CN107884632A - A kind of computational methods and system of any division DC line conductive line surfaces electric field - Google Patents
A kind of computational methods and system of any division DC line conductive line surfaces electric field Download PDFInfo
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Abstract
The invention discloses a kind of computational methods of any division DC line conductive line surfaces electric field, including：Arbitrarily equivalent parallel line charge system model is being established at division DC line lead location so that electric field caused by the equivalent parallel line charge system model being capable of the equivalent electric field instead of any division DC line wire；The relation of the equivalent linear charge density and conductive line surfaces current potential of any division DC line wire is calculated using the distance of each equivalent line charge and any division DC line conductive line surfaces any point；Calculate the electric-field intensity and the relation of equivalent linear charge density of any point on any sub-conductor of any division DC line wire；And relation and electric-field intensity and the relation of equivalent linear charge density using any division DC line wire equivalent linear charge density and conductive line surfaces current potential, using known conductive line surfaces current potential, the maximum surface field intensity of the wire of calculating any division DC line.
Description
Technical field
The present invention relates to electric-field intensity research field in power domain, and it is straight more particularly, to a kind of any division
The computational methods and system of Flow Line conductive line surfaces electric field.
Background technology
In order to meet sustainable development of socio-economy power demand, build using high pressure, extra-high voltage grid as core reinforcement
Power network has turned into the strategic objective of power construction.When using long range, large capacity transmission, UHV transmission can be saved effectively
Save circuit to walk, help to improve network structure, build transmission bottlenecks and realize large-scale most optimum distribution of resources, economy and society
Meeting benefit is fairly obvious.
With the raising of extra-high voltage direct-current transmission engineering voltage class, conductive line surfaces electric-field intensity increase, when reaching air
Critical electric field strength value when, corona discharge will be produced in the air around wire, corona discharge can make transmission line of electricity
Power attenuation increases, and also results in a series of environmental problem, including trigger earth electric field effect, ion stream, radio interference and
Audible noise etc..The electromagnetic environment problem of extra high voltage direct current transmission line is extra high voltage direct current transmission line design, builds and transport
The key technical problem that must take into consideration in row.It is directly related with the corona characteristic of transmission line of electricity.In view of economy, power transmission line
Road is usually designed to allow have a certain degree of corona discharge under normal operating voltage.Corona discharge will produce audible noise,
Radio interference and corona loss etc., environment and operation can be affected.The serious journey of DC line corona discharge
Degree is directly determined by conductive line surfaces corona inception field strength and conductive line surfaces field strength, particularly relevant with conductive line surfaces maximum field strength,
Because field strength maximum is exactly corona discharge place the most active.Other diameter of wire, division number and division spacing are to synthesis
The influence of field strength is realized by changing conductive line surfaces field strength, so conductive line surfaces electric-field intensity is calculated, it is especially maximum
Electric-field intensity reduces effect on environment important role to computing electric power line corona loss.
During to make conductive line surfaces voltage higher, the electric-field intensity of conductive line surfaces, which reduces, will not produce corona discharge, will be per phase
Wire is split into the less several wires of diameter.The general electric-field intensity for using multiple fission conductor, reducing around wire in engineering
To solve the energy loss as caused by corona and environmental problem.It is used to calculate split conductor surface field intensity in engineering at present
Method mainly has FInite Element, gradually image method, Optimized Simulated charge method and mark spy-Carl Menger method etc..FInite Element due to
Transmission line wire surrounding electric field calculating field domain scope is wide, and in Electromagnetic Calculation, subdivision degree influences computational accuracy；Mark is special
One Carl Menger method carrys out Approximate Equivalent using split conductor as an isolated wire, it is this it is equivalent be to make every effort to equivalent front and rear conductive line surfaces
Maximum field intensity level it is equal, and can not reflect the size in split conductor per root conductive line surfaces electric field it is different with distribution this
One actual conditions.The conductive line surfaces electric field of any division DC line can still be carried out without a kind of general method at present fast
Speed calculates.
The content of the invention
The invention provides a kind of computational methods and system of any division DC line conductive line surfaces electric field, with solution pair
The problem of any division DC line conductive line surfaces electric field is quickly calculated.
