Method and system for wind-induced vibration control of power transmission conductor based on viscoelastic damping spacer rod

Abstract

The application discloses a wind vibration control method and system for power transmission conductors based on viscoelastic damping spacer rods, and is applied to the technical field of wind vibration control of power transmission conductors. The viscoelastic damping spacer rod comprises a tuning spring, a linear spring, a damping component and a tuning ball. The method comprises the following steps: obtaining the static parameters, the applied wind speed, the modal mass and the modal stiffness of the target power transmission conductor, and determining the installation number of the spacer rod based on the static parameters; obtaining the mass data of the tuning ball based on the modal mass, the installation number and the total mass ratio; the total mass ratio is determined based on the applied wind speed; logically solving the modal mass, the modal stiffness, the installation number and the total mass ratio based on a plurality of algorithm sets, and respectively obtaining the tuning stiffness of the tuning spring, the viscous stiffness of the linear spring and the damping coefficient of the damping component; and performing wind vibration control on the target power transmission conductor by constructing a vibration reduction control strategy. The precise vibration reduction control strategy is constructed by the viscoelastic damping spacer rod, so as to suppress the wind-induced vibration of the power transmission conductor.

Description

Technical Field

[0001] This invention relates to the field of wind vibration control technology for power transmission lines, and in particular to a method and system for wind vibration control of power transmission lines based on viscoelastic damping spacers. Background Technology

[0002] In wind-induced vibration control scenarios for transmission lines, damping spacers play a crucial role in vibration reduction. The installation design of damping spacers primarily relies on manual experience or simplified estimations. However, existing technologies suffer from the following problems: the damping force of viscous dampers is linearly related to the velocity, resulting in low damping force output and low energy efficiency under small-amplitude vibration conditions. Furthermore, damping force saturation easily occurs under high wind conditions, making it difficult to maintain ideal vibration reduction effects across the entire wind speed range. Key parameters are largely selected based on experience, lacking systematic consideration, leading to a mismatch between design parameters and the actual vibration characteristics of the conductor, making it difficult to accurately construct vibration reduction control strategies based on line conditions and wind load characteristics. Summary of the Invention

[0003] This invention provides a method and system for controlling wind vibration of transmission lines based on viscoelastic damping spacers, in order to solve the technical problem that the wind vibration control of existing damping spacers is not precise enough.

[0004] To address the aforementioned technical problems, this invention provides a method for controlling wind-induced vibration of transmission lines based on a viscoelastic damping spacer. The viscoelastic damping spacer includes a tuning spring, a viscoelastic damper, and a tuning ball; the viscoelastic damper includes a linear spring and a damping component; the method includes: Obtain the static parameters, applied wind speed, modal mass, and modal stiffness of the target transmission line, and determine the number of viscoelastic damping spacers to be installed based on the static parameters; The mass data of the tuning sphere is obtained based on the modal mass, the number of installations, and the total mass ratio; the total mass ratio is determined based on the applied wind speed. Based on the first set of algorithms, the modal stiffness, the number of installations, and the total mass ratio are logically solved to obtain the tuning stiffness of the tuning spring. Based on the second set of algorithms, the modal stiffness, the number of installations, and the total mass ratio are logically solved to obtain the viscous stiffness of the linear spring. Based on the third set of algorithms, the modal mass, modal stiffness, number of installations, and total mass ratio are logically solved to obtain the damping coefficient of the damping component; Based on the installation quantity, the mass data, the tuning stiffness, the viscous stiffness, and the damping coefficient, a vibration reduction and control strategy is constructed to control the wind vibration of the target transmission line.

[0005] As one preferred embodiment, obtaining the mass data of the tuning ball based on the modal mass, the number of installations, and the total mass ratio includes: Based on the calculation results of the modal mass to total mass ratio, the total tuning mass is determined; Based on the calculation results of the total tuning mass and the number of installations, the mass data of the tuning ball is obtained.

[0006] As one preferred embodiment, the tuning stiffness of the tuning spring is obtained by logically solving the modal stiffness, the number of installations, and the total mass ratio based on the first algorithm set, including: The first algorithm set includes a first pre-built algorithm and a second pre-built algorithm; Based on the first pre-construction algorithm and the total mass ratio, the optimal tuning stiffness ratio is obtained; Based on the second pre-construction algorithm, the modal stiffness, the number of installations, and the optimal tuning stiffness ratio are logically solved to obtain the tuning stiffness of the tuning spring.

[0007] As one preferred embodiment, the construction of the vibration reduction control strategy based on the installation quantity, the mass data, the tuning stiffness, the viscous stiffness, and the damping coefficient includes: Based on the number of installations and the span of the target transmission line, determine the installation scheme of the viscoelastic damping spacer on the target transmission line; Based on the mass data, the tuning stiffness, the viscous stiffness, and the damping coefficient, the component layout scheme of the viscoelastic damping spacer is determined. Based on the installation scheme and the component layout scheme, a vibration reduction and control strategy is constructed.

[0008] As one preferred embodiment, the viscoelastic damping spacer further includes a split conductor fixing component and a spacer frame, wherein: The split conductor fixing component is connected to the spacer frame. The number of split conductor fixing components is the same as the number of target transmission conductors. The number of split conductor fixing components is equal to the sum of the number of tuning springs and viscoelastic dampers. One end of the tuning spring is connected to the spacer frame via a movable hinge node, and the other end of the tuning spring is connected to the tuning ball via a spherical node.

[0009] As one preferred embodiment, the viscoelastic damper further includes a linear guide rail; wherein: The linear spring and the damping component are nested on the linear guide rail; One end of the linear spring is connected to the spacer frame via the movable hinge node, and the other end of the linear spring is connected in series with the damping component. One end of the damping component is connected in series with the linear spring, and the other end of the damping component is connected to the tuning ball through a spherical node.

