CN109936107B - Power transmission line frequency-staggering coupling vibration attenuation control method - Google Patents
Power transmission line frequency-staggering coupling vibration attenuation control method Download PDFInfo
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- CN109936107B CN109936107B CN201910249672.9A CN201910249672A CN109936107B CN 109936107 B CN109936107 B CN 109936107B CN 201910249672 A CN201910249672 A CN 201910249672A CN 109936107 B CN109936107 B CN 109936107B
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Abstract
The invention discloses a transmission line cross-frequency coupling vibration attenuation control method. The method mainly changes the traditional power transmission line original configuration with the same three-phase power transmission line paying-off tension, the same sag and the parallel trend into a power transmission line vibration damping configuration with the three-phase paying-off tension difference, wherein the tension difference causes the frequency difference of three-phase spring vibrators to be different, and the vibration damping control of the whole system is realized through the frequency mismatch and coupling of interphase vibrators; the sag change amplitude of the power transmission line vibration reduction structure relative to the original structure is controlled within a proper range, so that the safe operation of the line is guaranteed, and the line type is integrally coordinated and attractive. The invention better solves the problem of vibration control of the large-span flexible structure by adjusting the paying-off tension of the three-phase power transmission line.
Description
Technical Field
The invention belongs to the technical field of large-span flexible structure vibration reduction, and particularly relates to a transmission line cross-frequency coupling vibration reduction control method based on paying-off tension differentiation.
Background
The invention discloses a multi-vibrator coupling transmission line vibration damping system (Z L201710260918.3). The invention provides a simple and effective method for realizing frequency mismatch, coupling strength and time delay, which is three key factors for realizing amplitude death, and can enable the whole transmission line system to reach an optimal state by adjusting the three parameters, thereby realizing the amplitude death of the transmission line and achieving the aim of vibration damping control.
Disclosure of Invention
The invention aims to provide a transmission line staggered-frequency coupling vibration attenuation control method which can better solve the problem of large-span flexible structure vibration control, namely, the paying-off tension of a three-phase transmission line is adjusted, the difference of the tension causes the frequency difference of a three-phase spring vibrator to be different, and the vibration attenuation control of the whole system is realized through the frequency mismatch and coupling of interphase vibrators.
The purpose of the invention is realized by the following technical scheme:
the staggered-frequency coupling vibration attenuation control method for the power transmission line is a differential vibration attenuation control method based on the paying-off tension of the power transmission line provided with the spacer; the power transmission line with the spacers is characterized in that each phase of power transmission line is provided with a plurality of spacers, the spacers separate the four-bundle conductors of each phase of power transmission line at intervals, and the three-phase power transmission lines are also provided with interphase spacers; the method is characterized in that: the method comprises the steps that the traditional power transmission line original configuration with the same three-phase power transmission line paying-off tension, the same sag and the parallel trend is changed into a power transmission line vibration damping configuration with the differentiated three-phase paying-off tension, the frequency difference of three-phase spring vibrators is differentiated due to the tension differentiation, and the vibration damping control of the whole system is realized through the frequency mismatch and coupling of interphase vibrators; the sag change amplitude of the power transmission line vibration reduction structure relative to the original structure is controlled within a proper range, so that the safe operation of the line is guaranteed, and the line type is integrally coordinated and attractive.
The specific method for controlling the sag change amplitude of the transmission line vibration damping configuration relative to the original configuration within a proper range is as follows: the paying-off tension of the power transmission line with the highest spatial position of one phase is adjusted up by 3% -5%, and the paying-off tensions of the power transmission lines with the other two phases are uniformly adjusted down by 3% -5%; or the paying-off tension of the one-phase power transmission line with the highest spatial position is kept unchanged, and the paying-off tensions of the other two-phase power transmission lines are uniformly reduced by 6-10%.
Further, the difference between the pay-off tension of the power transmission line with the highest spatial position in one phase and the pay-off tension of the power transmission lines with the other two phases is controlled to be 10%. Therefore, the cross-frequency coupling vibration reduction effect of the whole system is very obvious, and even the optimal control state close to amplitude death is achieved.
