CN109583024A - A kind of overhead power transmission ground wire strand Contact Effect analysis method and system - Google Patents
A kind of overhead power transmission ground wire strand Contact Effect analysis method and system Download PDFInfo
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Abstract
A kind of overhead power transmission ground wire strand Contact Effect analysis method and system, tension analysis method when the method includes determining the global stiffness matrix of aerial earth wire global analysis, establishing aerial earth wire global analysis, the fine stiffness matrix and external load vector, the nonlinear contact analysis method for establishing strand for determining the force-bearing situation under self weight and external load act on, establishing strand, it determines the contact force between each strand, establish strand contact force non-linear iterative, determine each stock contact force of the stress balance equation of entire ground wire, analytical calculation ground wire.The system comprises aerial earth wire Parameter analysis module, aerial earth wire rigidity matrix analysis module, aerial earth wire tension analysis module, strand stiffness matrix and external load analysis modules, strand stress equation analysis module, strand contact stress analysis module.Method proposed by the present invention can accurately and effectively analyze the contact stress of each stock of aerial earth wire, fully meet the fine requirement of Practical Project analysis.
Description
Technical field
The present invention relates to a kind of overhead power transmission ground wire strand Contact Effect analysis method and systems, belong to aerial earth wire technology neck
Domain.
Background technique
Transmission line of electricity is important lifeline engineering and energy delivery infrastructure, has at home and abroad obtained widely answering
With.Due to transmission line of electricity for a long time field be on active service, pass through many landform and weather complex area, thus be easy high wind, earthquake,
The strong external load effect such as icing is lower to be occurred damage and destroys, this will cause serious economic loss and secondary disaster.Therefore, it ties
The reality of China's work transmission line catastrophe is closed, development is prevented and reduced natural disasters accordingly and the work of military service Performance Evaluation has important section
Learn meaning and engineering value.Aerial earth wire is the important component in Transmission Tower-line System, plays the important work of transmission electric power
With this is also the substantive characteristics that Transmission Tower-line System is different from other all kinds of highrise steel structures.The mechanical property of aerial earth wire and
Intensity Design is related to the service safety of transmission line of electricity, therefore is a critical issue during Transmission Line Design is built.But
Conventional aerial design of Grounding Connections does not consider the mechanical property of different layers in ground wire, previous related design of Grounding Connections be usually regarded as it is each to
The suspension cable of the same sex, directly progress Analysis of Bearing Capacity.This method does not account for the thin portion mechanics of each stock steel strand wires in aerial earth wire
Performance, cannot consider the interaction effect between each stock of ground wire, thus can only general control ground wire running tension and axis answer
Power, but the thin portion stress characteristic of aerial earth wire can not be grasped, it especially can not effectively grasp non-between each strand of aerial earth wire
The characteristics of linear contact effect.
Aerial earth wire is widely applied in transmission line of electricity at present, but at present for each strand contact effect of ground wire
The analysis calculation method answered is also very poor, can only carry out the global analysis of ground wire using finite element software at present, can not be quasi-
The really stress characteristic of evaluation each strand of ground wire.Common method is that the global finite element of aerial earth wire is established using finite element method
Model, and carry out its bearing capacity calculation.But since aerial earth wire is actually to be made of more strands, current method root
Originally it can not consider the Contact Effect between each strand of ground wire.Effective ways how are established, aerial earth wire stock is analyzed to accurate quantitative analysis
The Contact Effect of line is always a problem for perplexing engineers and technicians, and the work of this respect still belongs to blank.To ground contact
Accurate thin portion finite element model must be established respectively for each strand in the analytic process of effect, then be respectively formed each personal share
The stiffness matrix and load vector of line.Therefore, actual analysis process is cumbersome and complicated, and it is difficult to analyze.
In general, also very poor for the research of aerial earth wire Contact Effect analysis method, still there are many work to need
Carry out.Research focuses primarily upon the analysis and research of aerial earth wire overall operation tension etc. at present, between each strand of ground wire
The research of nonlinear contact effect does not have relevant report also.The method of strand Contact Effect assessment can accurately be carried out still very
Scarcity needs further to explore and innovate.One of critical issue among these is exactly still to lack at present for aerial earth wire stock
The analysis method and system of line Contact Effect.
