A power distribution conductor anti-icing method based on simple harmonic excitation

Abstract

The application discloses a power distribution conductor anti-icing method based on simple harmonic excitation, which comprises the following steps: a quantitative analysis model of vibration characteristics of a simple harmonic exciter-power distribution conductor system is constructed by using a finite element method; according to the quantitative analysis model, a correlation between excitation parameters and positions of the simple harmonic exciter and rain and snow shedding effects is determined; and according to the correlation, an optimal excitation frequency and an optimal excitation position of the simple harmonic exciter in the quantitative analysis model are determined. Through the power distribution conductor anti-icing method based on simple harmonic excitation, the application can effectively avoid the accumulation of rain and snow on the power distribution conductor.

Description

Technical Field

[0001] This invention relates to the field of power system disaster prevention and mitigation technology, specifically a method for preventing icing of distribution conductors based on simple harmonic excitation. Background Technology

[0002] Among existing anti-icing methods, thermal de-icing of power conductors requires a large amount of electricity and has high energy costs; conductor coating methods may affect the performance of power distribution conductors and may fail due to aging or external physical damage; robotic inspection methods have high R&D and maintenance costs and are difficult to adapt to harsh weather; manual inspection methods, while reliable, require significant human resources and time. Therefore, there is an urgent need to develop a simple, efficient, and low-maintenance method for preventing power distribution conductors from icing, in order to improve the reliability and safety of power distribution conductors in cold environments.

[0003] In the prior art, patent publication number CN116960873A discloses a method for confirming resonance points and an ice-breaking device. This method uses a motor to drive a cleaning component, which in turn clamps the ground wire. The internal structure of the vibrator housing generates vibrations in the ground wire, breaking down the internal stress of the ice through resonance, thus reducing damage to the ground wire. Simultaneously, the motor allows the entire device to move, enabling further cleaning of any remaining ice. However, this ice-breaking device is designed for applications where power distribution lines are already covered in ice. While the vibrations generated by the oscillator can shake off rain and snow adhering to the power distribution lines, the optimal placement of the oscillator on a section of the line, and the appropriate number of oscillators, are not disclosed in the prior art. Summary of the Invention

[0004] The technical problem to be solved by this invention is to address the issue that the existing technology has poor effectiveness in preventing icing of power distribution conductors.

[0005] To solve the above-mentioned technical problems, the present invention provides the following technical solution: A method for preventing icing of power distribution conductors based on simple harmonic excitation includes the following steps: S100, using the finite element method, constructs a quantitative analysis model of the vibration characteristics of a simple harmonic exciter-power distribution conductor system; S200, Based on the quantitative analysis model, determine the correlation between the excitation parameters and position of the harmonic vibrator and the effect of rain and snow shedding; S300, Based on the aforementioned correlation, determine the preferred excitation frequency and preferred excitation position of the harmonic exciter in the quantitative analysis model.

[0006] Advantages: Installing a harmonic exciter on the power distribution conductors to generate periodic harmonic forces induces vibration in the conductors, resulting in vibration acceleration over a relatively long range. When the vibration acceleration of the conductors exceeds the critical acceleration for rain and snow to detach (i.e., the inertial force of the rain and snow adhering to the conductors exceeds their adhesive force), the rain and snow can detach from the conductors, effectively reducing the probability of rain and snow adhering to the conductors. This reduces icing caused by accumulated rain and snow, lowers the probability of icing, and effectively avoids equipment failures and energy transmission interruptions caused by icing of power distribution conductors.

[0007] By setting the operating parameters of the simple harmonic exciter to the optimal excitation parameters and position, the effective anti-icing length range where the vibration acceleration on the power distribution conductor is greater than the critical acceleration of rain and snow shedding can be maximized, thereby achieving the best anti-icing state for the simple harmonic exciter-power distribution conductor system.

