Construction method, system and equipment of high-voltage line wind vibration simulation parameterized model and medium

Abstract

The invention provides a construction method, system and device of a high-voltage line wind vibration simulation parameterized model and a medium, and belongs to the field of power grid systems. The method comprises the following steps: acquiring topographic data and power grid equipment data, and performing coordinate transformation on the topographic data and the power grid equipment data to obtain target data under the same spatial reference system; calculating an elevation value of a tower in the power grid equipment by using a spatial interpolation algorithm; determining a power transmission line based on the topological relation of the tower equipment, calculating the rotation angle of the tower according to the trend change of the power transmission line, and determining the position of a hanging node of the line by combining the elevation value of the tower, the tower level, the length of a cross arm and the length of an insulator; constructing a three-dimensional tower model by combining three-dimensional modeling software; and mounting line elements on the three-dimensional tower model in combination with the hanging node positions of the line to generate a three-dimensional line model. The simulation of the vibration condition of the high-voltage line under different external interferences can be realized, and the vibration condition of the high-voltage line can be displayed in a visual three-dimensional scene or curve control mode.

Description

Technical Field

[0001] The present invention belongs to the technical field of power grid systems, and specifically relates to a method, system, equipment and medium for constructing a parameterized model of wind-induced vibration simulation of a high-voltage line. Background Art

[0002] With the tremendous development of the power industry, especially with the progress in high-voltage power grids, higher requirements have been put forward for the planning and vibration prevention of high-voltage lines. At present, a number of large-scale power bases and power transmission channels have been scientifically planned and laid out to achieve the global optimization of new energy power. The power grid layout continues to cover remote areas, and a large number of transmission channels pass through uninhabited areas, heavy ice areas, geological disaster areas, and areas prone to wildfires. This has brought greater safety risks to the operation of the power grid, and also put forward higher difficulty requirements for the line planning of the power grid.

[0003] At present, with the development of computer technology, more and more scholars have conducted research on the dynamic response of wind deviation: a large number of studies have been conducted on the numerical simulation of the fluctuating wind speed time series, and the correctness of the method has been verified; the simulation method of fluctuating wind speed has been applied to the large-span transmission tower line system, and the fluctuating wind time series that can be used for the dynamic calculation of the tower line system has been obtained. Based on finite element software such as Ansys and Abaqus, from different angles such as equivalent wind load at the hanging point, wind deviation angle, and dynamic effect magnification factor, the wind deviation problem of the transmission line has been studied in many aspects, and a relatively systematic conclusion has been obtained.

[0004] The existing technology is based on the ideal transmission line model, and lacks research on the wind deviation response of the actual transmission line. Moreover, it is carried out based on the characteristics of the line wind deviation, but there is a lack of research on the mechanism of the wind deviation accident itself. Summary of the invention

[0005] The purpose of the embodiments of the present invention is to provide a method, system, equipment and medium for constructing a parameterized model of wind-vibration simulation of a high-voltage line, which is used to fully or at least partially solve the technical problems existing in the above-mentioned prior art that, under the action of wind vibration, the high-voltage line will vibrate and deform, thereby affecting its operating efficiency and safety, and it is difficult to accurately reflect the dynamic response of the high-voltage line in a complex wind-vibration environment.

[0006] In a first aspect, an embodiment of the present application provides a method for constructing a parameterized model for wind-induced vibration simulation of a high-voltage transmission line, comprising: Acquire terrain data and power grid equipment data, and perform coordinate conversion on the terrain data and power grid equipment data to obtain target terrain data and target power grid equipment data in the same spatial reference system; Based on the target terrain data and the target power grid equipment data, using a spatial interpolation algorithm to calculate the elevation value of the tower in the power grid equipment; Based on the topological relationship of pole and tower equipment, determine the transmission line, and calculate the pole and tower rotation angle according to the trend change of the transmission line, the geographical characteristics of the location where the pole and tower are located, and the wind direction factor. Combine the elevation value, tower layer, cross-arm length, and insulator length of the pole and tower to determine the hanging node position of the line, where the hanging node position satisfies the mechanical balance of the transmission line under various meteorological conditions and operating states; According to the elevation value of the pole and tower, the type of pole and tower, the tower layer structure, the cross-arm length, the pole and tower rotation angle, and the insulator configuration, combine with 3D modeling software to construct a 3D pole and tower model; Combine the hanging node position of the line and mount the line elements on the 3D pole and tower model to generate a 3D line model.

[0007] Optionally, based on the target terrain data and target power grid equipment data, use the spatial interpolation algorithm to calculate the elevation value of the poles and towers in the power grid equipment, including: Collect the coordinate and elevation value data of known pole and tower equipment points, and determine the coordinates of the pole and tower equipment to be calculated; Calculate the distance between the coordinates of the pole and tower equipment to be calculated and the coordinates of the known pole and tower equipment points according to the distance formula between two points, and determine the weight of the known pole and tower equipment points based on the distance; Calculate the elevation value of the pole and tower equipment to be calculated based on the weight and the elevation value data of the known pole and tower equipment points.

[0008] Optionally, based on the topological relationship of pole and tower equipment, determine the transmission line, and calculate the pole and tower rotation angle according to the trend change of the transmission line, including: Obtain the coordinate information of the starting point, turning point, and ending point of the transmission line; Calculate the azimuth angle from the starting point to the turning point and the azimuth angle from the turning point to the next target point according to the coordinates, where the next target point is another turning point or the ending point.

[0009] Optionally, the hanging node position ensures the mechanical balance and electrical clearance requirements of the conductor and ground wire under various meteorological conditions and operating states; the determination process of the hanging node position includes: According to the mechanical balance equation, establish the balance conditions of conductor tension, self-weight, wind load, and ice load force; for a single conductor, in the vertical direction, the self-weight of the conductor, the vertical tension component, and the vertical force of the insulator string are balanced, and in the horizontal direction, the wind load and the horizontal tension component are balanced. Combine the conductor parameters, meteorological conditions, and pole and tower geometric dimensions to determine the hanging node position; According to the electrical clearance standard corresponding to the voltage level, combine the structure form of the pole and tower and the swing range of the conductor to determine the hanging node height range that meets the electrical safety requirements.