In order to solve the above problems, according to an aspect of the invention, there is provided a kind of any division DC line wire
The computational methods of surface field, methods described include：
Arbitrarily equivalent parallel line charge system model is being established at division DC line lead location so that described equivalent flat
Electric field caused by line Charge System model being capable of the equivalent electric field instead of any division DC line wire；
Described appoint is calculated using the distance of each equivalent line charge and any division DC line conductive line surfaces any point
The relation of meaning division DC line wire equivalent linear charge density and conductive line surfaces current potential；
The surface field intensity of any point on any sub-conductor of any division DC line wire is calculated, and is utilized
The distance of equivalent line charge and any point, calculate any on any sub-conductor of any division DC line wire
The electric-field intensity of point and the relation of equivalent linear charge density；And
According to the relation of the equivalent linear charge density of any division DC line wire and conductive line surfaces current potential and
The electric-field intensity and the relation of equivalent linear charge density of any point, profit on any sub-conductor of any division DC line wire
With known conductive line surfaces current potential, the maximum surface field intensity of the wire of calculating any division DC line.
Preferably, wherein any division DC line wire is：Arbitrarily divide horizontally arranged DC line wire, appoint
Meaning division vertical arrangement DC line wire, arbitrarily divide single time DC line wire or arbitrarily divide multiple-circuit line circuit and lead
Line.
Preferably, wherein calculating the linear charge density of any division DC line wire using image method, and arbitrarily dividing
Split and equivalent parallel line charge system is established at DC line lead location.
Preferably, wherein described utilize each equivalent line charge and any division DC line conductive line surfaces any point
Distance calculates the relation of the equivalent linear charge density and conductive line surfaces current potential of any division DC line wire, in addition to：
Equivalent parallel line charge system model is subjected to equivalent process, the negative polarity split conductor on right side is being considered as left side just
The mirror image of polar division wire, equivalent parallel line charge system is integrally equivalent to unipolarity branching model, to ensure that ground is
Zero-potential surface, place is placed a set of with the aerial Charge System model only different image charge of sign at the predetermined depth of underground
System model.
Preferably, wherein the electric-field intensity on any sub-conductor surface of any division DC line wire includes：
The first electric-field intensity point of charge effect on any sub-conductor axle center of any division DC line wire
Amount；
Any sub-conductor of any division DC line wire polarity wire other oidiospore traverse shafts in the heart
Electric charge and two mirrors that reflect in any sub-conductor of any division DC line wire of other described division sub-conductors
The coefficient second electric-field intensity component of mirror charge；
Electric charge polarity where the sub-conductor on any sub-conductor axle center of any division DC line wire is led
3rd electric-field intensity component of two image charges effect in other sub-conductors of line；
4th electric-field intensity component of other polar division sub-conductors effect；And
5th electric-field intensity component of underground image charge systemic effect.
Preferably, wherein the maximum surface field intensity of single time horizontally arranged any split conductor of DC line is：
When n is odd number,
When n is even number,
Wherein, EmaxFor any split conductor sub-conductor surface field intensity, unit kV/cm；N is wire division number；r
For split conductor sub-conductor radius, unit cm；ε is dielectric coefficient；U is split conductor surface potential, unit kV；S is to lead
Line die opening, unit cm；D is that wire divides spacing, unit cm；H is conductor height, unit cm.
Preferably, wherein when wire division number is 4, the maximum surface of single time horizontally arranged 4 division DC line wire
Electric-field intensity is：
When wire division number is 6, the maximum surface field intensity of single time horizontally arranged 6 division DC line wire is：
When wire division number is 8, the maximum surface field intensity of single time horizontally arranged 8 division DC line wire is：
According to another aspect of the present invention, there is provided a kind of calculating system of any division DC line conductive line surfaces electric field
System, the system include：
Equivalent parallel line charge system model establishes unit, in foundation etc. arbitrarily at division DC line lead location
Imitate parallel lines Charge System model so that electric field caused by the equivalent parallel line charge system model can be described in equivalent replacement
The electric field of any division DC line wire；
Electric potential relation determining unit, for being appointed using each equivalent line charge and any division DC line conductive line surfaces
The distance of any calculates the relation of the equivalent linear charge density and conductive line surfaces current potential of any division DC line wire；
Electric-field intensity relation determination unit, any sub-conductor for calculating any division DC line wire are taken up an official post
The surface field intensity of a bit, and using the distance of equivalent line charge and any point, calculate any division direct current
The electric-field intensity of any point and the relation of equivalent linear charge density on any sub-conductor of line conductor；And
Electric-field intensity determining unit, for according to the equivalent linear charge density of any division DC line wire with leading
On any sub-conductor of the relation of line surface potential and any division DC line wire the electric-field intensity of any point with it is equivalent
Linear charge density relation, using known conductive line surfaces current potential, calculate the wire of any division DC line most
Large surface electric-field intensity.