Therefore, it is necessary to the characteristics of system research aerial earth wire strand Contact Effect, it is necessary to establish a kind of accurate effective
Ground wire strand contact force analysis method.
Summary of the invention
The object of the present invention is to exist in terms of in order to solve the problems, such as aerial earth wire Contact Effect analysis method, one is proposed
Kind of overhead power transmission ground wire strand Contact Effect analysis method and system, for effectively improve division ground wire Force Calculation efficiency and
Analysis level promotes the analysis appreciable levels and standard of construction of large-scale transmission line of electricity.
The technical solution that the present invention realizes is as follows: a kind of overhead power transmission ground wire strand Contact Effect analysis method, including with
Lower step:
(1) coordinate information for determining aerial earth wire global analysis determines the objects such as elasticity modulus, self weight, the external load of ground wire
Manage parameter and parameters of loading；
(2) the global stiffness matrix K of aerial earth wire global analysis is determined；
(3) tension analysis method when aerial earth wire global analysis is established, determines the stress under self weight and external load effect
Situation；
(4) the fine stiffness matrix of strand is establishedWith external load vector
(5) the nonlinear contact analysis method for establishing strand, determines the contact force between each strand；
(6) strand contact force non-linear iterative is established, determines the stress balance equation of entire ground wire；
(7) each stock contact force of analytical calculation ground wire.
The global stiffness matrix K of the aerial earth wire are as follows:
K=Ke+Kg+Kf
In formula, KeLinear stiffness matrix, K for ground wiregFor the weight stress stiffness matrix of ground wire；KfFor the outer lotus of ground wire
Carry stress stiffness matrix.
Force-bearing situation under the self weight and external load effect are as follows:
Kx=G+F
Wherein, x is the dynamic respond of aerial earth wire；G is ground wire gravity load；F is ground wire due to caused by external load etc.
Imitate joint load；K is the global stiffness matrix of aerial earth wire.
The fine stiffness matrix of the strandWith external load vectorAre as follows:
In formula, D is strand unitary elasticity coefficient matrix；B is strand cell geometry matrix；N is strand unit shape function square
Battle array；bsFor the load volume force vector for acting on strand unit；psForce vector is distributed to act on the external load of strand unit；Ω
For strand element integral region；A is strand unit external load active area subregion.
Contact force f between each strandn:
In formula, KnFor the contact stiffness between each strand；D is the distance between strand contact area.
The stress balance equation of the entire ground wire are as follows:
In formula, xi,jFor the displacement of i-th layer of jth root strand；Gi,jFor ground wire gravity load；Fi,jIt is ground wire due to outer lotus
Equivalent joint load caused by carrying；For the contact force vector acted on strand.
Each stock contact force of vacant lot line are as follows:
In formula, KtFor rigidity of contact surface when stagnant sliding；For the contact force in the direction x of the jth root strand of i-th layer of ground wire；For the contact force in the direction y of the jth root strand of i-th layer of ground wire；For the contact point x of the jth root strand of i-th layer of ground wire
The deformation in direction；For the deformation in the contact point direction y of the jth root strand of i-th layer of ground wire.
A kind of overhead power transmission ground wire strand Contact Effect analysis system of the present invention, including aerial earth wire Parameter analysis module,
Aerial earth wire rigidity matrix analysis module, aerial earth wire tension analysis module, strand stiffness matrix and external load analysis module, stock
Line stress equation analysis module, strand contact stress analysis module.Each module is the progressive logical relation in front and back, only previous
After the completion of module, the function of the latter module is just able to achieve based on its result.
Aerial earth wire Parameter analysis module, for determining nodal information, line style information and the ground wire physics of aerial earth wire
Parameter；The nodal information includes node coordinate, and ground wire line style information is ground wire unit length, and ground wire physical parameter includes elasticity
Modulus, self weight, external load；
Aerial earth wire rigidity matrix analysis module, for establishing the linear rigidity square of ground wire in ground wire global analysis first
Battle array, weight stress stiffness matrix degree and external load stress stiffness matrix, then establish the ground wire overall stiffness under global coordinate system
Matrix；
Aerial earth wire tension analysis module is being self-possessed and the stress balance side under external load effect for establishing aerial earth wire
Journey analyzes the overall operation tension for determining aerial earth wire；
Strand stiffness matrix and external load analysis module form strand rigidity square for establishing strand explication de texte model
Battle array and load vector；
Strand stress equation analysis module initially sets up each strand deformation expression formula of ground wire, then establishes aerial earth wire stock
Line stress balance equation group；
Strand contact stress analysis module, for establishing strand contact force non-linear iterative, and analytical calculation strand
Nonlinear contact power.