[0010] Another embodiment of the present invention provides a wind-induced vibration control system for transmission lines based on a viscoelastic damping spacer, wherein the viscoelastic damping spacer includes a tuning spring, a viscoelastic damper, and a tuning ball; the viscoelastic damper includes a linear spring and a damping component; the system includes: The module for determining the number of installations is used to obtain the static parameters, applied wind speed, modal quality, and modal stiffness of the target transmission line, and to determine the number of viscoelastic damping spacers to be installed based on the static parameters. A mass data determination module is used to obtain the mass data of the tuning sphere based on the modal mass, the number of installations, and the total mass ratio; the total mass ratio is determined based on the applied wind speed. The tuning stiffness determination module is used to perform logical solutions on the modal stiffness, the number of installations, and the total mass ratio based on a first set of algorithms to obtain the tuning stiffness of the tuning spring. The viscous stiffness determination module is used to perform logical solutions on the modal stiffness, the number of installations, and the total mass ratio based on the second set of algorithms to obtain the viscous stiffness of the linear spring. The damping coefficient determination module is used to perform logical solutions on the modal mass, modal stiffness, number of installations, and total mass ratio based on a third set of algorithms to obtain the damping coefficient of the damping component. The wind vibration control module is used to construct a vibration reduction and control strategy based on the number of installations, the mass data, the tuning stiffness, the viscous stiffness, and the damping coefficient, so as to control the wind vibration of the target transmission line based on the vibration reduction and control strategy.

[0011] As one preferred embodiment, the quality data determination module includes: The total tuning quality determination unit is used to determine the total tuning quality based on the calculation result of the modal quality to total quality ratio; The quality data determination unit is used to obtain the quality data of the tuning ball based on the calculation results of the total tuning quality and the number of installations.

[0012] As one preferred embodiment, the tuning stiffness determination module includes: The first algorithm set includes a first pre-built algorithm and a second pre-built algorithm; The optimal tuning stiffness ratio determination unit is used to obtain the optimal tuning stiffness ratio based on the first pre-construction algorithm and the total mass ratio; The tuning stiffness determination unit is used to perform logical solutions on the modal stiffness, the number of installations, and the optimal tuning stiffness ratio based on the second pre-construction algorithm to obtain the tuning stiffness of the tuning spring.

[0013] As one preferred embodiment, the wind vibration control module includes: The installation scheme determination unit is used to determine the installation scheme of the viscoelastic damping spacer on the target transmission line based on the installation quantity and the span of the target transmission line. The component layout scheme determination unit is used to determine the component layout scheme of the viscoelastic damping spacer based on the mass data, the tuning stiffness, the viscous stiffness, and the damping coefficient. The vibration reduction and control strategy construction unit is used to construct a vibration reduction and control strategy based on the installation scheme and the component layout scheme.

[0014] This application overcomes the shortcomings of traditional empirical value selection methods by introducing the dynamic characteristics of the target transmission conductor into the design process through obtaining the modal mass and modal stiffness. Specifically, the total mass ratio is determined based on the applied wind speed, and the mass of the tuning sphere is accurately calculated by combining the modal mass and the number of installations, ensuring optimal mass matching between the tuning mass and the effective vibration mass of the conductor. Subsequently, using the first, second, and third algorithm sets respectively, the stiffness of the tuning spring, the viscous stiffness of the linear spring, and the damping coefficient of the damping components are accurately solved based on the modal stiffness, modal mass, and total mass ratio, ensuring precise matching with the dominant modal frequency of the conductor. This allows the tuning sphere to generate optimal resonance opposite to the conductor under pulsating wind excitation, maximizing the efficiency of vibration energy transfer from the main conductor system. Based on this, a complete vibration reduction and control strategy is constructed, integrating the above parameters into an integrated scheme to guide the configuration and installation of spacers, realizing a closed-loop design process from accurate parameter calculation to engineering implementation. Therefore, this application can ensure efficient energy dissipation and vibration reduction capabilities under all wind speed conditions, effectively suppress wind-induced vibration response of conductors, improve the operational safety and reliability of transmission lines under wind loads, and is applicable to different types and specifications of transmission lines, with good universality and engineering promotion value. Attached Figure Description

[0015] Figure 1 This is a schematic diagram of the viscoelastic damping spacer provided by the present invention; Figure 2 This is a schematic diagram of the viscoelastic damper provided by the present invention; Figure 3This is one of the flowcharts of the wind vibration control method for transmission lines based on viscoelastic damping spacers provided by the present invention; Figure 4 This is the second flowchart of the wind vibration control method for transmission lines based on viscoelastic damping spacers provided by the present invention. Figure 5 This is a schematic diagram of the wind-induced vibration control system for power transmission lines based on viscoelastic damping spacers provided by the present invention.

[0016] Figure label: Among them, 1. Split conductor fixing component; 2. Spacer frame; 3. Viscoelastic damper; 4. Spherical node; 5. Movable hinge node; 6. Tuning spring; 7. Tuning ball; 3-1. Damping jacket; 3-2. Linear guide rail; 3-3. Damping component; 3-4. Spring base; 3-5. Linear spring. Detailed Implementation

[0017] The technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings. Obviously, the described embodiments are only some embodiments of the present invention, and not all embodiments. The purpose of providing these embodiments is to make the disclosure of the present invention more thorough and comprehensive. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative effort are within the scope of protection of the present invention.

[0018] In the description of this application, the terms "first," "second," "third," etc., are used for descriptive purposes only and should not be construed as indicating or implying relative importance or implicitly specifying the number of indicated technical features. Therefore, a feature defined with "first," "second," "third," etc., may explicitly or implicitly include one or more of that feature. In the description of this application, unless otherwise stated, "a plurality of" means two or more.

[0019] In the description of this application, it should be noted that, unless otherwise expressly specified and limited, the terms "installation," "connection," and "linking" should be interpreted broadly. For example, they can refer to fixed connections, detachable connections, or integral connections; they can refer to mechanical connections or electrical connections; they can refer to direct connections or indirect connections through an intermediate medium; and they can refer to the internal communication between two components. The terms "vertical," "horizontal," "left," "right," "upper," "lower," and similar expressions used herein are for illustrative purposes only and do not indicate or imply that the device or component referred to must have a specific orientation, or be constructed and operated in a specific orientation, and therefore should not be construed as limiting the invention. The term "and / or" as used herein includes any and all combinations of one or more of the associated listed items. Those skilled in the art can understand the specific meaning of the above terms in this application based on the specific circumstances.

