CN108645372A - A kind of large span power transmission conducting wire suspension crawl bending strain measurement method - Google Patents
A kind of large span power transmission conducting wire suspension crawl bending strain measurement method Download PDFInfo
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- G—PHYSICS
- G01—MEASURING; TESTING
- G01B—MEASURING LENGTH, THICKNESS OR SIMILAR LINEAR DIMENSIONS; MEASURING ANGLES; MEASURING AREAS; MEASURING IRREGULARITIES OF SURFACES OR CONTOURS
- G01B21/00—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant
- G01B21/32—Measuring arrangements or details thereof, where the measuring technique is not covered by the other groups of this subclass, unspecified or not relevant for measuring the deformation in a solid
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- G01L1/24—Measuring force or stress, in general by measuring variations of optical properties of material when it is stressed, e.g. by photoelastic stress analysis using infrared, visible light, ultraviolet
- G01L1/242—Measuring force or stress, in general by measuring variations of optical properties of material when it is stressed, e.g. by photoelastic stress analysis using infrared, visible light, ultraviolet the material being an optical fibre
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- G01P—MEASURING LINEAR OR ANGULAR SPEED, ACCELERATION, DECELERATION, OR SHOCK; INDICATING PRESENCE, ABSENCE, OR DIRECTION, OF MOVEMENT
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Abstract
The invention discloses a kind of large span power transmission conducting wires to hang crawl bending strain measurement method, includes the following steps：S1, monitoring conducting wire aeolian vibration state, using pulling force sensor test constantly conducting wire Horizontal Tension；S2, monitoring overhead transmission line environmental aspect, wind speed when being run using air speed measuring apparatus test constantly conducting wire；S3, according to surveyed wind speed, the characteristic parameter of conducting wire aeolian vibration is calculated using energy budget method；S4, the inertia force that known lead vibration is substituted into using the amplitude and frequency that solve gained conducting wire aeolian vibration solve the inertia force F obtained when conductor vibration is stablized, inertia force F is replaced to consider the static reaction of supports at the hitch point of electric wire rigidity in static buckling stress relation formula, obtains the dynamic bending stress at hitch point when conducting wire aeolian vibration.The Horizontal Tension and wind speed that the method is run by measure traverse line hang crawl bending strain to estimate, can more accurately be measured to the dynamic bending strain value of large span power transmission conducting wire, avoid the generation of accident.
Description
Technical field
The present invention relates to the aerial condutor aeolian vibration on-line monitoring technique fields in power domain, more particularly to a kind of big
Crawl bending strain measurement method is hung across transmission pressure.
Background technology
The aeolian vibration of transmission line of electricity is also known as vortex-induced vibration, when the constant wind that wind speed is about 0.5m/s~10m/s blow to it is defeated
When electric wire, toll bar vortex alternatively up and down is generated in the leeward side of conducting wire/ground wire, the power of upper and lower alternation is caused to act on power transmission line
On, make it that regular wavy reciprocating motion up and down occur in vertical plane.The frequency of aeolian vibration is in 3Hz~150Hz
Between, peak swing is generally no greater than 1~2 times of linear diameter of transmitting electricity, and the duration of vibration is typically up to a few hours, sometimes reachable
A few days is more than.It is often micro- to evaluate with the i.e. dynamic bending strain value of the cross section strain value generated due to bending when conductor vibration in engineering
The dynamic intensity of wind shake.Vibration wave forms nodal point at hitch point, and by the constraint of suspension clamp, the node cannot rotate freely, because
Often there is the dynamic bending strain value than bigger in span in this, and the fatigue of conducting wire is stranded often to be occurred in this.
《Conductor vibration measurement standard》Think the relative displacement A of the wire pair wire clamp at measurement wire clamp outlet 89mm89With
Dynamic bending strain at conducting wire hitch point is linear, and with vibration frequency, wavelength, tension, span and wire clamp with and without rotation etc.