The invention has the advantages that the present invention passes through the overall operation tension that global analysis determines aerial earth wire first.
Then set up strand fining stress equation group and nonlinear iteration convergence criterion；Ground wire is further determined by successive ignition
Each strand deforms and determines the nonlinear contact power and Contact Effect of ground wire on this basis；Effectively improve the stress of division ground wire
Computational efficiency and analysis level promote the analysis appreciable levels and standard of construction of large-scale transmission line of electricity.
There is a kind of aerial earth wire strand Contact Effect analysis method proposed by the present invention clear concept, analysis meter to calculate accurately
True advantage.The analysis method and system have applicability, the frame suitable for various different spans, sag and different physical
The Contact Effect analytical calculation of vacant lot line.Before the present invention will have a wide range of applications in the following aerial earth wire Performance Evaluation
Scape generates significant social economic effect.
Detailed description of the invention
Fig. 1 is the method flow diagram of the embodiment of the present invention；
Fig. 2 is aerial earth wire global analysis coordinate system schematic diagram；
Fig. 3 is each strand explication de texte model schematic of aerial earth wire；
Fig. 4 is each strand Contact Effect schematic diagram of ground wire；
Fig. 5 is that each bid of aerial earth wire knows figure；
Fig. 6 is the comparing result of the contact stress of each strand of the second layer；
Fig. 7 is the situation of change of the contact stress of second layer strand under different spans.
Specific embodiment
A specific embodiment of the invention is as shown in Figure 1.
The present embodiment passes through global analysis for the analysis of aerial earth wire Contact Effect first and determines its military service load action
Under tension, its contact force is then determined by Detailled analysis again.
As shown in Fig. 2, the present embodiment determines the information such as the coordinate of aerial earth wire first.Further determine that aerial earth wire entirety
The stiffness matrix and load vector of analysis.Tension analysis method when aerial earth wire global analysis is established, determines its running tension.
It further establishes the explication de texte model of strand and determines its stiffness matrix and external load vector.The non-linear of strand is established to connect
Analysis method and contact force non-linear iterative are touched, the deformation that strand is determined by successive ignition and further solution strand
Nonlinear contact power.
The current shortage strand contact force analysis of aerial earth wire strand Contact Effect analysis method customer service in the present embodiment
The shortcomings that method, can be effectively applied to the analyzing evaluation of practical aerial earth wire strand Contact Effect.
The analysis method and system of a kind of aerial earth wire strand Contact Effect are established in particular by following steps:
Step 1: establishing aerial earth wire coordinate system
As shown in Fig. 2, the global coordinate system that can establish aerial earth wire is O-XYZ.It establishes during local coordinate system o- ξ, o be
Point.
If defining the coordinate (X of each node on three node cable elements on aerial earth wire unit1,Y1,Z1)、(X2,Y2,Z2),
(X3,Y3,Z3) define the displacement (u of three each nodes of node cable elements1,v1,w1)、(u2,v2,w2)、(u3,v3,w3), then aerial earth wire
The modal displacement of unit is represented by vector form:
U=[u v w]T (1)
Modal displacement vector is represented by shape function N and both ends modal displacement UeProduct:
U=NUe (2)
Wherein:
Ue=[u1 v1 w1 u2 v2 w2 u3 v3 w3]T (3)
In formula: N is form function matrix.
The interpolation of coordinate function at any point is identical as positional displacement interpolation function on aerial earth wire unit:
X=NXe (4)
In formula: X is coordinate value of any point under global coordinate system on aerial earth wire unit；XeFor aerial earth wire unit
Coordinate vector of the upper node under global coordinate system:
Xe=[x1 y1 z1 x2 y2 z2 x3 y3 z3]T (5)
Step 2: establishing the stiffness matrix of aerial earth wire global analysis
Global analysis, which need to be carried out first, for aerial earth wire determines its tension.The stiffness matrix of aerial earth wire global analysis needs
Consider the influence of geometric nonlinear.Therefore, stiffness matrix is represented by linear stiffness matrix Ke, weight stress rigidity square
Battle array degree KgWith external load stress stiffness matrix KfThe sum of:
K=Ke+Kg+Kf (6)
Ground wire unit elastic stiffness matrix under local coordinate system may be expressed as:
In formula: E is ground linear elastic modulus；A is ground wire cross-sectional area；L is ground wire unit length.