[0010] Optionally, when constructing a three-dimensional tower model, a flexible three-dimensional multi-body dynamics modeling technique is used to construct the iron tower model. The specific construction process is as follows: Add constraints and connection relationships: Determine the types and positions of constraints. According to the structure and connection method of the iron tower, determine the types and positions of various constraints. Among them, the types of constraints include but are not limited to fixed constraints, hinge constraints, and sliding constraints; For each connection node, select an appropriate constraint type for simulation according to its mechanical behavior in the iron tower structure; In the modeling software, add various constraints to the iron tower model through the corresponding constraint addition tools. Add constraints by selecting the components to be constrained and the constraint type, and then specifying the parameters of the constraint. During the process of adding constraints, check whether the direction and parameter settings of the constraints are correct to ensure that the mechanical behavior of the iron tower model conforms to the actual situation; Apply loads and boundary conditions: Determine the types and magnitudes of loads. According to the actual working environment of the iron tower, determine the types of loads to be applied; among them, the types of loads include but are not limited to self-weight loads, wind loads, and line loads; In the modeling software, apply the determined loads and boundary conditions to the iron tower model. Among them, for the self-weight load, the modeling software automatically calculates and applies it. For the wind load and line load, according to the direction and action point of the wind load and line load, manually add them to the corresponding components; Verification and optimization of the iron tower model: After completing the construction of the iron tower model and the application of loads and boundary conditions, conduct a preliminary dynamic simulation analysis to obtain the simulation analysis results; Compare the simulation analysis results of the iron tower model with the actual iron tower test data or theoretical calculation results. If there are differences, adjust and optimize the geometric structure, material properties, and load application of the iron tower model to obtain the target iron tower model.

[0011] Optionally, the method for constructing the parametric model of the high-voltage line wind vibration simulation further includes: Set the parameters of the high-voltage line based on the electrical characteristics, physical characteristics, and operating environment of the high-voltage line. Among them, the parameters of the high-voltage line include but are not limited to voltage level, conductor parameters, tower parameters, and insulator parameters.

[0012] Optionally, the method for constructing the parametric model of the high-voltage line wind vibration simulation further includes: In the parametric system model, set different wind interference conditions, and through simulation calculations, analyze the dynamic response and stability of the high-voltage line under different wind interferences, and optimize the design parameters of the high-voltage line according to the simulation results.

[0013] In a second aspect, an embodiment of the present application further provides a system for constructing a parametric model for high-voltage line wind vibration simulation, including: An acquisition unit, configured to acquire terrain data and power grid equipment data, and perform coordinate transformation on the terrain data and the power grid equipment data to obtain target terrain data and target power grid equipment data in the same spatial reference system; A calculation unit, configured to calculate the elevation value of the tower in the power grid equipment by using a spatial interpolation algorithm based on the target terrain data and the target power grid equipment data; A determination unit, configured to determine a transmission line based on the topological relationship of the tower equipment, calculate the tower angle according to the change in the direction of the transmission line, the geographical characteristics of the location where the tower is located, and the wind direction factor, and combine the elevation value, tower level, cross arm length, and insulator length of the tower to determine the hanging node position of the line, where the hanging node position satisfies the mechanical balance of the transmission line under various meteorological conditions and operating states; A construction unit, configured to construct a three-dimensional tower model according to the elevation value of the tower, the tower type, the tower layer structure, the cross arm length, the tower angle, and the insulator configuration, in combination with three-dimensional modeling software; A generation unit, configured to mount line elements onto the three-dimensional tower model in combination with the hanging node position of the line to generate a three-dimensional line model.

[0014] In a third aspect, an embodiment of the present application further provides an electronic device, including a memory, a processor, and a computer program stored on the memory and executable on the processor. When the processor executes the program, the steps of the above-mentioned method for constructing a parametric model for high-voltage line wind vibration simulation are implemented.

[0015] In a fourth aspect, an embodiment of the present application further provides a storage medium, on which a computer program is stored. When the computer program is executed by a processor, the steps of the above-mentioned method for constructing a parametric model for high-voltage line wind vibration simulation are implemented.

[0016] From the above technical solutions, it can be seen that the present invention has the following advantages: In the method, system, device, and medium for constructing a parametric model for high-voltage line wind vibration simulation provided by the present application, three-dimensional modeling technology, parametric design technology, and power system knowledge are combined to achieve accurate description and simulation of each component of the high-voltage line. Its generation is based on basic parameters such as coordinate data of a two-dimensional grid, topological structure between power grid equipment, and elevation data of equipment, and is generated in combination with calculation models such as three-dimensional model construction, spatial vector calculation, and radian calculation. While ensuring the generation of a parametric grid, the simulation is improved, giving a real and three-dimensional effect. The vibration situation of the high-voltage line under different external interferences can be simulated, and the vibration situation of the high-voltage line is presented through an intuitive three-dimensional visual scene or a curve control. BRIEF DESCRIPTION OF THE DRAWINGS

[0017] To more clearly illustrate the technical solution of the present invention, the accompanying drawings required for the description will be briefly introduced below. Obviously, the accompanying drawings in the following description are only some embodiments of the present invention. For those of ordinary skill in the art, other accompanying drawings can be obtained based on these drawings without creative efforts.

[0018] Figure 1 It is a flowchart of a method for constructing a parametric model of wind-induced vibration simulation for high-voltage lines provided by an embodiment of the present invention; Figure 2 It is a schematic structural diagram of a system for constructing a parametric model of wind-induced vibration simulation for high-voltage lines provided by an embodiment of the present invention; Figure 3 It is a schematic hardware structure diagram of an electronic device provided by an embodiment of the present invention. Detailed implementation manners

[0019] In the following detailed description, various embodiments of the present disclosure will be described more fully. The present disclosure can have various embodiments and adjustments and changes can be made therein. However, it should be understood that there is no intention to limit the various embodiments of the present disclosure to the specific embodiments disclosed herein, but the present disclosure should be understood to cover all adjustments, equivalents and / or alternative solutions falling within the spirit and scope of the various embodiments of the present disclosure.

[0020] In the following, the term "include" or "may include" that can be used in various embodiments of the present disclosure indicates the presence of the disclosed function or operation, and does not limit the addition of one or more functions or operations. In addition, as used in various embodiments of the present disclosure, the terms "include", "have" and their cognates are only intended to indicate a specific feature, number, step, operation or combination of the foregoing items, and should not be understood to first exclude the existence or addition of one or more other features, numbers, steps, operations or combinations of the foregoing items.