Specifically, the relation between the paying-off tension of the power transmission line and the sag of the power transmission line is shown as formula (1):
in the formula (1), T is the paying-off tension of the power transmission line, m is the equivalent mass of a single-phase power transmission line unit length, L is the span of the power transmission line, and h is the sag of the power transmission line;
the change value of the paying-off tension of the single-phase power transmission line after the sag adjustment can be calculated according to the formula (1).
Specifically, the relationship between the out-of-plane and in-plane vibration frequency of the power transmission line and the paying-off tension thereof is shown in the formulas (2) and (3):
in the formulas (2) and (3), T is the paying-off tension of the power transmission line, m is the equivalent mass of the single-phase power transmission line per unit length, L is the span of the power transmission line, and FnFor the out-of-plane vibration frequency, f, of the n-order surface of the transmission linenThe frequency is the antisymmetric vibration frequency in the n-order surface of the power transmission line;
the change value of the vibration frequency of the power transmission line caused by the change value of the pay-off tension of the power transmission line can be calculated by the formulas (2) and (3).
The vibration reduction method breaks through the conventional design idea, namely in the design process of a common overhead transmission line, the paying-off tension of the three-phase line takes the same value, the three-phase line has the same configuration and is parallel after construction, and the small difference of the paying-off tension of the three phases is utilized to realize the cross-frequency coupling vibration reduction of the whole system. Experimental research shows that by adopting the vibration reduction method, when the difference of the paying-off tension of the three-phase line reaches 10%, the cross-frequency coupling vibration reduction effect of the whole system is very obvious, and even the optimal control state close to amplitude death is achieved.
Drawings
Fig. 1 is a schematic structural diagram of a three-phase four-split power transmission line provided with a spacer.
Figure 2 is an enlarged view of a portion of the four-split conductor of figure 1 with spacers.
Fig. 3 is a schematic diagram of a multi-vibrator coupling dynamics system of the three-phase power transmission line of the three-phase four-split power transmission line shown in fig. 1.
Fig. 4 is a schematic diagram of the three-phase four-split transmission line shown in fig. 1, to which the method of the present invention is applied.
Detailed Description
The present invention will be described in further detail with reference to the accompanying drawings and examples.
Referring to fig. 1, in fig. 1, 2, 3 and 4 respectively represent a first, a second and a third phase quadripartion conductor transmission lines, 7, 8 and 9 respectively represent interphase spacers arranged between the first, the second and the third phase quadripartion conductor transmission lines, L is a span of the transmission lines, and L1, L2 and L3 respectively represent intervals at which the interphase spacers 7, 8 and 9 are arranged in the line direction, for a structural schematic diagram of a three-phase quadripartion transmission line provided with a spacer 6.
In order to avoid loss of generality, the embodiment of the invention is described by taking a three-phase four-split transmission line as shown in fig. 1 as an example, an enlarged view of a four-split conductor part 5 with a spacer 6 is shown in fig. 2, and in fig. 2, 1 represents a four-split conductor of a certain phase. Considering the spacer 6 as a mass, the power line generates a non-linear elastic restoring force when the spacer 6 is displaced, so that the single spacer and the connected power line can be simplified into a non-linear spring oscillator. Each phase transmission line is provided with a plurality of spacer oscillators, and the three-phase transmission line forms a large multi-oscillator coupling dynamic system through the phase spacers 7, 8 and 9, as shown in figure 3.
Referring to fig. 4, the specific process and principle of the method for controlling the power transmission line cross-frequency coupling vibration attenuation of the present invention are described as follows:
as can be seen from fig. 4, the original configuration of the 2, 3, 4 three-phase transmission line is: the three-phase power transmission line adopts a conventional design with the same three-phase paying-off tension, and has the same sag and parallel trend.