[0008] In one embodiment of the present invention, constructing the quantitative analysis model includes the following steps: S110, Determine the spatial pole element as the simulation element of the power distribution conductor model; S120, determine the number of spatial pole units based on the unit size constraints of the spatial pole unit and the total length within the distribution conductor span. ; S130, based on the parameters of the distribution conductor and the number of spatial pole units, obtain the initial mass matrix of the distribution conductor in the chord direction of the two line towers. Initial stiffness matrix and initial stress stiffening matrix By combining the boundary conditions of the power distribution conductors, the constraint mass matrix after suppressing the boundary degrees of freedom is obtained. The constraint stiffness matrix is The constraint stress stiffening matrix is And obtain the initial finite element model of the power distribution conductor; S140, the harmonic exciter is equivalent to a point mass with concentrated mass and a harmonic excitation force. Based on the location of the harmonic exciter, the concentrated mass and the harmonic excitation force are expanded into an exciter mass matrix consistent with the dimensions of the power distribution conductor. Harmonic excitation force vector ; S150, the constraint mass matrix With the exciter mass matrix Summation yields the initial mass matrix of the harmonic exciter-distribution conductor system. The constraint stiffness matrix is The constraint stress stiffening matrix is The initial stiffness matrix of the harmonic exciter-distribution conductor system and initial stress stiffening matrix And establish an initial quantitative analysis model under harmonic force excitation; S160, based on the initial quantitative analysis model of the harmonic exciter-distribution conductor system, a form-finding analysis under gravity is performed to determine the axial force and sag at each node position on the distribution conductor. The initial stress stiffening matrix is ​​then updated and optimized based on the axial force. Based on the sag, the coordinate transformation matrix of the system is constructed, and the mass matrix of the harmonic exciter-distribution conductor system after shape finding is obtained. Stiffness matrix and stress stiffening matrix ; S170, according to the mass matrix Stiffness matrix and stress stiffening matrix A quantitative analysis model of the vibration characteristics of the harmonic exciter-distribution conductor system is obtained.

[0009] In one embodiment of the present invention, the association relationship is obtained through the following steps: S210, The inherent vibration characteristics of the harmonic exciter-power distribution conductor system are analyzed to obtain the preceding data. First natural frequency ; and ensure the previous First natural frequency The maximum natural frequency in The maximum excitation frequency of the simple harmonic exciter during operation is greater than the maximum excitation frequency of the simple harmonic exciter. ; S220, according to the previous First natural frequency minimum natural frequency To obtain the optimal step size for the excitation frequency of the harmonic exciter. ; S230, based on the preferred step size The preferred frequency sequence for obtaining the excitation frequency of the simple harmonic exciter is as follows: ,in, This is the minimum excitation frequency set for the simple harmonic exciter during operation. This is the maximum excitation frequency during the operation of the harmonic exciter; S240, based on the length of the distribution conductor between the two line towers, set the excitation position of the simple harmonic exciter. The range of traversal; S250, traverse each excitation position in the range according to the excitation position. Harmonic response analysis of the simple harmonic exciter-distribution conductor system at the excitation frequencies in the preferred frequency sequence is carried out sequentially, and the vibration response acceleration at each node on the distribution conductor is obtained by solving the problem. ;in, Number the nodes on the power distribution conductors in the quantitative analysis model. The first of the excitation frequency sequences of a simple harmonic exciter One excitation frequency; S260, based on the vibration response acceleration The critical acceleration of rain and snow falling on the power distribution conductor is used to obtain the first... Snow and rain shedding indices at each node under different excitation frequencies and locations of the harmonic exciter. This refers to the relationship between two entities.

[0010] In one embodiment of the present invention, obtaining the preferred excitation frequency and preferred excitation position of the harmonic exciter includes the following steps: S310, Select the power distribution conductor segment corresponding to each positive number in the association relationship as the effective anti-icing segment, and obtain the total length of the effective anti-icing segment on the power distribution conductor line; S320, based on the total length of the effective anti-icing section on the power distribution conductor line, obtain the anti-icing efficiency of the harmonic exciter-power distribution conductor system; S330, plot the surface showing the variation of the anti-icing efficiency of the simple harmonic exciter-power distribution conductor system with the excitation frequency and excitation position of the simple harmonic exciter, and take the excitation frequency and excitation position corresponding to the highest point on the surface as the preferred excitation frequency and preferred excitation position of the simple harmonic exciter.

[0011] In one embodiment of the present invention, the unit size limitation condition is: ; In the formula, This represents the maximum element size of the spatial rod element; The speed at which mechanical waves propagate in power distribution conductors; This is the maximum excitation frequency set for the simple harmonic exciter during operation. To limit the multiple.

[0012] In one embodiment of the present invention, the number of the space rod units It can be obtained through the following formula: ; In the formula, It is a rounding function. This refers to the total length of the power distribution conductor within the span.