The elastic stiffness matrix of aerial earth wire unit may be expressed as: under global coordinate system
In formula: T is the coordinate conversion matrix of local coordinate system and global coordinate system.
Aerial earth wire belongs to flexible cable structure, will generate the stress stiffness matrix due to caused by self weight and external load.It is aerial
Weight stress stiffness matrix K of the ground wire under gravity load effectgIt may be expressed as:
W=AE εg (10)
In formula: W is the internal force in ground wire caused by gravity load；εgFor the strain of aerial earth wire caused by W；K0To be
Matrix number.Weight stress stiffness matrix K as a result,gIt can further indicate that are as follows:
Stress stiffness matrix K of the aerial earth wire under outer load actionfIt may be expressed as:
F=AE εf (13)
In formula: F is the internal force in ground wire caused by external load；εfFor the strain of aerial earth wire caused by F.External load is made
Stress stiffness matrix K underfIt can further indicate that are as follows:
Step 3: establishing tension analysis method when aerial earth wire global analysis
When global analysis, aerial earth wire may be expressed as: in the stress balance equation under acting on external load of being self-possessed
Kx=G+F (15)
In formula: x is the dynamic respond of aerial earth wire；G is ground wire gravity load；F is ground wire due to caused by external load etc.
Imitate joint load.
Aerial earth wire is typical strongly geometrically nonlinear system, and the response under external load and gravity load effect is necessary
It is completed using nonlinear iteration method, equilibrium equation may be expressed as:
Kx=R-Rs (16)
In formula: R is the load vector that aerial earth wire is formed due to external load and gravity load, RsFor the equivalent section of initial stress
Point loading vector.
The Non-linear Response Analysis of aerial earth wire is carried out using Newton-Rapshon iterative method.It is first that aerial earth wire is rigid
Matrix group collection is spent, it can thus be concluded that the stress balance equation of aerial earth wire:
(Ke+Kg+Kf) Δ x-R=0 (17)
By the way that tangent stiffness matrix can be retrieved after solving the approximate displacement of aerial earth wire, and the injustice of structure can be calculated
Weigh power, the further displacement correction value for calculating aerial earth wire.The aerial earth wire displacement of+1 step of jth may be expressed as:
xj+1=xj+Δxj (18)
According to the convergence criterion of setting, out-of-balance force is sufficiently small, thinks that calculating finishes.If being unsatisfactory for the convergence of setting
Criterion, then repeatedly above step until meeting convergence criterion.The analytical calculation of next time step is carried out on this basis.
Thus it can determine the aerial earth wire response under outer load and gravity load synergy.
Step 4: establishing the fine stiffness matrix and external load vector of strand
Overall model can not consider the interaction between each strand of ground wire, it is therefore necessary to establish fine strand model
Consider the Contact Effect between strand.Fig. 3 gives each strand explication de texte model schematic of aerial earth wire.Using multinode reality
Body unit establishes the explication de texte model of each strand, wherein each node has 3 freedom degrees.The strain stress of strand unit are as follows:
In formula: u is strand element displacement vector；qeFor strand modal displacement vector；N is strand unit form function matrix；B
For strand cell geometry matrix；For the operator matrix of geometric equation.
Strand element stiffness matrixIt may be expressed as:
In formula: D is strand unitary elasticity coefficient matrix；Ω is strand element integral region.
Act on the equivalent node load on strand unitIt may be expressed as:
In formula: bsFor the load volume force vector for acting on strand unit；psFor the external load distribution for acting on strand unit
Force vector；A is strand unit external load active area subregion.
Step 5: establishing the nonlinear contact analysis method of strand
Each layer strand of aerial earth wire is strained occurring and is extended under outer load action.Since outer layer strand is around internal layer
Steel core is entwined, therefore outer layer strand will generate squeezing action to internal layer steel core and generate extrusion stress under a stretching force,
And contact surface and contact stress are further formed between strand.As shown in figure 4, contact surface is connecing between two different strands
Contact portion point, one of them is target face, another is contact surface.Target face available targets node I, J, K and L are indicated.Contact surface
On node M be in contact with target face, contact show as the distance between M point and contact surface d.Contacting distance d must be big
In or be equal to zero, this be known as contact compatibility conditions.If contacting distance d less than zero, then it represents that occur between two contact surfaces
It mutually penetrates, violates contact compatibility conditions.
