CN106096105A - Power transmission circuit caused by windage transient response computational methods - Google Patents
Power transmission circuit caused by windage transient response computational methods Download PDFInfo
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Abstract
The present invention proposes a kind of power transmission circuit caused by windage transient response computational methods considering aerodynamic coefficient angle of attack variation with the wind；By wind tunnel test measurement bare conductor and ice coating wire aerodynamic coefficient；Consider spatial coherence and the same point longitudinally correlation with vertical wind speed of transmission line of electricity each point, utilize harmony superposition simulation three-dimensional fluctuating wind speed；Set up Multispans continuous multiple division electricity transmission line FEM model, utilize each moment close wind speed and the aerodynamic coefficient of angle of attack variation with the wind accurately calculates wind load, time-history analysis is carried out to wire windage yaw.
Description
Technical field
The invention belongs to transmission line of electricity technical field, be specifically related to a kind of power transmission circuit caused by windage transient response computational methods.
Background technology
Wind load is one of primary load of transmission line of electricity, owing to wire belongs to flexible structure, produces under high wind effect
Moderate finite deformation, will be breakdown when the air gap between wire from shaft tower or different phase conductor is unsatisfactory for insulation conditions, sends out
Raw windage yaw discharge accident, has a strong impact on circuit properly functioning, causes bigger economic loss.For effective prevention windage yaw discharge accident
Generation, the scholar of domestic and international association area has carried out numerous studies to wire windage yaw, typically sets up Multispans continuous finite element mould
Type, utilizes computer simulation fluctuating wind speed, obtains total wind speed with mean wind speed after superposing, and assumes to be converted to wind lotus according to pseudo steady
Carry and be applied on model, utilizing Finite Element to solve windage yaw transient response.
For wind speed, research in the past only considers longitudinally (down wind) wind speed, does not consider the impact of vertical fluctuating wind speed.Distinguished and admirable
Produce the resistance identical with the carrying out flow path direction lift vertical with carrying out flow path direction and the torsion vertical with conductor cross-section through wire respectively
Square, their corresponding dimensionless factors are called resistance coefficient, lift coefficient and the coefficient of torsion.Research in the past and specification are at meter
Only considering resistance when calculating wire wind load, and resistance coefficient taking fixed value, " 110kV～750kV overhead transmission line designs in China
Specification " (GB 50545-2010) and " overhead power transmission line pole tower structure-design technique regulation " (DL/T 5154-2012) all advise
Fixed, line footpath takes 1.2 less than resistance coefficient during 17mm, takes 1.1 during more than or equal to 17mm；External specification resistance coefficient typically takes
1.0 or according to reliable measured data and results of wind tunnel value；For split conductor, when calculating wind load, each son is led
Line is all calculated by single conductor, does not consider mutually to block between sub-conductor the impact on resistance coefficient.Research in the past shows, Wire pneumatic
The force coefficient angle of attack with the wind is continually changing, and especially for ice coating wire, this change becomes apparent from；Due to upstream sub-conductor under
The wake radiation effect of alien's wire, there is some difference for each sub-conductor aerodynamic coefficient angle of attack variation rule with the wind of many divisions.
Content of the invention
In view of conventional windage yaw calculate present in problem, the present invention proposes one more accurate power transmission circuit caused by windage wink
State method of response calculation, result of calculation more conforms to truth, can be predicted to being susceptible to the inclined position of relatively strong winds, refer to
Lead power transmission line wind partially to design, thus reduce the probability that windage yaw discharge accident occurs.
In order to solve above-mentioned technical problem, the present invention adopts the following technical scheme that power transmission circuit caused by windage transient response calculates
Method, said method comprising the steps of:
Step 1: make bare conductor and the ice coating wire model of accurate analog conducting wire surface roughness, surveyed by high frequency balance
Power wind tunnel test measures the aerodynamic coefficient of bare conductor and each sub-conductor of ice coating wire under the different wind angle of attack；
Step 2: the dynamics according to certain true transmission line of electricity and version, selects suitable cell type, builds
The vertical detailed finite element model comprising each sub-conductor, insulator chain, conductor spacer, gold utensil；
Step 3: determine geomorphic type, according to the mean wind speed at wire position and turbulence characteristic, it is considered to transmission of electricity
The spatial coherence of circuit each point and the same point longitudinally correlation with vertical wind speed, utilizes the three-dimensional arteries and veins of harmony superposition simulation
Dynamic wind speed；
Step 4: the conjunction wind speed according to certain moment and this corresponding aerodynamic coefficient of moment wind angle of attack, accurately calculates each son
The resistance of wire and lift, and be applied on FEM model；
Step 5: utilize Finite Element to solve transmission line of electricity each point windage yaw transient response.
