduces the aerodynamic forces during the test. Based on the aerodynamic forces during the test, the module calculates the dynamic parameters, including the lift coefficient, drag coefficient, and torque coefficient of the icy conductor, and obtains the galloping test results of the icy conductor.
[0017] Thirdly, the present invention also provides an electronic device, the electronic device comprising: At least one processor, and a memory communicatively connected to the at least one processor, wherein the memory stores a computer program executable by the at least one processor, the computer program being executed by the at least one processor to enable the at least one processor to perform any of the above-described methods for testing the galloping of icing conductors.
[0018] Fourthly, the present invention also provides a computer-readable storage medium storing a computer program; when the computer program is executed by a processor, it implements any of the above-described methods for testing the galloping of icing conductors.
[0019] The beneficial effects of this invention are as follows: The monitoring method in this invention is based on a three-dimensional solid model obtained by 3D printing technology, and uses the icing conductor test model to calculate the dynamic parameters of the icing conductor; the dynamic parameters of the circular cross-section are calculated by external load, which greatly reduces the experimental cost compared with the common wind tunnel laboratory directly calculating the load and detecting three-dimensional motion. Attached Figure Description
[0020] Figure 1 A schematic flowchart illustrating the ice-covered conductor galloping test method provided by the present invention; Figure 2 This is a schematic diagram of the cross-sectional profiles of the ice layer and the transmission line in the ice-covered conductor test model provided by the present invention; Figure 3 A schematic diagram of the cross-sectional profile of the icing layer provided by the present invention; Figure 4The ice-covered conductor test model provided by this invention; Figure 5 This invention provides discrete point images of the galloping displacement-time history of ice-covered transmission lines. Figure 6 A schematic diagram of the on-site layout for installing a model of a transmission line with a uniform cross-section at the top of a tower; Figure 7 This is a schematic diagram of the structure of the ice-covered conductor galloping test system provided by the present invention. Detailed Implementation
[0021] The technical solution of the present invention will be further described in detail below with reference to the accompanying drawings and specific embodiments. Unless otherwise defined, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention pertains. The terminology used in this specification is for the purpose of describing particular embodiments only and is not intended to limit the invention. In the following description, the expression "some embodiments" refers to a subset of all possible embodiments; however, it should be understood that "some embodiments" can be the same subset or different subsets of all possible embodiments and can be combined with each other without conflict.
[0022] In the following description, numerous specific details are set forth in order to provide a more thorough understanding of the invention. However, it will be apparent to those skilled in the art that the invention can be practiced without one or more of these details. In other instances, certain technical features well-known in the art have not been described in order to avoid obscuring the invention.
[0023] It should be understood that the present invention can be embodied in various forms and should not be construed as being limited to the embodiments set forth herein. Rather, providing these embodiments will make the disclosure thorough and complete, and will fully convey the scope of the invention to those skilled in the art. Furthermore, the terminology used herein is intended only to describe particular embodiments and is not intended to limit the invention. When used herein, the singular forms “a,” “an,” and “the” are also intended to include the plural forms unless the context clearly indicates otherwise. It should also be understood that the terms “compose” and / or “comprising,” when used in this specification, identify the presence of the stated features, integers, steps, operations, elements, and / or components, but do not exclude the presence or addition of one or more other features, integers, steps, operations, elements, components, and / or groups. When used herein, the term “and / or” includes any and all combinations of the associated listed items.
[0024] It should also be noted that when an element is referred to as being "fixed to" another element, it can be directly attached to the other element or there may be an intervening element. When an element is referred to as being "connected to" another element, it can be directly connected to the other element or there may be an intervening element. The terms "vertical," "horizontal," "inner," "outer," "left," "right," and similar expressions used herein are for illustrative purposes only and do not represent the only possible implementation.
[0025] To fully understand this invention, a detailed structure will be presented in the following description to illustrate the technical solution proposed by this invention. Optional embodiments of the invention are described in detail below; however, in addition to these detailed descriptions, the invention may have other embodiments.