[0020] In the description of this application, it should be noted that, unless otherwise defined, all technical and scientific terms used in this invention have the same meaning as commonly understood by one of ordinary skill in the art. The terminology used in this specification is for the purpose of describing specific embodiments only and is not intended to limit the invention. Those skilled in the art can understand the specific meaning of the above terms in this application based on the specific circumstances.

[0021] See Figure 1 , Figure 1 This is a schematic diagram of the structure of the viscoelastic damping spacer provided by the present invention. The viscoelastic damping spacer provided by the present invention includes a tuning spring 6, a viscoelastic damper 3, and a tuning ball 7. The viscoelastic damper 3 further includes a linear spring 3-5 and a damping component 3-3.

[0022] The viscoelastic damping spacer also includes a split conductor fixing component 1 and a spacer frame 2. The split conductor fixing component is connected to the spacer frame. The number of split conductor fixing components is the same as the number of target transmission conductors. The number of split conductor fixing components is equal to the sum of the number of tuning springs and viscoelastic dampers. One end of the tuning spring is connected to the spacer frame through a movable hinge node 5, and the other end of the tuning spring is connected to the tuning ball through a spherical node 4.

[0023] In this embodiment, the split conductor fixing component refers to a clamping element used to fix the viscoelastic damping spacer to each sub-conductor in the split conductor (i.e., each sub-transmission conductor in the target transmission conductor). One end of the split conductor fixing component clamps the sub-conductor, and the other end is connected to the spacer frame. The split conductor fixing components are usually wire clamp structures, and their number is the same as the number of sub-conductors. For example, four split conductors correspond to four split conductor fixing components.

[0024] A spacer frame is a supporting skeleton used to maintain the geometric spacing between the sub-conductors of a split conductor. The spacer frame is the basic load-bearing component of the viscoelastic damping spacer, and the split conductor fixing components, tuning springs, and viscoelastic dampers are all connected to the spacer frame. A movable hinge joint is a connection joint that allows relative rotation between the connected components. In this embodiment, the movable hinge joint is used to connect one end of the tuning spring to the spacer frame, allowing the tuning spring to swing relative to the frame within a certain angle range. A spherical joint is a connection joint that allows relative rotation between the connected components in multiple directions. In this embodiment, the spherical joint is used to connect the other end of the tuning spring to a tuning ball, allowing the tuning ball to move relative to the tuning spring in multiple directions in space.

[0025] In this embodiment, the viscoelastic damping spacer includes a split conductor fixing component, a spacer frame, a tuning spring, a viscoelastic damper, and a tuning ball. The split conductor fixing component is connected to the spacer frame, and the number of split conductor fixing components is the same as the number of sub-conductors of the target transmission line.

[0026] One end of the tuning spring is connected to the spacer frame via a movable hinge joint, and the other end is connected to the tuning ball via a spherical joint. The movable hinge joint allows the tuning spring to swing relative to the spacer frame in the longitudinal or transverse direction to accommodate the movement of the tuning ball in different directions. The spherical joint allows the tuning ball to rotate relative to the tuning spring in any direction in space, ensuring that the tuning spring always transmits elastic force along its axial direction when the tuning ball moves in a two-dimensional plane.

[0027] The number of fixing components for the split conductor is equal to the sum of the number of tuning springs and viscoelastic dampers. For example, in a square spacer frame for a four-split conductor, there are two tuning springs and two viscoelastic dampers, totaling four, equal to the number of fixing components for the split conductor. The two tuning springs and two viscoelastic dampers are arranged orthogonally within the square frame; for example, the two tuning springs are arranged horizontally and vertically, and the two viscoelastic dampers are arranged vertically and horizontally, respectively, so that the tuning ball, when moving in any direction, is simultaneously subjected to the elastic restoring force of the tuning springs and the damping force of the viscoelastic dampers.

[0028] Understandably, for a three-split conductor, the spacer frame can also be triangular, with a total of three tuning springs and viscoelastic dampers, which can be arranged at 120-degree intervals within the triangular frame; for a six-split conductor, the spacer frame is hexagonal, with a total of six tuning springs and viscoelastic dampers, which can be arranged at 60-degree intervals within the hexagonal frame.

[0029] By limiting the connection relationship between the split conductor fixing components and the spacer frame, and ensuring that the number of split conductor fixing components is equal to the sum of the number of tuning springs and viscoelastic dampers, the viscoelastic damping spacer is able to adapt to conductors with different numbers of splits. The setting of movable hinge nodes and spherical nodes ensures the multi-directional degree of freedom of the tuning ball under wind load, enabling the tuning mass subsystem to play an optimal tuning and vibration reduction role in the dominant direction of conductor vibration.

[0030] See Figure 2 , Figure 2 This is a schematic diagram of the structure of the viscoelastic damper provided by the present invention. The viscoelastic damper provided by the present invention also includes a linear guide rail 3-2, a linear spring and a damping component nested on the linear guide rail; one end of the linear spring is connected to the spacer frame through a movable hinge node, and the other end of the linear spring is connected in series with the damping component; one end of the damping component is connected in series with the linear spring, and the other end of the damping component is connected to the tuning ball through a spherical node.

[0031] In this embodiment, the linear guide rail refers to a track structure that provides linear guidance for the moving components inside the viscoelastic damper. The linear guide rail constrains the movement direction of the linear spring and damping components in the viscoelastic damper, causing them to expand and contract along a predetermined straight line, preventing lateral bending or instability. In this embodiment, the damping component is nested on the linear guide rail, meaning the damping component is installed on the outer periphery of the linear guide rail in a nested manner. This nesting structure allows the damping component to reciprocate along the axial direction of the guide rail under its guidance, while being supported and limited by the guide rail. In this embodiment, the series connection means that one end of the linear spring is sequentially connected to one end of the damping component. External force is transmitted from the linear spring to the damping component or from the damping component to the linear spring, and both bear the same load. In the series connection, the deformation of the linear spring and the deformation of the damping component are superimposed, and the total deformation is the sum of their deformations, resulting in equal total forces.