Described step 1 completes in boundary layer wind tunnel, measures split conductor each sub-conductor resistance coefficient by wind tunnel test
CDj(θj) and lift coefficient CLj(θj), wherein j is sub-conductor numbering, θjThe wind angle of attack for sub-conductor j.
Described step 2, according to the wire of certain true transmission line of electricity, insulator chain, conductor spacer, the physical parameter of gold utensil, is set up
Many division detailed finite element models, described physical parameter includes physical dimension, density, rigidity.
After described step 4 considers vertical fluctuating wind speed, close wind speed direction time changing, close the folder of wind speed and multiple fission conductor
Angle i.e. wind angle of attack time changing, corresponding aerodynamic coefficient also angle of attack variation with the wind, can accurately be calculated wire wind load.
Described step 5 repeats the process in step 4, solves model of power transmission system each point longitudinal direction and vertical transient Displacements, enters
And calculate the transient state angle of wind deflection of suspension insulator.
The method have the advantages that
1. wire Wind load calculating is accurate.Aerodynamic coefficient is the important parameter of wire Wind load calculating, is tried by wind-tunnel
Test Accurate Determining.The aerodynamic coefficient of the vertical fluctuating wind speed of consideration objective reality and with the wind angle of attack variation, accurately calculates wind
Each moment wind load during Pian.
2. wire windage yaw RESPONSE CALCULATION is accurate.Set up according to true transmission line of electricity physical parameter and comprise each sub-conductor, insulation
Substring, conductor spacer, gold utensil etc. are in interior detailed finite element model, the windage yaw response obtaining after applying wind load and truth
Close.
3. there is general applicability.Can be according to different landforms, different transmission line of electricity, the real-time difference such as icing situation of wire
Adjust the calculating parameter of physics and numerical model.
Brief description
Fig. 1 is the flow chart of steps of the present invention.
Fig. 2 is eight split conductor sub-conductor numberings and the definition of the wind angle of attack.
Fig. 3 is certain 1000kV eight division electricity transmission line under B class landforms.
Fig. 4 is the direction definition method of space any point wind speed field.
Fig. 5 is three-dimensional fluctuating wind speed time-histories.
Fig. 6 is eight split conductor windage yaw view.
Fig. 7 is suspension insulator angle of wind deflection computational methods schematic diagram.
Fig. 8 is suspension insulator angle of wind deflection time-histories.
Detailed description of the invention
Below in conjunction with the accompanying drawings the present invention is described in further detail.
As it is shown in figure 1, power transmission circuit caused by windage transient response computational methods:
Step 1: measure split conductor each sub-conductor resistance coefficient C by wind tunnel testDj(θj) and lift coefficient CLj(θj)。
Wherein j is sub-conductor numbering, θjThe wind angle of attack for sub-conductor j.During actual measurement, can be only at a certain root wire j
Force balance is installed in lower section, directly measures its resistance FDj(θj) and lift FLj(θj), and calculate its aerodynamic coefficient, according to symmetry
Property and periodically, obtain the aerodynamic coefficient of other sub-conductors.As a example by eight split conductors, sub-conductor numbering and the definition of the wind angle of attack
As shown in Figure 2.
Step 2: set up Multispans continuous multiple division electricity transmission line FEM model.
Under B class landforms as shown in Figure 3 as a example by certain 1000kV eight division electricity transmission line, according to wire, insulator chain,
Every the physical parameter of rod and gold utensil, utilizing finite element software to be modeled, wire original shape is catenary, applies gravity and carries out
Form finding analysis simultaneously updates each node coordinate.
Step 3: by harmony superposition simulation three-dimensional fluctuating wind speed.