Factor is substantially unrelated.Accordingly, simple in structure, processing, easy for installation, hanging with good electromechanical coupling characteristics are generally used at present
Arm beam sensor calculates the dynamic bending strain at hitch point by measuring the bending amplitude at wire clamp outlet 89mm.But according to reality
Survey information contrast, the influence of the factors such as linear relationship frequency vibrated, amplitude, wire tension and rigidity, might have ±
50% error.For each special type conducting wire used in Great span, influences bigger, especially large span power transmission conducting wire and gentle breeze occurs
When vibration, the Horizontal Tension of conducting wire can not think to remain unchanged, therefore cannot accurately estimate to obtain the suspension of large span power transmission conducting wire
Dynamic bending strain at point.
Invention content
It is an object of the invention to overcome above-mentioned the deficiencies in the prior art, for the aeolian vibration of large span power transmission conducting wire,
The influence for considering vibration frequency, wavelength, tension, span and electric wire rigidity, provides a kind of large span power transmission conducting wire hitch point
Dynamic bending strain measurement method, Horizontal Tension that the method run by measure traverse line and wind speed hang that crawl is curved to answer to estimate
Become, more accurately the dynamic bending strain value of large span power transmission conducting wire can be measured, so as to more accurately assess transmission of electricity
The operation conditions of conducting wire avoids the generation of accident.
The purpose of the present invention can be achieved through the following technical solutions：
A kind of large span power transmission conducting wire suspension crawl bending strain measurement method, the described method comprises the following steps：
S1, monitoring conducting wire aeolian vibration state record lower wire using pulling force sensor test constantly conducting wire Horizontal Tension
The variation of Horizontal Tension；
S2, monitoring overhead transmission line environmental aspect, wind speed when being run using air speed measuring apparatus test constantly conducting wire；
S3, according to the surveyed wind speed of step S2, the characteristic parameter of conducting wire aeolian vibration is calculated using energy budget method, i.e., it is micro-
When wind shake dynamic stability, the power of wind input lead is equal with conducting wire self-damping power, utilizes the pass of wind speed and conducting wire amplitude, frequency
It is the characteristic parameter that formula obtains conducting wire aeolian vibration, the i.e. amplitude and frequency of conducting wire aeolian vibration；
S4, the dynamic bending strain at conducting wire hitch point is estimated according to step S1 and step S3, that is, utilizes solution gained
The amplitude A of conducting wire aeolian vibration0And frequency f substitutes into the inertia force that known lead is vibrated and solves when obtaining conductor vibration stabilization
Inertia force F replaces inertia force F to consider that the static fulcrum at the hitch point of electric wire rigidity in static buckling stress relation formula is anti-
Power obtains the dynamic bending stress at hitch point when conducting wire aeolian vibration.
Further, in step S1, it is arranged in wire clamp exit especially by by pulling force sensor, passes through pulling force sensor
The horizontal pull situation of change of continuous measure traverse line is realized.
Further, the pulling force sensor uses fiber Bragg grating strain sensor.
Further, it in step S2, is mounted at the wire clamp of suspension conducting wire especially by by air speed measuring apparatus, passes through wind speed
The wind speed of measuring instrument test constantly conducting wire local environment is realized.
Further, the detailed process of step S3 is：
First, the power P of wind input lead is calculatedW, formula is as follows：
In formula,Indicate dynamic lift coefficient, it is related with wind speed；ρ indicates atmospheric density, unit kg/m3；V indicates wind
Speed, unit m/s；D indicates wire diameter, unit m；F indicates the frequency of conducting wire aeolian vibration, unit Hz；A0Expression is led
The amplitude of line aeolian vibration, unit m；Wherein dynamic lift coefficientSolution formula it is as follows：
In formula, s indicates Strouhal Number, related with the Reynolds number of cylinder, is 0.185~0.2 in usage range, this
Place uses 0.2；
Then, the self-damping power P of conducting wire is calculatedc, autophage or absorption when conducting wire self-damping is characterization conductor vibration
The ability of energy, is the power that unit length conducting wire is consumed, and formula is as follows：
In formula, y0Indicate the maximum double-amplitude of conducting wire, tri- coefficients of K, β, α are different because of wire gauge, can pass through conducting wire
Self-damping test obtains；Such as AACSR-400 type steel core aluminum alloy stranded wires, K=5.428 × 10-5, α=2.967-4.174f × 10-3, β=5.0.