[0026] Firstly, this invention provides a method for testing the galloping of iced conductors, please refer to the attached document. Figure 1 The method includes the following steps: S1: Obtain the geometric data of the icy conductor to be tested; S2: Construct an icing conductor test model based on geometric data, place the icing conductor test model in a stable airflow field, and control the icing conductor test model to dance under the action of aerodynamic forces to obtain the dancing image data of the icing conductor test model. S3: Determine the aerodynamic data of the icing conductor based on the galloping image data, process the aerodynamic data using a nonlinear dynamics sparse identification algorithm, establish the nonlinear dynamic equation under the test conditions, and deduce the aerodynamic forces during the test. Calculate the dynamic parameters based on the aerodynamic forces during the test. The dynamic parameters of the icing conductor include the lift coefficient, drag coefficient, and torque coefficient, and obtain the galloping test results of the icing conductor.
[0027] In this embodiment, the icing conductor test model is a three-dimensional solid model made by 3D printing technology to ensure that the geometry is consistent with the actual icing conductor.
[0028] During the experiment, this invention collects galloping image data of the icy conductor test model using image recording devices set up at different observation points. The image recording devices are deployed on the conductor cross-section; in this embodiment, the image recording devices are high-speed cameras. These high-speed cameras capture video of the galloping process of the test model, obtaining galloping image data. This detection method differs from common three-dimensional detection; instead, it observes the cross-section. In this embodiment, color markings are applied to the cross-section of the provided external thin beam to generate a significant color difference, allowing the motion effect to be captured more effectively. By setting up image recording devices at different locations, the motion state from different perspectives is obtained, enabling more accurate acquisition of the displacement trajectory of the icy conductor test model.
[0029] The collected galloping image data needs to be evaluated, primarily focusing on image sharpness and the completeness of multi-view coverage. This ensures that the images can clearly capture the galloping posture of the model under different angles of attack and wind speeds, preventing distortion of subsequent data processing and analysis results due to insufficient quality of the original galloping image data. Based on the image sharpness and multi-view coverage, a first degree of certainty value corresponding to the icy conductor galloping experiment can be determined. This value is used to quantify the reliability of the galloping image data in supporting the experimental results.
[0030] Subsequently, aerodynamic data of the icy guide wire were calculated based on the galloping image data, and the dynamic parameters of the icy guide wire, including lift coefficient, drag coefficient, and moment coefficient, were further obtained. These dynamic parameters were compared with standard data or theoretical data of similar icy guide wires, and the accuracy of the parameters was judged by calculating the numerical deviation rate. The lower the deviation rate, the more the experimental results match the actual aerodynamic characteristics of the icy guide wire. Thus, a second degree of certainty corresponding to the galloping test of the icy guide wire can be determined, which reflects the reliability and accuracy of the dynamic parameters.
[0031] After obtaining the first and second degrees of certainty, the final degree of certainty can be determined by combining the two values according to pre-set calculation rules, such as weighted average, arithmetic average, or minimum value. This final degree of certainty can be used to quantify the overall reliability of the ice-covered conductor galloping test results obtained by this method, providing a reference for subsequent data analysis, test result evaluation, and related applications, thereby improving the credibility and scientific validity of the test results.
[0032] As a preferred embodiment of the present invention, the geometric data of the icing conductor in step S1 includes transmission conductor model data, icing layer shape data, icing layer thickness data, and flexible deformable beam model data.
[0033] As a preferred embodiment of the present invention, step S2, which involves constructing an icing conductor test model based on geometric data, includes: Based on the transmission conductor model data, a scaled-down design was used to obtain the initial test model of the transmission conductor segment; The ice layer model is determined based on the ice layer shape data and ice layer thickness data; Based on the initial test model of the transmission conductor segment, the ice layer model, and the model data of the flexible deformable beam, the transmission conductor segment, the ice layer, and the flexible deformable beam were generated using 3D printing technology. In this embodiment, 3D printing technology (also known as additive manufacturing) is a digital forming technology that directly constructs three-dimensional entities by layering materials. Its core principle is based on a digital model file; the three-dimensional model is sliced and then materials are layered using methods such as laser sintering and photopolymerization to ultimately form a physical object. In this embodiment, a non-contact technology is used, distinguishing the physical object from the background panel by color difference.