[0013] In one embodiment of the present invention, the preferred step size of the excitation frequency of the harmonic exciter is... It can be obtained through the following formula: ; In the formula, This represents the sampling multiple.

[0014] In one embodiment of the present invention, the rain and snow shedding index It can be obtained through the following formula: ; In the formula, The critical acceleration for rain and snow falling off power distribution lines.

[0015] In one embodiment of the present invention, the excitation position The traversal range is: , This refers to the total length of the power distribution conductor within the span.

[0016] In one embodiment of the present invention, the anti-icing efficiency of the harmonic exciter-distribution conductor system is obtained by the following formula: ; In the formula, To prevent icing efficiency, The total length of the effective anti-icing section on the power distribution conductor line. This refers to the total length of the power distribution conductor within the span.

[0017] Compared with the prior art, the beneficial effects of the present invention are as follows: A simple harmonic exciter capable of generating periodic simple harmonic force is installed on the power distribution conductor. The simple harmonic exciter can be implemented by an inertial exciter, an electric exciter, or an electromagnetic exciter. The simple harmonic excitation force generated by the simple harmonic exciter induces the vibration of the power distribution conductor, so that the power distribution conductor over a long range obtains vibration acceleration. When the vibration acceleration of the power distribution conductor is greater than the critical acceleration for rain and snow to fall off, that is, the inertial force of the rain and snow attached to the power distribution conductor is greater than its adhesion force to the power distribution conductor, the rain and snow can be detached from the power distribution conductor, thereby effectively reducing the probability of rain and snow adhering to the power distribution conductor, reducing the icing phenomenon caused by the accumulation of rain and snow on the power distribution conductor, and reducing the probability of icing on the power distribution conductor.

[0018] The optimal excitation parameters and location of the harmonic exciter are determined so that the harmonic excitation it generates induces a large vibration acceleration over a long range on the power distribution conductor. This results in the inertial force of attached rain and snow over a large area on the power distribution conductor being greater than the adhesion force between the snow and snow and the conductor. This achieves the goal of preventing rain and snow accumulation on the power distribution conductor by fully utilizing its vibration characteristics without compromising its performance, thereby improving the reliability and safety of power resource transportation. This invention is simple to implement, has low operation and maintenance costs, high anti-icing efficiency, and strong environmental adaptability. Attached Figure Description

[0019] Figure 1 This is a flowchart of a method for preventing icing of power distribution conductors based on simple harmonic excitation, according to an embodiment of the present invention.

[0020] Figure 2 This is a schematic diagram of the sag of the simple harmonic exciter-power distribution conductor system after shape finding, according to an embodiment of the present invention.

[0021] Figure 3 The excitation frequency of the harmonic exciter in this embodiment of the invention. Excitation position The simulation results are shown in the diagram.

[0022] Figure 4 The excitation frequency of the harmonic exciter in this embodiment of the invention. Excitation position The simulation results are shown in the diagram.

[0023] Figure 5 The excitation frequency of the harmonic exciter in this embodiment of the invention. Excitation position The simulation results are shown in the diagram.

[0024] Figure 6 This is a local surface diagram showing the variation of anti-icing efficiency with excitation frequency and excitation location in an embodiment of the present invention. Detailed Implementation

[0025] To facilitate understanding of the technical solution of the present invention by those skilled in the art, the technical solution of the present invention will now be further described in conjunction with the accompanying drawings.

[0026] The terms "first" and "second" are used for descriptive purposes only and should not be construed as indicating or implying relative importance or implicitly specifying the number of technical features indicated. Therefore, a feature defined as "first" or "second" may explicitly or implicitly include one or more of that feature. In the description of this application, "multiple" means two or more, unless otherwise explicitly specified.

[0027] Please see Figure 1 As shown, this invention provides a method for preventing icing of power distribution conductors based on simple harmonic excitation, comprising the following steps: S100 uses the finite element method to construct a quantitative analysis model of the vibration characteristics of a harmonic exciter-distribution conductor system.

[0028] Specifically, constructing the quantitative analysis model includes the following steps: S110, determine the spatial pole element as the simulation element of the power distribution conductor model.

[0029] In this embodiment, each node of the space rod element has three degrees of freedom, which is often used to simulate cable structures in engineering.

[0030] S120, determine the number of spatial pole units based on the unit size constraints of the spatial pole unit and the total length within the distribution conductor span. .