Finally, the amplitude A of conducting wire aeolian vibration is calculated0：When known to other each parameters, with the frequency of conducting wire aeolian vibration
F is parameter coordinate, with the maximum double-amplitude y of conducting wire0For independent variable, the power P of outlet air input lead is drawnWWith hindering certainly for conducting wire
Buddhist nun's power PcRelational graph, the P of identical frequencyWAnd PcAmplitude y under intersections of complex curve correspondence0The stabilization of as power-balance point is shaken
Width, the i.e. amplitude A of conducting wire aeolian vibration0；When conducting wire aeolian vibration is stablized, vibration frequency f can be expressed as the single letter of wind speed V
Number：
In formula, s indicates Strouhal Number, related with the Reynolds number of cylinder, is 0.185~0.2 in usage range, this
Place uses 0.2.
Further, the step S4 specifically includes following procedure：
S4.1, the inertia force F according to the following formula calculating half-wavelength inside conductor vibration when stable：
Theoretically, when aeolian vibration is stablized, the f in formula should be the intrinsic frequency for considering electric wire rigidity, and it is considered herein that
Transmission pressure is the small rigidity beam of tensioning, and for practical span up to hundreds of meters, the bending stiffness for ignoring itself is used to conductor vibration
Property power F errors be usually no more than 5%, therefore the calculating of the inertia force is relatively safe；
In formula, m indicates that the quality of conductor, λ indicate that the wavelength of shelves inside conductor vibration, unit m, vibration are stablized
When indicated by the following formula：
In formula, T0Indicate conducting wire Horizontal Tension；
S4.2, static buckling stress σ at the hitch point for considering electric wire rigidity is calculated according to the following formula：
In formula, E indicates that the coefficient of elasticity of conducting wire, reference conductor parameter, such as the coefficient of elasticity of LGJ-800/100 conducting wires are
67000N/mm2；J indicates the moment of inertia of conducting wire section, to the single cord J=π d of a diameter of d4/64；C is indicated on conducting wire section
Required maximum stress in bend point is referred to the radius r of stock silk, reference conductor parameter to the distance between bending neutral layer；p0Indicate examination
Test the load that shelves center is applied, unit N；L indicates that span, h indicate the difference in height of hitch point,For static state
The reaction of supports；
S4.3, it replaces the inertia force F of conductor vibration to consider static buckling stress relation formula at the hitch point of electric wire rigidity
In the static reaction of supports, obtain the dynamic bending stress σ at hitch point when conducting wire aeolian vibrationc：
Dynamic bending stress σ when conducting wire aeolian vibration at hitch pointcUnit be N/mm2, according to dynamic bending stress and dynamic bending strain
Relationship, obtain the dynamic bending strain ε at wire clamp when conducting wire aeolian vibrationc：
Dynamic bending strain ε when conducting wire aeolian vibration at wire clampcUnit be με。
Compared with prior art, the present invention having the following advantages that and advantageous effect：
Large span power transmission conducting wire provided by the invention hangs crawl bending strain measurement method, the water run by measure traverse line
Sheet power and wind speed hang crawl bending strain to estimate, on the one hand consider vibration of power transmission line frequency, wavelength and electric wire rigidity
The problem of, on the other hand think that large-span conductors Horizontal Tension under aeolian vibration changes at any time, it can be more accurately right
The dynamic bending strain value of large span power transmission conducting wire measures, and so as to more accurately assess the operation conditions of transmission pressure, keeps away
Exempt from the generation of accident.
Description of the drawings
Fig. 1 is the flow chart that large span power transmission conducting wire of the embodiment of the present invention hangs crawl bending strain measurement method.
Fig. 2 is that large span power transmission conducting wire of the embodiment of the present invention hangs correlation meter in crawl bending strain measurement method
Scheme of installation.
Wherein, 1- cross arm of tower, 2- suspension insulators, 3- fiber grating pulling force sensors, 4- air speed measuring apparatus, 5- framves
Empty transmission line wire.
Specific implementation mode
Present invention will now be described in further detail with reference to the embodiments and the accompanying drawings, but embodiments of the present invention are unlimited
In this.