Preferably, wherein any division DC line wire is：Arbitrarily divide horizontally arranged DC line wire, appoint
Meaning division vertical arrangement DC line wire, arbitrarily divide single time DC line wire or arbitrarily divide multiple-circuit line circuit and lead
Line.
Preferably, wherein calculating the linear charge density of any division DC line wire using image method, and arbitrarily dividing
Split and equivalent parallel line charge system is established at DC line lead location.
Preferably, wherein the electric potential relation determining unit, utilizes each equivalent line charge and any division AC line
The distance of line conductor surface any point calculates the equivalent linear charge density of any division DC line wire and conductive line surfaces
The relation of current potential, in addition to：
Equivalent parallel line charge system model is subjected to equivalent process, the negative polarity split conductor on right side is being considered as left side just
The mirror image of polar division wire, equivalent parallel line charge system is integrally equivalent to unipolarity branching model, to ensure that ground is
Zero-potential surface, place is placed a set of with the aerial Charge System model only different image charge of sign at the predetermined depth of underground
System model.
Preferably, wherein the electric-field intensity on any sub-conductor surface of any division DC line wire includes：
The first electric-field intensity point of charge effect on any sub-conductor axle center of any division DC line wire
Amount；
Any sub-conductor of any division DC line wire polarity wire other oidiospore traverse shafts in the heart
Electric charge and two mirrors that reflect in any sub-conductor of any division DC line wire of other described division sub-conductors
The coefficient second electric-field intensity component of mirror charge；
Electric charge polarity where the sub-conductor on any sub-conductor axle center of any division DC line wire is led
3rd electric-field intensity component of two image charges effect in other sub-conductors of line；
4th electric-field intensity component of other polar division sub-conductors effect；And
5th electric-field intensity component of underground image charge systemic effect.
Preferably, wherein the maximum surface field intensity of single time horizontally arranged any split conductor of DC line is：
When n is odd number,
When n is even number,
Wherein, EmaxFor any split conductor sub-conductor surface field intensity, unit kV/cm；N is wire division number；r
For split conductor sub-conductor radius, unit cm；ε is dielectric coefficient；U is split conductor surface potential, unit kV；S is to lead
Line die opening, unit cm；D is that wire divides spacing, unit cm；H is conductor height, unit cm.
Preferably, wherein when wire division number is 4, the maximum surface of single time horizontally arranged 4 division DC line wire
Electric-field intensity is：
When wire division number is 6, the maximum surface field intensity of single time horizontally arranged 6 division DC line wire is：
When wire division number is 8, the maximum surface field intensity of single time horizontally arranged 8 division DC line wire is：
The computational methods and system of a kind of any division DC line conductive line surfaces electric field of the present invention, can effectively be counted
Calculate any division DC line conductive line surfaces electric field.The quick calculating of any division DC line conductive line surfaces electric field of the present invention
Method is not only simple and easy, and calculating speed is fast, is more suitable for practical engineering application, is led obtaining any division DC line
Formula, which is directly substituted into, after line surface field intensity and conductive line surfaces electric potential relation can obtain conductive line surfaces electric field, obtained division
DC line conductive line surfaces electric field is more accurate compared with the result of calculation that other method obtains, and can obtain sub-conductor surface electricity
Field intensity is distributed；Wire pattern scope that the computational methods of the present invention are applicable is wider, with more universality, can apply to level
Arrange the DC line of any division of DC line, vertical arrangement DC line, single time DC line and multiple-circuit line circuit
The calculating of conductive line surfaces electric field.
Brief description of the drawings
By reference to the following drawings, the illustrative embodiments of the present invention can be more fully understood by：
Fig. 1 is the computational methods 100 according to any division DC line conductive line surfaces electric field of embodiment of the present invention
Flow chart；
Fig. 2 is to replace split conductor electric field according to the electric field of the equivalent parallel line charge system model of embodiment of the present invention
Schematic diagram；
Fig. 3 is the schematic diagram according to the split conductor of bipolarity eight of embodiment of the present invention；
Fig. 4 is according to the equivalent schematic diagram of the split conductor of bipolarity eight of embodiment of the present invention；
Fig. 5 is with leading according to the equivalent line charge of sub-conductor after the simplification of the split conductor of bipolarity eight of embodiment of the present invention
The schematic diagram of line surface potential relation computation model；And
Fig. 6 is the computing system 600 according to any division DC line conductive line surfaces electric field of embodiment of the present invention
Structural representation.