[0021] In various embodiments of the present disclosure, the expression "or" or "at least one of A or / and B" includes any combination or all combinations of the words listed simultaneously. For example, the expression "A or B" or "at least one of A or / and B" may include A, may include B, or may include both A and B.

[0022] The following will be combined with the drawings in the embodiments of the present invention to clearly and completely describe the technical solutions in the embodiments of the present invention. Obviously, the described embodiments are only part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without creative work are within the scope of protection of the present invention.

[0023] See also Figure 1 FIG. 1 is a flow chart of a method for constructing a parameterized model for wind-induced vibration simulation of a high-voltage transmission line in a specific embodiment, comprising the following execution steps: Step 100: Acquire terrain data and power grid equipment data, and perform coordinate transformation on the terrain data and power grid equipment data to obtain target terrain data and target power grid equipment data in the same spatial reference system.

[0024] Specifically, terrain data DEM, as one of the core data of GIS, is usually stored in the form of raster datasets, in which each unit contains a specific elevation value, together depicting a three-dimensional model of the terrain surface. The power grid equipment data exists in the form of point datasets, which records in detail the geographic coordinates of each device in the power grid (such as towers, substations, etc.), including longitude and latitude. In order to ensure that terrain data and power grid equipment data can be efficiently integrated to support the planning and construction of the power grid, coordinate conversion is first required. This is because the two may use different coordinate systems. Through coordinate conversion, we can achieve the superposition and analysis of data in the same spatial reference system. After completing the coordinate conversion, we use the spatial interpolation algorithm to calculate the elevation value of the tower equipment. Spatial interpolation is a method of inferring the elevation value of unknown points based on the elevation value of known points, which can accurately obtain the elevation information of each tower equipment location. This information is crucial for power grid planning because it can help engineers understand the terrain conditions more deeply and thus develop a more reasonable and feasible power grid layout plan.

[0025] Step 101: Based on the target terrain data and the target power grid equipment data, the elevation value of the tower in the power grid equipment is calculated using a spatial interpolation algorithm.

[0026] Specifically, when executing step 101, the following steps may be performed: S1010: Collect the coordinates and elevation data of known tower equipment points, and determine the coordinates of the tower equipment to be determined.

[0027] S1011: Calculate the distance between the coordinates of the tower device to be determined and the coordinates of the known tower device points according to the distance formula between two points, and determine the weight of the known tower device points based on the distance.

[0028] S1012: Calculate the elevation value of the tower equipment to be determined based on the weight and the elevation value data of the known tower equipment points.

[0029] In some embodiments, the inverse distance weighted interpolation method is adopted, and the elevation value of the unknown point is the weighted average of the elevation values of the surrounding known points. The weight is related to the inverse of the distance, that is, the closer the known point is to the unknown point, the greater the influence on the elevation value of the unknown point.

[0030] 1) Collect the coordinate and elevation value data of the known points, and set the known points as , where i = 1, 2, …, n, and n is the number of known points ( ) is the plane coordinate, is the elevation value.

[0031] 2) Determine the coordinates ( ) of the tower equipment to be calculated.

[0032] 3) Calculate the distances between the point to be calculated and each known point, according to the distance formula between two points .

[0033] 4) Calculate the weights of each known point. The weight formula is , where is the distance attenuation parameter, usually taken as around 2.

[0034] 5) Normalize the weights so that , and the normalized weight is .

[0035] 6) Calculate the elevation value of the tower equipment to be calculated. The formula is .

[0036] Step 102: Based on the topological relationship of the tower equipment, determine the transmission line, and calculate the tower angle according to the change in the direction of the transmission line, the geographical characteristics of the location where the tower is located, and the wind direction factor. Combine the elevation value, tower level, cross arm length, and insulator length of the tower to determine the hanging node position of the line, where the hanging node position satisfies the mechanical balance of the transmission line under various meteorological conditions and operating states.

[0037] Specifically, based on the topological relationship of the tower equipment, determine the transmission line, and calculate the tower angle according to the change in the direction of the transmission line, including: obtaining the coordinate information of the starting point, turning point, and ending point of the transmission line; calculating the azimuth angle from the starting point to the turning point and the azimuth angle from the turning point to the next target point, where the next target point is another turning point or the ending point.

[0038] In some embodiments, tower corner calculation and line topology construction are core aspects in the design and planning of transmission lines. Based on the topological relationships of tower equipment, independent tower equipment is ingeniously connected into a complete transmission line. This process is not a simple linear arrangement but requires comprehensive consideration of multiple factors such as topographic and geomorphic features, line design trends, tower type selection, and their spacing settings, aiming to ensure that the overall stability and economy of the line reach the optimal level. When calculating the tower corner, the geographical characteristics of the tower's location, wind direction factors, and special requirements of line design are deeply considered, enabling the corner of each tower to perfectly adapt to the actual operating environment, thus significantly enhancing the stability and safety of the line. After determining the tower corner, core parameters such as tower elevation, tower level, cross-arm length, and insulator length are further integrated, and through precise calculations, the hanging point positions of the line are obtained. As the key part connecting the conductor and the tower in the transmission line, the accuracy of the hanging point position directly affects the force distribution and insulation performance of the line. Therefore, by accurately calculating the hanging point position, we can ensure that the line can maintain excellent operating conditions under various working conditions.

[0039] Exemplarily, the process of tower corner calculation: The tower corner is mainly determined according to the change in the line's direction. In the design of transmission lines, when the line needs to change direction, a corner is generated. Usually, based on the forward direction of the line, the angle at which the line deflects to the left or right is the tower corner.

[0040] 1) Data collection: First, the coordinate information of the starting point, turning points, and end point of the line needs to be obtained. These coordinates can be in a geodetic coordinate system (such as WGS - 84) or coordinates in an engineering independent coordinate system. For example, it is known that the coordinate of the starting point of the line is , and the coordinate of the turning point is .

[0041] 2) Calculate the azimuth angle: Calculate the azimuth angle from the starting point to the turning point and the azimuth angle from the turning point to the next target point (which can be another turning point or the end point) according to the coordinates . The calculation formula for the azimuth angle is , and then determine the specific value of according to the quadrant . For example, if the angle corresponding to the calculated arctangent value is 0, when , then .

[0042] Step 103: Based on the elevation value of the tower, tower type, tower hierarchical structure, cross - arm length, tower corner, and insulator configuration, combined with 3D modeling software, construct a 3D tower model.

