CN110147522A - A kind of strand type carbon fiber composite core wire inflection temperature, calculation method for stress - Google Patents
A kind of strand type carbon fiber composite core wire inflection temperature, calculation method for stress Download PDFInfo
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- VNWKTOKETHGBQD-UHFFFAOYSA-N methane Chemical compound C VNWKTOKETHGBQD-UHFFFAOYSA-N 0.000 title claims abstract description 17
- 229920000049 Carbon (fiber) Polymers 0.000 title abstract description 11
- 239000004917 carbon fiber Substances 0.000 title abstract description 11
- 239000002131 composite material Substances 0.000 title abstract description 8
- 238000004364 calculation method Methods 0.000 title abstract description 7
- 238000000034 method Methods 0.000 claims abstract description 10
- XAGFODPZIPBFFR-UHFFFAOYSA-N aluminium Chemical compound [Al] XAGFODPZIPBFFR-UHFFFAOYSA-N 0.000 abstract description 14
- 229910052782 aluminium Inorganic materials 0.000 abstract description 14
- 239000004020 conductor Substances 0.000 abstract description 13
- 230000005540 biological transmission Effects 0.000 abstract description 6
- 239000004411 aluminium Substances 0.000 abstract description 4
- 239000000463 material Substances 0.000 abstract description 3
- 239000000835 fiber Substances 0.000 description 7
- OKTJSMMVPCPJKN-UHFFFAOYSA-N Carbon Chemical compound [C] OKTJSMMVPCPJKN-UHFFFAOYSA-N 0.000 description 5
- 229910052799 carbon Inorganic materials 0.000 description 3
- 238000010586 diagram Methods 0.000 description 3
- 230000005611 electricity Effects 0.000 description 3
- 239000010959 steel Substances 0.000 description 3
- 229910000831 Steel Inorganic materials 0.000 description 2
- 150000001875 compounds Chemical class 0.000 description 2
- 229910000838 Al alloy Inorganic materials 0.000 description 1
- 238000004458 analytical method Methods 0.000 description 1
- 230000002929 anti-fatigue Effects 0.000 description 1
- -1 carbon fiber compound Chemical group 0.000 description 1
- 238000010276 construction Methods 0.000 description 1
- 238000005260 corrosion Methods 0.000 description 1
- 230000007797 corrosion Effects 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 238000005516 engineering process Methods 0.000 description 1
- 230000005012 migration Effects 0.000 description 1
- 238000013508 migration Methods 0.000 description 1
- 230000006641 stabilisation Effects 0.000 description 1
- 238000011105 stabilization Methods 0.000 description 1
- 239000000725 suspension Substances 0.000 description 1
- 230000009466 transformation Effects 0.000 description 1
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- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F17/00—Digital computing or data processing equipment or methods, specially adapted for specific functions
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Abstract
The present invention relates to a kind of inflection temperatures of strand type carbon fiber composite core wire, the calculation method of stress.Since the temperature of its general continuous work of special material can achieve 150 DEG C or more, (common steel-cored aluminium strand maximum operating temperature only has 70 DEG C -80 DEG C to strand type carbon fiber composite core wire, its inflection temperature is not achieved at all), power transmission line sag is the main indicator of line security operation, calculate the arc sag amount of strand type carbon fiber composite core wire, key is sag computing method when conducting wire is more than inflection temperature, therefore must first calculate the inflection temperature of this conducting wire.This method does not consider the plastic deformation that conducting wire generates, and thinks that the coefficient of elasticity of conducting wire remains unchanged;The influence that each layer line core twisting generates stress is not considered simultaneously yet;Assumed based on this two o'clock, in conductor length change procedure, conducting wire is whole, inside is twisted carbon fiber core and the respective variation elongation of outer layer aluminum stranded conductor should be identical, and the equation of state and conducting wire wire length formula of combination wire elongation calculate the inflection temperature t of different situations lower wirecTension T corresponding with itsc。
Description
Technical field
The present invention relates to the calculation methods of a kind of strand type carbon fiber composite core wire inflection temperature and tension, are used in aerial
It is the premise and necessary condition for calculating the Tensile Sag characteristic of strand type carbon-fibre wire in transmission line of electricity.
