CN105808881A - Finite element optimum design method for high-voltage cable middle connector - Google Patents
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Abstract
The invention relates to a finite element optimum design method for a high-voltage cable middle connector. The finite element optimum design method comprises the following steps that firstly, the shape and dimension of an integral structure of a semiconductive stress cone component are designed according to the two-dimensional axial symmetry integral structure of the high-voltage cable middle connector; secondly, a stress cone finite element two-dimensional calculation model is established; thirdly, finite element calculation is carried on the cable middle connector; fourthly, a node is taken form the part, close to a shielding layer, on a cable insulation layer, a conical surface curve serves as a mapping path, and a graph of the relation between the intensity of an electric field on the path and S is obtained; fourthly, the graph of the relation between the intensity of the electric field and S is observed, and if the electric field intensity E curve waveform reaches the maximum at the part, near a notch of a metal shielding layer, of the electric field, the value of the electric field is gradually attenuated along with increasing of the radian distance of the stress cone, and the electric field is very tiny when a certain distance is reached, the final structure model of the high-voltage cable middle connector is obtained, and otherwise the fifth step is carried out; fifthly, parameters of the finite element calculation model are corrected again, and the second step is carried out.
Description
Technical field
The present invention relates to high-voltage cable middle joint technical field, especially relate to a kind of finite element optimum design method of high-voltage cable middle joint.
Background technology
High-voltage cable middle joint is the weak spot of power cable line, and in the statistics that power cable breaks down, the fault rate of cable accessory is approximately 70%.After the terminal of cable peels off outer jacket and the screen layer of certain size, change the original Electric Field Distribution of cable, create electric field distortion, comparatively concentrate at shielding cut-off part electric lines of force, being apparent from by the field intensity computing formula of high-voltage cable middle joint, maximum field occurs at shielding cut-off point, in order to improve the Electric Field Distribution of cable intermediate joint, have employed the cable intermediate joint treatment measures of multiple minimizing electric field distortion: on cable insulation, 1. apply new insulating barrier, it is possible to increase equivalence insulation radius；2. it is coated with semiconductive varnish at the insulating surface at cable shield edge, it is possible to reduce the electric potential gradient near the impedance and screen layer on surface；3. near screen layer, install bonding ring additional, increase radius of curvature；4. with stress cone, electric fields uniform distribution etc. is forced.At present both at home and abroad conventional is the 4. plant method, the stress tube mainly made with room temperature liquid silicone rubber and firm silicone rubber material and stress cone.
Along with growing continuously and fast of China's economic, electricity needs is also multiplied, and defines Large Copacity centrality supply load center, causes that the demand of ultrahigh-voltage XLPE cable system also increases sharply.220kV cable run is being run in the big cities such as current BeiJing, China, Shanghai, Guangzhou, and main or as power station, hydroenergy storage station the high-pressure side lead-out wire of 500kv cable uses, along with being continuously increased of urban distribution network load, 500kV cable system is also being built on the ground such as Beijing, Shanghai, China has been provided with producing the ability of the extra-high-tension cable including 500kV grade, but being provided that the producer of 220kV and ratings above cable accessory is few at present, 500kV cable accessory is also in the tackling key problem development phase.State's net DianKeYuan cable is promoting 500kV cable body and the production domesticization of 220kV cable accessory.Requirement due to the thinning trend of the insulation thickness of extra-high-tension cable extruded insulation, it will make the work field intensity that cable body insulate improve, how to evaluate the adnexa insulating properties run under high field intensity extremely important.But, there is the difficulty in processing in the conical surface loaarithmic curve shaped in practical operation by lathe, conventional method is to carry out substituting desirable conical line with one or more straight line, or adopt broken line and arc-spline curve close approximation ideal conical line, all cannot understand the distribution situation of stress cone internal electric field,, also just cannot the shape in design stress tapered end portion.
Summary of the invention
The technical problem to be solved in the present invention is: provide a kind of finite element optimum design method of high-voltage cable middle joint.By using Finite Element Method to be analyzed, design con-trol value according to some key points, the distribution of high-voltage cable middle joint internal electric field is adjusted by adjusting stress cone curve shape and stress cone length, the distribution of its internal electric field is improved by adjusting stress cone end curvature, thus solving to understand a difficult problem for stress cone internal electric field distribution situation well, to overcome the deficiencies in the prior art.