[0034] In a preferred embodiment of this invention, the flexible deformable beam is a thin beam. The thin beam bears the deformation, which amplifies the deformation effect and makes the measurement of dynamic parameters more convenient and accurate. The flexible deformable beam should be arranged using a resin material with strong elastic properties so that the deformation is linear.
[0035] An ice-covered conductor test model was obtained by assembling a transmission line segment, an ice layer, and a flexible deformable beam.
[0036] In this embodiment, the transmission conductor segment, icing layer, and flexible deformable beam are installed in the fixture using an elastic support system to ensure good coupling between the transmission conductor segment, icing layer, and flexible deformable beam. The stiffness parameters of the elastic support system are designed based on modal analysis to match the dynamic characteristics of the test model-support system assembly with those of the actual long-span conductor under low-order modes such as first-order vertical, horizontal bending, and torsion.
[0037] In a preferred embodiment of this invention, the transmission line segment employs a honeycomb internal structure to improve stiffness and facilitate connection with the flexible beam; the flexible deformable beam can be designed with low stiffness, enabling the icing conductor test model to generate a large displacement response under small loads, thereby amplifying vibration characteristics; see also Figure 2 In this embodiment, a transmission conductor of model LGJ-630 / 45 is selected as the analysis sample. The outer diameter of the transmission conductor of model LGJ-630 / 45 is 33.6mm. In the initial design of the test model of the transmission conductor segment, the internal structure of the conductor is optimized. Under the premise of ensuring that the size of the transmission conductor model remains unchanged, a regular hexagon is inscribed inside to facilitate connection with the external regular hexagonal deformable beam to form a coupling. On this basis, the number of layers of regular hexagons can be adjusted, thereby adjusting the size of the regular hexagons and the cross-sectional area of the transmission conductor segment model. Finally, the stiffness control of the entire transmission conductor segment is achieved. The main deformation is achieved through the external thin beam to reduce the noise interference caused by the deformation of the structure itself.
[0038] For the construction of the ice layer, the possible shapes of the ice layer include circular ice, eccentric circular ice, crescent-shaped ice, D-shaped ice and wing-shaped ice. In this embodiment, the crescent-shaped ice layer is selected as the research object. The external contour of the ice layer is generated by 3D scanning technology to provide a basic model for 3D printing. The cross-sectional area of the flexible deformable beam should be significantly smaller than that of the initial test model of the transmission conductor segment, so that the deformation effect occurs on the flexible deformable beam, thereby reducing the noise generated by the deformation of the transmission conductor model itself. To facilitate understanding by those skilled in the art, the following specific example illustrates the construction process of the icing conductor test model: The transmission line segment is 20cm long, with 3 layers of inner hexagonal voids and a thickness ratio of 0.8. Therefore, the initial diameter of the test model of the transmission line segment is 20cm. A scaled-down test was conducted compared to the actual transmission line. The material is PLA, and the mass per unit length is... The moment of inertia of a single regular hexagon is... (in (where the side length is), then Using the matrix transfer method, we can obtain the equation: "The transmission conductor segment bears the load, and the deformable slender beam undergoes dominant deformation." Since this system has only two deformable body elements, a unique solution is finally obtained. Substituting back into the frequency formula, we can obtain Therefore, the density and length of the regular hexagonal holes inside the transmission conductor segment model can be adjusted, and the length of the deformed beam can be corrected to obtain a frequency that matches the actual working conditions. The external wind load speed is air density is The icing layer used is crescent-shaped (see reference). Figure 3 ).
[0039] The load borne by the transmission conductor segment can be obtained through the matrix transfer method, so that the load and deformation can play a dominant role in different units throughout the system.