[0043] Step 104: Combine the hanging node positions of the line, and mount the line elements onto the three-dimensional tower model to generate a three-dimensional line model.

[0044] Specifically, the hanging node positions ensure the mechanical balance and electrical clearance requirements of the conductors and ground wires under various meteorological conditions and operating states; the process of determining the hanging node positions includes: according to the mechanical balance equation, establishing the balance conditions of conductor tension, self-weight, wind load, and ice load; among them, for a single conductor, in the vertical direction, the self-weight of the conductor, the vertical component of the tension, and the vertical force of the insulator string are balanced, and in the horizontal direction, the wind load and the horizontal component of the tension are balanced, and in combination with conductor parameters, meteorological conditions, and tower geometric dimensions, the hanging node positions are determined; according to the electrical clearance standard corresponding to the voltage level, in combination with the structure form of the tower and the swing range of the conductor, the height range of the hanging nodes that meets the electrical safety requirements is determined.

[0045] Exemplarily, for the determination of the line hanging node positions: Considering mechanical balance, the hanging node positions should ensure the mechanical balance of conductors, ground wires, etc. under various meteorological conditions (such as strong wind, ice coating, etc.) and operating states. From a mechanical perspective, it is necessary to determine the hanging point positions based on factors such as conductor tension, self-weight, wind load, and ice load, so that the tower is reasonably stressed and adverse stress conditions such as excessive bending moment and torque are avoided. Considering electrical clearance, it is necessary to meet the electrical safety requirements and ensure sufficient electrical clearance. At different voltage levels, there are specified minimum electrical clearances between conductors and tower components, between conductors of different phases, etc. For example, in a 110 kV line, the minimum electrical clearance between the conductor and the tower component may be about 1 meter, which limits the hanging point positions from being too close to the tower component. Considering the reasonable distribution of line spans, the hanging point positions will affect the lengths of adjacent spans, and reasonable span distribution helps to optimize the tension distribution of the line and reduce the sag change of the conductor. For example, in mountainous areas and other areas with complex terrain, by adjusting the hanging point positions, the spans can be adapted to the terrain changes, reducing the construction difficulty and project cost.

[0046] 1) According to the mechanical balance equation, establish the balance relationship of forces such as conductor tension, self-weight, wind load, and ice load. Taking a single conductor as an example, in the vertical direction, the self-weight G of the conductor, the vertical component of the tension and the vertical force of the insulator string are balanced, that is . In the horizontal direction, the wind load and the horizontal component of the tension are balanced, that is . Through these balance equations, in combination with the known conductor parameters (such as weight per unit length, rated tension, etc.), meteorological conditions (such as wind speed, ice coating thickness, etc.), and tower geometric dimensions, the reasonable hanging point positions are calculated.

[0047] 2) For the calculation of the electrical clearance, according to the electrical clearance standard corresponding to the voltage level, combined with the structural form of the tower and the swing range of the conductor, calculate the hanging point height range that meets the electrical safety requirements. For example, for a 220 kV line, given that the maximum wind deflection angle of the conductor is , according to the electrical clearance standard , the hanging point height should meet , where is the height reference of the tower member.

[0048] In a specific embodiment, when constructing the three-dimensional tower model, use the flexible three-dimensional multi-body dynamics modeling technology to construct the iron tower model. The specific construction process is as follows: Add constraints and connection relationships: Determine the constraint types and positions. According to the structure and connection method of the iron tower, determine the types and positions of various constraints. Among them, the constraint types include but are not limited to fixed constraints, hinge constraints, and sliding constraints; For each connection node, select an appropriate constraint type for simulation according to its mechanical behavior in the iron tower structure; In the modeling software, add various constraints to the iron tower model through the corresponding constraint addition tools. Add constraints by selecting the components to be constrained and the constraint types, and then specifying the parameters of the constraints. Among them, during the process of adding constraints, check whether the direction and parameter settings of the constraints are correct to ensure that the mechanical behavior of the iron tower model conforms to the actual situation; Apply loads and boundary conditions: Determine the load types and magnitudes. According to the actual working environment of the iron tower, determine the load types that need to be applied; among them, the load types include but are not limited to self-weight loads, wind loads, and line loads; In the modeling software, apply the determined loads and boundary conditions to the iron tower model. Among them, for the self-weight load, the modeling software automatically calculates and applies it. For the wind load and line load, add them manually to the corresponding components according to the direction and action point of the wind load and line load; Verification and optimization of the iron tower model: After completing the construction of the iron tower model and the application of loads and boundary conditions, conduct a preliminary dynamic simulation analysis to obtain the simulation analysis results; Compare the simulation analysis results of the iron tower model with the actual iron tower test data or theoretical calculation results. If there are differences, adjust and optimize the geometric structure, material properties, and load application of the iron tower model to obtain the target iron tower model.

[0049] Exemplarily, three-dimensional modeling technology: 1. Program selection: Use three-dimensional modeling software for three-dimensional modeling and unify the model input and output rules.

[0050] 2. Model Representation: Through steps such as data collection, individual model construction, model texture mapping, and model spatial layout, the three-dimensional representation of high-voltage lines is achieved.

[0051] 3. Three-dimensional Parametric Grid Modeling: The three-dimensional parametric grid modeling technology makes full use of the obtained detailed tower parameters, such as tower type, height, hierarchical structure, cross-arm length, and insulator configuration, and combines advanced computer-aided design (CAD) technology and three-dimensional modeling software to quickly construct an accurate three-dimensional tower model.

[0052] These models not only accurately reproduce the actual dimensions and structural characteristics of the towers, but also present a highly realistic visual effect through delicate texture mapping and material settings, bringing an immersive experience to users. On this basis, combined with the accurately calculated line suspension node position information in the early stage, we can easily and accurately mount line elements such as conductors and ground wires onto the three-dimensional tower model, thus generating a complete and detailed three-dimensional line model.

[0053] With the help of these two- and three-dimensional models, designers can intuitively examine the overall layout of the line, clearly understand the relative position relationship between towers, and the fine connection details between conductors and towers. This undoubtedly provides strong visual support and technical guarantee for the optimal design of the line, the scientific formulation of construction plans, and the reasonable planning of operation and maintenance strategies, greatly improving the efficiency and accuracy of power grid planning, construction, and operation and maintenance.