Beneficial effects of the present invention is as follows:
In electromagnetic field analysis, FInite Element is one of more advanced method, it is highly effective when solving bounded problem, it it is a kind of numerical computation method, it analyzes the ultimate principle of electric field is that handled object is first divided into limited unit (containing some nodes), the electromotive force at each node place under certain border and initial condition is solved further according to scalar electric potential, then other correlatives are solved further, this method can understand the Electric Field Distribution situation of the internal each point of stress cone intuitively, the distribution of its internal electric field is adjusted by adjusting stress cone curve shape and its axial length, the distribution of its internal electric field is improved also by adjusting stress tapered end curvature.The present invention is based on finite element method, adopt broken line and arc-spline curve approximate simulation conical line, set up electric field finite element two dimension computation model to be calculated, it is analyzed according to existing result of calculation, constantly repeat to adjust broken line or the curve of unfavorable Electric Field Distribution, again revise and set up electric field finite element two dimension computation model to be calculated, finally make the Electric Field Distribution result after calculating reach desirable standard-required along conical line.By example, carry out calculating repeatedly, analyze and optimizing to the electric field data of high-voltage cable middle joint.Verify by analysis, the method in the cable between joint electric Field Calculation and optimize design in be practicable, the design for high-voltage cable middle joint provides a kind of new thinking and method.
Accompanying drawing explanation
Fig. 1 is two-dimensional axial symmetric structural model figure of the present invention.
Fig. 2 is high-voltage cable middle joint finite element two dimension computation model figure of the present invention.
Fig. 3 (a) is the electric field intensity Local Vector figure of high-voltage cable middle joint conical line of the present invention.
The electric field intensity local cloud atlas that Fig. 3 (b) is high-voltage cable middle joint conical line of the present invention.
Fig. 4 is high-voltage cable middle joint E, EX(electric field X-component of the present invention), EY(electric field Y-component) value is along the variation diagram of conical line.
Fig. 5 is the partial view of finite element two dimension computation model stress cone of the present invention.
Fig. 6 is E, EX(electric field X-component after Adjustable calculation model of the present invention), EY(electric field Y-component) value is along the variation diagram of conical line.
Detailed description of the invention
Being described below in detail embodiments of the invention, the example of described embodiment is shown in the drawings, and wherein same or similar label represents same or similar element or has the element of same or like function from start to finish.The embodiment described below with reference to accompanying drawing is illustrative of, and is only used for explaining the present invention, and is not considered as limiting the invention.
Cable termination and cable intermediate joint belong to axially symmetric structure, be modeled according to two-dimensional axial symmetric overall structure.High-tension line has power frequency work field intensity and impulse withstand voltage field intensity two class, two class field intensity need to be considered during cable main insulation design simultaneously, the design of the stress cone of transition joint and reagency cone has only to consider the power frequency work field intensity of insulation, both expression formulas are identical, in formula, letter connotation is also identical, they are also one of principal elements determining cable intermediate joint length simultaneously, both conical surfaces are all a constant (or less than a constant) by the axial field intensity making its surface, cable insulation is sublevel not, and increases around insulation relative dielectric constant equal to cable insulation relative dielectric constant.Traditionally designing the overall structure geomery of semiconductive stress cone parts, what mainly have stress cone increases the thickness around insulating barrier, stress cone axial length, and stress cone pattern curve equation, model is as shown in Figure 1.
Wherein, ε1Cable body insulation relative dielectric constant；rcConductor layer outer radius；R body insulation outer radius；
U1Cable bears voltage, takes design voltage U according to various criterionAC；RnIncrease around insulating barrier outer radius；εnCable increases the relative dielectric constant around insulation；EtTangential field；EnNormal direction field intensity.
According to Fig. 1, owing to the conical surface of stress cone is connected with cable shield, current potential is zero, so the stress cone conical surface is an equipotential surface, taking up an official post at the stress cone conical surface takes a bit, the conical surface is equipotential surface, therefore electric lines of force is orthogonal.The angle of cut of tangent line with cable radial direction for crossing F point, then the relation of tangential field and normal direction field intensity is, mistakeThe normal direction field intensity of pointStill can be similar to by cylindrical electric Field Calculation, two-layer grade-insulated cable is then had, wherein, two formulas merge integration and obtain, orderBeing a constant, making the tangential electric field intensity along surface is a constant, obtains conical line loaarithmic curve equation:
(4)
Geomery by (1) (2) (3) formula designing and calculating transition joint, according to electric field distribution law, obtaining stress cone conical surface model is loaarithmic curve equation (4), there is the difficulty in processing in the conical surface loaarithmic curve shaped in practical operation by lathe, conventional method is to carry out substituting desirable conical line with one or more straight line, or adopt broken line and arc-spline curve close approximation ideal conical line, all cannot understand the distribution situation of stress cone internal electric field,, also just cannot the shape in design stress tapered end portion.The method using finite element is analyzed, design con-trol value according to some key points, the distribution of its internal electric field is adjusted by adjusting stress cone curve shape and stress cone length, the distribution of its internal electric field is improved by adjusting stress cone end curvature, solve this difficult problem well, progressively reach desirable standard-required.