[0040] In the matrix transfer method, there are point transfer matrices and field transfer matrices: The expression for the point transfer matrix is: ; The expression for the field transfer matrix is:
[0041] The expression for a state vector is:
[0042] right , , Dimensionless transformation yields ;
[0043] in, For point transfer matrix, For the field transfer matrix, For the i-th mass, Let be the length of the i-th deformable element. Let be the elastic modulus of the i-th deformable element. The moment of inertia of the cross section of the i-th deformable element. Let i be the load and deformation state vectors for the left and right sides of the i-th deformable body. This is a lateral displacement. The slope of the curve. For bending moment, It is a lateral force.
[0044] Finally, the formula for the terminal state vector is: .
[0045] in, This is the state vector to the right of the starting boundary (position 0).
[0046] Then, using non-contact scanning technology, initial test models of transmission line segments and icing layer models were generated. Based on strength theory, a transmission line cross-section with suitable stiffness and a deformable beam capable of linear deformation were designed. See also Figure 2 Let the outer length of a single regular hexagon be *a*, and the inner length be 0.8a. Then the area of each regular hexagonal ring is... The relationship between the input layer number "n" and the number of regular hexagonal rings N is as follows: Therefore, the total area for It's clear that the total area here has a parabolic relationship with the number of input layers "n", while the area of the outer ring is... It is clear that the area of the outer ring here has a linear relationship with the number of input layers "n", therefore and There is no linear relationship, so the stiffness is set. Of course, while ensuring the number of layers, the inner layer length, that is, the internal thickness, can also be improved here. The changes in the number of layers and the thickness are all to achieve the filling of mass / stiffness, so as to obtain a model that can reach the target frequency. Finally, the icing conductor test model is completed by using 3D printing technology.
[0047] As a preferred embodiment of the present invention, step S3, which involves determining the aerodynamic data of the icing guide wire based on the go-go image data, includes: Obtain the displacement parameters of the icy conductor test model in each image frame of the galloping image data; The icing velocity and angular velocity of the icing conductor test model in each image frame of the gooseneck image data are determined based on the displacement parameters and the time difference between each image frame of the gooseneck image data. The aerodynamic data of the icing conductor are obtained based on the icing velocity and angular velocity.
[0048] For example, to facilitate understanding by those skilled in the art, the following specific example describes the process of measuring pneumatic data: First, multiple video recording devices are set up, and a color block is marked on the circular part of the connection point to create a clear color difference with the connecting material, so that the movement steps can be captured better.
[0049] Record preliminary dynamic parameters - displacement / time: The image file is 100 seconds long with a time step of 0.01 seconds. Initial wind angles of attack are set at 10°, 20°, and 30°. Using an image analysis device, the displacement and rotation angles in the entire plane are measured. Outside the ring of the color block, in the same plane, a calibration line segment is drawn. Based on the length of the calibration line segment and the outline size of the color block, a proportional analysis is performed to obtain the actual displacement and rotation angles.
[0050] In the process of calculating displacement and rotation, the modal superposition method is used to determine the displacement parameters of the icing conductor test model in each image frame of the gondola image data. The specific calculation formula is as follows:
[0051] in, For different times t Below, the object is The displacement that exists at a position; The modal order; This is the mode shape function, used to represent the spatial shape distribution of an object under this mode. For the temporal motion law of this mode, common , Let k be the length of the entire slender beam. In model measurements, because the flexible deformable beam is short and the k value is small, the linear properties are strong, so a first-order approximation is taken. However, in the analysis of real transmission lines, higher-order terms are needed to fit the nonlinearity.