[0054] 4. Tower Modeling: Build a tower model based on flexible three-dimensional multi-body dynamics modeling technology, and clarify whether the tower model is for structural analysis, dynamic response research, or other specific applications. For example, if it is used to study the dynamic response of the tower under wind loads, higher accuracy may be required to accurately simulate the vibration characteristics of each part of the tower. The accuracy requirements will affect subsequent modeling processes such as element division and material property definition. Determine the factors to be considered according to the actual use environment and working conditions of the tower, such as the height of the tower, the weight of the lines it bears, the possible wind loads and seismic loads it may withstand, etc.

[0055] 1) Add Constraints and Connection Relationships: Determine the type and location of constraints. According to the actual structure and connection method of the tower, determine the type and location of various constraints. Common constraint types include fixed constraints, hinge constraints, sliding constraints, etc. For example, the connection between the foundation part of the tower and the ground can be defined as a fixed constraint to simulate the fixed connection at the bottom of the tower; the connection between the cross-arm and the tower column can be defined as a hinge constraint to allow the cross-arm to rotate within a certain range.

[0056] For each connection node, carefully analyze its mechanical behavior in the actual structure and select appropriate constraints for accurate simulation. For example, at the corner of a corner iron tower, since the cross arm needs to bear unbalanced tension, the constraints of its connection nodes may need to consider this special mechanical situation, and elastic constraints with a certain stiffness may be used for simulation.

[0057] Add constraints to the model. In the modeling software, various constraints are added to the model through the corresponding constraint addition tools. Add constraints by selecting the components to be constrained and the constraint types, and then specifying the parameters of the constraints (such as the rotation axis direction of the hinge constraint, etc.). During the process of adding constraints, pay attention to checking whether the direction and parameter settings of the constraints are correct to ensure that the mechanical behavior of the model conforms to the actual situation.

[0058] 2) Apply loads and boundary conditions: Determine the load types and magnitudes. According to the actual working environment of the iron tower, determine the load types to be applied. These mainly include self-weight loads, wind loads, line loads, etc. The self-weight load can be calculated based on the mass of the component and the acceleration due to gravity; the wind load needs to be calculated according to factors such as the local wind speed, wind direction, and shape coefficient of the iron tower in accordance with relevant wind load specifications. For example, for an iron tower in a certain area, according to the local basic wind pressure , the windward area A of the iron tower and the shape coefficient , the wind load .

[0059] The line loads include the weights and tensions of the conductors and ground wires. The magnitudes of these loads can be obtained from the line design parameters. For example, if the weight per unit length of the conductor of a certain transmission line is kg / m and the span is meters, then the weight load of the conductor within this span is kg.

[0060] Apply the loads and boundary conditions to the model. In the modeling software, apply the determined loads and boundary conditions to the model. For the self-weight load, the software can usually calculate and apply it automatically; for the wind load and line load, they need to be manually added to the corresponding components according to the direction and action point of the loads. For example, the wind load usually acts on the windward surface of the iron tower, and it can be applied by specifying the direction of the load (consistent with the wind direction) and the action range (the components on the windward surface) in the software. The boundary conditions mainly refer to the fixed constraints at the bottom of the iron tower, which have been set in the previous step of adding constraints.

[0061] 3) Model verification and optimization: Conduct preliminary simulation analysis. After completing the model construction and applying loads and boundary conditions, conduct preliminary dynamic simulation analysis. For example, run a simple static analysis to check the deformation of the iron tower under its own weight and line loads; or conduct a modal analysis to obtain the natural frequencies and vibration modes of the iron tower. Through these preliminary analyses, it is possible to check whether there are obvious errors in the model, such as unreasonable penetration between components and whether the mechanical responses of the model meet expectations.

[0062] Compare and verify with actual data or theoretical results. Compare the analysis results of the model with actual iron tower test data (if available) or theoretical calculation results. For example, if there are deformation data of the iron tower in a wind tunnel test, compare the simulated deformation results of the model under the same wind load. If there are significant differences, carefully check whether there are problems in aspects such as the geometric structure, material properties, and load application of the model, and make corresponding adjustments and optimizations.

[0063] Optimize and adjust the model. According to the verification results, optimize and adjust the model. It may be necessary to slightly adjust the geometric shape of components, redefine material properties, or adjust constraint conditions, etc. For example, if it is found that the stress of a certain component in the model is too large during the simulation analysis, it may be necessary to increase the cross-sectional size of the component or change its material to improve the accuracy and reliability of the model. After multiple verifications and optimizations, obtain the final iron tower model based on flexible three-dimensional multi-body dynamics.

[0064] In some embodiments, the method for constructing the parametric model of the high-voltage line wind vibration simulation further includes: setting parameters of the high-voltage line based on the electrical characteristics, physical characteristics, and operating environment of the high-voltage line, where the parameters of the high-voltage line include, but are not limited to, voltage level, conductor parameters, tower parameters, and insulator parameters.

[0065] Exemplarily, in this embodiment, based on the electrical characteristics, physical characteristics, and operating environment of the high-voltage line, combined with the parametric design method, typical parameters of the high-voltage line are configured. These parameters include, but are not limited to, voltage level, conductor parameters, tower parameters, insulator parameters, etc. By reasonably configuring these parameters, it can be ensured that the high-voltage line can maintain a good operating state under various working conditions.

[0066] (1) Voltage level: High-voltage lines generally refer to transmission lines, and their voltage levels are generally above 110 kilovolts (kV). Common voltage levels include 220 kV, 500 kV, and 750 kV, etc. The specific selection should be comprehensively considered based on factors such as transmission distance, load capacity, and power system planning.

[0067] (2) Conductor parameters: Conductor diameter: A larger conductor diameter can reduce resistance losses and inductance losses, improving the transmission efficiency of the line. The specific diameter should be determined based on factors such as the voltage level of the conductor, load capacity, and electrical tolerance. Conductor material: Selecting a conductor material with high electrical conductivity can reduce resistance losses and improve the power transmission efficiency. Common conductor materials include copper and aluminum. Conductor spacing: Increasing the conductor spacing can reduce the mutual influence between conductors and lower inductance losses. The specific spacing should be determined based on factors such as the voltage level of the conductor, load capacity, and terrain.

[0068] (3) Tower parameters: Tower type: Common tower types include overhead line towers, underground cable towers, and hybrid line towers. The specific selection should be comprehensively considered based on factors such as transmission distance, environmental conditions, and load conditions. Tower height: The height of the tower should be determined based on factors such as terrain, conductor spacing, and the safe operation requirements of the line. Tower material: Selecting a tower material with high strength and corrosion resistance can improve the stability and durability of the line. Common tower materials include steel and concrete.