[0032] For example, the linear guide is a rod-shaped or tubular guide extending axially along the viscoelastic damper. A linear spring and a damping component are sequentially sleeved on the outer periphery of the guide and are capable of reciprocating sliding or deformation along the axial direction of the guide. One end of the linear spring is connected to the spacer frame via a movable hinge joint, and the other end of the linear spring is connected in series with the damping component. For example, one end of the linear spring is connected to the movable hinge joint, which is then connected to the spacer frame; the other end of the linear spring abuts against or is fixedly connected to one end of the damping component.

[0033] One end of the damping component is connected in series with the linear spring, and the other end of the damping component is connected to the tuning ball via a spherical node. For example, one end of the damping component is connected in series with the end of the linear spring, and the other end of the damping component is connected to the spherical node, which in turn is connected to the tuning ball.

[0034] As the tuning ball moves relative to the spacer frame, the external force is transmitted sequentially through the spherical nodes to the damping component and then to the linear spring. Since the linear spring and damping component are connected in series, they experience the same force and undergo their respective deformations. The linear spring provides elastic restoring force, while the damping component dissipates vibrational energy as heat through internal friction of its molecules. The linear guide rail constrains the direction of motion of the linear spring and damping component, ensuring that deformation occurs axially and preventing lateral bending or buckling.

[0035] For example, the damping component can be made of multilayer damping rubber, which is nested on the linear guide in a stacked manner. When subjected to axial reciprocating compression, it undergoes shear deformation and dissipates vibrational energy through the internal friction between the rubber molecular chains. A linear spring is disposed at one or both ends of the damping component and connected in series with the multilayer damping rubber.

[0036] By nesting linear springs and damping components on linear guides and connecting them in series, the linear springs of the viscoelastic damper undergo elastic deformation first under large deformation conditions to absorb displacement, protecting the damping components from damage due to excessive deformation. At the same time, the linear guides ensure the stability of the motion direction, improving the fatigue life and operational reliability of the damper under long-term reciprocating loads.

[0037] See Figure 3 , Figure 3 This is a flowchart illustrating an embodiment of the wind-induced vibration control method for transmission lines based on viscoelastic damping spacers provided by the present invention. Figure 3 As shown, this embodiment includes steps 100 to 600, and the specific steps are as follows: Step 100: Obtain the static parameters of the target transmission line, apply wind speed, modal mass and modal stiffness, and determine the number of viscoelastic damping spacers to be installed based on the static parameters; Static parameters refer to the fixed geometric and physical parameters of the target transmission line, such as span, number of splits, transmission line type, mass per unit length, and outer diameter, which are determined during the line design phase. These static parameters do not change over time, or only change slowly with environmental factors (such as temperature), and are the basic data for determining the number of viscoelastic damping spacers and the frame configuration. Applied wind speed refers to the maximum expected wind speed in the area where the transmission line is located during the design reference period, usually based on a 50-year return period wind speed. Applied wind speed determines the energy input of pulsating wind loads and directly affects the selection of the mass ratio of viscoelastic damping spacers. Modal mass refers to the equivalent mass of the target transmission line under a certain natural vibration mode. Specifically, as a continuously distributed mass system, not all masses participate in the motion with the same amplitude during vibration. Modal mass is the equivalent lumped mass after weighting and adjusting the continuously distributed mass according to the mode shape, reflecting the effective inertia of the conductor participating in vibration under that mode. Modal stiffness refers to the equivalent stiffness of a conductor system under a certain natural vibration mode. Modal stiffness reflects the conductor's ability to resist deformation under that mode and is related to factors such as the conductor's elastic modulus, tension, and span, and is determined by modal analysis.

[0038] In this embodiment, firstly, the static parameters of the target transmission conductor are obtained. For example, a four-split conductor is used, the conductor type is steel-cored aluminum stranded wire, the span is 513 meters, the split spacing is 450 mm, the conductor unit length mass is 1510.3 kg / km, the outer diameter is 27.36 mm, and the elastic modulus is 69000 MPa.

[0039] Then, the modal mass and modal stiffness of the target transmission line are obtained. For example, a numerical model of the target transmission line is established. Specifically, a discretized model of the line can be established using the finite element method: the line is uniformly divided into several elements along its height direction, and each element is assigned corresponding mass and stiffness properties. Based on this, modal analysis is performed on the established numerical model, the generalized eigenvalue equations are solved, and the natural frequencies of each order of the line and their corresponding mode shapes are obtained. According to the modal mass participation coefficient of each mode, the order with the largest participation coefficient is selected as the dominant mode. In this embodiment, the first-order modal mass participation coefficient is 91.3%, that is, the first-order mode is the dominant mode, and the first-order modal mass is extracted. and first-order modal stiffness For example, for the aforementioned 513-meter span four-split conductor, the calculated first-order modal mass is 3117.3 kg and the first-order modal stiffness is 1193.7 N / m.

[0040] Simultaneously, the applicable wind speed of the target transmission line is obtained. For example, based on the meteorological conditions of the area where the line is located, a wind speed that occurs once every 50 years is used as the applicable wind speed, for example, 40 meters per second.

[0041] The number of viscoelastic damping spacers to be installed is determined based on the span length in the static parameters. For example, according to historical vibration data of transmission lines, the spacing between adjacent spacers ranges from 50 meters to 80 meters. For a conductor with a span of 513 meters, the span length is divided by the preset spacing and rounded to determine the installation quantity as 10 spacers. It is understood that the installation quantity will be adjusted accordingly when the span length changes; for example, when the span length is 500 meters and the preset spacing is 80 meters, the installation quantity can be 6 spacers. The calculation formula is: ,or, ,in, For gear distance; Preset spacing; Indicates rounding up; This indicates rounding down to the nearest integer.