Embodiment：
The peace of correlation meter in large span power transmission conducting wire suspension crawl bending strain measurement method provided in this embodiment
Schematic diagram is filled as shown in Fig. 2, including cross arm of tower (1), suspension insulator (2), fiber grating pulling force sensor (3), wind speed
Measuring instrument (4) and overhead transmission line conductor (5), the flow chart of the method is as shown in Figure 1, include the following steps：
S1, monitoring conducting wire aeolian vibration state record lower wire using pulling force sensor test constantly conducting wire Horizontal Tension
The variation of Horizontal Tension；It is arranged in wire clamp exit especially by by fiber grating pulling force sensor (3), passes through fiber grating pull
The horizontal pull situation of change of the continuous measure traverse line of force snesor (3) is realized.
S2, monitoring overhead transmission line environmental aspect, wind speed when being run using air speed measuring apparatus test constantly conducting wire；Specifically
By the way that air speed measuring apparatus (4) to be mounted at the wire clamp of suspension conducting wire, pass through ring residing for air speed measuring apparatus (4) test constantly conducting wire
The wind speed in border is realized.
S3, according to the surveyed wind speed of step S2, the characteristic parameter of conducting wire aeolian vibration is calculated using energy budget method, i.e., it is micro-
When wind shake dynamic stability, the power of wind input lead is equal with conducting wire self-damping power, utilizes the pass of wind speed and conducting wire amplitude, frequency
It is the characteristic parameter that formula obtains conducting wire aeolian vibration, the i.e. amplitude and frequency of conducting wire aeolian vibration；Detailed process is：First, it counts
Calculate the power P of wind input leadW, formula is as follows：
In formula,Indicate dynamic lift coefficient, it is related with wind speed；ρ indicates atmospheric density, unit kg/m3；V indicates wind
Speed, unit m/s；D indicates wire diameter, unit m；F indicates the frequency of conducting wire aeolian vibration, unit Hz；A0Expression is led
The amplitude of line aeolian vibration, unit m；Wherein dynamic lift coefficientSolution formula it is as follows：
In formula, s indicates Strouhal Number, related with the Reynolds number of cylinder, is 0.185~0.2 in usage range, this
Place uses 0.2；
Then, the self-damping power P of conducting wire is calculatedc, autophage or absorption when conducting wire self-damping is characterization conductor vibration
The ability of energy, is the power that unit length conducting wire is consumed, and formula is as follows：
In formula, y0Indicate the maximum double-amplitude of conducting wire, tri- coefficients of K, β, α are different because of wire gauge, can pass through conducting wire
Self-damping test obtains；Such as AACSR-400 type steel core aluminum alloy stranded wires, K=5.428 × 10-5, α=2.967-4.174f × 10-3, β=5.0.
Finally, the amplitude A of conducting wire aeolian vibration is calculated0：When known to other each parameters, with the frequency of conducting wire aeolian vibration
F is parameter coordinate, with the maximum double-amplitude y of conducting wire0For independent variable, the power P of outlet air input lead is drawnWWith hindering certainly for conducting wire
Buddhist nun's power PcRelational graph, the P of identical frequencyWAnd PcAmplitude y under intersections of complex curve correspondence0The stabilization of as power-balance point is shaken
Width, the i.e. amplitude A of conducting wire aeolian vibration0；When conducting wire aeolian vibration is stablized, vibration frequency f can be expressed as the single letter of wind speed V
Number：
In formula, s indicates Strouhal Number, related with the Reynolds number of cylinder, is 0.185~0.2 in usage range, this
Place uses 0.2.