10. The three- phase transmission lines 11 and 12 are transmission line vibration reduction structures respectively corresponding to the three- phase transmission lines 2, 3 and 4 after the method is adopted: the optimized design of three-phase paying-off tension differentiation is adopted, the frequency difference of the three-phase spring oscillator can be differentiated due to the tension differentiation, and the vibration damping control of the whole system is realized through the frequency mismatch and coupling of the interphase oscillators.
In fig. 4, 13, 14, and 15 are sag variation amplitudes of the three-phase transmission line vibration damping configuration relative to the original configuration, and as can be seen from fig. 4, the amplitude of the first-phase four-bundle conductor transmission line 2 is modulated greatly in the paying-off tension, and the sag is reduced; the paying-off tension of the second-phase four-split conductor power transmission line 3 is reduced, and the sag is increased; the paying-off tension of the third-phase four-split conductor power transmission line 4 is reduced, and the sag is enlarged; the change range of the sag is properly controlled, the safe operation of the line is guaranteed, and the line type is integrally coordinated and attractive.
In the design process of a common overhead transmission line, the paying-off tension of a three-phase line generally takes the same value, so that the three-phase line has the same configuration and runs in parallel after construction. The vibration reduction method breaks through the conventional design idea, and realizes the cross-frequency coupling vibration reduction of the system by utilizing the small difference of the three-phase paying-off tension. Experimental research shows that when the difference of the paying-off tension of the three-phase line reaches 10%, the cross-frequency coupling vibration reduction effect of the whole system is very obvious, and even the optimal control state close to amplitude death is achieved.
The relationship between the out-plane and in-plane vibration frequency of the transmission line and the pay-off tension is as follows:
in the formulas (2) and (3), T is the paying-off tension of the power transmission line, m is the equivalent mass of the single-phase power transmission line unit length, and L is the gear of the power transmission lineDistance, FnFor the out-of-plane vibration frequency, f, of the n-order surface of the transmission linenIs the antisymmetric vibration frequency in the n-order surface of the power transmission line.
As can be seen from the equations (2) and (3), in a normal large-span multi-split power transmission line system, when the line tension of a certain phase power transmission line is increased or decreased by 10%, the vibration frequency of each step is increased or decreased by about 5%, and the frequency of the spring oscillator on the phase power transmission line is increased or decreased accordingly. The difference of the frequency of the spring vibrators between the phases means that synchronous vibration is difficult to occur to each phase vibrator in the whole system vibration process, and the asynchronism can cause mutual dragging and restriction of the phase vibrators and the dispersed transmission and dissipation of vibration energy, so that the aim of vibration damping control is fulfilled.
The relationship between sag and payoff tension is as follows:
in the formula (1), T is the paying-off tension of the power transmission line, m is the equivalent mass of a single-phase power transmission line unit length, L is the span of the power transmission line, and h is the sag of the power transmission line.
According to the formula (1), in a common large-span multi-split power transmission line system, when the pay-off tension of a certain phase of power transmission line is increased or decreased by 10%, the mid-span sag is decreased or increased by about 10%. The 10% sag change has no obvious influence on the line type of the power transmission line, and the overall coordination and the attractiveness of the three-phase line can be guaranteed. The line safety operation, the construction convenience and other reasons are comprehensively considered, the paying-off tension of the phase with the highest spatial position can be adjusted up by 3% -5% and the paying-off tension of the other phases can be adjusted down by 3% -5% in a unified mode during specific operation, or the paying-off tension of the phase with the highest spatial position can be kept unchanged and the paying-off tension of the other phases can be adjusted down by 6% -10% in a unified mode.