Background technique
No matter carbon fiber composite core wire is in electric network reconstruction or durings aerial transmission & distribution power transformation track remodelling etc. at present
It has been widely used.The advantages of a kind of strand type carbon fiber complex core (CFCC) conducting wire has given full play to carbon fibre material and
And the excellent performance not having with rod carbon fiber compound core conducting wire.The flexibility of twisted carbon fiber core conducting wire obtains very big
Raising, maximum deflection radius reaches 40D the diameter of compound wire core (D be), be more convenient for construction, the stabilization with twisted wire structure
Property, fatigue resistance greatly improve, compressive property it is good, fitting connect more convenient, light-weight, corrosion-resistant, non magnetic, thermal expansion coefficient
The small, number of advantages such as tensile strength is big, elasticity modulus is high, antifatigue, sag is small, creep is small.Undoubtedly strand type carbon fiber is compound
Core (CFCC) conducting wire is very suitable for extremely urgent track remodelling engineering.
After the completion of aerial condutor is set up, since the electric current of being continuously increased for conducting wire electricity consumption load, carrying also increases therewith
Greatly, to cause the promotion of conductor temperature.And according to structural property, aerial condutor can be divided into stress unit (internal core) again
With conductive unit (outer layer twisted wire).The difference of linear expansion of the two is very big, with the continuous raising of temperature, internal core and outer
The difference in elongation of layer twisted wire also ceaselessly adds up, until generating qualitative change by quantitative change at a certain temperature, core wire and twisted wire at this time
Wire length has existed for biggish difference, and the stress of outer layer twisted wire influences very little for the tension of whole conducting wire, even in by
The perfect condition that power is zero, and whole mechanical tensions of conducting wire are all undertaken by internal core.Under normal conditions, when we claim this
The temperature inscribed is " inflection temperature ", is referred to as " migration point temperature ".
Power transmission line sag is the main indicator of line security operation, and strand type carbon-fibre wire is due to its special material
General continuous operation temperature can all reach 150 DEG C or more (different from common steel-cored aluminium strand maximum operating temperature only have 70 DEG C-
80 DEG C, its inflection temperature is not achieved at all) much higher than its inflection temperature, so calculating the tension arc of the above conducting wire of its inflection temperature
Vertical method and conventional wires are different.To ensure the safe operation of transmission line of electricity usually first to i.e. by overhead conducting wire sag
Theoretical calculation is carried out, therefore must first calculate the inflection temperature of this conducting wire.
Summary of the invention
This invention can satisfy strand type carbon in view of the above-mentioned problems, having compiled one by calculating analysis and having extracted one kind
The method that fiber composite core wire calculates its inflection temperature and tension in overhead transmission line operation.Technology of the invention solves
Scheme: considering " inflection temperature " this characteristic, and judgement meter is had to when calculating the tension and arc sag of twisted carbon-fibre wire
Calculate the relationship of temperature and inflection temperature.If calculating temperature is less than inflection temperature, calculation method and common steel-cored aluminium strand phase
Together, the stress effect of the aluminum stranded conductor (especially hard-drawn aluminium wire) as conductive unit cannot be ignored at this time, Ying Caiyong integrated wire
Synthetical elastic modulus, comprehensive linear expansion coefficient and conducting wire entirety pull-off force, then derived by the control climate condition of selection
The tension and arc sag of a certain temperature lower wire;If but calculating temperature and being higher than inflection temperature, at this time tensile characteristics of carbon fiber core
It is constant, and the drawing-resistant function of the heat-resisting aluminium alloy of outer layer or soft aluminum stranded conductor completely disappears, the thermal expansion of conducting wire entirety and elasticity are stretched
Long rate depends on the thermal expansion for being twisted carbon fiber core and elastic extension, inflection temperature schematic diagram are as shown in the picture.And it should be to turn
Dotted state derives the tension and arc sag for calculating temperature lower wire as known state, therefore to calculate strand type carbon fiber guiding
The Tensile Sag characteristic of line, it is necessary to calculate the temperature and tension of inflection point.