[0042] This embodiment introduces modal mass and modal stiffness during the parameter acquisition stage and determines the installation quantity based on the span in the static parameters, providing accurate input data for the subsequent parameter design of viscoelastic damping spacers, thus transforming the design process from experience-oriented to data-driven.

[0043] Step 200: Based on the modal mass, the number of installations, and the total mass ratio, obtain the mass data of the tuning sphere; the total mass ratio is determined based on the applied wind speed. In this embodiment, the total mass ratio refers to the ratio of the sum of the masses of the tuning spheres of all viscoelastic damping spacers to the mass of the first mode of the target transmission conductor, denoted as . The total mass ratio is a dimensionless parameter whose value depends on the applied wind speed and reflects the relative magnitude of the tuned mass to the effective vibrating mass of the conductor. The physical meaning of the total mass ratio lies in characterizing the degree of mass matching between the tuned mass subsystem and the main conductor system.

[0044] The mass data of the tuning sphere refers to the mass value of the mass sphere used to generate the tuning inertial force in a single viscoelastic damping spacer, denoted as The tuning ball is a movable component inside the spacer frame that can move relative to the surrounding structure; its mass directly affects the tuning frequency and vibration reduction effect.

[0045] Determine the total mass ratio based on the applied wind speed. For example, when the applied wind speed is below 30 m / s, the total mass ratio is 3%; when the applied wind speed is between 30 m / s and 50 m / s, the total mass ratio is determined by linear interpolation; and when the applied wind speed is above 50 m / s, the total mass ratio is 5%. For the case of an applied wind speed of 40 m / s, the total mass ratio is calculated to be 4% through interpolation. Then, the total tuning mass, i.e., the sum of the masses of all tuning balls, is calculated. Specifically, the first-order modal mass is multiplied by the total mass ratio to obtain the total tuning mass. In this embodiment, the total tuning mass = 4% × 3117.3 kg = 124.7 kg. The mass of a single tuning ball is then calculated. Specifically, the total tuning mass is divided by the number of units installed. In this embodiment, the mass of a single tuning ball = 124.7 kg ÷ 10 = 12.5 kg.

[0046] In another embodiment of the wind-induced vibration control method for transmission lines based on viscoelastic damping spacers provided by the present invention, step 200 specifically includes: Step 210: Determine the total tuning mass based on the calculation result of the modal mass to total mass ratio; Step 220: Based on the calculation results of the total tuning mass and the number of installations, obtain the mass data of the tuning ball.

[0047] In this embodiment, the total tuning mass refers to the sum of the tuning sphere masses of all viscoelastic damping spacers installed on the target transmission line. The total tuning mass is equal to the product of the modal mass and the total mass ratio, reflecting the total mass distribution of the tuning mass subsystem relative to the main conductor system.

[0048] First, modal mass Multiply by the total mass ratio The total tuning mass is obtained. Taking a four-split conductor with a span of 513 meters as an example, the modal mass is 3117.3 kg, the total mass ratio is 4%, and the total tuning mass is 3117.3 × 0.04 = 124.7 kg.

[0049] (1) Then, divide the total tuning mass by the number of installations. The mass data of each tuning ball is obtained. As shown in formula (1). In the above example, the number of installations n=10, then =124.7÷10=12.5 kg.

[0050] This embodiment distributes the total mass to each spacer bar through a two-step calculation, ensuring the consistency of the tuning mass of each spacer bar and facilitating standardized installation and application.

[0051] Step 300: Based on the first set of algorithms, perform logical solutions on the modal stiffness, the number of installations, and the total mass ratio to obtain the tuning stiffness of the tuning spring; In this embodiment, the tuning stiffness refers to the stiffness value of the tuning spring in a single viscoelastic damping spacer, denoted as The first set of algorithms refers to one or more sets of mathematical operation rules, formulas, or equations used to calculate the tuning stiffness of a tuned spring. This set of algorithms is pre-constructed based on structural dynamics and random vibration theory, with inputs including parameters such as modal stiffness, number of installations, and total mass ratio, and outputting the tuning stiffness of the tuned spring.

[0052] In another embodiment of the wind-induced vibration control method for transmission lines based on viscoelastic damping spacers provided by the present invention, step 300 specifically includes: The first algorithm set includes a first pre-built algorithm and a second pre-built algorithm; Step 310: Based on the first pre-construction algorithm and the total mass ratio, obtain the optimal tuning stiffness ratio; Step 320: Based on the second pre-construction algorithm, perform logical solutions on the modal stiffness, the number of installations, and the optimal tuning stiffness ratio to obtain the tuning stiffness of the tuning spring.

[0053] In this embodiment, the optimal tuning stiffness ratio refers to the ratio of tuning stiffness to modal stiffness that minimizes the mean square value of the conductor's wind deflection response under random wind load excitation. The optimal tuning stiffness ratio is a function of the total mass ratio, denoted as [equation missing]. The first pre-construction algorithm in this embodiment is shown in formula (2), and the second pre-construction algorithm is shown in formula (3).

[0054] (2) (3) This embodiment divides the first set of algorithms into a first pre-construction algorithm and a second pre-construction algorithm. First, it calculates the optimal tuning stiffness ratio based on the total mass ratio, and then calculates the tuning stiffness by combining the modal stiffness and the number of installations. This achieves accurate calculation of the tuning spring stiffness and reaches the optimal tuning state.

[0055] Step 400: Based on the second algorithm set, perform logical solutions on the modal stiffness, the number of installations, and the total mass ratio to obtain the viscous stiffness of the linear spring; In this embodiment, the viscous stiffness of the linear spring refers to the stiffness value of the linear spring in the viscoelastic damper, denoted as […]. The linear spring is connected in series with the damping component to provide the elastic restoring force component of the viscoelastic damper. The physical meaning of viscous stiffness lies in characterizing the elastic deformation capacity of the viscoelastic damper. The second set of algorithms refers to one or more sets of mathematical operation rules, formulas, or equations used to calculate the viscous stiffness of the linear spring. This set of algorithms is pre-constructed based on structural dynamics and random vibration theory, with inputs including modal stiffness, number of installations, and total mass ratio, and outputting the viscous stiffness of the linear spring.