[0052] Reference Figure 4The icing conductor test model is an analytical model of a beam fixed at both ends. Given that the external load is a dynamic load, the displacement of each part changes over time, with the center of the flexible deformable beam being the region of maximum displacement. According to the experimental template in this embodiment, the model is loaded, and the deformable beam bears the observable deformation within the model. Initial dynamic parameters are captured from each image frame of the galloping image data to obtain the displacement data of the icing conductor test model at various time points. Then, with time as the independent variable and displacement as the dependent variable, the data is input into PySR to obtain the equation relationship. PySR, short for Python Symbolic Regression, is a symbolic regression tool library based on genetic programming, designed to automatically discover concise and interpretable mathematical expressions from data. It generates candidate formulas by simulating biological evolution processes (such as mutation, crossover, and selection) and selects the model that best fits the data. For the vibration model of the icing conductor test model under aerodynamic forces, there will be discrete point images of the transmission conductor's galloping displacement-time history, referencing... Figure 5 The image shows the dynamic parameters output in the y-direction of the entire image at a wind angle of attack of 20°.
[0053] Depend on Figure 5 It can be seen that in the initial part of the time axis (approximately 0-30s), the displacement of the conductor is relatively small, and the fluctuation amplitude gradually increases. This is because when the wind begins to act on the conductor, the conductor needs a certain amount of time to respond to the wind excitation, gradually accumulating energy, and the vibration amplitude increases accordingly. This stage is the initiation or transition stage of the conductor's vibration. From approximately 30s until the end of the image, the conductor's galloping enters a relatively stable state, with the displacement fluctuation amplitude and period being relatively fixed. In this stage, the wind excitation on the conductor and the conductor's own dynamic characteristics reach a balance, allowing the conductor to vibrate continuously in a relatively stable mode. The vibration amplitude in the stable stage is relatively large, with the maximum displacement fluctuating between -0.8cm and 0.8cm, indicating that the wind galloping has a significant impact on the conductor. Next, the central difference method is used to calculate the displacement-time. Considering that the central difference method cannot obtain the velocity and acceleration at the initial and final moments, obtaining the dynamic parameters within a certain time is reasonable. Similarly, the intrinsic relationship between velocity-time and acceleration-time can also be obtained.
[0054] As a preferred embodiment of the present invention, step S3 utilizes a nonlinear dynamics sparse identification algorithm to process aerodynamic data and establish nonlinear dynamic equations under experimental conditions to deduce the aerodynamic forces during the experimental process, including: When the icing conductor test model gallops under aerodynamic forces, the nonlinear dynamic equation in the upward direction is:
[0055] in, For the test model of the icing conductor at time The external load acting on the middle in the upward direction, air density, It is relative wind speed. For the angle of attack, The aerodynamic coefficient is for the upward direction. The diameter of the transmission line; When the icing conductor test model gallops under aerodynamic forces, the nonlinear dynamic equation in the drag direction is:
[0056] in, For the test model of the icing conductor at time The external load acting on the middle in the direction of resistance. The aerodynamic coefficient is in the direction of drag. When the icing conductor test model gallops under aerodynamic forces, the nonlinear dynamic equation in the direction of the moment is:
[0057] in, For the test model of the icing conductor at time The external load acting on the center in the direction of moment. is the aerodynamic coefficient in the direction of torque.
[0058] As a preferred embodiment of the present invention, in step S3, dynamic parameters are calculated based on the aerodynamic forces during the test. The dynamic parameters of the iced conductor include the lift coefficient, drag coefficient, and moment coefficient, to obtain the iced conductor galloping test results, including: Based on the vibration equation, the sequence data of displacement, velocity and acceleration of key points in different directions of the icing conductor test model as a function of time were calculated. Based on the sequence data and dynamic parameters under different wind attack angles, the nonlinear dynamic equations under different directions are solved inversely to obtain the corresponding lift coefficient, drag coefficient and torque coefficient, thus obtaining the test results of the ice-covered conductor galloping.
[0059] In this embodiment, the formula for calculating the aerodynamic coefficient in the upward direction is: ; The formula for calculating the drag coefficient in the direction of resistance is: ; The formula for calculating the aerodynamic coefficient in the direction of torque is: ; in , , These are the i-th order coefficients of the lift coefficient, drag coefficient, and moment coefficient according to the Taylor expansion (where i = 1, 2, 3).