S4, the dynamic bending strain at conducting wire hitch point is estimated according to step S1 and step S3, that is, utilizes solution gained
The amplitude A of conducting wire aeolian vibration0And frequency f substitutes into the inertia force that known lead is vibrated and solves when obtaining conductor vibration stabilization
Inertia force F replaces inertia force F to consider that the static fulcrum at the hitch point of electric wire rigidity in static buckling stress relation formula is anti-
Power obtains the dynamic bending stress at hitch point when conducting wire aeolian vibration.Specifically include following procedure：
S4.1, the inertia force F according to the following formula calculating half-wavelength inside conductor vibration when stable：
Theoretically, when aeolian vibration is stablized, the f in formula should be the intrinsic frequency for considering electric wire rigidity, and it is considered herein that
Transmission pressure is the small rigidity beam of tensioning, and for practical span up to hundreds of meters, the bending stiffness for ignoring itself is used to conductor vibration
Property power F errors be usually no more than 5%, therefore the calculating of the inertia force is relatively safe；
In formula, m indicates that the quality of conductor, λ indicate that the wavelength of shelves inside conductor vibration, unit m, vibration are stablized
When indicated by the following formula：
In formula, T0Indicate conducting wire Horizontal Tension；
S4.2, static buckling stress σ at the hitch point for considering electric wire rigidity is calculated according to the following formula：
In formula, E indicates that the coefficient of elasticity of conducting wire, reference conductor parameter, such as the coefficient of elasticity of LGJ-800/100 conducting wires are
67000N/mm2；J indicates the moment of inertia of conducting wire section, to the single cord J=π d of a diameter of d4/64；C is indicated on conducting wire section
Required maximum stress in bend point is referred to the radius r of stock silk, reference conductor parameter to the distance between bending neutral layer；p0Indicate examination
Test the load that shelves center is applied, unit N；L indicates that span, h indicate the difference in height of hitch point,For static state
The reaction of supports；
S4.3, it replaces the inertia force F of conductor vibration to consider static buckling stress relation formula at the hitch point of electric wire rigidity
In the static reaction of supports, obtain the dynamic bending stress σ at hitch point when conducting wire aeolian vibrationc：
Dynamic bending stress σ when conducting wire aeolian vibration at hitch pointcUnit be N/mm2, according to dynamic bending stress and dynamic bending strain
Relationship, obtain the dynamic bending strain ε at wire clamp when conducting wire aeolian vibrationc：
Dynamic bending strain ε when conducting wire aeolian vibration at wire clampcUnit be με。
The above, patent preferred embodiment only of the present invention, but the protection domain of patent of the present invention is not limited to
This, any one skilled in the art is in the range disclosed in patent of the present invention, according to the skill of patent of the present invention
Art scheme and its patent of invention design are subject to equivalent substitution or change, belong to the protection domain of patent of the present invention.
Claims (6)
1. a kind of large span power transmission conducting wire hangs crawl bending strain measurement method, which is characterized in that the method includes following steps
Suddenly：
S1, monitoring conducting wire aeolian vibration state, using pulling force sensor test constantly conducting wire Horizontal Tension, record lower wire is horizontal
The variation of tension；
S2, monitoring overhead transmission line environmental aspect, wind speed when being run using air speed measuring apparatus test constantly conducting wire；
S3, according to the surveyed wind speed of step S2, the characteristic parameter of conducting wire aeolian vibration is calculated using energy budget method, i.e. gentle breeze shakes
When dynamic stability, the power of wind input lead is equal with conducting wire self-damping power, utilizes the relational expression of wind speed and conducting wire amplitude, frequency
Obtain the characteristic parameter of conducting wire aeolian vibration, the i.e. amplitude and frequency of conducting wire aeolian vibration；
S4, the dynamic bending strain at conducting wire hitch point is estimated according to step S1 and step S3, that is, utilizes solution gained conducting wire
The amplitude A of aeolian vibration0And frequency f substitutes into the inertia force that known lead is vibrated and solves the inertia obtained when conductor vibration is stablized
Inertia force F is replaced considering the static reaction of supports at the hitch point of electric wire rigidity in static buckling stress relation formula, be obtained by power F
Dynamic bending stress at hitch point when conducting wire aeolian vibration.
2. a kind of large span power transmission conducting wire according to claim 1 hangs crawl bending strain measurement method, it is characterised in that：
In step S1, it is arranged in wire clamp exit especially by by pulling force sensor, passes through the water of the continuous measure traverse line of pulling force sensor
Horizontal drawing power situation of change is realized.
3. a kind of large span power transmission conducting wire according to claim 2 hangs crawl bending strain measurement method, it is characterised in that：
The pulling force sensor uses fiber Bragg grating strain sensor.