It is similar with conventional steel core aluminum stranded conductor, in the calculating of strand type carbon-fibre wire, in order to be simplified problem, one
As do not consider the plastic deformation that conducting wire generates, and think that the coefficient of elasticity of conducting wire remains unchanged;Each layer line core is not considered simultaneously yet
The influence that twisting generates stress.Based on this two o'clock it is assumed that in conductor length change procedure, conducting wire is whole, the twisted carbon in inside
Fibre core and the respective variation elongation of outer layer aluminum stranded conductor should be identical, it may be assumed that
Δ L=Δ La=Δ LX (1)
Wherein Δ L, Δ LaWith Δ LxThe respectively variation elongation of conducting wire, aluminum stranded conductor and carbon core.And according to equation of state
Know its respective variation elongation respectively equal to respective elastic elongation amount and the summation for thermally expanding elongation again, it may be assumed that
L in formula0Indicate the initial length of conducting wire, t0For the initial temperature of conducting wire, t is the running temperature of conducting wire, Ta\Tx、Ea\
EX、Aa\AXAnd αa\αXRespectively outer layer aluminum stranded conductor and the internal twisted respective tension of carbon fiber core wire, elasticity modulus, calculating is cut
Area and linear expansion coefficient.When being changed according to conductor length, core wire elongation is identical as aluminum steel can column equation:
Ignore the small quantity in formula, carrying out abbreviation can obtain:
And when temperature reaches inflection temperature, the tension T of aluminum steela=0, the tension T of conducting wire is equal to the tension of core wire at this time
Tx, and the inflection temperature t of conducting wirecAre as follows:
In formula, TcIndicate conducting wire in inflection temperature tcWhen tension.
In addition, according to wire length formula:
The selection of wire length formula herein must judge the ratio size of its height difference and span according to actual condition to be selected,
Here it is temporarily calculated with flat parabola wire length formula, W is vertical load in formula, and T is the tension of conducting wire minimum point, and l is span.
It will be known to the wire length formula and elongation formula connection under inflection temperature and under known control condition:
That is simultaneous formula (4)+wire length=formula (6), under controlled conditions:
And [it is equal to formula (4)+wire length=formula (6)] in inflection temperature:
In above formula, Tm、tmRespectively indicate the tension and temperature under control condition, WmFor vertical full payload at this time;Tc、tcPoint
Not Biao Shi inflection temperature when tension and temperature, WcFor vertical full payload at this time.The cancellation of two formulas is indivisible, it is substituted into after abbreviation
Equation of state:
The inflection temperature acquired before and the relational expression of inflection point tension are substituted into above-mentioned equation again, so that it may obtain a pass
In the simple cubic equation of inflection point tension:
It can be calculated later with using discriminant method or Newton iteration method, calculate conducting wire inflection point tension TcIt is natural afterwards
Its inflection temperature t can be calculatedc.But since above formula parameter is more, calculate get up it is complex, so under normal circumstances we
Usually above formula is further simplified.
First by equation of state, annual state is converted by the parameter under known control climate condition, it may be assumed that will
Tm、tm、WmIt is separately converted to T0、t0、W0, and usually think the vertical load W under inflection point statecIt is approximately equal to W0, or more one
Equation can simplify are as follows:
That is:
At this point, the equation can be consideredFormat
Wherein:
It enables:
(1) as A >=0:
(2) as A < 0:
Wherein when B > 0,When B=0,When B < 0,
Inflection temperature t can be found out by the formulacTension T corresponding with itsc。
It can be differentiated after finding out inflection temperature, when calculating temperature below inflection temperature with control climate condition for
Know state, is substituted into state equation and calculated using the elastic modulus E of conducting wire entirety, sectional area A and linear expansion coefficient α;Instead
When temperature be higher than inflection temperature when, then using the state under inflection temperature as known state, use the relevant parameter of carbon fiber core
Ex、Ax、αxIt is calculated.The wire tension under arbitrary temp can be thus found out, recycles parabolic equation later
Find out the arc sag of different temperatures lower wire.
The equation of state refers to the section lead between two hitch points, if it is known that hanging under two kinds of DIFFERENT METEOROLOGICAL CONDITIONSs
The geometry wire length of conducting wire when extension, and when the two is converted into same state, then the wire length acquired both under the state should phase
Deng.Here it is the bases of foundation " conducting wire basic status equation ".Assuming that L0It in temperature is t for span inside conductor0And do not stress
In the case of install when original wire length, L1For state I (conducting wire parameter planar be l1、h1、t1、γ1、σ1、σav1) under
Wire length;L2For state I I (conducting wire parameter planar be l2、h2、t2、γ2、σ2、σav2) under wire length.L can then be listed1
And L2Relational expression it is as follows:
Subtracting wire length just with formula (18) can be obtained formula (2) Δ L, Δ LaWith Δ LxThe variation of conducting wire, aluminum stranded conductor and carbon core
Elongation.