[0060] For example, taking the calculation of the aerodynamic coefficient in the upward direction as an example, according to the vibration equation: This allows us to obtain the displacement, velocity, and acceleration of the deformed slender beam at a certain point in time. For acceleration, For speed; For displacement; For external periodic loads, and All are damping coefficients. Let be the frequency; It is possible to solve the equations inversely, but by only considering the dynamic parameters at a single wind attack angle, only a single solution can be obtained. Therefore, it is necessary to obtain results under different wind attack angles. , , Then solve the internal , , Through solving, we obtain , , The relative errors of the three are 0.0375%, 0.0519%, and 0.1151%, respectively. Such errors are acceptable in actual measurements, thus yielding the final aerodynamic coefficient in the upward direction. The numerical values are as follows. The same test method is used for displacement in the z-direction and rotation within the plane.
[0061] In some alternative embodiments, refer to Figure 6 This invention can effectively measure ice-covered transmission lines on towers. The arrow indicates the direction of wind load. The model of the ice-covered transmission line segment is located above the tower on the left, and the suspended object in the center is the transmission line. For example, a transmission line model with a uniform cross-section is erected at the top of the tower, and its dynamic parameters are detected to obtain the aerodynamic parameters under the wind load condition. Then, the modal superposition method is used to add nonlinear terms to fit the motion trajectory and perform galloping analysis on the transmission line under real conditions.
[0062] Secondly, based on the same inventive concept, the present invention also provides an ice-covered conductor galloping test system for implementing any of the above-described ice-covered conductor galloping test methods. (See also...) Figure 7 The system includes: The geometry data acquisition module is used to acquire the geometry data of the icy conductor to be tested. The dancing image data acquisition module is used to construct an icing conductor test model based on geometric shape data, place the icing conductor test model in a stable airflow field, and control the icing conductor test model to dance under the action of aerodynamic force to obtain dancing image data of the icing conductor test model. The galloping test result generation module determines the aerodynamic data of the icy conductor based on the galloping image data, processes the aerodynamic data using a nonlinear dynamics sparse identification algorithm, establishes a nonlinear dynamic equation under the test conditions, and deduces the aerodynamic forces during the test. Based on the aerodynamic forces during the test, the module calculates the dynamic parameters, including the lift coefficient, drag coefficient, and torque coefficient of the icy conductor, and obtains the galloping test results of the icy conductor.
[0063] In this embodiment, the module described in this invention can also be called a unit, which refers to a series of computer program segments that can be executed by the processor of an electronic device and can perform a fixed function, and are stored in the memory of the electronic device.
[0064] The various variations and specific examples of the ice-covered conductor galloping test method provided in the above embodiments are also applicable to the ice-covered conductor galloping test system of this embodiment. Through the foregoing detailed description of the ice-covered conductor galloping test method, those skilled in the art can clearly understand the implementation method of the ice-covered conductor galloping test system in this embodiment. For the sake of brevity, it will not be described in detail here.
[0065] Thirdly, the present invention also provides an electronic device, the electronic device comprising: At least one processor, and a memory communicatively connected to the at least one processor, wherein the memory stores a computer program executable by the at least one processor, the computer program being executed by the at least one processor to enable the at least one processor to perform any of the above-described methods for testing the galloping of icing conductors.
[0066] Fourthly, the present invention also provides a computer-readable storage medium storing a computer program; when the computer program is executed by a processor, it implements any of the above-described methods for testing the galloping of icing conductors.
[0067] In some embodiments, the processor, memory, and communication interface, among other basic components, are used to load and execute a computer program stored in the memory, thereby implementing the steps of any of the described methods for testing the galloping of icing conductors. When executing the program, the electronic device can complete all operations from acquiring galloping image data, generating aerodynamic data, calculating dynamic parameters, to determining the galloping test results, and achieve a two-layer accurate qualitative evaluation and a final deterministic judgment based on image data clarity and aerodynamic parameter accuracy.