[0069] Typical tower structure: The transmission tower is split into 4 typical structures according to its structural characteristics.

[0070] (4) Insulator parameters: Insulator type: The type of insulator should be determined based on factors such as the voltage level of the line, environmental conditions, and operation requirements. Common insulator types include porcelain insulators, glass insulators, and composite insulators. Number of insulator strings: The number of insulator strings should be determined based on factors such as the voltage level of the line, environmental conditions, and insulation requirements. Insulator arc distance: The insulator arc distance refers to the distance between the two ends of the insulator string and should be determined based on factors such as the voltage level of the line and operation requirements.

[0071] (5) Other parameters: Rated current: The rated current of the high-voltage line determines the transmission capacity of the line, and its value depends on the design capacity and load conditions of the line. DC resistance and AC resistance: The DC resistance and AC resistance respectively refer to the resistance of the line conductor per unit length to DC current and AC current. They affect the transmission losses and power factor of the line. Line length: The length of the high-voltage line affects the transmission losses and voltage stability of the line. A longer line will generate more transmission losses and may cause voltage drop.

[0072] In some embodiments, the method for constructing the parametric model of the high-voltage line wind vibration simulation further includes: In the parametric system model, different wind disturbance conditions are set, and through simulation calculations, the dynamic response and stability of the high-voltage line under different wind disturbances are analyzed, and based on the simulation results, the design parameters of the high-voltage line are optimized.

[0073] Exemplarily, (i) Simulation of wind speed and direction: Obtain actual wind speed and direction information using meteorological data or wind speed and direction sensors. In the parametric system model, set the corresponding wind speed and direction parameters.

[0074] 1. Wind speed simulation: 1) Data sources: Real-time meteorological data: Real-time wind speed data obtained through observation devices such as meteorological stations and satellites. Historical meteorological data: Long-term accumulated meteorological records, which can be used to analyze the variation patterns and trends of wind speed. Simulation datasets: Global wind speed and direction datasets such as NASA's MERRA-2, which can be used for simulation after preprocessing.

[0075] 2) Simulation methods: Statistical models: Such as exponential distribution, normal distribution, Weibull distribution, etc., which can be used to fit the wind speed distribution characteristics of different regions. Composite wind speed model: Divide the natural wind speed into components such as basic wind speed, gust wind, gradually changing wind, and noise wind, and simulate them through mathematical models. Numerical simulation: Use numerical methods such as computational fluid dynamics (CFD) to perform high-precision simulation of wind speed.

[0076] 2. Wind direction simulation: 1) Data sources: Similar to wind speed simulation, wind direction data also comes from real-time meteorological observations, historical meteorological records, and simulation datasets.

[0077] 2) Simulation methods: Calculation based on wind direction angle: Calculate the wind direction angle using mathematical formulas through known zonal wind and meridional wind data. Vector synthesis method: Decompose the wind speed into zonal and meridional components, and then obtain the actual wind direction through vector synthesis. Numerical simulation: Also use numerical methods such as CFD to perform high-precision simulation of wind direction.

[0078] Exemplarily, (ii) Calculation of wind load: Calculate the force exerted by the wind load on the line according to the physical characteristics of the line and the wind speed and direction information. Input the wind load as an external excitation into the parametric system model.

[0079] Exemplarily, (iii) Analysis of simulation results and system implementation: Observe the dynamic responses of the line under different wind interferences, such as displacement, deformation, etc. Analyze the stability of the line, including static stability and dynamic stability. According to the simulation results, evaluate the wind resistance and safety of the line, and propose corresponding optimization suggestions.

[0080] In this embodiment, three-dimensional modeling technology, parametric design technology, and power system knowledge are combined to achieve accurate description and simulation of each component of high-voltage lines. Its generation is based on basic parameters such as coordinate data of two-dimensional wireframes, topological structures between power grid devices, and elevation data of devices, and is generated by combining calculation models such as three-dimensional model construction, spatial vector calculation, and radian calculation. On the basis of ensuring the generation of parametric wireframes, the simulation is improved, giving a real and three-dimensional effect, and the vibration conditions of high-voltage lines under different external interferences can be simulated, and the vibration conditions of high-voltage lines are presented through an intuitive three-dimensional visual scene or curve control.

[0081] It should be understood that the magnitudes of the sequence numbers of the steps in the above embodiments do not mean the order of execution is prior or posterior. The execution order of each process should be determined according to its function and internal logic, and should not constitute any limitation to the implementation process of the embodiments of the present invention.

[0082] As Figure 2 shown, the following are embodiments of a system for constructing a parametric model of wind-induced vibration simulation of high-voltage lines provided by the embodiments of the present disclosure. They belong to the same inventive concept as the methods for constructing a parametric model of wind-induced vibration simulation of high-voltage lines in the above embodiments. For the details not described in detail in the embodiments of the system for constructing a parametric model of wind-induced vibration simulation of high-voltage lines, reference can be made to the embodiments of the methods for constructing a parametric model of wind-induced vibration simulation of high-voltage lines.

[0083] An acquisition unit is configured to acquire terrain data and power grid device data, and perform coordinate conversion on the terrain data and power grid device data to obtain target terrain data and target power grid device data in the same spatial reference system; A calculation unit is configured to calculate the elevation value of the tower in the power grid device by using a spatial interpolation algorithm based on the target terrain data and target power grid device data; A determination unit is configured to determine a transmission line based on the topological relationship of tower devices, calculate the tower rotation angle according to the change in the direction of the transmission line, the geographical characteristics of the location where the tower is located, and the wind direction factor, and determine the hanging node position of the line in combination with the elevation value of the tower, the tower layer, the cross-arm length, and the insulator length, where the hanging node position satisfies the mechanical balance of the transmission line under various meteorological conditions and operating states; A construction unit is configured to construct a three-dimensional tower model by combining the elevation value of the tower, the tower type, the tower layer structure, the cross-arm length, the tower rotation angle, and the insulator configuration, in combination with three-dimensional modeling software; A generation unit is configured to mount line elements on the three-dimensional tower model in combination with the hanging node position of the line to generate a three-dimensional line model.

[0084] Figure 3 It is a schematic diagram of the hardware structure of an electronic device for implementing various embodiments of the present invention.