Space any point wind speed can be broken into orthogonal three components, and as shown in Figure 4, wherein U is for longitudinally
(down wind) wind speed, W is vertical wind speed, and V is horizontal wind speed.For smooth landforms, vertical and horizontal mean wind speed is 0, therefore:
In formula:For longitudinal mean wind speed；Respectively longitudinal, the vertical and horizontal fluctuating wind speed of u, w, v.
The present invention uses the spectral representation method (POD) based on cross-spectral density matrix feature Orthogonal Decomposition in harmony superposition to carry out mould
Intend three-dimensional fluctuating wind speed.Auto spectral density function uses the Karman spectrum that ESDU recommends, and longitudinal mean wind speed presses China's " building structure
Load code " calculating of (GB 5009-2012) B class landforms wind profile, longitudinal turbulivity is by Japan " AIJ Recommendations
For Loads on Buildings " II class landforms (corresponding China B class landforms) calculating；Spatial coherence function uses
The form that Davenport recommends；For space any point, only consider the correlation longitudinally and between vertical fluctuating wind speed.Meter
Calculating cross-spectral density matrix and carrying out POD decomposition, the phase angle utilizing characteristic vector, characteristic value and the stochastic generation obtaining is permissible
Obtain the expression formula of fluctuating wind speed.For improving computational efficiency, introduce Fast Fourier Transform (FFT).In Fig. 3 transmission line of electricity second across across
The three-dimensional fluctuating wind speed time-histories at middle place is as shown in Figure 5.
Step 4: accurately calculate each moment Transmission Line Wind Load during windage yaw.
Moving towards identical due to horizontal fluctuating wind speed and transmission line of electricity, less on windage yaw impact, therefore windage yaw can in calculating
To ignore.As a example by eight split conductors, the change of wire section motion state during windage yaw is as shown in Figure 6.Consideration is led
Line and the relative motion between flowing, vertical (in Fig. 6 as a example by sub-conductor 8, other sub-conductors are in like manner) at t sub-conductor j
To wind velocity Uj, vertical wind speed Wj, close wind speed VClose jIt is calculated as follows:
In formula:WithIt is respectively sub-conductor j longitudinal direction and vertical motion speed, utilize Newmark β method to calculate；ujAnd wj
It is respectively longitudinal at sub-conductor j and vertical fluctuating wind speed；For mean wind speed longitudinal at sub-conductor j.
The wind angle of attack is for closing the angle of wind speed and wire, wind angle of attack θ at t sub-conductor jjIt is represented by:
θj=Ω-φj (5)
In formula: Ω is the angle that wire section turns over；φjFor wind speed longitudinal at sub-conductor j and conjunction wind speed angle.
Resistance F at sub-conductor jDjWith conjunction wind speed direction in the same direction, lift FLjVertical with closing wind speed direction, false according to pseudo steady
If can be expressed as:
FDj(θj, t)=0.5 ρ VClose j(t)2CDj(θj)Aj (6)
FLj(θj, t)=0.5 ρ VClose j(t)2CLj(θj)Aj(7) in formula: ρ is atmospheric density；AjFor front face area.
Resistance and lift are projected along X-axis and Z axis respectively, obtain longitudinal load and vertical load:
FXj=FDj·cosφj+FLj·sinφj (8)
FZj=FDj·sinφj-FLj·cosφj–Gj (9)
In formula: GjFor wire gravity.
In order to eliminate the impact enlarge-effect after applying impact load on wire, before the Wind Velocity History of simulation, increase by one
Section wind speed is linearly increased to the process of first time point wind speed by 0.