[0031] The unit size limitation condition is as follows: ; In the formula, This represents the maximum element size of the spatial rod element; The speed at which mechanical waves propagate in power distribution conductors; This is the maximum excitation frequency set for the simple harmonic exciter during operation. To limit the multiplier. Specifically, to ensure the modeling accuracy and computational efficiency of the finite element method, in this embodiment, The value is 8.

[0032] The number of space rod units It can be obtained through the following formula: ; In the formula, It is a rounding function. This refers to the total length of the power distribution conductor within the span.

[0033] S130, based on the parameters of the distribution conductor and the number of spatial pole units, obtain the initial mass matrix of the distribution conductor in the chord direction of the two line towers. Initial stiffness matrix and initial stress stiffening matrix By combining the boundary conditions of the power distribution conductors, the constraint mass matrix after suppressing the boundary degrees of freedom is obtained. The constraint stiffness matrix is The constraint stress stiffening matrix is And obtain the initial finite element model of the power distribution conductor.

[0034] The parameters of the power distribution conductors include, for example, length, density, and modulus of elasticity.

[0035] S140, the harmonic exciter is equivalent to a point mass with concentrated mass and a harmonic excitation force. Based on the location of the harmonic exciter, the concentrated mass and the harmonic excitation force are expanded into an exciter mass matrix consistent with the dimensions of the power distribution conductor. Harmonic excitation force vector ; In this embodiment, the harmonic excitation force vector This is the input force used in subsequent harmonic response analysis.

[0036] S150, the constraint mass matrix With the exciter mass matrix Summation yields the initial mass matrix of the harmonic exciter-distribution conductor system. The constraint stiffness matrix is The constraint stress stiffening matrix is The initial stiffness matrix of the harmonic exciter-distribution conductor system and initial stress stiffening matrix An initial quantitative analysis model for simple harmonic force excitation was established.

[0037] S160, based on the initial quantitative analysis model of the harmonic exciter-distribution conductor system, a form-finding analysis under gravity is performed to determine the axial force and sag at each node position on the distribution conductor. The initial stress stiffening matrix is ​​then updated and optimized based on the axial force. Based on the sag, the coordinate transformation matrix of the system is constructed, and the mass matrix of the harmonic exciter-distribution conductor system after shape finding is obtained. Stiffness matrix and stress stiffening matrix .

[0038] like Figure 2 In this embodiment, based on the initial finite element model of the harmonic exciter-power distribution conductor system, the sag of each node after the shape finding of the harmonic exciter-power distribution conductor system under gravity load is obtained.

[0039] S170, according to the mass matrix Stiffness matrix and stress stiffening matrix A quantitative analysis model of the vibration characteristics of the harmonic exciter-distribution conductor system is obtained.

[0040] S200, Based on the quantitative analysis model, determine the correlation between the excitation parameters and position of the harmonic exciter and the effect of rain and snow shedding.

[0041] In this embodiment, the association relationship is obtained through the following steps: S210, The inherent vibration characteristics of the harmonic exciter-power distribution conductor system are analyzed to obtain the preceding data. First natural frequency And ensure the front First natural frequency The maximum natural frequency in The maximum excitation frequency of the simple harmonic exciter during operation is greater than the maximum excitation frequency of the simple harmonic exciter. .

[0042] Among them, the former First natural frequency middle, .

[0043] S220, according to the previous First natural frequency minimum natural frequency To obtain the optimal step size for the excitation frequency of the harmonic exciter. .

[0044] The preferred step size of the excitation frequency of the harmonic exciter It can be obtained through the following formula: ; In the formula, This represents the sampling multiple. To ensure both the accuracy and computational efficiency of the optimization, in this embodiment, The value is 4.

[0045] S230, based on the preferred step size The preferred frequency sequence for obtaining the excitation frequency of the simple harmonic exciter is as follows: ,in, This is the minimum excitation frequency set for the simple harmonic exciter during operation. This is the maximum excitation frequency during the operation of the harmonic exciter.