[0056] The second set of algorithms includes a third pre-construction algorithm and a fourth pre-construction algorithm. The third pre-construction algorithm is used to calculate the optimal viscous stiffness ratio based on the total mass ratio. As shown in formula (4); the fourth pre-construction algorithm is used to calculate the viscous stiffness based on the modal stiffness, the number of installations and the optimal viscous stiffness ratio, as shown in formula (5).

[0057] (4) (5) Understandably, the value of viscous stiffness is less than that of tuning stiffness. This reflects that in a viscoelastic damper, the linear spring mainly plays an auxiliary elastic role, and its stiffness design needs to be coordinated with the damping components to achieve optimal energy dissipation. This embodiment achieves accurate calculation of viscous stiffness through a second set of algorithms, enabling the elastic and damping characteristics of the viscoelastic damper to be coordinated and fully utilize the energy dissipation advantages of viscoelastic materials.

[0058] Step 500: Based on the third algorithm set, perform logical solutions on the modal mass, the modal stiffness, the number of installations, and the total mass ratio to obtain the damping coefficient of the damping component; In this embodiment, the damping coefficient refers to the magnitude of the damping force generated by the damping component at a unit velocity, denoted as . The unit is Newton-second per meter. The third set of algorithms refers to one or more sets of mathematical rules, formulas, or equations used to calculate the damping coefficient of damping components. This set of algorithms is pre-constructed based on structural dynamics and random vibration theory, with inputs including parameters such as modal mass, modal stiffness, number of installations, and total mass ratio, and outputting the damping coefficient of the damping component.

[0059] The third set of algorithms includes the fifth and sixth pre-construction algorithms. The fifth pre-construction algorithm is used to calculate the optimal damping ratio based on the total mass ratio. As shown in formula (6); the sixth pre-construction algorithm is used to calculate the damping coefficient based on the modal mass, modal stiffness, number of installations and optimal damping ratio, as shown in formula (7).

[0060] (6) (7) Understandably, the value of the damping coefficient depends on the material properties and structural dimensions of the damping rubber. For example, when using multilayer damping rubber, the desired damping coefficient value can be achieved by adjusting the thickness, number of layers, and effective shear area of ​​the rubber layers.

[0061] This embodiment achieves accurate calculation of the damping coefficient through a third set of algorithms, enabling the damping component to provide appropriate damping force across the entire wind speed range, ensuring effective energy dissipation under small amplitudes while avoiding damping saturation under large amplitudes.

[0062] Step 600: Based on the installation quantity, the mass data, the tuning stiffness, the viscous stiffness, and the damping coefficient, construct a vibration reduction and control strategy to control the wind vibration of the target transmission line.

[0063] The vibration reduction control strategy in this embodiment refers to a complete scheme for guiding the installation and configuration of viscoelastic damping spacers on the target transmission line, based on calculated installation quantities, tuning ball mass data, tuning spring stiffness, linear spring viscous stiffness, and damping coefficient of the damping components. The vibration reduction control strategy covers the spacer placement, parameter settings for each component, and installation methods.

[0064] For example, for a target transmission line with a span of 513 meters, the determined vibration reduction and control strategy is as follows: 10 viscoelastic damping spacers are arranged at equal intervals within this span, with the distance between adjacent spacers being approximately 513 ÷ 11 ≈ 46.6 meters. Each viscoelastic damping spacer contains a 12.5 kg tuning ball, the tuning spring has a stiffness of 3.7 N / m, the linear spring inside the viscoelastic damper has a viscous stiffness of 1.8 N / m, and the damping coefficient of the damping component is 2.5 N·s / m. By configuring the viscoelastic damping spacers according to the above parameters and installing them on the target transmission line, the vibration of the line under pulsating wind loads can be effectively controlled.

[0065] It is understandable that in practical applications, specific parameters can be calculated according to the method of this embodiment based on the specific span, number of splits, conductor type, and applied wind speed of the target transmission line, forming a customized vibration reduction and control strategy. This embodiment integrates the design parameters calculated in the previous embodiments into a complete vibration reduction and control strategy, enabling viscoelastic damping spacers to be configured and installed according to design requirements in actual engineering projects, ensuring the realization of wind vibration control effects.

[0066] See Figure 4 , Figure 4 This is a flowchart illustrating another embodiment of the wind-induced vibration control method for transmission lines based on viscoelastic damping spacers provided by the present invention, as shown below. Figure 4 As shown, this embodiment includes steps 610 to 630, and the specific steps are as follows: Step 610: Based on the number of installations and the span of the target transmission line, determine the installation scheme of the viscoelastic damping spacer on the target transmission line. Step 620: Based on the mass data, the tuning stiffness, the viscous stiffness, and the damping coefficient, determine the component layout scheme of the viscoelastic damping spacer. Step 630: Based on the installation scheme and the component layout scheme, construct a vibration reduction and control strategy.

[0067] The installation scheme in this embodiment refers to the arrangement of viscoelastic damping spacers on the target transmission line, including the installation position of the spacers along the conductor span, the spacing between adjacent spacers, and the installation angle of the spacers on the conductor cross-section. The component layout scheme refers to the spatial configuration of the components inside a single viscoelastic damping spacer, including the arrangement and interconnection of the tuning ball, tuning spring, and viscoelastic damper within the spacer frame.

[0068] In this embodiment, the installation scheme of viscoelastic damping spacers on the target transmission line is determined based on the installation quantity and the span of the target transmission line as determined in the above embodiments. For example, for a conductor with a span of L = 513 meters and an installation quantity of 10, the installation scheme is as follows: 10 viscoelastic damping spacers are arranged at equal intervals along the span direction, and the distance between adjacent spacers is L ÷ (n + 1) = 513 ÷ 11 ≈ 46.6 meters.