[0068] In this embodiment, the processor controls the electronic device to execute programs stored in the memory, including various computational and data processing tasks required for executing the method, managing data access and retrieval, and supporting the operation of the modules or units. The memory stores the method program and necessary temporary data; its type and specific implementation do not limit the scope of protection of this invention and can be an internal storage unit, an external storage device, or a combination of both. The communication interface enables data exchange between the electronic device and other devices or systems, but its specific type, quantity, and arrangement do not limit the implementation of this invention; network interfaces and user interfaces can be selected according to actual needs.
[0069] In this embodiment, the modules or units in the electronic device of the present invention can be implemented as software functional units, or distributed and used as independent products. When needed, these modules / units can be stored in a computer-readable storage medium, which can be any type of readable storage device, including but not limited to read-only memory, random access memory, flash memory, portable hard disk, optical disk, etc., storing a computer program that can be loaded by a processor and executed as described above for the iced conductor galloping test method. In this way, the electronic device can execute the method of the present invention without relying on specific hardware implementation.
[0070] It should be understood that the examples of electronic devices and storage media structures described are only for illustrating the implementation methods of the present invention and do not constitute a limitation on the scope of protection of the present invention. Those skilled in the art can flexibly adjust the hardware composition, module division, storage media type, or software implementation of the electronic device in conjunction with this embodiment without departing from the principles of the present invention to meet different experimental conditions and application requirements. For example, the number of processors can be increased or decreased, the memory capacity expanded, or the type and number of communication interfaces adjusted according to actual computational load and data storage requirements, without affecting the implementation of the method or the scope of protection of the present invention. Therefore, the present invention provides a versatile electronic device solution that can adapt to various implementation environments, enabling the ice-covered wire galloping test method to be reliably executed under different hardware platforms and experimental conditions.
[0071] The above are merely specific embodiments of the present invention, but the scope of protection of the present invention is not limited thereto. Any variations or substitutions that can be easily conceived by those skilled in the art within the technical scope disclosed in the present invention should be included within the scope of protection of the present invention. The scope of protection of the present invention should be determined by the scope of the claims.
Claims
1. A method for testing the galloping of icy conductors, characterized in that, The method includes the following steps: S1: Obtain the geometric data of the icy conductor to be tested; S2: Construct an icing conductor test model based on geometric data, place the icing conductor test model in a stable airflow field, and control the icing conductor test model to dance under the action of aerodynamic forces to obtain the dancing image data of the icing conductor test model. S3: Determine the aerodynamic data of the icing conductor based on the galloping image data, process the aerodynamic data using a nonlinear dynamics sparse identification algorithm, establish the nonlinear dynamic equation under the test conditions, and deduce the aerodynamic forces during the test. Calculate the dynamic parameters based on the aerodynamic forces during the test. The dynamic parameters of the icing conductor include the lift coefficient, drag coefficient, and torque coefficient, and obtain the galloping test results of the icing conductor.
2. The method for testing the galloping of icy conductors according to claim 1, characterized in that, The geometric data of the icing conductor in step S1 includes the transmission conductor model data, the icing layer shape data, the icing layer thickness data, and the flexible deformable beam model data.
3. The method for testing the galloping of icy conductors according to claim 2, characterized in that, Step S2, which involves constructing an icing conductor test model based on geometric data, includes: Based on the transmission conductor model data, a scaled-down design was used to obtain the initial test model of the transmission conductor segment; The ice layer model is determined based on the ice layer shape data and ice layer thickness data; Based on the initial test model of the transmission conductor segment, the ice layer model, and the model data of the flexible deformable beam, the transmission conductor segment, the ice layer, and the flexible deformable beam were generated using 3D printing technology. An ice-covered conductor test model was obtained by assembling a transmission line segment, an ice layer, and a flexible deformable beam.