[0046] Please see Figure 2 The diagram shows a simple harmonic exciter-distribution conductor system, where T represents the line tower in power resource transportation, P represents the distribution conductor, and H represents the simple harmonic exciter. Figure 2 The span of the distribution conductor between the two line towers is The cross-sectional area is The elastic modulus is Mass per unit length Horizontal tension is The mass of the simple harmonic exciter used is The operating excitation frequency range is The amplitude of the excitation force is In practical implementation, the length of the rod element is selected as... With 2000 elements, the first 300 natural frequencies and mode shapes of the system were obtained through simulation analysis, where the value of the 300th natural frequency is... It completely covers the maximum operating frequency of the harmonic exciter, and the value of the first-order natural frequency. To minimize the system's natural frequency, the optimal step size for the excitation frequency of the simple harmonic exciter is chosen as follows: The preferred frequency sequence for the simple harmonic exciter is: .

[0047] S240, based on the length of the distribution conductor between the two line towers, set the excitation position of the simple harmonic exciter. The traversal range.

[0048] In this embodiment, the excitation position The traversal range is: , This refers to the total length of the power distribution conductor within the span.

[0049] S250, traverse each excitation position in the range according to the excitation position. Harmonic response analysis of the simple harmonic exciter-distribution conductor system at the excitation frequencies in the preferred frequency sequence is carried out sequentially, and the vibration response acceleration at each node on the distribution conductor is obtained by solving the problem. ;in, Number the nodes on the power distribution conductors in the quantitative analysis model. The first of the excitation frequency sequences of a simple harmonic exciter One excitation frequency.

[0050] in, This represents the number of spatial rod elements.

[0051] S260, based on the vibration response acceleration The critical acceleration of rain and snow falling on the power distribution conductor is used to obtain the first... Snow and rain shedding indices at each node under different excitation frequencies and locations of the harmonic exciter. This refers to the relationship between two entities.

[0052] The rain and snow shedding index It can be obtained through the following formula: ; In the formula, This refers to the critical acceleration of rain and snow falling onto power distribution lines. Specifically, the critical acceleration of rain and snow falling onto power distribution lines can be obtained through experimental measurements or through fluid dynamics calculations.

[0053] S300, Based on the aforementioned correlation, determine the preferred excitation frequency and preferred excitation position of the harmonic exciter in the quantitative analysis model.

[0054] Obtaining the preferred excitation frequency and preferred excitation position of the simple harmonic exciter includes the following steps: S310, Select the power distribution conductor segment corresponding to each positive number in the association relationship as the effective anti-icing segment, and obtain the total length of the effective anti-icing segment on the power distribution conductor line.

[0055] In this embodiment, based on the rain and snow shedding index at each node... When the snow and rain shedding index is positive, the vibration acceleration at that node is greater than the critical acceleration for snow and rain to fall off the power distribution conductor. This means the inertial force of the snow and rain adhering to the node is greater than their adhesion force to the power distribution conductor, preventing snow and rain particles from sticking to the node and achieving effective anti-icing. Therefore, the power distribution conductor segments corresponding to each positive value are selected as effective anti-icing segments. The total length of effective anti-icing segments on the power distribution conductor line is obtained by summing the lengths of each effective anti-icing segment. .

[0056] S320, based on the total length of the effective anti-icing section on the power distribution conductor line, obtain the anti-icing efficiency of the harmonic exciter-power distribution conductor system.

[0057] The anti-icing efficiency of the simple harmonic exciter-power distribution conductor system is obtained by the following formula: ; In the formula, To prevent icing efficiency, The total length of the effective anti-icing section on the power distribution conductor line. This refers to the total length of the power distribution conductor within the span.

[0058] S330, plot the surface showing the variation of the anti-icing efficiency of the simple harmonic exciter-power distribution conductor system with the excitation frequency and excitation position of the simple harmonic exciter, and take the excitation frequency and excitation position corresponding to the highest point on the surface as the preferred excitation frequency and preferred excitation position of the simple harmonic exciter.

[0059] Figures 3 to 5 For this embodiment, Figure 2 Under the given parameters of the power distribution conductor and the simple harmonic exciter, the excitation frequency of the simple harmonic exciter is... Excitation position Excitation frequency Excitation position and excitation frequency Excitation position The simulation results are shown in the diagram.

[0060] Figure 6 For this embodiment, Figure 2 The local surface plots shown depict the variation of anti-icing efficiency of the power distribution conductor and harmonic exciter parameters with the excitation frequency and position of the harmonic exciter. Only the excitation frequency range corresponding to a higher anti-icing efficiency is retained in the plots. By retrieving the highest point on the surface, the maximum anti-icing efficiency of the harmonic exciter-power distribution conductor system in this embodiment is found to be 86.29%, corresponding to the preferred excitation position of the harmonic exciter. The preferred excitation frequency is Therefore, the anti-icing method for power distribution conductors based on simple harmonic excitation can effectively prevent the accumulation of rain and snow on power distribution conductors, thereby improving the reliability and safety of power resource transportation.