[0085] The method for constructing a parametric model of high-voltage line wind vibration simulation provided by the embodiments of the present application can be applied to electronic devices. Those skilled in the art can understand that the structure of the electronic device involved in the embodiments of the present invention does not constitute a limitation on the electronic device. The electronic device may include more or fewer components than shown in the figures, or combine certain components, or have different component arrangements. In the embodiments of the present invention, the electronic device includes, but is not limited to, laptop computers, desktop computers, workbenches, personal digital assistants, servers, blade servers, mainframe computers, and other suitable computers. The electronic device may also represent various forms of mobile devices, such as personal digital processors, cellular phones, smart phones, wearable devices, and other similar computing devices. The components shown herein, their connections and relationships, and their functions are merely examples and are not intended to limit the implementation of the embodiments of the present application described herein and / or claimed.

[0086] The electronic device may include a processor, an external memory interface, an internal memory, a universal serial bus (USB) interface, a charging management module, a power management module, a battery, a wireless communication module, an audio module, a speaker, a microphone, a sensor module, keys, a camera, a display screen, and a SIM card interface, etc.

[0087] It can be understood that the structure schematically shown in the embodiments of the present application does not constitute a specific limitation on the electronic device. In other embodiments of the present application, the electronic device may include more or fewer components than shown in the figures, or combine certain components, or split certain components, or have different component arrangements. The components shown in the figures may be implemented in hardware, software, or a combination of software and hardware.

[0088] The processor may include one or more processing units. For example, the processor may include a central processing unit (CPU), etc., an application processor (AP), a modem processor, a graphics processing unit (GPU), an image signal processor (ISP), a controller, a memory, a video codec, a digital signal processor (DSP), a baseband processor, and / or a neural-network processing unit (NPU), etc. Among them, different processing units may be independent devices or integrated in one or more processors.

[0089] Among them, the processor can be the nerve center and command center of the electronic device. The controller can generate operation control signals according to the instruction operation code and timing signals to complete the control of fetching and executing instructions.

[0090] A memory can also be set in the processor to store instructions and data. In some embodiments, the memory in the processor is a cache memory. This memory can save the instructions or data that the processor has just used or recycled. If the processor needs to use the instruction or data again, it can directly call it from this memory. This avoids repeated accesses, reduces the waiting time of the processor, and thus improves the system efficiency.

[0091] The external memory interface can be used to connect an external memory card, such as a MicroSD card, to implement the storage capacity expansion of the electronic device. The external memory card communicates with the processor through the external memory interface to achieve the data storage function. For example, files such as music and videos are saved in the external memory card.

[0092] The internal memory can be used to store computer-executable program codes, and the computer-executable program codes include instructions. The processor executes various functional applications and data processing of the electronic device by running the instructions stored in the internal memory. The internal memory can include a program storage area and a data storage area. The internal memory can include a high-speed random access memory and can also include a non-volatile memory, such as at least one magnetic disk storage device, a flash memory device, a universal flash storage (UFS), etc.

[0093] The wireless communication function of the electronic device can be implemented through an antenna, a wireless communication module, a modulation and demodulation processor, a baseband processor, etc.

[0094] The wireless communication module can provide wireless communication solutions applied to the electronic device, including wireless local area networks (WLAN) (such as wireless fidelity (Wi-Fi) networks), Bluetooth (BT), global navigation satellite system (GNSS), frequency modulation (FM), near field communication (NFC), infrared technology (IR), etc.

[0095] The electronic device can implement audio functions, etc. through an audio module, a speaker, a receiver, a microphone, a headphone interface, an application processor, etc.

[0096] An electronic device can implement a shooting function through an ISP, a camera, a video codec, a GPU, a display screen, an application processor, etc.

[0097] An electronic device can implement a display function through a GPU, a display screen, an application processor, etc.

[0098] The GPU is a microprocessor for image processing, connecting the display screen and the application processor. The GPU is used to perform mathematical and geometric calculations for graphics rendering. The processor may include one or more GPUs, which execute program instructions to generate or change display information.

[0099] The display screen is used to display images, videos, etc. The display screen includes a display panel.

[0100] In the storage medium provided in this application, there is a program product capable of implementing a method for constructing a parametric model of high-voltage line wind vibration simulation.

[0101] In some possible implementation manners, the subject matter of the present disclosure, a method and a system for constructing a parametric model of high-voltage line wind vibration simulation, can be implemented in the form of a program product, which includes program code. When the program product runs on a terminal device, the program code is used to cause the terminal device to execute the steps according to various exemplary embodiments of the present disclosure described in the above "Exemplary Method" section of this specification.

[0102] The storage medium of the present disclosure can adopt any combination of one or more readable media. The readable medium can be a readable signal medium or a readable storage medium. The readable storage medium can be, for example, but not limited to, an electrical, magnetic, optical, electromagnetic, infrared, or semiconductor system, apparatus, or device, or any combination of the above. More specific examples (non-exhaustive list) of the readable storage medium include: an electrical connection having one or more wires, a portable disk, a hard disk, a random access memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or flash memory), an optical fiber, a portable compact disk read-only memory (CD-ROM), an optical storage device, a magnetic storage device, or any suitable combination of the above.

[0103] The above description of the disclosed embodiments enables those skilled in the art to implement or use the present invention. Various modifications to these embodiments will be apparent to those skilled in the art, and the general principles defined herein can be implemented in other embodiments without departing from the spirit or scope of the present invention. Therefore, the present invention will not be limited to these embodiments shown herein, but will be accorded the widest scope consistent with the principles and novel features disclosed herein.

Claims

1. A method for constructing a parametric model of high-voltage line wind vibration simulation, characterized in that Including: Obtain terrain data and power grid equipment data, perform coordinate transformation on the terrain data and power grid equipment data, and obtain target terrain data and target power grid equipment data in the same spatial reference system; Based on the target terrain data and target power grid equipment data, use a spatial interpolation algorithm to calculate the elevation value of the poles in the power grid equipment; Based on the topological relationship of the pole equipment, determine the transmission line, calculate the pole angle according to the change in the direction of the transmission line, the geographical characteristics of the location where the pole is located, and the wind direction factor, and combine the elevation value of the pole, the tower layer, the cross-arm length, and the insulator length to determine the hanging node position of the line, where the hanging node position satisfies the mechanical balance of the transmission line under various meteorological conditions and operating states; According to the elevation value of the pole, the pole type, the pole layer structure, the cross-arm length, the pole angle, and the insulator configuration, combine with 3D modeling software to construct a 3D pole model; Combine the hanging node position of the line, mount the line elements on the 3D pole model, and generate a 3D line model.