In actual electromagnetic field, field is continuous print, and the every bit of the unlimited number of point in space has the field determined amount (namely having mathematically alleged Infinite-dimensional degree of freedom).And FInite Element is that field domain is divided into limited unit, with a simple function as field variables model (also known as interpolating function), constitute the trial solution of each unit midfield.FInite Element by the amount to be asked of any point in unit, can represent with the field value on the intersection point (being called node in FInite Element) of this elementary boundary and other elementary boundaries.Therefore, the calculating of whole field can be attributed to the calculating of limited the node amount of entering the court, by inscribing the problem being converted into limited degree of freedom between Infinite-dimensional degree of freedom.
The Electric Field Distribution of cable termination and cable intermediate joint is an axially symmetric field, and Electric Field Distribution meets Maxwell、Equation, it is assumed that axially and radially zero potential boundary definition is on the bottom cylindrical face that diameter is terminal body diameter several times or curved surface, by uniqueness theorem, the conductor external electric field in model area is uniquely determined, its Potential distribution meets Poisson's equation , owing to not having free charge to be distributed (namely outside conductor), Poisson's equation is reduced to Laplace's equation, namely solve solving in territory.Use finite element methodStep be: 1. find out the corresponding functional of Laplace's equation (by First Boundary Condition), whereinRepresent current potentialGradient, D represents and solves territory；2. the field domain solved is carried out discrete, go segmentation, the functional on whole territory with triangular elementFunctional in each unit can be expressed asSum, L represents the unit number being split into altogether in D territory；3. multinomial is adoptedReal field distribution is represented approx, in formula as field variables modelThe field amount of any point in representative unit, x, y are the coordinate of this point,For coefficient；4. the Matrix Formula of element characteristics is determined, namely, in formulaFor the coordinate on Atria summit,、、For the functional value on Atria summit, coefficientRelevant with the coordinate of the three of triangle apex and potential value, coefficientRespectively,,, wherein, its value is equal to the area of triangular element.
CollatedWhereinIt is the shape function in triangular element in linear interpolating function,And havePrinciple according to the Matrix Calculating limit, corresponding cell matrix equation can basisWillSubstitute into functional, then carry out derivative operation and obtainThe triangular unit matrix character formula of equation
5. basisTry to achieve the characteristic of total system model, be necessary for the characteristic of " set " all unit, then seek the extreme value of functional, derive simultaneous Algebraic Equation set (also known as finite element equation)；6. solving finite element equation, introduces imposed boundary con ditions, obtains the field value of any point in field.
Cable termination and cable intermediate joint belong to axially symmetric structure, and their Electric Field Distribution is also an axially symmetric field, and Electric Field Distribution meets Maxwell、Equation, adopts import high temperature vulcanized liquid silastic (LSR) material and semiconductive material, is simultaneously introduced the filler of high-k, sets up FEM (finite element) model by static two dimensional field structure.Here for 66kV high-voltage cable middle joint, 66kV belongs to mesohigh electric pressure, according to national standard " GB/Z18890.1-2002 rated voltage UkV (Um=(1+10%) U XLPE insulated power cable and adnexa part 1 thereof ", for UkV cable, test voltage U0=U/KV industrial frequency withstand voltage test electricity UAC=2.5U0KV(66kV High-voltage Cable Design voltage UAC=95kV), tolerance time 30 minutes.According to operating experience, line taking core sectional area is 240mm2, cable termination and cable intermediate joint contain silicone rubber () and crosslinked polyethylene () 2 kinds of materials.Calculate the corresponding parameter in table 1 according to known relevant parameter and (1), (2), (3) expression formula, set up limited element calculation model (Fig. 2) and be calculated.
Each parameter list in table 1 model
Potential distribution on modelMeet two dimension Laplace's equation Shown in the boundary value problem such as formula (5) met, potential units is volt, and long measure is millimeter.