The wire length formula refers to height difference on the basis of with the calculating of flat parabolic wire length formula, between two hitch points
When the height difference angle of smaller hitch point in other words is smaller, we just approximately think γ is carried along the equally distributed ratio of conducting wire along span
L is uniformly distributed.What is derived based on this is exactly " flat parabolic equation ", and is different from this than carrying along inclined span lABUniformly
" the oblique parabolic equation " of distribution.The two is larger relative to the latter compared to its error, but due to height difference h at this time much smaller than span/,
Therefore the computational accuracy of so-called " flat parabolic equation " is still ensured.The approximate stress of aerial condutor " flat parabolic equation " is such as
Shown in attached drawing two, the conducting wire real load γ L in span is approximately thought γ l.
1. the arc sag and height difference of conducting wire:
The curvilinear equation of aerial condutor is as follows in flat parabolic equation:
The maximum arc sag at any point in span:
The maximum arc sag in span center:
The ordinate of conducting wire minimum point:
Hitch point A, the B height difference with conducting wire minimum point respectively:
The average height of conducting wire:
2. the wire length of conducting wire suspension:
Similar with the wire length of " oblique parabolic equation ", above formula is sufficiently complex and error is larger, in practical projects usually not
With use, so carry out series expansion to above formula and neglect high order small quantity therein and simplified are as follows:
Above formula is actually the approximate simplified formula of flat parabola arc length, although there are still accidentally in engineer application
Difference, but its degree of approximation to be much better than before expression formula, and its also simpler convenience.
Detailed description of the invention
Fig. 1, inflection temperature schematic diagram;
Fig. 2, flat parabolic equation force diagram.
Claims (1)
1. after obtaining a simple cubic equation (formula 10 in specification) about inflection point tension, using discriminant method or
Newton iteration method is calculated, and conducting wire inflection point tension T is calculatedcIt is natural afterwards to calculate its inflection temperature tc.But due to above formula
Parameter is more, calculate get up it is complex, so usually above formula is further simplified.
First by equation of state, annual state is converted by the parameter under known control climate condition, it may be assumed that by Tm、
tm、WmIt is separately converted to T0、t0、W0, and usually think the vertical load W under inflection point statecIt is approximately equal to W0, or more a side
Journey can simplify are as follows:
That is:
At this point, the equation can be consideredFormat
Wherein:
It enables:
(1) as A >=0:
(2) as A < 0:
Wherein when B > 0,When B=0,When B < 0,
Inflection temperature t can be found out by the formulacTension T corresponding with itsc。
It can be differentiated after finding out inflection temperature, when calculating temperature below inflection temperature with control climate condition for known shape
State is substituted into state equation using the elastic modulus E of conducting wire entirety, sectional area A and linear expansion coefficient α and is calculated;Otherwise work as
When temperature is higher than inflection temperature, then using the state under inflection temperature as known state, the relevant parameter E of carbon fiber core is usedx、Ax、
αxIt is calculated.The wire tension under arbitrary temp can be thus found out, recycles parabolic equation that can find out later
The arc sag of different temperatures lower wire.
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Cited By (3)
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CN111965044A (en) * | 2020-08-18 | 2020-11-20 | 广东电网有限责任公司 | Transmission line creep calculation method and system based on lead tensile strength loss |
CN112556752A (en) * | 2020-12-01 | 2021-03-26 | 国网浙江省电力有限公司经济技术研究院 | In-service carbon fiber composite core wire mechanical property testing method, device and system |
CN113418629A (en) * | 2021-06-25 | 2021-09-21 | 国网辽宁省电力有限公司沈阳供电公司 | Inflection point temperature measurement method of carbon fiber composite core wire |
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CN113418629A (en) * | 2021-06-25 | 2021-09-21 | 国网辽宁省电力有限公司沈阳供电公司 | Inflection point temperature measurement method of carbon fiber composite core wire |
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