[0061] In practice, the corresponding technical measures also include: The number of harmonic vibrators significantly affects the anti-icing effect of power distribution conductors. The number is generally selected based on the vibrator's operating parameters and the length of the power distribution conductor within each span. Multiple vibrators can provide greater vibration acceleration across multiple conductor segments, but an excessive number can lead to excessive load on the conductors. Therefore, the number of harmonic vibrators installed on each span should be no less than one and no more than [number missing]. The total mass of the harmonic exciter should not exceed 5% of the mass of the distribution conductor within the span. The excitation force amplitude of the harmonic exciter significantly affects the magnitude of the vibration acceleration it induces on the distribution conductor. Too small an excitation force amplitude makes it difficult to prevent rain and snow accumulation on the distribution conductor, while too large an excitation force amplitude will cause serious damage to the distribution conductor. Therefore, the excitation force amplitude of the harmonic exciter... satisfy .

[0062] It will be apparent to those skilled in the art that the present invention is not limited to the details of the exemplary embodiments described above, and that the invention can be implemented in other specific forms without departing from its spirit or essential characteristics. Therefore, the embodiments should be considered illustrative and non-limiting in all respects, and the scope of the invention is defined by the appended claims rather than the foregoing description. Thus, all variations falling within the meaning and scope of equivalents of the claims are intended to be included within the present invention, and no reference numerals in the claims should be construed as limiting the scope of the claims.

[0063] The above embodiments are merely examples of implementation methods of the invention. The scope of protection of the present invention is not limited to the above embodiments. For those skilled in the art, several modifications and improvements can be made without departing from the concept of the present invention, and these all fall within the scope of protection of the present invention.

Claims

1. A method for preventing icing of power distribution conductors based on simple harmonic excitation, characterized in that, Includes the following steps: S100, using the finite element method, constructs a quantitative analysis model of the vibration characteristics of a simple harmonic exciter-power distribution conductor system; S200, based on the quantitative analysis model, determine the correlation between the excitation parameters and location of the harmonic exciter and the effect of rain and snow shedding, including: S210, The inherent vibration characteristics of the harmonic exciter-power distribution conductor system are analyzed to obtain the preceding data. First natural frequency ; and ensure the previous First natural frequency The maximum natural frequency in The maximum excitation frequency of the simple harmonic exciter during operation is greater than the maximum excitation frequency of the simple harmonic exciter. ; S220, according to the previous First natural frequency minimum natural frequency To obtain the optimal step size for the excitation frequency of the harmonic exciter. ; S230, based on the preferred step size The preferred frequency sequence for obtaining the excitation frequency of the simple harmonic exciter is as follows: ,in, This is the minimum excitation frequency set for the simple harmonic exciter during operation. This is the maximum excitation frequency during the operation of the harmonic exciter; S240, based on the length of the distribution conductor between the two line towers, set the excitation position of the simple harmonic exciter. The range of traversal; S250, traverse each excitation position in the range according to the excitation position. Harmonic response analysis of the simple harmonic exciter-distribution conductor system at the excitation frequencies in the preferred frequency sequence is carried out sequentially, and the vibration response acceleration at each node on the distribution conductor is obtained by solving the problem. ;in, Number the nodes on the power distribution conductors in the quantitative analysis model. The first of the excitation frequency sequences of a simple harmonic exciter One excitation frequency; S260, based on the vibration response acceleration The critical acceleration of rain and snow falling on the power distribution conductor is used to obtain the first... Snow and rain shedding indices at each node under different excitation frequencies and locations of the harmonic exciter. This refers to the relationship between the parties involved. S300, Based on the aforementioned correlation, determine the preferred excitation frequency and preferred excitation position of the harmonic exciter in the quantitative analysis model.

