CN106934152A - The modeling method of many stress interface accessory devices of high-tension cable - Google Patents
The modeling method of many stress interface accessory devices of high-tension cable Download PDFInfo
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- CN106934152A CN106934152A CN201710144029.0A CN201710144029A CN106934152A CN 106934152 A CN106934152 A CN 106934152A CN 201710144029 A CN201710144029 A CN 201710144029A CN 106934152 A CN106934152 A CN 106934152A
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- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
- G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
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- Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
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Abstract
The present invention discloses a kind of modeling method of many stress interface accessory devices of high-tension cable, it is to use finite element method, the limited element calculation model of many stress interface shapes is set up by high temperature vulcanized liquid silastic, semiconductive material and high-k filler, the limited element calculation model is modeled by two-dimensional axial symmetric structure, wherein, increase around thickness of insulating layerAnnex axial lengthAnnex stress plane logarithmic curve model equationWherein,ε1It is cable body insulation relative dielectric constant；rcIt is conductor layer outer radius；R is body insulation outer radius；U1It is that cable bears voltage, design voltage U is taken according to various criterionAC；RnIt is to increase around insulating barrier outer radius；εnIt is that cable increases around the relative dielectric constant for insulating；EtIt is tangential field；EnIt is normal direction field intensity.Multiple solutions cable accessory joint obtained by the present invention has technical indicator higher.
Description
Technical field
It is to be related to a kind of many stress interface accessories of high-tension cable more specifically the present invention relates to finite element method field
The modeling method of device.
Background technology
HV cable accessories are the weak links of insulation in cable run, are susceptible to its gate of the quality monitoring of partial discharge phenomenon
The safety and reliability that cable system is powered is tied to, in order to improve the Electric Field Distribution at cable connection, various reductions is employed
The terminal processes measure of electric field distortion:1. apply new insulating barrier on cable insulation, equivalent insulation radius can be increased；②
Insulating surface at cable shield edge is coated with semiconductive varnish, it is possible to reduce along the current potential near the impedance on surface and screen layer
Gradient；3. install bonding ring additional near screen layer, increase radius of curvature；4. Bian cable accessories, force electric fields uniform point
Cloth etc..The more of method is 4. planted using the at present, is mainly had around packet mode, moulded, combination prefabricated and the species of full prefabricated four
Type, is not suitable for the cable connector of 110KV and ratings above around packet mode, thus 110KV and ratings above cable joint geometry master
If moulded and prefabricated.Moulded cable connector is used and cable identical material, does not have foreign material interface, using small
Type extruding machine extrude in a mold and inject with XLPE cable identical super-clean cross-linkable material, and heated cure under pressure formed with
The joint reinforced insulation that XLPE cable insulation is integrally formed, is that a kind of miniaturization, high-quality joint, but the subject matter for existing are
Joint quality almost depends on site operation, to mounting process, quality in site supervision and management and constructing operation personnel technology element
Matter requirement is very high, and the engineering time is long.To improve reliability, simplify construction, shorten the set-up time, reduces cost, meaning is big
Profit, Britain etc. develop and have promoted the use of the full prefabricated joint that can be compared favourably with combination prefabricated joint.The joint can be with
Existing equipment effectively is utilized, can be moved after installation and bent, and its internal structure is fine and close, and in the absence of insulator interface, as long as
The tangential electric-field intensity of cable is controlled in a safety value after installation, ensures that the safe and reliable fortune of cable accessory
OK.Prefabricated joint since the nineties in 20th century, rapid popularization, with the practical development in 275kV grade cables,
Development experiments on 500kV grade cables have also been completed, and the Y-branch joint developed using prefabricated joint technique extensively should
With on 275KV level below cables, in European each main cities, 225KV and 400KV grade XLPE cable equipment amounts gradually increase
Plus, combination prefabricated and full prefabricated joint turn into main flow.Japan is also just being devoted to the prefabricated terminal of exploitation miniaturization, to change
The connection and installation of kind and power system other parts.The big cities such as current BeiJing, China, Shanghai, Guangzhou are in operation
220kV cable runs, and 500kV cables are main or used as the high-pressure side lead-out wire of power station, hydroenergy storage station.With
The ground such as being continuously increased for urban distribution network load, Beijing, Shanghai and also building 500kV cable systems, China has been provided with life
Product includes the ability of the extra-high-tension cable of 500kV grades, but can provide the producer of 220kV and ratings above cable accessory at present
Seldom, 500kV cable accessories also in tackling key problem development phase state's net DianKeYuan cable promoting 500kV cable bodies with
The production domesticization of 220kV cable accessories will make electricity due to the requirement of the thinning trend of the insulation thickness of extra-high-tension cable extruded insulation
The work field intensity of cable body insulation is improved, and the insulating properties for how improving the cable and its annex run under high field intensity are weighed very much
Will, the especially research of HV cable accessories, cable accessory is the weak spot of whole power cable line, but is directed to its knot
The research datas such as structure design, electric property and high-voltage test are but relatively deficient, in addition to several fundamental formulars, refer to document
Less, conventional method is that, come approximate simulation single stress logarithmic curve model, cannot but reach with many broken lines and many arc-spline curves
To preferable design requirement.