For a certain section, t1In=0 moment, the eight each sub-conductor original state coordinates of split conductor are it is known that t1Moment sub-conductor
J wind angle of attack θj(t1)=0, corresponding resistance coefficient is CDj[θj(t1)], lift coefficient is CLj[θj(t1)], utilize formula (6)～
(9) t is calculated1Moment load, applies t1After moment load, obtain t2Each sub-conductor displacement of=Δ t, and then obtain t2When
Carve each sub-conductor coordinate, utilize t1、t2Moment coordinate can calculate the angle that each sub-conductor line between any two turns over, respectively
It is designated as Ω12(t2)、Ω23(t2)、Ω34(t2)、Ω45(t2)、Ω56(t2)、Ω67(t2)、Ω78(t2)、Ω81(t2), due to t2When
Carve the relative position between eight split conductors different from original state, be no longer octagon, t2Moment wire section turns over
Angle Ω (t2) it is represented by:
Ω(t2)=[Ω12(t2)+Ω23(t2)+Ω34(t2)+Ω45(t2)+Ω56(t2)+Ω67(t2)+Ω78(t2)+Ω81
(t2)]/8 (10)
Formula (5) is utilized to calculate t2Moment sub-conductor j wind angle of attack θj(t2), corresponding resistance coefficient is CDj[θj(t2)], rise
Force coefficient is CLj[θj(t2)], utilize formula (6)～(9) to calculate t2Moment load, applies t2After moment load, obtain t3=2 Δs
Each sub-conductor displacement of t, recycles t1、t3Moment coordinate calculates Ω (t3), corresponding aerodynamic coefficient is CDj[θj
(t3)]、CLj[θj(t3)], and then obtain t3Moment load, by that analogy.
Step 5: repeat the process in step 4, solves model of power transmission system each point longitudinal direction and vertical transient Displacements, Jin Erji
Calculate the transient state angle of wind deflection of suspension insulator.
When utilizing finite element software to solve, it is considered to large deformation and Stress stiffening effect, obtain model of power transmission system each point and indulge
To displacement UX(t) and vertical displacement UZ(t).As it is shown in fig. 7, a length of L of suspension insulatorJ, then angle of wind deflectionCan represent
For:
In Fig. 3, at transmission line of electricity hanging point 2, suspension insulator angle of wind deflection time-histories is as shown in Figure 8.
Under high wind effect, transmission line of electricity produces moderate finite deformation, the air between wire from shaft tower or different phase conductor
Will be breakdown when gap is unsatisfactory for insulation conditions, there is windage yaw discharge accident, have a strong impact on circuit properly functioning, cause bigger
Economic loss, the generation accurately calculating wire windage yaw to effective prevention windage yaw discharge accident is significant.Conventional windage yaw
In computational methods, wire resistance coefficient takes fixed value, and does not consider vertical fluctuating wind speed and lift, but during actual windage yaw,
Vertical fluctuating wind speed is objective reality, and the direction closing wind speed is continually changing, and split conductor also can rotate, and therefore, closes wind
Speed and wire angle, i.e. the wind angle of attack are in dynamic in changing.Resistance and lift coefficient in view of multiple fission conductor can be attacked with the wind
Angle is continually changing, and for ice coating wire, this change is particularly evident, it is seen then that conventional windage yaw computational methods are inadequate
Accurately.To this end, the present invention proposes a kind of power transmission circuit caused by windage transient response meter considering aerodynamic coefficient angle of attack variation with the wind
Calculation method；Aerodynamic coefficient by wind tunnel test measurement bare conductor and ice coating wire angle of attack variation with the wind；Consider transmission line of electricity
The spatial coherence of each point and the same point longitudinally correlation with vertical wind speed, utilizes harmony superposition simulation three-dimensional fluctuating wind
Speed；Setting up Multispans continuous multiple division electricity transmission line FEM model, utilize each moment closes wind speed and angle of attack variation with the wind
Aerodynamic coefficient accurately calculates wind load, carries out time-history analysis to wire windage yaw.
Claims (5)
1. power transmission circuit caused by windage transient response computational methods, it is characterised in that: said method comprising the steps of:
Step 1: make bare conductor and the ice coating wire model of accurate analog conducting wire surface roughness, by high frequency aerodynamic balance measuring wind
The aerodynamic coefficient of bare conductor and each sub-conductor of ice coating wire under the different wind angle of attack of hole test determination；
Step 2: the dynamics according to certain true transmission line of electricity and version, selects suitable cell type, sets up bag
Containing each sub-conductor, insulator chain, conductor spacer, gold utensil at interior detailed finite element model；
Step 3: determine geomorphic type, according to the mean wind speed at wire position and turbulence characteristic, it is considered to transmission line of electricity
The spatial coherence of each point and the same point longitudinally correlation with vertical wind speed, utilizes harmony superposition simulation three-dimensional fluctuating wind
Speed；
Step 4: the conjunction wind speed according to certain moment and this corresponding aerodynamic coefficient of moment wind angle of attack, accurately calculates each sub-conductor
Resistance and lift, and be applied on FEM model；
Step 5: utilize Finite Element to solve transmission line of electricity each point windage yaw transient response.