(5)
According to cable intermediate joint model, in conjunction with the operating characteristic equation of cable intermediate joint, satisfied boundary condition and concrete structure parameter, consider the performance of material simultaneously, cable intermediate joint is carried out FEM calculation, obtains electric field intensity Local Vector figure and the electric field intensity local cloud atlas of cable intermediate joint conical line.From Fig. 3 (a) it will be seen that be no matter in the straight line portion of stress cone or curved portion, it can be seen that electric field line is all perpendicular to the surface of stress cone, this is because the surface voltage of stress cone is all 0V, is an equipotential plane.In electromagnetic field, equipotential plane and electric field line such as grade are mutually perpendicular to, and direction of an electric field is pointed to stress cone surface by cable core.It can be seen that electric field stress distribution on conical line from Fig. 3 (b).
It is located on cable insulation to close on screen layer place and takes a node S and be defined as starting point, using conical line as mapping path, along this path, the path of different nodal point separation start nodes is S(starting point S=0.0000mm), draw relation such as Fig. 4 and Biao 2 of electric field intensity and S on this path.
The table 2 field value (taking the node near screen layer incision, minima and maximum) that different nodes are corresponding along path
Can be seen that according to Fig. 4 and Biao 2, cable intermediate joint electric field maximum 11686V/mm is near metal screen layer incision, the internal maximum field intensity 6595.3V/mm of cone is much smaller than 25kV/mm (the maximum tangential electric field intensity controlling value of conventional design silicone rubber outer surface), silicone rubber and crosslinked polyethylene interface field intensity 11686V/mm are much smaller than 25kV/mm (conventional design controlling value), the maximum tangential electric field intensity of silicone rubber outer surface is less than 22kV/mm, much smaller than silastic surface flashover electric field intensity, generally speaking, cable intermediate joint stress cone improves the distribution of electric field, illustrate that the scheme designed is rational, feasible.Make electric field more uniform, do not occur, avoid the generation of the sliding elephant that flashes, and then decrease the generation of accident, optimizing being uniformly distributed of cable termination place electric field, technical specification realizes and has exceeded well over the target in table 3 generally speaking, and cable intermediate joint stress cone improves the distribution of junction electric field, but occur in that local maximum 6595.3V/mm inside conical line, illustrate that stress cone conical line has irrational place.In order to make Electric Field Distribution more uniform, it is analyzed according to existing result of calculation, consider and adjust the extreme coordinates of the broken line near stress concentration point, arc-spline curve, change the slope of broken line and the radius of curvature of arc-spline curve simultaneously, remodify limited element calculation model to be calculated, here conical line end points 1 coordinate is changed (shown in Fig. 5): Δ x=-3.89mm, Δ y=-1.92mm, end points 2 coordinate: Δ x=-4.28mm, Δ y=0mm, change R6 into R7 simultaneously, again draw graph of a relation (Fig. 6) and the field scale (table 3) of electric field intensity and S.
The table 3 field value (taking the node near screen layer incision, minima and maximum) that different nodes are corresponding along path
By comparison diagram 4, Fig. 6 and Biao 2, table 3, the change of observation E value along conical line, in Fig. 6, E value ratio is shallower, illustrates that cone internal electric field distribution obtains and further uniformly optimizes.Same reason, in adjustable model, the coordinate of (Fig. 5) end points 3 and relevant parameter, also can make the electric field concentration point of this point uniformly optimize along conical line, and the curve constantly repeating to adjust unfavorable Electric Field Distribution can make Electric Field Distribution progressively reach desirable requirement.Technical specification is finally allowed to realize and exceed well over the target in table 4.
Table 4 test data and technical standard
The present invention mathematical model to cable intermediate joint, finite element theory and method have been analyzed, establish limited element calculation model and carry out simulation calculation, emulation obtains the Electric Field Distribution of the cable intermediate joint stress cone conical surface, and simulation result and theory analysis have been contrasted, it is analyzed according to existing result of calculation, consider and adjust the parameter of curve near stress concentration point, remodify limited element calculation model to be calculated, the Electric Field Distribution along conical line is finally made to progressively reach desirable requirement, namely cable intermediate joint electric field maximum is near metal screen layer cut-off port, and along with the increase of stress cone arcuate distance, electric field value is decayed gradually, behind certain distant place, electric field is very small.Achieve correctness and the effectiveness of cable intermediate joint Electric Field Distribution by finite element optimum design method, the effect of optimization is obvious, and for how, uniformly the research of cable intermediate joint Electric Field Distribution and practical application are significant further.