The content of the invention
The object of the invention provides a kind of by finite element method, and the stress plane of HV cable accessories device is designed into answer more
The modeling method of power INTERFACE MODEL so that the distribution of HV cable accessories electric field obtains further uniform optimization, with gram
Take the deficiencies in the prior art.
Technical scheme：The modeling method of many stress interface accessory devices of high-tension cable, is using finite element side
Method, the limited of many stress interface shapes is set up by high temperature vulcanized liquid silastic, semiconductive material and high-k filler
Relationship, the limited element calculation model is modeled by two-dimensional axial symmetric structure, wherein, increase around thickness of insulating layerAnnex axial lengthAnnex stress plane logarithm
Curve model equationWherein,ε1It is cable body insulation relative dielectric constant；rc
It is conductor layer outer radius；R is body insulation outer radius；U1It is that cable bears voltage, design voltage U is taken according to various criterionAC；Rn
It is to increase around insulating barrier outer radius；εnIt is that cable increases around the relative dielectric constant for insulating；EtIt is tangential field；EnIt is normal direction field intensity.
Annex stress plane can be using many broken lines, multi-section circular arc SPL model substitution logarithmic curve model.
The beneficial effects of the invention are as follows：
The present invention is to apply finite element method, using high temperature vulcanized liquid silastic, semiconductive material and high-k
Filler, sets up the single, limited element calculation model of many stress interface shapes respectively, designs calculation procedure, launches the meter of electric-field intensity
Calculate and analyze, by observing the Electric Field Distribution situation of each point of solution accessory internal, compared in two kinds of models by solving sight and looking into
The distribution situation of portion's electric field, multiple solutions cable accessory joint has technical indicator higher.
Brief description of the drawings
Fig. 1 is two-dimensional axial symmetric structural model structural representation.
Fig. 2 is single stress interface finite element two dimension computation model structural representation.
Fig. 3 is many stress interfaces finite element two dimension computation model structural representation.
Fig. 4 is single, stress Interface electric field intensity part cloud atlas.
Fig. 5 is many stress Interface electric field intensity part cloud atlas.
Fig. 6 is single stress Interface electric field intensity Local Vector figure.
Fig. 7 is many stress Interface electric field intensity Local Vector figures.
Fig. 8 is electric field value figure on single stress interface.
Fig. 9 is electric field value figure on many stress interfaces.
Specific embodiment
Embodiments of the invention are described below in detail, the example of the embodiment is shown in the drawings, wherein from start to finish
Same or similar label represents same or similar element or the element with same or like function.Below with reference to attached
It is exemplary to scheme the embodiment of description, is only used for explaining the present invention, and is not considered as limiting the invention.
Referring to Fig. 1-9, the present invention discloses a kind of Mathematical Modeling of hv cable termination annex with limited element calculation model point
Analysis method, cable and terminals belong to axially symmetric structure, can be modeled by two-dimensional axial symmetric structure.There is power frequency in high-tension line
Work field intensity and impulse withstand voltage field intensity point, terminal attachment device only consider insulation power frequency work field intensity.Moulded dimension size
Calculated by empirical value by traditional calculating formula, as shown in illustraton of model 1, increasing is around thickness of insulating layerAnnex axial lengthAnd according to electric field point
The pattern curve equation that cloth principle derives cable accessory stress plane is as follows：Because the electric field stress face of annex connects with cable shield
Connect, current potential is zero, so annex stress plane is an equipotential plane, takes up an official post in the cable accessory conical surface and take a point F, the conical surface is equipotential
Face, therefore power line is orthogonal.α was the angle of cut of the tangent line with cable radial direction of F points, then tangential field and normal direction field intensity
Relation isCross the normal direction field intensity E of F pointsnBy cylindrical electric Field Calculation, annex stress plane logarithm is obtained bent
Line model equationWherein,ε1- cable body insulation relative dielectric constant；rc—
Conductor layer outer radius；R-body insulation outer radius；U1- cable bears voltage, and design voltage U is taken according to various criterionAC；Rn—
Increase around insulating barrier outer radius；εn- cable increases the relative dielectric constant around insulation；Et- tangential field；En- normal direction field intensity.