[0069] Then, based on the mass data, tuning stiffness, viscous stiffness, and damping coefficient calculated in the above embodiments, the component layout scheme of the viscoelastic damping spacer is determined. For example, the component layout scheme is as follows: a tuning sphere is placed inside the spacer frame, and the tuning sphere is connected to the spacer frame via two tuning springs and two viscoelastic dampers. For a square frame used for a four-split conductor, the two tuning springs and two viscoelastic dampers are orthogonally arranged within the frame, wherein the stiffness of the tuning spring is 3.7 N / m, the viscous stiffness of the linear spring in the viscoelastic damper is 1.8 N / m, the damping coefficient of the damping component is 2.5 N·s / m, and the mass of the tuning sphere is 12.5 kg.

[0070] Finally, a complete vibration reduction and control strategy is constructed based on the installation plan and component layout plan. This vibration reduction and control strategy includes: the specific installation location on the target transmission line (installation plan), the specific parameters of each component of the viscoelastic damping spacer at each installation location (component layout plan), and the connection relationship and installation method of each component, forming a complete technical solution that can directly guide on-site construction.

[0071] This embodiment determines the installation scheme and component layout scheme respectively, and constructs a vibration reduction and control strategy accordingly. This makes the vibration reduction and control strategy include both the macroscopic spacer arrangement scheme and the microscopic component parameter configuration scheme, forming a full-scale control from the entire line to the individual spacer, ensuring the integrity and feasibility of the vibration reduction strategy.

[0072] The wind-induced vibration control system for transmission lines based on viscoelastic damping spacers provided by this invention will be described below. The wind-induced vibration control system for transmission lines based on viscoelastic damping spacers described below can be referred to in correspondence with the wind-induced vibration control method for transmission lines based on viscoelastic damping spacers described above.

[0073] Please refer to Figure 5 The present invention also provides a transmission line wind vibration control system based on a viscoelastic damping spacer, wherein the viscoelastic damping spacer includes a tuning spring, a viscoelastic damper, and a tuning ball; the viscoelastic damper includes a linear spring and a damping component; the system includes: The installation quantity determination module 501 is used to obtain the static parameters, applied wind speed, modal mass and modal stiffness of the target transmission line, and determine the installation quantity of the viscoelastic damping spacer based on the static parameters. The mass data determination module 502 is used to obtain the mass data of the tuning ball based on the modal mass, the number of installations, and the total mass ratio; the total mass ratio is determined based on the applied wind speed. The tuning stiffness determination module 503 is used to perform logical solutions on the modal stiffness, the number of installations, and the total mass ratio based on the first algorithm set to obtain the tuning stiffness of the tuning spring. The viscous stiffness determination module 504 is used to perform logical solutions on the modal stiffness, the number of installations, and the total mass ratio based on the second algorithm set to obtain the viscous stiffness of the linear spring. The damping coefficient determination module 505 is used to perform logical solutions on the modal mass, the modal stiffness, the number of installations, and the total mass ratio based on a third set of algorithms to obtain the damping coefficient of the damping component. The wind vibration control module 506 is used to construct a vibration reduction and control strategy based on the number of installations, the mass data, the tuning stiffness, the viscous stiffness, and the damping coefficient, so as to control the wind vibration of the target transmission line based on the vibration reduction and control strategy.

[0074] Optionally, the quality data determination module includes: The total tuning quality determination unit is used to determine the total tuning quality based on the calculation result of the modal quality to total quality ratio; The quality data determination unit is used to obtain the quality data of the tuning ball based on the calculation results of the total tuning quality and the number of installations.

[0075] Optionally, the tuning stiffness determination module includes: The first algorithm set includes a first pre-built algorithm and a second pre-built algorithm; The optimal tuning stiffness ratio determination unit is used to obtain the optimal tuning stiffness ratio based on the first pre-construction algorithm and the total mass ratio; The tuning stiffness determination unit is used to perform logical solutions on the modal stiffness, the number of installations, and the optimal tuning stiffness ratio based on the second pre-construction algorithm to obtain the tuning stiffness of the tuning spring.

[0076] Optionally, the wind vibration control module includes: The installation scheme determination unit is used to determine the installation scheme of the viscoelastic damping spacer on the target transmission line based on the installation quantity and the span of the target transmission line. The component layout scheme determination unit is used to determine the component layout scheme of the viscoelastic damping spacer based on the mass data, the tuning stiffness, the viscous stiffness, and the damping coefficient. The vibration reduction and control strategy construction unit is used to construct a vibration reduction and control strategy based on the installation scheme and the component layout scheme.

[0077] The embodiments described above are merely illustrative of several implementations of the present invention, and while the descriptions are specific and detailed, they should not be construed as limiting the scope of the present invention. It should be noted that those skilled in the art can make various modifications and improvements without departing from the concept of the present invention, and these modifications and improvements all fall within the scope of protection of the present invention. Therefore, the scope of protection of this patent should be determined by the appended claims.

Claims

1. A method for controlling wind-induced vibration of transmission lines based on viscoelastic damping spacers, characterized in that, The viscoelastic damping spacer includes a tuning spring, a viscoelastic damper, and a tuning ball; The viscoelastic damper includes a linear spring and a damping component; the method includes: Obtain the static parameters, applied wind speed, modal mass, and modal stiffness of the target transmission line, and determine the number of viscoelastic damping spacers to be installed based on the static parameters; The mass data of the tuning sphere is obtained based on the modal mass, the number of installations, and the total mass ratio; the total mass ratio is determined based on the applied wind speed. Based on the first set of algorithms, the modal stiffness, the number of installations, and the total mass ratio are logically solved to obtain the tuning stiffness of the tuning spring. Based on the second set of algorithms, the modal stiffness, the number of installations, and the total mass ratio are logically solved to obtain the viscous stiffness of the linear spring. Based on the third set of algorithms, the modal mass, modal stiffness, number of installations, and total mass ratio are logically solved to obtain the damping coefficient of the damping component; Based on the installation quantity, the mass data, the tuning stiffness, the viscous stiffness, and the damping coefficient, a vibration reduction and control strategy is constructed to control the wind vibration of the target transmission line.