Claims (4)
1. A transmission line cross-frequency coupling vibration damping control method is characterized in that a plurality of spacers are arranged on each phase of transmission line, the spacers separate four-bundle conductors of each phase of transmission line at intervals, and phase-to-phase spacers are also arranged among three-phase transmission lines; the method is characterized in that: the traditional power transmission line original configuration with the same three-phase power transmission line paying-off tension, the same sag and the parallel trend is changed into a power transmission line vibration damping configuration with the three-phase paying-off tension difference, the paying-off tension of the power transmission line with the highest spatial position of one phase is adjusted up by 3% -5%, and the paying-off tensions of the other two-phase power transmission lines are uniformly adjusted down by 3% -5%; or the paying-off tension of the one-phase power transmission line with the highest spatial position is kept unchanged, and the paying-off tensions of the other two-phase power transmission lines are uniformly reduced by 6-10%; the frequency difference of the spacer oscillator is caused by the tension difference, and the vibration reduction control of the whole system is realized through the frequency mismatch and coupling of the interphase spacer oscillator.
2. The transmission line cross-frequency coupling vibration attenuation control method according to claim 1, characterized in that: the difference between the pay-off tension of the power transmission line with the highest spatial position in one phase and the pay-off tension of the power transmission lines with the other two phases is controlled to be 10%.
3. The transmission line cross-frequency coupling vibration attenuation control method according to claim 2, characterized in that: the relation between the paying-off tension of the power transmission line and the sag of the power transmission line is shown as the formula (1):
in the formula (1), T is the paying-off tension of the power transmission line, m is the equivalent mass of a single-phase power transmission line unit length, L is the span of the power transmission line, and h is the sag of the power transmission line;
the change value of the paying-off tension of the single-phase power transmission line after the sag adjustment can be calculated according to the formula (1).
4. The transmission line cross-frequency coupling vibration attenuation control method according to claim 3, characterized in that: the relations between the out-of-plane and in-plane vibration frequency of the power transmission line and the paying-off tension thereof are shown in formulas (2) and (3):
in the formulas (2) and (3), T is the paying-off tension of the power transmission line, m is the equivalent mass of the single-phase power transmission line per unit length, L is the span of the power transmission line, and FnFor the out-of-plane vibration frequency, f, of the n-order surface of the transmission linenThe frequency is the antisymmetric vibration frequency in the n-order surface of the power transmission line;
the change value of the vibration frequency of the power transmission line caused by the change value of the pay-off tension of the power transmission line can be calculated by the formulas (2) and (3).
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Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| DE2534020A1 (en) * | 1975-07-28 | 1977-02-24 | Mannesmann Roehren Werke Ag | Spacer and oscillation damper for overhead HT transmission lines - has foam-filled tube to anchor ends of spacer arms |
| CN101924338A (en) * | 2010-08-09 | 2010-12-22 | 中国电力科学研究院 | Method for suppressing dancing and alternate flashover of single-lead transmission line |
| CN106638311A (en) * | 2016-11-15 | 2017-05-10 | 湖南科技大学 | Multi-cable compounded damping cable |
| CN106898984A (en) * | 2017-04-20 | 2017-06-27 | 湖南科技大学 | Many coupling transmission line of electricity vibration insulating systems |
| CN206685856U (en) * | 2017-04-20 | 2017-11-28 | 湖南科技大学 | More coupling transmission line of electricity vibration insulating systems |
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2019
- 2019-03-29 CN CN201910249672.9A patent/CN109936107B/en active Active
Patent Citations (5)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| DE2534020A1 (en) * | 1975-07-28 | 1977-02-24 | Mannesmann Roehren Werke Ag | Spacer and oscillation damper for overhead HT transmission lines - has foam-filled tube to anchor ends of spacer arms |
| CN101924338A (en) * | 2010-08-09 | 2010-12-22 | 中国电力科学研究院 | Method for suppressing dancing and alternate flashover of single-lead transmission line |
| CN106638311A (en) * | 2016-11-15 | 2017-05-10 | 湖南科技大学 | Multi-cable compounded damping cable |
| CN106898984A (en) * | 2017-04-20 | 2017-06-27 | 湖南科技大学 | Many coupling transmission line of electricity vibration insulating systems |
| CN206685856U (en) * | 2017-04-20 | 2017-11-28 | 湖南科技大学 | More coupling transmission line of electricity vibration insulating systems |
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