It needs to meet contact compatibility conditions in the analytic process of Contact Effect, between contact surface.Contact between each strand
Penalty function method can be used in effect analysis, and the contact force between each strand may be expressed as:
In formula: KnFor the contact stiffness between each strand；D is the distance between strand contact area.
The deformation η of certain point may be expressed as: on strand contact surface
In formula: ηxAnd ηyThe respectively displacement of contact point two orthogonal directions x and y along local coordinate system.Then contact point
Deformation is represented by flexible deformation ηeη is deformed with slidingsSum of the two:
Then the component of the contact force of contact point may be expressed as:
In formula: KtFor rigidity of contact surface when stagnant sliding.
Step 6: establishing strand contact force non-linear iterative
Interaction between each strand of aerial earth wire is an extremely complex nonlinear contact process, therefore its is non-thread
The analysis of property Contact Effect, which has to pass through successive ignition, to be completed.
For i-th layer of aerial earth wire of jth root strand, stress balance equation be may be expressed as:
In formula: xi,jFor the displacement of i-th layer of jth root strand；Gi,jFor ground wire gravity load；Fi,jIt is ground wire due to outer lotus
Equivalent joint load caused by carrying；For the contact force vector acted on strand.
To solution strand stress equation in such a way that Newton-Raphson method and method of addition combine.Iterative process is adopted
With displacement convergence criterion.It is assumed that structure initial displacement isSolve uneven nodal force and overall stiffness square at this time
Battle arrayStrand displacement correction amount is found out according to the out-of-balance force found out in previous step:
Then strand modal displacement under new contact equilibrium form are as follows:
According to the ground displacement of the lines solved under the new equilibrium figure of gained, the Unbalanced force vector Δ of strand can be re-formed
ψi,j.Above step is repeated until income share displacement of the lines difference norm meets the convergence tolorence of setting, then i-th layer of jth root strand
Iterative solution process terminates:
In formula: Tol be it is preset be greater than zero convergence tolorence.
For aerial earth wire, it is necessary to which its all strand all meets contact iteration convergence condition, then entire ground wire
Contact Effect analysis, which is just calculated, to be completed.Therefore the stress balance equation of entire ground wire is actually a series of equations:
In formula: m is the ground wire strand number of plies；N is each layer strand quantity.
For two layers of ground wire of conventional use of GJ-50, inside is single layer steel stock, and outer layer is 6 aluminium stocks, then its stress
Equilibrium equation are as follows:
The above-mentioned multiple ground wire strand stress balance equations of Unified Solution, after k iteration, separate equation reaches convergence
Condition, then analytical calculation terminates.
It then can determine that each stock of ground wire is being self-possessed and the deformation under external load effect by calculating.
Step 7: each stock contact force of analytical calculation ground wire
After the deformation that each strand has been determined, can in the hope of the deformation of each strand contact point, and then can in the hope of i-th layer
The deformation of the contact point of j root strand:
Then the contact force of i-th layer of jth root strand may be expressed as:
A kind of overhead power transmission ground wire strand Contact Effect analysis system, including aerial earth wire Parameter analysis module, aerial ground
Line stiffness matrix analysis module, aerial earth wire tension analysis module, strand stiffness matrix and external load analysis module, strand stress
Equation analysis module, strand contact stress analysis module.
Aerial earth wire Parameter analysis module, for determining nodal information, line style information and the ground wire physics of aerial earth wire
Parameter；The nodal information includes node coordinate, and ground wire line style information is ground wire unit length, and ground wire physical parameter includes elasticity
Modulus, self weight, external load etc..
Aerial earth wire rigidity matrix analysis module, for establishing the linear rigidity square of ground wire in ground wire global analysis first
Battle array, weight stress stiffness matrix degree and external load stress stiffness matrix, then establish the ground wire overall stiffness under global coordinate system
Matrix.
Aerial earth wire tension analysis module is being self-possessed and the stress balance side under external load effect for establishing aerial earth wire
Journey analyzes the overall operation tension for determining aerial earth wire.