4. The method for testing the galloping of icy conductors according to claim 3, characterized in that, The step S3, which involves determining the aerodynamic data of the icing guide wire based on the gob-like image data, includes: Obtain the displacement parameters of the icy conductor test model in each image frame of the galloping image data; The icing velocity and angular velocity of the icing conductor test model in each image frame of the gooseneck image data are determined based on the displacement parameters and the time difference between each image frame of the gooseneck image data. The aerodynamic data of the icing conductor are obtained based on the icing velocity and angular velocity.
5. The method for testing the galloping of iced conductors according to claim 4, characterized in that, The displacement parameters of the icing conductor test model in each image frame of the galloping image data were determined using the modal superposition method. The specific formula is as follows: in, For different times t Below, the object is The displacement that exists in the position. The modal order is... The mode shape function is used to represent the spatial shape distribution of an object in that mode. This describes the temporal motion pattern of this mode.
6. The method for testing the galloping of iced conductors according to claim 5, characterized in that, In step S3, a nonlinear dynamics sparse identification algorithm is used to process aerodynamic data and establish nonlinear dynamic equations under experimental conditions to deduce the aerodynamic forces during the experimental process, including: When the icing conductor test model gallops under aerodynamic forces, the nonlinear dynamic equation in the upward direction is: in, For the test model of the icing conductor at time The external load acting on the middle in the upward direction, air density, It is relative wind speed. For the angle of attack, The aerodynamic coefficient is for the upward direction. The diameter of the transmission line; When the icing conductor test model gallops under aerodynamic forces, the nonlinear dynamic equation in the drag direction is: in, For the test model of the icing conductor at time The external load acting on the middle in the direction of resistance. The aerodynamic coefficient is in the direction of drag. When the icing conductor test model gallops under aerodynamic forces, the nonlinear dynamic equation in the direction of the moment is: in, For the test model of the icing conductor at time The external load acting on the center in the direction of moment. is the aerodynamic coefficient in the direction of torque.
7. The method for testing the galloping of icy conductors according to claim 6, characterized in that, In step S3, dynamic parameters are calculated based on the aerodynamic forces during the test. The dynamic parameters of the iced conductor include the lift coefficient, drag coefficient, and moment coefficient, resulting in the iced conductor galloping test results, including: Based on the vibration equation, the sequence data of displacement, velocity and acceleration of key points in different directions of the icing conductor test model as a function of time were calculated. Based on the sequence data and dynamic parameters under different wind attack angles, the nonlinear dynamic equations under different directions are solved inversely to obtain the corresponding lift coefficient, drag coefficient and torque coefficient, thus obtaining the test results of the ice-covered conductor galloping.
8. A system for testing the galloping of icy conductors, used to implement the method for testing the galloping of icy conductors according to any one of claims 1 to 7, characterized in that, The system includes: The geometry data acquisition module is used to acquire the geometry data of the icy conductor to be tested. The dancing image data acquisition module is used to construct an icing conductor test model based on geometric shape data, place the icing conductor test model in a stable airflow field, and control the icing conductor test model to dance under the action of aerodynamic force to obtain dancing image data of the icing conductor test model. The galloping test result generation module determines the aerodynamic data of the icy conductor based on the galloping image data, processes the aerodynamic data using a nonlinear dynamics sparse identification algorithm, establishes a nonlinear dynamic equation under the test conditions, and deduces the aerodynamic forces during the test. Based on the aerodynamic forces during the test, the module calculates the dynamic parameters, including the lift coefficient, drag coefficient, and torque coefficient of the icy conductor, and obtains the galloping test results of the icy conductor.
9. An electronic device, characterized in that, The electronic device includes: At least one processor, and a memory communicatively connected to the at least one processor, wherein the memory stores a computer program executable by the at least one processor, the computer program being executed by the at least one processor to enable the at least one processor to perform the iced conductor galloping test method as described in any one of claims 1 to 7.
10. A computer-readable storage medium storing a computer program; the computer program, when executed by a processor, implements the method for testing the galloping of iced conductors as described in any one of claims 1 to 7.