4. a kind of large span power transmission conducting wire according to claim 1 hangs crawl bending strain measurement method, it is characterised in that：
In step S2, it is mounted at the wire clamp of suspension conducting wire especially by by air speed measuring apparatus, is led by air speed measuring apparatus test constantly
The wind speed of line local environment is realized.
5. a kind of large span power transmission conducting wire according to claim 1 hangs crawl bending strain measurement method, which is characterized in that
The detailed process of step S3 is：
First, the power P of wind input lead is calculatedW, formula is as follows：
In formula,Indicate dynamic lift coefficient, it is related with wind speed；ρ indicates atmospheric density, unit kg/m3；V indicates wind speed, single
Position is m/s；D indicates wire diameter, unit m；F indicates the frequency of conducting wire aeolian vibration, unit Hz；A0Indicate conducting wire gentle breeze
The amplitude of vibration, unit m；Wherein dynamic lift coefficientSolution formula it is as follows：
In formula, s indicates Strouhal Number, related with the Reynolds number of cylinder, is 0.185~0.2 in usage range, adopts herein
With 0.2；
Then, the self-damping power P of conducting wire is calculatedc, formula is as follows：
In formula, y0Indicate the maximum double-amplitude of conducting wire, tri- coefficients of K, β, α are different because of wire gauge, can pass through conducting wire self-damping
Test obtains；
Finally, the amplitude A of conducting wire aeolian vibration is calculated0：It is ginseng with the frequency f of conducting wire aeolian vibration when known to other each parameters
Coordinate is measured, with the maximum double-amplitude y of conducting wire0For independent variable, the power P of outlet air input lead is drawnWWith the self-damping power of conducting wire
PcRelational graph, the P of identical frequencyWAnd PcAmplitude y under intersections of complex curve correspondence0The as stabilized amplitude of power-balance point, that is, lead
The amplitude A of line aeolian vibration0；When conducting wire aeolian vibration is stablized, vibration frequency f can be expressed as the single function of wind speed V：
In formula, s indicates Strouhal Number, related with the Reynolds number of cylinder, is 0.185~0.2 in usage range, adopts herein
With 0.2.
6. a kind of large span power transmission conducting wire according to claim 1 hangs crawl bending strain measurement method, which is characterized in that
The step S4 specifically includes following procedure：
S4.1, the inertia force F according to the following formula calculating half-wavelength inside conductor vibration when stable：
In formula, m indicate conductor quality, λ indicate shelves inside conductor vibration wavelength, unit m, vibration stablize when by
The following formula indicates：
In formula, T0Indicate conducting wire Horizontal Tension；
S4.2, static buckling stress σ at the hitch point for considering electric wire rigidity is calculated according to the following formula：
In formula, E indicates the coefficient of elasticity of conducting wire；J indicates the moment of inertia of conducting wire section, to the single cord J=π d of a diameter of d4/
64；C indicates that required maximum stress in bend point is to the distance between bending neutral layer, referred to the radius r of stock silk on conducting wire section；p0
Indicate the load that experiment shelves center is applied, unit N；L indicates that span, h indicate the difference in height of hitch point,
For the static reaction of supports；
S4.3, the inertia force F of conductor vibration is replaced considering at the hitch point of electric wire rigidity in static buckling stress relation formula
The static reaction of supports obtains the dynamic bending stress σ at hitch point when conducting wire aeolian vibrationc：
Dynamic bending stress σ when conducting wire aeolian vibration at hitch pointcUnit be N/mm2, according to the pass of dynamic bending stress and dynamic bending strain
System, obtains the dynamic bending strain ε at wire clamp when conducting wire aeolian vibrationc：
Dynamic bending strain ε when conducting wire aeolian vibration at wire clampcUnit be με。
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Cited By (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110556745A (en) * | 2019-08-30 | 2019-12-10 | 北京海瑞兴能源科技有限责任公司 | Cable tension monitoring method for landing section cable laying system |
| CN113670495A (en) * | 2020-05-14 | 2021-11-19 | 电力规划总院有限公司 | Method and device for determining stress of multi-concentrated-load continuous-gear overhead line |
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| CN113670495A (en) * | 2020-05-14 | 2021-11-19 | 电力规划总院有限公司 | Method and device for determining stress of multi-concentrated-load continuous-gear overhead line |
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