2. The method for constructing a parametric model of high-voltage line wind vibration simulation according to claim 1, characterized in that, Based on the target terrain data and target power grid equipment data, using a spatial interpolation algorithm to calculate the elevation value of the poles in the power grid equipment, including: Collect the coordinate and elevation value data of known pole equipment points, and determine the coordinates of the pole equipment to be calculated; Calculate the distance between the coordinates of the pole equipment to be calculated and the coordinates of the known pole equipment points according to the distance formula between two points, and determine the weight of the known pole equipment points based on the distance; Calculate the elevation value of the pole equipment to be calculated based on the weight and the elevation value data of the known pole equipment points.

3. The method for constructing a parametric model for wind vibration simulation of high-voltage lines according to claim 1, wherein, Based on the topological relationship of the pole equipment, determine the transmission line, and calculate the pole angle according to the change in the direction of the transmission line, including: Obtain the coordinate information of the starting point, turning point, and ending point of the transmission line; Calculate the azimuth angle from the starting point to the turning point and the azimuth angle from the turning point to the next target point according to the coordinates, where the next target point is another turning point or the ending point.

4. The method for constructing a parametric model for high-voltage line wind vibration simulation according to claim 1, wherein The hanging node position ensures the mechanical balance and electrical clearance requirements of the conductor and the ground wire under various meteorological conditions and operating states; the determination process of the hanging node position includes: According to the mechanical balance equation, establish the balance conditions of the conductor tension, self-weight, wind load, and ice load force; among them, for a single conductor, in the vertical direction, the self-weight of the conductor, the vertical tension component, and the vertical force of the insulator string are balanced, and in the horizontal direction, the wind load and the horizontal tension component are balanced, and combined with the conductor parameters, meteorological conditions, and pole geometric dimensions, determine the hanging node position; According to the electrical clearance standard corresponding to the voltage level, combined with the structure form of the pole and the swing range of the conductor, determine the hanging node height range that meets the electrical safety requirements.

5. The method for constructing a parametric model of high-voltage line wind vibration simulation according to claim 1, characterized in that When constructing the 3D pole model, use the flexible 3D multi-body dynamics modeling technology to construct the iron tower model, and the specific construction process is as follows: Add constraints and connection relationships: Determine the type and position of the constraints, and according to the structure and connection method of the iron tower, determine the type and position of various constraints, where the constraint types include but are not limited to fixed constraints, hinge constraints, and sliding constraints; For each connection node, select an appropriate constraint type for simulation according to its mechanical behavior in the iron tower structure; In the modeling software, various constraints are added to the iron tower model through corresponding constraint addition tools. By selecting the components to be constrained and the constraint types, and then specifying the parameters of the constraints to add the constraints. During the process of adding constraints, it is necessary to check whether the direction and parameter settings of the constraints are correct to ensure that the mechanical behavior of the iron tower model conforms to the actual situation; Applying loads and boundary conditions: Determine the load types and magnitudes. According to the actual working environment of the iron tower, determine the load types to be applied; among them, the load types include but are not limited to self-weight loads, wind loads, and line loads; In the modeling software, apply the determined loads and boundary conditions to the iron tower model. Among them, for the self-weight load, the modeling software automatically calculates and applies it. For the wind load and line load, according to the directions and action points of the wind load and line load, they are manually added to the corresponding components; Verification and optimization of the iron tower model: After completing the construction of the iron tower model and the application of loads and boundary conditions, conduct a preliminary dynamic simulation analysis to obtain the simulation analysis results; Compare the simulation analysis results of the iron tower model with the actual iron tower test data or theoretical calculation results. If there are differences, adjust and optimize the geometric structure, material properties, and load application of the iron tower model to obtain the target iron tower model.

6. The method for constructing a parametric model for high-voltage line wind vibration simulation according to claim 1, wherein The method for constructing the parametric model of the high-voltage line wind vibration simulation further includes: Set the parameters of the high-voltage line based on the electrical characteristics, physical characteristics, and operating environment of the high-voltage line. Among them, the parameters of the high-voltage line include but are not limited to voltage level, conductor parameters, tower parameters, and insulator parameters.

7. The method for constructing a parametric model for high-voltage line wind vibration simulation according to claim 6, characterized in that The method for constructing the parametric model of the high-voltage line wind vibration simulation further includes: In the parametric system model, set different wind interference conditions. Through simulation calculations, analyze the dynamic response and stability of the high-voltage line under different wind interferences, and optimize the design parameters of the high-voltage line according to the simulation results.

8. A construction system for a parametric model of high-voltage line wind vibration simulation, characterized in that, Include: An acquisition unit for acquiring terrain data and power grid equipment data, and performing coordinate transformation on the terrain data and power grid equipment data to obtain target terrain data and target power grid equipment data in the same spatial reference system; A calculation unit for calculating the elevation value of the tower in the power grid equipment by using a spatial interpolation algorithm based on the target terrain data and target power grid equipment data; A determination unit for determining the transmission line based on the topological relationship of the tower equipment, calculating the tower angle according to the trend change of the transmission line, the geographical characteristics of the location where the tower is located, and the wind direction factor, and combining the elevation value, tower level, cross-arm length, and insulator length of the tower to determine the hanging point position of the line, where the hanging point position satisfies the mechanical balance of the transmission line under various meteorological conditions and operating states; A construction unit for constructing a three-dimensional tower model by combining the elevation value, tower type, tower hierarchical structure, cross-arm length, tower angle, and insulator configuration of the tower with three-dimensional modeling software; A generation unit for mounting the line elements to the three-dimensional tower model in combination with the hanging point position of the line to generate a three-dimensional line model.

9. An electronic device, comprising a memory, a processor, and a computer program stored on the memory and executable on the processor, characterized in that, When the processor executes the program, the steps of the method for constructing the parametric model of the high-voltage line wind vibration simulation as described in any one of claims 1 to 7 are implemented.

10. A storage medium having a computer program stored thereon, characterized in that, When the computer program is executed by the processor, the steps of the method for constructing the parametric model of the high-voltage line wind vibration simulation as described in any one of claims 1 to 7 are implemented.

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