There is the operational difficulty of reality processing, numerical control because the stress plane of logarithmic curve equation model shapes on lathe
Cutter in lathe can not go feed with the TP of curve, the curvilinear motion that cutter can not be processed strictly as requested,
Only possess the function of linear interpolation and circular interpolation, straight line and circular arc piecewise fitting are then used for non-rectilinear and non-circular arch dam
Method carry out interpolation, conventional method is using many broken lines and circular curve approximate simulation annex stress curve form, basic nothing
Method reaches the desirable of design.Here annex stress plane is designed to by many stress using many broken lines, multi-section circular arc SPL
Curve replaces logarithm stress plane curve model (see figure 1).Should be by two dimensional field structural model analysis, but in work according to Fig. 1
In journey practice, often there are many unbounded electromagnetic problems, it is impossible to directly calculated using ANSYS, often away from central field
Set a current potential at domain or magnetic potential decay to zero Artificial Boundaries, the size of bounds value can influence the precision (scope for calculating
Bigger, precision is lower；Scope is smaller, and precision is higher).The present invention is taken as a example by 35kV HV cable accessories annexes, according to inventor
Bounds value is taken for 500mm using experience.Line taking core section product is 50mm simultaneously2, cable accessory insulating barrier length is 70mm.
By national standard " GB/11017--2002 rated voltages U (Um=(1+10%) U XLPEs insulated power cables and its attached
Part third portion ", sets up single, many stress interface two-dimensional finite relationships (such as Fig. 2), and silicon rubber dielectric constant is in model
εn, crosslinked polyethylene dielectric constant be ε1It is ε with dielectric constant of air0, calculated through formula and model parameter lookup list 1 be as follows,
Carry out the calculating and analysis of electric-field intensity.
The Parameters in Mathematical Model of table 1
The boundary condition of finite element method and model：
The symmetry of model structure determines their Electric Field Distribution also axisymmetricly property, due to outside conductor without freely electricity
Lotus is distributed (i.e. ρ=0), and the conductor external electric field in model area is uniquely determined, and its Potential distribution meets Poisson's equationSolved in domain in model 1 and solvedIt is general accordingly equation have been found by First Boundary Condition
FunctionWhereinRepresent current potentialGradient, D represent solution domain；From
PLANE121 triangular elements go segmentation, and the field domain to solving carries out discrete.The unit belongs to the node anti-electrostatic unit of 2 dimension 8, unit
Every node there was only voltage one degree of freedom, 8 nodes have coordinated voltage shape function, being capable of preferably accommodation curve border.
Functional on whole domainFunctional in each unit can be expressed asSum；Induce one interpolating function and with node scale
After showing the field amount of any point in unit, functional is approximately converted into the function of many variables, and variation extreme value is approximately converted into the pole of the function of many variables
Value；Local derviation and order are measured to field be zero after, obtain each single algebraic equation, it is whole solve domain in then obtain algebraically side
Journey group, parameter and GB/12706--2008 test basis according to Fig. 2 models introduce industrial frequency withstand voltageThe mould forced
Type boundary condition (1) formula and impulse withstand voltage are testedModel boundary condition (2) formula, solving finite element side forced
Journey group can obtain each node field value.
According to cable accessory accessory model, with reference to its working characteristics equation and the performance of material, the two of input Solve problems
Dimension topological structure and boundary condition (calculate industrial frequency withstand voltage experiment hereThe model boundary condition forced), design
ANSYS calculation procedures, so that it may automatically generate FEM calculation grid, are then calculated, are analyzed and obtained a result, it is considered to electric field
The complex distribution power taking cable fittings list of stress, the electric field part cloud atlas of many stress interfaces and electric-field intensity Local Vector
Figure, the numerical value on picture represents the size of the electric field E of the point.