Strand stiffness matrix and external load analysis module, for it is rigid to form strand by establishing strand explication de texte model
Spend matrix and load vector.
Strand stress equation analysis module initially sets up each strand deformation expression formula of ground wire, then establishes aerial earth wire stock
Line stress balance equation group.
Strand contact stress analysis module, for establishing strand contact force non-linear iterative, and analytical calculation strand
Nonlinear contact power.
The specific implementation process implemented of the present invention is described with practical aerial earth wire case below:
The ground wire span of certain practical transmission line of electricity is 300m, and ground wire model GJ-80, ground wire is three layers of total 19 stock
Line, third layer are 12 strands, and the second layer is 6 strands, and the per share diameter of ground wire is 2.3mm, and ground wire overall diameter is 11.5mm, meter
Calculation sectional area is 78.94mm2.Ground linear elastic modulus is 185GPa, unit weight 628.4kg/m, and linear expansion coefficient is
1.0×10-6/℃。
The global coordinate system of the aerial earth wire is initially set up as shown in Fig. 2, wherein direction is X to plane foreign side in plane
It is vertically Z-direction to for Y-direction.Then start to carry out dividing elements to the aerial earth wire, which can be divided into 10 lists
Member will then generate 31 nodes.Fig. 3 is the strand model schematic of aerial earth wire.Fig. 4 is each strand Contact Effect signal of ground wire
Figure, Fig. 5 are that each bid of aerial earth wire knows figure.The part of each strand of ground wire is established using nonlinear finite element method herein
Fine finite element, the model contain three complete spiral sections of compound steel strand as shown in figure 3, long 270mm.Knot
Structure model includes 37000 nodes, 30412 3D solid units, and ground line model shares 111000 freedom degrees.
The stiffness matrix K that computer program determines aerial earth wire global analysis is write according to formula (6).
Tension analysis method when computer program establishes aerial earth wire global analysis is write according to formula (15).
The fine stiffness matrix that computer program establishes strand is write according to formula (20) and (21)With external load vector
The nonlinear contact analysis method that computer program establishes strand is write according to formula (22)~(27).
Computer program, which is write, according to formula (31) and (32) establishes strand contact force non-linear iterative.
Computer program analysis, which is write, according to formula (36) and (37) calculates each stock contact force of ground wire.
Since the aerial earth wire of different spans usually has different gravity load and running tension, it is therefore necessary to study
Influence of the ground wire span to contact stress.
When Fig. 6 gives 300m span, the comparing result of the contact stress of each strand of the second layer.
Fig. 7 gives the situation of change of the contact stress of second layer strand under different spans.
By result in figure it is found that being continued to increase as the increase of ground wire span will lead to the tension in ground wire, due to tension
Increase cause the axial deformation of outer layer strand and steel core increase, thus increase between strand and internal layer steel core extruding effect
It answers, while also increasing the mutual extrusion effect of outer layer strand.
Therefore contact stress is gradually increased with the increase of span as can see from Figure 7.It further looks at known to Fig. 7
It was found that although span is different, contact stress basic held stationary, and the different strands under different spans along its length
Contact stress is very close.There is some difference for the contact stress peak value of different ground wire different locations known to analysis result,
The contact stress peak value of internal layer steel core is 31.5MPa, and the peak value contact stress of second layer strand is 32.2MPa.Due to third
On the contrary, its contact stress peak value is with second layer strand, there is also differents with second layer strand for the winding direction of layer strand.But
The contact stress of each stock of ground wire is generally tens MPa in general, much smaller than the axial stress of each stock of ground wire.
It follows that either for internal layer steel core or outer layer strand, due to the effect of strand extrusion effect, respectively
Layer strand is partial points point contact to occur in different location, therefore lead to the contact stress spatial distribution of strand and internal layer steel core simultaneously
Discontinuously.
Analysis the result shows that: the contact that method proposed by the present invention can accurately and effectively analyze each stock of aerial earth wire is answered
Power fully meets the fine requirement of Practical Project analysis.Equivalent analysis method proposed by the present invention wide, amount of calculation with range
Small, the advantages that analysis precision is high.The analysis method and system have applicability, are suitable for various different spans, sag and difference
The Contact Effect analytical calculation of the aerial earth wire of physical parameter.
