CN111651892B - Large-span beta damping line anti-vibration design method based on dynamics method - Google Patents
Large-span beta damping line anti-vibration design method based on dynamics method Download PDFInfo
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Abstract
The technical scheme adopted by the invention is as follows: a large-span beta damping line anti-vibration design method based on a dynamics method is characterized by comprising the following steps of a, analyzing self-damping frequency response characteristics of a lead; b. selecting a steel-cored aluminum strand with the diameter equivalent to that of the large-span conductor as a beta damping wire; c. calculating the breeze vibration frequency range of the large-span transmission line lead; d. calculating the maximum and minimum lace lengths of the beta damping line according to the aeolian vibration frequency range of the lead; e. selecting a proper damping line frequency relative increment rate gamma within the length interval of the beta damping line lace, and calculating to obtain a lace arrangement scheme; f. mounting anti-vibration hammers at the center positions of 2-3 large edges; g. performing simulation calculation by adopting an energy balance method, and selecting an arrangement scheme with better frequency response as a recommended scheme; h. further tests verify that whether the dynamic bending strain of the rechecking lead meets the limit requirement.
Description
Technical Field
The invention relates to the technical field of power transmission line engineering, in particular to a dynamic method-based large-span beta damping line anti-vibration design method.
Background
The scale of the power system is gradually enlarged, the number of high-voltage remote power transmission lines is gradually increased, and the number of large-span lines is gradually increased. Due to the characteristics of high tower height and large span of the large-span line pole, the large-span power transmission line is more prone to severe breeze vibration than a common line, and a wire without anti-vibration protection measures can be fatigued and stranded within two weeks, so that power loss of the power transmission line is increased, power waste is caused, even a power failure accident caused by wire breakage is caused, the service life of an overhead line is seriously threatened, and even the safety of the power transmission line is seriously threatened.
The basic characteristics of breeze vibration are that the wind speed is low, the amplitude of the wire is small, the vibration frequency is high, the vibration mode is a sine beat wave, the probability of vibration is high, and the wire is generally considered to be always in a breeze vibration state. If the breeze vibration of the line is improperly controlled, faults such as wire fatigue and strand breakage, hardware wear, damage of tower members and the like of the power transmission line are very easy to occur, and great harm is brought to the safety of the line. The anti-vibration design scheme of the large-span line is complex, most of the anti-vibration design schemes are determined through tests, the design initiative is poor, and once a fault occurs, the repair is difficult. According to the project, through theoretical and experimental analysis, researches on breeze vibration characteristics and anti-vibration technology of a large-span lead of an overhead transmission line are deeply developed, the practical requirements of restraining and controlling strand breakage of the transmission lead are closely surrounded, the disciplinary frontier of researching the breeze vibration and the stress characteristics of the transmission lead is tightly buckled, the important theoretical significance and the important engineering application value are achieved, and the design and construction level of the transmission line in China is improved.
Disclosure of Invention
The invention aims to provide a dynamic method-based large-span beta damping line anti-vibration design method aiming at the defects of the prior art.
The technical scheme adopted by the invention is as follows: a large-span beta damping line anti-vibration design method based on a dynamics method is characterized by comprising the following steps:
a. analyzing the self-damping frequency response characteristic of the lead;
b. selecting a steel-cored aluminum strand with the diameter equivalent to that of the large-span conductor as a beta damping wire;
c. calculating the breeze vibration frequency range of the large-span transmission line lead;
d. calculating the maximum and minimum lace lengths of the beta damping line according to the aeolian vibration frequency range of the lead;
e. selecting a proper damping line frequency relative increment rate gamma within the length interval of the beta damping line lace, and calculating to obtain a lace arrangement scheme;
f. and 2-3 large flanges are selected to be provided with the damper at the center.
In the above technical scheme, in the step a, a frequency response characteristic curve of the lead when the large-span power transmission line has no anti-vibration scheme is obtained through simulation analysis or experimental research to judge whether the anti-vibration scheme needs to be installed, and if the anti-vibration scheme is judged to be 'needed', the subsequent steps are performed.
In the technical scheme, more than one steel-cored aluminum strand with different types is selected as the beta damping wire in the step b; c-, respectively calculating and designing the selected beta damping lines of different models in the step c-; further comprising a step g: and b, respectively calculating the frequency response curves of the dynamic bending strain of the beta damping lines after calculation and design in the steps b-e by adopting an energy balance method simulation, and selecting the beta damping line with better frequency response as a recommended scheme.
In the technical scheme, the method further comprises a step h of obtaining a frequency response curve of the dynamic bending strain of the beta damping wire through further test verification, and checking whether the dynamic bending strain of the wire meets the standard requirement or not.