By electric field intensity map it is observed that at annex internal stress face nearby electric field distribution situation.It can be seen that nothing
By being straight line portion or curved portion in cable accessory, electric field line all perpendicular to the surface of cable accessory because electric
The surface of cable fittings is that a voltage is zero equipotential plane, in electromagnetic field, equipotential plane and etc. electric field line be mutually perpendicular to, electric field
Direction cable accessory surface is pointed to by cable core.Understand that annex inner boundary is easiest to cause electric field stress collection by Fig. 6-7 simultaneously
In, the electric field at annex internal stress interface is taken for emphasis research object, it is located in computation model on cable accessory insulating barrier and is shielded
The node definition of layer incision position is start node S, and with internal stress parting line as mapping path, different nodal point separations rise along the path
The path length of beginning node is S (starting point S=0.0000mm), and E, E on single, many stress interfaces are drawn respectivelyX、EYWith the graph of a relation of S
8-9, wherein EX、EYElectric field X, the component of Y-direction are represented respectively.According to Fig. 8-9, due to many, the data volume along inner boundary node
It is huge, the screen layer incision in mapping path is taken here, at two crest values of electric field near node electric field value list table 2 in
In, it is compared with test data in Fig. 8-9.
Table 2 along mapping path take key node field amount data (unit is V/mm, S units be mm)
Data can be seen that Changing Pattern of the E values along mapping path in comparison diagram 8-9 and table 2, either single stress interface
Or the annex electric field maximum of many stress planes is much smaller than 25kV/mm (the tangential electric fields of maximum of conventional design silicon rubber outer surface
Strength control value), also much smaller than silastic surface flashover electric-field intensity 22kV/mm.Again by table 2, many stress interfaces
Annex need to increase silicon rubber insulation thickness in cable shield incision position, two subwaves of many stress interface accessories in mapping path
Peak value is respectively less than the crest value of single stress interface accessory, illustrates that many stress interfaces can obtain the distribution of electric field further equal
Even optimization.The impact of voltage wave can be weakened again due to the connection between multiple solutions so that the impulse withstand voltage test effect of annex is non-
Convention is thought (as the data in table 3 indicates).
The technical standard of table 3 and test data
The present invention is to have carried out model simplification to complicated entity, using many broken lines, multi-section circular arc SPL approximate simulation
And replace unmanageable logarithmic curve, and single, the 2d solid computation model at many stress interfaces is established, overcome on lathe
The shaping operational difficulty of reality processing, the two dimensional model with finite element method respectively to setting up has carried out Electric Field Simulation point
Analysis is calculated, and it is research object that emphasis takes out and be easiest to cause in annex the stress interface that electric field stress is concentrated, and by simulation result
It is analyzed with experiment, the electric fields uniform distributed effect of many stress interface accessories is more obvious, impulse voltage test result
It is ideal.The cable accessory designs scheme for indicating many stress interfaces is rational, and the optimization method of finite element is also to go it
Effectively, new thinking is provided to solve the design of cable accessory device and the distribution of further electric fields uniform.These conclusions are
Manufacturing business correctly provides the technical basis for providing a reference with finite element method, while performance the method is in quality control
Effect, it is desirable to the method for finite element is more widely applied in industrial settings.
Although an embodiment of the present invention has been shown and described, it will be understood by those within the art that：Not
Can these embodiments be carried out with various changes, modification, replacement and modification in the case of departing from principle of the invention and objective, this
The scope of invention is limited by claim and its equivalent, without creative work improvements introduced etc., all should be included
Within protection scope of the present invention.
Claims (2)
1. the modeling method of many stress interface accessory devices of high-tension cable, is to use finite element method, by high temperature vulcanized liquid
Silicon rubber, semiconductive material and high-k filler set up the limited element calculation model of many stress interface shapes, and its feature exists
In：The limited element calculation model is modeled by two-dimensional axial symmetric structure, wherein, increase around thickness of insulating layerAnnex axial lengthAnnex stress plane logarithm
Curve model equationWherein,ε1It is cable body insulation relative dielectric constant；rc
It is conductor layer outer radius；R is body insulation outer radius；U1It is that cable bears voltage, design voltage U is taken according to various criterionAC；Rn
It is to increase around insulating barrier outer radius；εnIt is that cable increases around the relative dielectric constant for insulating；EtIt is tangential field；EnIt is normal direction field intensity.
2. the modeling method of many stress interface accessory devices of high-tension cable according to claim 1, it is characterised in that：Annex should
Power face can be using many broken lines, multi-section circular arc SPL model substitution logarithmic curve model.
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Cited By (2)
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| CN113468725A (en) * | 2021-06-09 | 2021-10-01 | 西安交通大学 | Method and system for quickly estimating interface pressure between cable and accessory |
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| CN107769148A (en) * | 2017-11-24 | 2018-03-06 | 广东电网有限责任公司珠海供电局 | A kind of design method of high-voltage alternating cable transition joint stress cone |
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| CN113468725B (en) * | 2021-06-09 | 2024-01-12 | 西安交通大学 | Method and system for rapidly estimating interface pressure between cable and accessory |
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Application publication date: 20170707 |