Although an embodiment of the present invention has been shown and described; it will be understood by those within the art that: when without departing from principles of the invention and objective, these embodiments can be carried out multiple change, amendment, replacement and modification; the scope of the present invention is limited by claim and equivalent replacement thereof; without creative work improvements introduced etc., should be included within protection scope of the present invention.
Claims (1)
1. the finite element optimum design method of high-voltage cable middle joint: by establishing finite element two dimension computation model and carrying out simulation calculation, thus obtaining the Electric Field Distribution of cable intermediate joint stress cone conical line, it is characterised in that comprise the following steps:
S1) according to high-voltage cable middle joint two-dimensional axial symmetric overall structure, the overall structure geomery of design semiconductive stress cone parts, increasing around the thickness of insulating barrier including stress cone, stress cone axial length, stress cone conical surface shape curvilinear equation；
S2) according to electric field distribution law and relevant criterion, try to achieve model parameter table, set up stress cone finite element two dimension computation model, perform step S3)；
S3) according to cable intermediate joint model, in conjunction with the operating characteristic equation of cable intermediate joint, satisfied boundary condition and concrete structure parameter, cable intermediate joint is carried out FEM calculation, obtains electric field intensity Local Vector figure and the electric field intensity local cloud atlas of cable intermediate joint conical line；
S4) closing on screen layer place on cable insulation take a node and be defined as starting point, using conical line as mapping path, along this path, the path of different nodal point separation start nodes is S, draws the relationship graph of electric field intensity and S on this path；
S4) relationship graph of electric field intensity and S is observed, if it is greatest around in metal screen layer incision that electric field intensity E curve waveform is electric field, and along with the increase of stress cone arcuate distance, electric field value is decayed gradually, behind certain distant place, electric field is very small, then draw the final structure model of high-voltage cable middle joint；Otherwise perform step S5)；
S5) relationship graph according to electric field intensity Yu S, adjust the extreme coordinates of the broken line near stress concentration point, arc-spline curve, change the slope of broken line and the radius of curvature of arc-spline curve simultaneously, again revise limited element calculation model parameter, return step S2).
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| CN106934152A (en) * | 2017-03-13 | 2017-07-07 | 顺德职业技术学院 | The modeling method of many stress interface accessory devices of high-tension cable |
| 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 |
| CN107944100A (en) * | 2017-11-13 | 2018-04-20 | 青岛汉缆股份有限公司 | Linear design method for comprehensively producing umbilical cable |
| CN109408901A (en) * | 2018-09-29 | 2019-03-01 | 国网山西省电力公司太原供电公司 | The modeling method of the three-dimensional simulation model of cable connector field distribution |
| CN111814266A (en) * | 2020-05-29 | 2020-10-23 | 深圳供电局有限公司 | Parameter optimization method, device, equipment and storage medium for cable intermediate joint |
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Cited By (11)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN106934152A (en) * | 2017-03-13 | 2017-07-07 | 顺德职业技术学院 | The modeling method of many stress interface accessory devices of high-tension cable |
| CN107944100A (en) * | 2017-11-13 | 2018-04-20 | 青岛汉缆股份有限公司 | Linear design method for comprehensively producing umbilical cable |
| CN107944100B (en) * | 2017-11-13 | 2020-10-30 | 青岛汉缆股份有限公司 | Linear design method for comprehensively producing umbilical cable |
| 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 |
| CN107769148B (en) * | 2017-11-24 | 2019-12-06 | 广东电网有限责任公司珠海供电局 | design method of high-voltage alternating-current cable intermediate joint stress cone |
| CN109408901A (en) * | 2018-09-29 | 2019-03-01 | 国网山西省电力公司太原供电公司 | The modeling method of the three-dimensional simulation model of cable connector field distribution |
| CN109408901B (en) * | 2018-09-29 | 2023-05-09 | 国网山西省电力公司太原供电公司 | Modeling method of three-dimensional simulation model of cable joint electric field distribution |
| CN111814266A (en) * | 2020-05-29 | 2020-10-23 | 深圳供电局有限公司 | Parameter optimization method, device, equipment and storage medium for cable intermediate joint |
| CN111814266B (en) * | 2020-05-29 | 2024-05-14 | 深圳供电局有限公司 | Parameter optimization method, device, equipment and storage medium for cable intermediate connector |
| CN115828710A (en) * | 2023-01-28 | 2023-03-21 | 湖南经研电力设计有限公司 | Uneven thickness design method and system for cable bracket hardware fitting |
| CN115828710B (en) * | 2023-01-28 | 2023-09-08 | 湖南经研电力设计有限公司 | Uneven thickness design method and system for cable support hardware fitting |
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