In the above technical solution, the calculation formula of the frequency range of the breeze vibration of the beta damping wire in step c is as follows:
wherein f is the Strouhal frequency or the impact frequency, S is the Strouhal number, and D is the wire diameter; v is the measured wind speed of the region where the large-span power transmission line is located.
In the above technical solution, in step d, the maximum value and the minimum value of the breeze vibration frequency range of the β damping line are substituted into the following formula to obtain the maximum and minimum lace lengths of the β damping line:
in the formula, R is different lace sag coefficients, mc is the unit mass of the type of the lead, and EI is the effective bending rigidity of the lead.
In the above technical solution, in step e, the lace length interval obtained in step c is divided by taking 0.1 meter as an interval, so as to obtain 1+ (Lmax-Lmin)/0.1 lace lengths, and a plurality of lace lengths are obtained by dividing with a frequency of (10 + i)% (i =0,1,2.. 20) relative increment rate; wherein, the initial value of i is 0, and 1 is added after each calculation till 20 is added; lmax and Lmin denote the β damper line maximum and minimum lace lengths, respectively: calculating the dynamic bending strain of the lace length under each relative increment rate, if the dynamic bending strain is less than 120 mu epsilon, storing, and then calculating the next time; and finally comparing the dynamic bending strain peak values of all the calculation results, wherein the comparison standard is that the dynamic bending strain peak value is lower and the dynamic bending strain peak value is better so as to obtain the optimal lace length and number, wherein the total lace length is smaller than the installation end grade distance of the spacer.
According to the design method, on the basis of integrating and using a large number of related research results at home and abroad, the design experience of restraining the aeolian vibration of the traditional power transmission line is combined, and the problems of aeolian vibration and energy consumption of a large-span power transmission line beta damping line system are deeply researched by combining theoretical analysis and model test, so that the large-span beta damping line vibration-proof design method based on a dynamic method is provided. The design steps are as follows: analyzing the self-damping frequency response characteristic of the lead; determining the line type of the beta damping line; determining the length range of the beta damping line lace; determining the number of the lace of the beta damping line; arranging the damper; comparing the selection schemes in a simulation mode; and (5) carrying out test verification on the recommended scheme. Step a determines that the beta damping wire is a steel-cored aluminum strand wire with the same diameter as the large-span wire, and provides a clear reference for beta damping wire type selection. And b-d, a method for determining the length distribution and the number of laces is provided, a theoretical basis is provided for the design of the beta damping wire, the initiative of the design is improved, and the repair of the fault is data-based. And e, a better anti-vibration effect can be achieved by adopting a combined anti-vibration method of the anti-vibration hammer and the beta damping wire. According to the invention, through theoretical research and experimental analysis, researches on the anti-vibration characteristic and the design method of the beta damping wire of the large-span power transmission line are deeply developed, so that the practical requirements of restraining and controlling the broken strand of the power transmission line conductor are tightly surrounded, the disciplinary frontier of the research on the breeze vibration characteristic of the power transmission line conductor is tightly buckled, the important theoretical significance and the important engineering application value are achieved, and the design and construction level of the power transmission line in China is improved.
Drawings
FIG. 1 is a flow chart of a dynamic method-based large-span beta damping line anti-vibration design method.
Fig. 2 is a flow chart of the design of the beta damping line lace.
Fig. 3 is a comparison graph of dynamic bending strain of the mountain river yellow river large-span combined anti-vibration scheme.
Fig. 4 is a comparison graph of dynamic bending strain of the upward line long river and large span combined anti-vibration scheme.
Detailed Description
The invention will be further described in detail with reference to the following drawings and specific examples, which are not intended to limit the invention, but are for clear understanding.
Fig. 1 shows a dynamic method-based large-span beta damping line anti-vibration design method flow.
The method comprises the following steps of firstly, obtaining a frequency response characteristic curve of a lead without a vibration-proof scheme through simulation analysis or experimental research, and judging whether the vibration-proof scheme needs to be installed or not; selecting the steel-cored aluminum strand with the diameter equivalent to that of the large-span lead as a beta damping wire; determining the aeolian vibration frequency range of the lead in the large-span power transmission line through a frequency calculation formula; step four, calculating to obtain the maximum and minimum lace lengths of the beta damping line through a lace length calculation formula; step five, carrying out comparison calculation analysis by adopting an improved energy method, and selecting a proper damping line frequency relative increment rate gamma so as to determine a distribution scheme of the lengths and the number of the laces of the two groups of beta damping lines; sixthly, mounting vibration dampers at the center positions of 2-3 large edges to enhance the low-frequency vibration-proof effect; step seven, adopting an energy balance method to simulate and calculate a frequency response curve of the dynamic bending strain of the lead after adopting the combined anti-vibration scheme, and selecting an arrangement scheme with better frequency response as a recommended scheme; and step eight, further testing and verifying to obtain a frequency response curve of the dynamic bending strain of the wire, and rechecking whether the dynamic bending strain of the wire meets the standard requirement.