Embodiment
The illustrative embodiments of the present invention are introduced with reference now to accompanying drawing, however, the present invention can use many different shapes
Formula is implemented, and is not limited to embodiment described herein, there is provided these embodiments are to disclose at large and fully
The present invention, and fully pass on the scope of the present invention to person of ordinary skill in the field.Show for what is be illustrated in the accompanying drawings
Term in example property embodiment is not limitation of the invention.In the accompanying drawings, identical cells/elements are attached using identical
Icon is remembered.
Unless otherwise indicated, term (including scientific and technical terminology) used herein has to person of ordinary skill in the field
It is common to understand implication.Further it will be understood that the term limited with usually used dictionary, be appreciated that and its
The linguistic context of association area has consistent implication, and is not construed as Utopian or overly formal meaning.
Fig. 1 is the computational methods 100 according to any division DC line conductive line surfaces electric field of embodiment of the present invention
Flow chart.As shown in figure 1, the computational methods 100 of the meaning division DC line conductive line surfaces electric field of embodiment of the present invention are established
Parallel lines Charge System model equivalent substitution split conductor；Any division equivalent linear charge density of DC line wire is calculated with leading
Line surface potential relation；Any oidiospore conductive line surfaces electric-field intensity is calculated, using equivalent parallel line charge system model, is calculated
Electric-field intensity and linear charge density relation；The relation of split conductor surface field intensity and conductive line surfaces current potential is calculated, obtains
To any division DC line conductive line surfaces electric field.Any division DC line conductive line surfaces electric field of embodiment of the present invention
Computational methods, it is straight any division directly can effectively to be calculated by given extra high voltage direct current transmission line splitted construction parameter
Flow Line conductive line surfaces electric field, it is not only simple and easy, and also calculating speed is fast, is more suitable for practical engineering application, obtained point
It is more accurate compared with the result of calculation that other method obtains to split DC line conductive line surfaces electric field, and sub-conductor surface can be obtained
Electric-field intensity distribution, it can be designed for extra high voltage direct current transmission line, construction and operation provide reference frame.Meanwhile the present invention
Computational methods it is applicable wire pattern scope it is wider, with more universality, can apply to horizontally arranged DC line, vertical
Arrange the meter of the DC line conductive line surfaces electric field of any division of DC line, single time DC line and multiple-circuit line circuit
Calculate.The computational methods 100 of any division DC line conductive line surfaces electric field of embodiment of the present invention since step 101 place,
Arbitrarily equivalent parallel line charge system model is being established in step 101 at division DC line lead location so that described equivalent
Electric field caused by parallel lines Charge System model being capable of the equivalent electric field instead of any division DC line wire.It is preferred that
Ground, wherein any division DC line wire is：Arbitrarily divide horizontally arranged DC line wire, arbitrarily divide vertical row
Row DC line wire, arbitrarily divide single time DC line wire or any division multiple-circuit line line conductor.Preferably, wherein
The linear charge density of any division DC line wire is calculated using image method, and arbitrarily at division DC line lead location
Establish equivalent parallel line charge system.
Fig. 2 is to replace split conductor electric field according to the electric field of the equivalent parallel line charge system model of embodiment of the present invention
Schematic diagram.As shown in Fig. 2 outside cylindrical conductor certain parallel line charge electric field, isolate cylindrical conductor radius be r, on
Face does not have additional electric charge, and the distance that line charge leaves cylinder axle center is a, and the powered charge values of its per unit length institute are λ.Such case
Under electric field can be existed with line charge λ and its two image charge in cylinder- the λ's and the+λ at axle center at place
Electric field replaces.Using this replacement, the electric-field intensity at any point on cylindrical conductor surface can be calculated.This principle is applicable
In all types of wires.
Preferably, each equivalent line charge and any division DC line conductive line surfaces any point are utilized in step 102
Distance calculate the relation of the equivalent linear charge density and conductive line surfaces current potential of any division DC line wire.
Preferably, wherein described utilize each equivalent line charge and any division DC line conductive line surfaces any point
Distance calculates the relation of the equivalent linear charge density and conductive line surfaces current potential of any division DC line wire, in addition to：
Equivalent parallel line charge system model is subjected to equivalent process, the negative polarity split conductor on right side is being considered as left side just
The mirror image of polar division wire, equivalent parallel line charge system is integrally equivalent to unipolarity branching model, to ensure that ground is
Zero-potential surface, place is placed a set of with the aerial Charge System model only different image charge of sign at the predetermined depth of underground
System model.