2. The method for controlling wind-induced vibration of transmission lines based on viscoelastic damping spacers as described in claim 1, characterized in that, The process of obtaining the mass data of the tuning ball based on the modal mass, the number of installations, and the total mass ratio includes: Based on the calculation results of the modal mass to total mass ratio, the total tuning mass is determined; Based on the calculation results of the total tuning mass and the number of installations, the mass data of the tuning ball is obtained.

3. The method for controlling wind-induced vibration of transmission lines based on viscoelastic damping spacers as described in claim 1, characterized in that, The tuning stiffness of the tuning spring is obtained by logically solving the modal stiffness, the number of installations, and the total mass ratio based on the first algorithm set, including: The first algorithm set includes a first pre-built algorithm and a second pre-built algorithm; Based on the first pre-construction algorithm and the total mass ratio, the optimal tuning stiffness ratio is obtained; Based on the second pre-construction algorithm, the modal stiffness, the number of installations, and the optimal tuning stiffness ratio are logically solved to obtain the tuning stiffness of the tuning spring.

4. The method for controlling wind-induced vibration of transmission lines based on viscoelastic damping spacers as described in claim 1, characterized in that, The vibration reduction control strategy constructed based on the installation quantity, the mass data, the tuning stiffness, the viscous stiffness, and the damping coefficient includes: Based on the number of installations and the span of the target transmission line, determine the installation scheme of the viscoelastic damping spacer on the target transmission line; Based on the mass data, the tuning stiffness, the viscous stiffness, and the damping coefficient, the component layout scheme of the viscoelastic damping spacer is determined. Based on the installation scheme and the component layout scheme, a vibration reduction and control strategy is constructed.

5. The method for controlling wind-induced vibration of transmission lines based on viscoelastic damping spacers as described in claim 1, characterized in that, The viscoelastic damping spacer also includes a split conductor fixing component and a spacer frame, wherein: The split conductor fixing component is connected to the spacer frame. The number of split conductor fixing components is the same as the number of target transmission conductors. The number of split conductor fixing components is equal to the sum of the number of tuning springs and viscoelastic dampers. One end of the tuning spring is connected to the spacer frame via a movable hinge node, and the other end of the tuning spring is connected to the tuning ball via a spherical node.

6. The method for controlling wind-induced vibration of transmission lines based on viscoelastic damping spacers as described in claim 5, characterized in that, The viscoelastic damper further includes a linear guide rail; wherein: The linear spring and the damping component are nested on the linear guide rail; One end of the linear spring is connected to the spacer frame via the movable hinge node, and the other end of the linear spring is connected in series with the damping component. One end of the damping component is connected in series with the linear spring, and the other end of the damping component is connected to the tuning ball through a spherical node.

7. A wind-induced vibration control system for transmission lines based on viscoelastic damping spacers, characterized in that, The viscoelastic damping spacer includes a tuning spring, a viscoelastic damper, and a tuning ball; The viscoelastic damper includes a linear spring and a damping component; the system includes: The module for determining the number of installations is used to obtain the static parameters, applied wind speed, modal quality, and modal stiffness of the target transmission line, and to determine the number of viscoelastic damping spacers to be installed based on the static parameters. A mass data determination module is used to obtain the mass data of the tuning sphere based on the modal mass, the number of installations, and the total mass ratio; the total mass ratio is determined based on the applied wind speed. The tuning stiffness determination module is used to perform logical solutions on the modal stiffness, the number of installations, and the total mass ratio based on a first set of algorithms to obtain the tuning stiffness of the tuning spring. The viscous stiffness determination module is used to perform logical solutions on the modal stiffness, the number of installations, and the total mass ratio based on the second set of algorithms to obtain the viscous stiffness of the linear spring. The damping coefficient determination module is used to perform logical solutions on the modal mass, modal stiffness, number of installations, and total mass ratio based on a third set of algorithms to obtain the damping coefficient of the damping component. The wind vibration control module is used to construct a vibration reduction and control strategy based on the number of installations, the mass data, the tuning stiffness, the viscous stiffness, and the damping coefficient, so as to control the wind vibration of the target transmission line based on the vibration reduction and control strategy.

8. The transmission line wind vibration control system based on viscoelastic damping spacers as described in claim 7, characterized in that, The quality data determination module includes: The total tuning quality determination unit is used to determine the total tuning quality based on the calculation result of the modal quality to total quality ratio; The quality data determination unit is used to obtain the quality data of the tuning ball based on the calculation results of the total tuning quality and the number of installations.

9. The transmission line wind vibration control system based on viscoelastic damping spacers as described in claim 7, characterized in that, The tuning stiffness determination module includes: The first algorithm set includes a first pre-built algorithm and a second pre-built algorithm; The optimal tuning stiffness ratio determination unit is used to obtain the optimal tuning stiffness ratio based on the first pre-construction algorithm and the total mass ratio; The tuning stiffness determination unit is used to perform logical solutions on the modal stiffness, the number of installations, and the optimal tuning stiffness ratio based on the second pre-construction algorithm to obtain the tuning stiffness of the tuning spring.

10. The transmission line wind vibration control system based on viscoelastic damping spacers as described in claim 7, characterized in that, The wind-induced vibration control module includes: The installation scheme determination unit is used to determine the installation scheme of the viscoelastic damping spacer on the target transmission line based on the installation quantity and the span of the target transmission line. The component layout scheme determination unit is used to determine the component layout scheme of the viscoelastic damping spacer based on the mass data, the tuning stiffness, the viscous stiffness, and the damping coefficient. The vibration reduction and control strategy construction unit is used to construct a vibration reduction and control strategy based on the installation scheme and the component layout scheme.

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