In the third step, the calculation formula of the breeze vibration frequency range of the beta damping line is as follows:
in the formula, f is the Strouhal frequency or the impact frequency, S is the Strouhal number (the Strouhal number is a similarity criterion introduced when discussing physical similarity and modeling in fluid mechanics), D is the diameter of a wire, v is the measured wind speed of the region where the large-span power transmission line is located, and the wind speed is measured and obtained by an anemometer.
In the fourth step, the maximum value and the minimum value of the breeze vibration frequency range of the beta damping line are substituted into the following formula to obtain the maximum lace length and the minimum lace length of the beta damping line:
wherein R is different lace sag coefficients, mcEI is the effective bending stiffness of the wire, which is the unit mass of the wire of that type.
In the fifth step, the lace length interval obtained in the step c is divided by taking 0.1 meter as an interval to obtain 1+ (Lmax-Lmin)/0.1 lace lengths, and a plurality of lace lengths are obtained by dividing the relative increasing rate of the frequency of (10 + i)% (i =0,1,2.. 20), wherein gamma is (10 + i)%. The initial value of i is 0,1 is added after each calculation till 20 is finished; calculating the dynamic bending strain of the lace length under each relative increment rate, if the dynamic bending strain is less than 120 mu epsilon (mu epsilon, a micro-strain unit symbol, which represents the relative change of the length, mu epsilon = mu m/m), storing, and then calculating the next time; finally, comparing the dynamic bending strain peak values of all the calculation results (the comparison standard is that the dynamic bending strain peak value is lower and the dynamic bending strain peak value is superior), obtaining the lengths and the number of the two groups of superior laces, wherein the total length of the laces is smaller than the grade of the installation end of the spacer. (the final output calculation result is the length of the lace, the number of the lace is not particularly required, and the total length of the lace is ensured to be smaller than the grade distance of the installation end of the spacer.)
Fig. 2 shows a specific flow chart of the design of the beta damping line lace. It is suggested to give 2 preferred arrangements for later selection.
Fig. 3 shows a comparison curve of bending strain of the mountain river yellow river large-span combined anti-vibration scheme. Fig. 4 shows a dynamic bending strain comparison curve of the upward long-river large-span combined anti-vibration scheme.
Based on fig. 3 and fig. 4, it can be seen that compared with the original anti-vibration design scheme, the anti-vibration effect of the design method is slightly poor, but the proposed preliminary anti-vibration scheme can basically meet the anti-vibration requirement of the large-span power transmission line.
According to the design method of the anti-vibration scheme of the beta damping line, the anti-vibration scheme of the beta damping line is designed by taking the large span of the yellow river of the Yangtze river and the large span of the long river of the upward line as examples, and typical calculations are shown in table 1, and main technical parameters of the lead wire and the ground wire are shown in table 2.
TABLE 1 typical examples
TABLE 2 main technical parameters of ground wire
(1) Analysis of self-damping frequency response characteristics of lead
Through simulation analysis, when no anti-vibration scheme is adopted, the maximum dynamic bending strain values at the outlets of the suspension clamps of the two examples are both greater than the dynamic bending strain limit value, so that the anti-vibration scheme is required to limit the breeze vibration of the wire.
(2) Beta damping line type determination
According to the types of the large-span yellow river and the large-span upward river lead, the damping wire types are selected to be JL/G3A-1000/45 and JL/G2A-720/50 respectively.
(3) Conductor aeolian vibration frequency range determination
According to the formulaDetermining the aeolian vibration frequency range of the guide line of the mountain river large span and the upward line long river large span as [2.27, 45.43 ]]、[2.53,50.53],
(4) Beta damper line lace length range determination
According to the range of the aeolian vibration frequency of the lead, the lengths of the maximum lace and the minimum lace of the beta damping line are calculated to be 4.2m/1.2m and 3.9m/1.1m respectively.
(5) Beta damper line lace number determination
The length intervals of damping line laces used by the large span of the mountain river and the large span of the upward line and the long river are [1.2,4.2], [1.1,3.9], a proper relative increment rate gamma is selected according to the determination and optimization method of the quantity of the beta damping line laces in the figure 2, the length distribution of the beta damping line laces is obtained, and the distribution is compared with the lace arrangement scheme of the original vibration-proof design scheme and is listed in a table 3.
(6) Arrangement of damper
The span of the Yangtze river is 1037m, and the vibration damper is installed at the center of 1-2 large edges, namely the vibration damper is installed at 3.1m and 7.1m; the span distance towards the upper Yangtze river is 1733m, and in order to enhance the anti-vibration effect, the anti-vibration hammer is installed at the center of 1-3 large flanges, namely the installation positions of the anti-vibration hammer are 2.95m, 6.65m and 10.0m.