Fig. 3 is the schematic diagram according to the split conductor of bipolarity eight of embodiment of the present invention.As shown in figure 3, wire interpolar
Distance is s, and conductive line surfaces current potential is ± U, and wire division spacing is d, and split conductor radius is r, and conductor spacing ground level is
h。
Fig. 4 is according to the equivalent schematic diagram of the split conductor of bipolarity eight of embodiment of the present invention.As shown in figure 4, will be double
Each sub-conductor of the split conductor of polarity eight is equivalent to the parallel line charge that linear charge density is λ, and wherein underground image charge is except symbol
Extra is just the same with aerial Charge System.
Fig. 5 is with leading according to the equivalent line charge of sub-conductor after the simplification of the split conductor of bipolarity eight of embodiment of the present invention
The schematic diagram of line surface potential relation computation model.As shown in figure 5, r1, r2 to r8 be respectively each equivalent electric charge in sub-conductor axle center
To the distance of M points, l1 is that image charge is to the distance of M points in positive polar region, and l2 is distance of the negative pole split conductor to M points, and l3 is
Distance of the image charge to M points in negative pole ground.Appointed using each equivalent line charge and any division DC line conductive line surfaces
One point M distance can obtain the current potential of M points.
Preferably, the table of any point on any sub-conductor of any division DC line wire is calculated in step 103
Face electric-field intensity, and using the distance of equivalent line charge and any point, calculate any division DC line wire
Any sub-conductor on any point electric-field intensity and the relation of equivalent linear charge density.
Preferably, wherein the electric-field intensity on any sub-conductor surface of any division DC line wire includes：
The first electric-field intensity point of charge effect on any sub-conductor axle center of any division DC line wire
Amount；
Any sub-conductor of any division DC line wire polarity wire other oidiospore traverse shafts in the heart
Electric charge and two mirrors that reflect in any sub-conductor of any division DC line wire of other described division sub-conductors
The coefficient second electric-field intensity component of mirror charge；
Electric charge polarity where the sub-conductor on any sub-conductor axle center of any division DC line wire is led
3rd electric-field intensity component of two image charges effect in other sub-conductors of line；
4th electric-field intensity component of other polar division sub-conductors effect；And
5th electric-field intensity component of underground image charge systemic effect.
Wherein, the 3rd electric-field intensity component, the 4th electric-field intensity component and the 5th electric-field intensity component can be ignored.
Preferably, any division DC line wire equivalent linear charge density and wire table are utilized in step 104
The electric-field intensity of any point and equivalent line on any sub-conductor of the relation of face current potential and any division DC line wire
The relation of charge density, using known conductive line surfaces current potential, the maximum table of the wire of calculating any division DC line
Face electric-field intensity.
Embodiments of the present invention are illustrated in detail below
The maximum surface field of embodiment any division DC line wire horizontally arranged to single time of the present invention
Intensity is calculated.
First, equivalent parallel line charge system model arbitrarily is being established at division DC line lead location, line charge is close
Spend for λ so that electric field caused by the equivalent parallel line charge system model equivalent can replace any division AC line
Line conductor surface potential is the electric field of U split conductor.Wherein, it is close to obtain split conductor line charge that a variety of methods can be used
Degree, the present invention recommends image method, but is not limited to this method.In embodiments of the present invention, divided using image method
After splitting wire linear charge density, establish equivalent line Charge System and be allowed to electric field and be equivalent to former split conductor electric field.Wherein, only consider
The image charge of reflection for the first time.
Then, any division DC line wire equivalent line is calculated using the distance between each equivalent line charge and required point
Charge density and conductive line surfaces current potential U relations；Using equivalent line charge and required point distance, any division AC line is calculated
The equivalent linear charge density of line conductor and conductive line surfaces electric potential relation.Wherein, model is subjected to equivalent process, by the negative polarity on right side
Split conductor is considered as the mirror image of left side positive polarity split conductor, and such model is integrally equivalent to unipolarity branching model, in order to protect
Card ground is a zero-potential surface, is put in the place that subsurface depth is h a set of with the duplicate image charge system of aerial Charge System
System, only the symbol of the latter is different from aerial electric charge.Because, can will be all in order to calculate the electric field near division phase line
Image charge is concentrated and located on one point in ground.Any point M current potential is
Wherein, r '1r′2r′3…r′n-2r′n-1r′nThe respectively distance of electric charge n λ to the M points of cylinder axis in the heart,
r1r2r3...rn(n-1)-2rn(n-1)-1rn(n-1)Respectively each image charge-λ of wire arrives the distance of M points, l1, l2For mirror image
Distance at electric charge-n λ to M points, l3For the distance at subsurface image charge n λ to M points.Simplification can obtain linear charge density
Electric potential relation with surface is：
Then, the surface field intensity of any point on any sub-conductor of any division DC line wire is calculated,
And using the distance of equivalent line charge and any point, calculate any any sub-conductor for dividing DC line wire
The electric-field intensity of upper any point and the relation of equivalent linear charge density, try to achieve electric-field intensity and linear charge density relation.Wherein,
The electric-field intensity of any point is on any sub-conductor of any division DC line wire：
Wherein, n is odd number.