2. power transmission circuit caused by windage transient response computational methods according to claim 1, it is characterised in that: described step 1 exists
Boundary layer wind tunnel completes, measures split conductor each sub-conductor resistance coefficient C by wind tunnel testDj(θj) and lift coefficient CLj
(θj), wherein j is sub-conductor numbering, θjThe wind angle of attack for sub-conductor j.
3. power transmission circuit caused by windage transient response computational methods according to claim 1, it is characterised in that: described step 2 piece
According to the wire of certain true transmission line of electricity, insulator chain, conductor spacer, the physical parameter of gold utensil, set up many division detailed finite elements
Model, described physical parameter includes physical dimension, density, rigidity.
4. power transmission circuit caused by windage transient response computational methods according to claim 1, it is characterised in that: described step 4 is examined
After considering vertical fluctuating wind speed, close wind speed direction time changing, close the angle i.e. wind angle of attack time changing of wind speed and multiple fission conductor,
Corresponding aerodynamic coefficient angle of attack variation with the wind, can accurately be calculated wire wind load.
5. power transmission circuit caused by windage transient response computational methods according to claim 1, it is characterised in that: described step 5 weight
Answer the process in step 4, solve model of power transmission system each point longitudinal direction and vertical transient Displacements, and then calculate suspension insulator
Transient state angle of wind deflection.
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| CN106500648A (en) * | 2016-12-08 | 2017-03-15 | 北京国网富达科技发展有限责任公司 | Power transmission circuit caused by windage monitoring method and device based on dynamic wind |
| CN106500586A (en) * | 2017-01-10 | 2017-03-15 | 国网江苏省电力公司电力科学研究院 | One kind is using wind tunnel experiment analog insulation substring windage yaw angle measuring system and method |
| CN107092766A (en) * | 2017-06-27 | 2017-08-25 | 国网江苏省电力公司电力科学研究院 | A kind of wire windage yaw insulation check method based on finite element |
| CN107194059A (en) * | 2017-05-19 | 2017-09-22 | 国网河南省电力公司电力科学研究院 | A kind of ice coating wire based on icing wobbler action waves method for numerical simulation |
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| CN108321749A (en) * | 2018-01-23 | 2018-07-24 | 中国电力科学研究院有限公司 | A kind of power transmission circuit caused by windage forecasting procedure and device based on numerical value meteorological data |
| CN109409682A (en) * | 2018-09-28 | 2019-03-01 | 国网湖南省电力有限公司 | The appraisal procedure and system of interconnected power network icing degree |
| CN112051024A (en) * | 2020-08-06 | 2020-12-08 | 国网江西省电力有限公司电力科学研究院 | Icing conductor aerodynamic force wind tunnel test method |
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| CN112464589A (en) * | 2020-12-11 | 2021-03-09 | 国网新疆电力有限公司电力科学研究院 | Simplified numerical simulation method for aerodynamic resistance of power transmission conductor |
| CN113468692A (en) * | 2021-07-19 | 2021-10-01 | 大连理工大学 | Three-dimensional wind field efficient simulation method based on delay effect |
| CN113468692B (en) * | 2021-07-19 | 2022-05-13 | 大连理工大学 | Three-dimensional wind field efficient simulation method based on delay effect |
| CN114757077A (en) * | 2022-04-21 | 2022-07-15 | 内蒙古电力（集团）有限责任公司内蒙古电力经济技术研究院分公司 | Construction method of wind deflection angle prediction model of double-split line suspension insulator string |
| CN114757077B (en) * | 2022-04-21 | 2024-04-16 | 内蒙古电力（集团）有限责任公司内蒙古电力经济技术研究院分公司 | Construction method of wind deflection angle prediction model of double-split-line suspension insulator string |
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