(7) Comparison scheme simulation comparison
The dynamic bending strain frequency response curves of the lead after different anti-vibration schemes are adopted for the large yellow river span of the mountain river line and the large upward long river span are simulated and calculated by adopting an energy balance method and are plotted in figures 3 and 4.
(8) Recommended plan trial validation
The above vibration-proof scheme was not experimentally verified for the time being limited to the test conditions.
The obtained preliminary anti-vibration scheme of the beta damping line is compared with the original anti-vibration design scheme and listed in table 3. As can be seen from table 3, the preliminary vibration-proof design obtained by the vibration-proof design method of the present subject is not very different from the original vibration-proof design. As can be seen from fig. 3 and 4, compared with the original vibration-proof design scheme, the vibration-proof scheme of the present invention has a slightly superior vibration-proof effect, and can meet the vibration-proof requirement of a large-span power transmission line.
TABLE 3 comparison of typical example vibration-proof schemes
It will be understood by those skilled in the art that the foregoing is only an exemplary embodiment of the present invention, and is not intended to limit the invention to the particular forms disclosed, since various modifications, substitutions and improvements within the spirit and scope of the invention are possible and within the scope of the appended claims.
Claims (5)
1. A large-span beta damping line anti-vibration design method based on a dynamics method is characterized by comprising the following steps:
a. analyzing the self-damping frequency response characteristic of the lead;
b. selecting a steel-cored aluminum strand with the diameter equivalent to that of the large-span conductor as a beta damping wire;
c. calculating the breeze vibration frequency range of the large-span transmission line lead;
d. calculating the maximum and minimum lace lengths of the beta damping line according to the breeze vibration frequency range of the lead;
e. selecting a proper damping line frequency relative increment rate gamma within the length interval of the beta damping line lace, and calculating to obtain a lace arrangement scheme;
f. mounting anti-vibration hammers at the center positions of 2-3 large edges;
and d, substituting the maximum value and the minimum value of the breeze vibration frequency range of the wire into the following formula to obtain the maximum and minimum lace lengths of the beta damping wire:
wherein R is the sag coefficients of different laces, mcEI is the effective bending stiffness of the wire;
in the step e, dividing the lace length interval obtained in the step d by taking 0.1 meter as an interval to obtain 1+ (Lmax-Lmin)/0.1 lace length, and dividing by a relative increment rate of (10 + i)% of frequency to obtain a plurality of lace lengths; wherein, i =0,1,2.. 20, the initial value of i is 0, and 1 is added after each calculation till 20 is added; lmax and Lmin denote the β damper line maximum and minimum lace lengths, respectively: calculating the dynamic bending strain of the lace length under each relative incremental rate, if the dynamic bending strain is less than 120 mu epsilon, storing, and then calculating the next time; and finally comparing the dynamic bending strain peak values of all the calculation results, wherein the comparison standard is that the dynamic bending strain peak value is lower and the dynamic bending strain peak value is better so as to obtain the optimal lace length and number, wherein the total lace length is smaller than the installation end grade distance of the spacer.
2. The dynamic-method-based large-span beta damping line anti-vibration design method as claimed in claim 1, wherein in the step a, a frequency response characteristic curve of a lead of the large-span transmission line without an anti-vibration scheme is obtained through simulation analysis or experimental research to judge whether the anti-vibration scheme needs to be installed, and if the anti-vibration scheme is judged to be 'needed', the subsequent steps are performed.
3. The dynamic method-based large span beta damping wire anti-vibration design method according to claim 1, wherein more than one steel-cored aluminum strand with different types is selected as the beta damping wire in step b; c, calculating and designing the steps c-f for the selected beta damping lines of different models respectively; further comprising a step g: and b, respectively calculating the frequency response curves of the dynamic bending strain of the beta damping lines after calculation and design in the steps b-e by adopting an energy balance method simulation, and selecting the beta damping line with better frequency response as a recommended scheme.
4. The dynamic method-based large-span anti-vibration design method for the beta damping wire is characterized by further comprising a step h of obtaining a frequency response curve of the dynamic bending strain of the beta damping wire through further test verification, and checking whether the dynamic bending strain of the composite lead meets the standard requirement or not.
5. The dynamic method-based large-span beta damping line anti-vibration design method according to claim 1, wherein the calculation formula of the breeze vibration frequency range of the wire in the step c is as follows:
wherein f is the Strouhal frequency or the impact frequency, S is the Strouhal number, and D is the wire diameter; v is the measured wind speed of the region where the large-span power transmission line is located.
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