2. The method for preventing icing of power distribution conductors based on simple harmonic excitation according to claim 1, characterized in that, The quantitative analysis model is constructed by the following steps: S110, Determine the spatial pole element as the simulation element of the power distribution conductor model; S120, determine the number of spatial pole units based on the unit size constraints of the spatial pole unit and the total length within the distribution conductor span. ; S130, based on the parameters of the distribution conductor and the number of spatial pole units, obtain the initial mass matrix of the distribution conductor in the chord direction of the two line towers. Initial stiffness matrix and initial stress stiffening matrix By combining the boundary conditions of the power distribution conductors, the constraint mass matrix after suppressing the boundary degrees of freedom is obtained. The constraint stiffness matrix is The constraint stress stiffening matrix is And obtain the initial finite element model of the power distribution conductor; S140, the harmonic exciter is equivalent to a point mass with concentrated mass and a harmonic excitation force. Based on the location of the harmonic exciter, the concentrated mass and the harmonic excitation force are expanded into an exciter mass matrix consistent with the dimensions of the power distribution conductor. Harmonic excitation force vector ; S150, the constraint mass matrix With the exciter mass matrix Summation yields the initial mass matrix of the harmonic exciter-distribution conductor system. The constraint stiffness matrix is The constraint stress stiffening matrix is The initial stiffness matrix of the harmonic exciter-distribution conductor system and initial stress stiffening matrix And establish an initial quantitative analysis model under harmonic force excitation; S160, based on the initial quantitative analysis model of the harmonic exciter-distribution conductor system, a form-finding analysis under gravity is performed to determine the axial force and sag at each node position on the distribution conductor. The initial stress stiffening matrix is ​​then updated and optimized based on the axial force. Based on the sag, the coordinate transformation matrix of the system is constructed, and the mass matrix of the harmonic exciter-distribution conductor system after shape finding is obtained. Stiffness matrix and stress stiffening matrix ; S170, according to the mass matrix Stiffness matrix and stress stiffening matrix A quantitative analysis model of the vibration characteristics of the harmonic exciter-distribution conductor system is obtained.

3. The method for preventing icing of power distribution conductors based on harmonic excitation according to claim 1, characterized in that, Obtaining the preferred excitation frequency and preferred excitation position of the simple harmonic exciter includes the following steps: S310, Select the power distribution conductor segment corresponding to each positive number in the association relationship as the effective anti-icing segment, and obtain the total length of the effective anti-icing segment on the power distribution conductor line; S320, based on the total length of the effective anti-icing section on the power distribution conductor line, obtain the anti-icing efficiency of the harmonic exciter-power distribution conductor system; S330, plot the surface showing the variation of the anti-icing efficiency of the simple harmonic exciter-power distribution conductor system with the excitation frequency and excitation position of the simple harmonic exciter, and take the excitation frequency and excitation position corresponding to the highest point on the surface as the preferred excitation frequency and preferred excitation position of the simple harmonic exciter.

4. The method for preventing icing of power distribution conductors based on harmonic excitation according to claim 2, characterized in that, The unit size constraint is as follows: ； In the formula, This represents the maximum element size of the spatial rod element; The speed at which mechanical waves propagate in power distribution conductors; This is the maximum excitation frequency set for the simple harmonic exciter during operation. To limit the multiple.

5. The method for preventing icing of power distribution conductors based on harmonic excitation according to claim 4, characterized in that, The number of space rod units It can be obtained through the following formula: ； In the formula, It is the floor function. This refers to the total length of the distribution conductor within the span.

6. The method for preventing icing of power distribution conductors based on harmonic excitation according to claim 1, characterized in that, The preferred step size of the excitation frequency of the harmonic exciter It can be obtained through the following formula: ； In the formula, This represents the sampling multiple.

7. The method for preventing icing of power distribution conductors based on harmonic excitation according to claim 1, characterized in that, The rain and snow shedding index It can be obtained through the following formula: ； In the formula, The critical acceleration for rain and snow falling off power distribution lines.

8. The method for preventing icing of power distribution conductors based on harmonic excitation according to claim 1, characterized in that, The excitation position The traversal range is: , This refers to the total length of the distribution conductor within the span.

9. The method for preventing icing of power distribution conductors based on simple harmonic excitation according to claim 3, characterized in that, The anti-icing efficiency of the simple harmonic exciter-power distribution conductor system is obtained by the following formula: ； In the formula, To prevent icing efficiency, The total length of the effective anti-icing section on the power distribution conductor line. This refers to the total length within the distribution conductor span. The excitation location, The first of the excitation frequency sequences of a simple harmonic exciter One excitation frequency.

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