Claims (8)
1. a kind of overhead power transmission ground wire strand Contact Effect analysis method, the coordinate letter including determining aerial earth wire global analysis
Breath, determines elasticity modulus, self weight, external load physical parameter and the parameters of loading of ground wire；It is characterized in that, the method also includes
Following steps:
(1) the global stiffness matrix K of aerial earth wire global analysis is determined；
(2) tension analysis method when aerial earth wire global analysis is established, determines the force-bearing situation under self weight and external load effect；
(3) the fine stiffness matrix of strand is establishedWith external load vector
(4) the nonlinear contact analysis method for establishing strand, determines the contact force between each strand；
(5) strand contact force non-linear iterative is established, determines the stress balance equation of entire ground wire；
(6) each stock contact force of analytical calculation ground wire.
2. a kind of overhead power transmission ground wire strand Contact Effect analysis method according to claim 1, which is characterized in that described
The global stiffness matrix K of aerial earth wire are as follows:
K=Ke+Kg+Kf
In formula, KeLinear stiffness matrix, K for ground wiregFor the weight stress stiffness matrix of ground wire；KfIt is answered for the external load of ground wire
Power stiffness matrix.
3. a kind of overhead power transmission ground wire strand Contact Effect analysis method according to claim 1, which is characterized in that described
Force-bearing situation under self weight and external load effect are as follows:
Kx=G+F
Wherein, x is the dynamic respond of aerial earth wire；G is ground wire gravity load；F is ground wire equivalent section due to caused by external load
Point loading；K is the global stiffness matrix of aerial earth wire.
4. a kind of overhead power transmission ground wire strand Contact Effect analysis method according to claim 1, which is characterized in that described
The fine stiffness matrix of strandWith external load vectorAre as follows:
In formula, D is strand unitary elasticity coefficient matrix；B is strand cell geometry matrix；N is strand unit form function matrix；bs
For the load volume force vector for acting on strand unit；psForce vector is distributed to act on the external load of strand unit；Ω is stock
Line element integral region；A is strand unit external load active area subregion.
5. a kind of overhead power transmission ground wire strand Contact Effect analysis method according to claim 1, which is characterized in that described
Contact force f between each strandn:
In formula, KnFor the contact stiffness between each strand；D is the distance between strand contact area.
6. a kind of overhead power transmission ground wire strand Contact Effect analysis method according to claim 1, which is characterized in that described
The stress balance equation of entire ground wire are as follows:
In formula, xi,jFor the displacement of i-th layer of jth root strand；Gi,jFor ground wire gravity load；Fi,jFor ground wire since external load draws
The equivalent joint load risen；For the contact force vector acted on strand.
7. a kind of overhead power transmission ground wire strand Contact Effect analysis method according to claim 1, which is characterized in that described
Each stock contact force of vacant lot line are as follows:
In formula, KtFor rigidity of contact surface when stagnant sliding；For the contact force in the direction x of the jth root strand of i-th layer of ground wire；
For the contact force in the direction y of the jth root strand of i-th layer of ground wire；For the contact point direction x of the jth root strand of i-th layer of ground wire
Deformation；For the deformation in the contact point direction y of the jth root strand of i-th layer of ground wire.
8. a kind of overhead power transmission ground wire strand Contact Effect analysis system, which is characterized in that the system comprises:
Aerial earth wire Parameter analysis module, for determining nodal information, line style information and the ground wire physical parameter of aerial earth wire；
The nodal information includes node coordinate, and ground wire line style information is ground wire unit length, ground wire physical parameter include elasticity modulus,
Self weight, external load；
Aerial earth wire rigidity matrix analysis module, for established in ground wire global analysis first ground wire linear stiffness matrix,
Then weight stress stiffness matrix degree and external load stress stiffness matrix establish the ground wire overall stiffness square under global coordinate system
Battle array；
Aerial earth wire tension analysis module is being self-possessed and the stress balance equation under external load effect for establishing aerial earth wire,
Analyze the overall operation tension for determining aerial earth wire；
Strand stiffness matrix and external load analysis module, for establishing strand explication de texte model, formed strand stiffness matrix and
Load vector；
Strand stress equation analysis module initially sets up ground wire each strand deformation expression formula, then establish aerial earth wire strand by
Equilibrium equation group；
Strand contact stress analysis module, for establishing strand contact force non-linear iterative, and analytical calculation strand is non-
Linear contact power.
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