Wherein, n is even number.
When, can obtain maximum field intensity is：
Finally, the electric potential relation on linear charge density and surface is substituted into any sub-conductor of any division DC line wire
The electric-field intensity of upper any point and the pass of equivalent linear charge density, any division DC line conductive line surfaces electric field is calculated
Intensity and the relation of conductive line surfaces current potential, obtaining any division DC line conductive line surfaces electric-field intensity is：
Wherein, EmaxFor any split conductor sub-conductor surface field intensity, unit kV/cm；N is wire division number；r
For split conductor sub-conductor radius, unit cm；ε is dielectric coefficient；U is split conductor surface potential, unit kV；S is to lead
Line die opening, unit cm；D is that wire divides spacing, unit cm；H is conductor height, unit cm.
When wire division number is 4, i.e., single time horizontally arranged 4 division DC line conductive line surfaces maximum field intensity is：
The present invention another optimal technical scheme be：When wire division number is 6, i.e., single time horizontally arranged 6 division direct current
Line conductor surface maximum field intensity is：
The present invention another optimal technical scheme be：When wire division number is 8, i.e., single time horizontally arranged 8 division direct current
Line conductor surface maximum field intensity is：
Arbitrarily divide horizontally arranged DC line wire, any division is arranged vertically DC line wire, any division is single
It is identical to return the maximum surface field Strength co-mputation principle of DC line wire or any division multiple-circuit line line conductor, herein not
Repeat again.
Illustrate the computational accuracy of the present invention by taking the split conductor of bipolarity four, six, eight as an example below.
In ± 660kV model circuits, wire is 24m, two anode-cathode distance 20m to ground level.Wire is that quadripartion is square
Shape structure distribution, divide spacing 500mm, sub-conductor diameter 42.08mm.The result of calculation of FInite Element is 21.392kV/cm, this
The formula method result of calculation that invention proposes is 21.391kV/cm, error 0.001kV/cm.6 split conductor surface field meters
Formula is calculated, in ± 800kV model circuits, wire is 27m, two anode-cathode distance 22m to ground level.Wire is six positive six sides of division
Shape structure distribution, divide spacing 450mm, sub-conductor diameter 36.23mm.The result of calculation of FInite Element is 21.852kV/cm, this
The formula method result of calculation that invention proposes is 21.859kV/cm, error 0.007kV/cm.8 split conductor surface field meters
Formula is calculated, in ± 1100kV model circuits, wire is 32m, two anode-cathode distance 26m to ground level.Wire is eight divisions positive eight
Side shape structure distribution, divide spacing 500mm, sub-conductor diameter 47.34mm.The result of calculation of FInite Element is 19.380kV/cm,
Formula method result of calculation proposed by the present invention is 19.427kV/cm, error 0.047kV/cm.Result of calculation is as shown in table 1,
It can be drawn by three case result of calculations, the division DC line conductive line surfaces electric field that formula method of the invention is calculated
Intensity is as a result more accurate compared with the result of calculation that other method obtains.
The electric-field intensity of table 1 calculates resultant error contrast table
Fig. 6 is the computing system 600 according to any division DC line conductive line surfaces electric field of embodiment of the present invention
Structural representation.As shown in fig. 6, the computing system of any division DC line conductive line surfaces electric field of embodiment of the present invention
600 include：It is true that equivalent parallel line charge system model establishes unit 601, electric potential relation determining unit 602, electric-field intensity relation
Order member 603 and electric-field intensity determining unit 604.
Preferably, unit 601 is established in equivalent parallel line charge system model, in arbitrarily division DC line lead location
Place establishes equivalent parallel line charge system model so that electric field caused by the equivalent parallel line charge system model can be equivalent
Instead of the electric field of any division DC line wire.Preferably, wherein any division DC line wire is：Arbitrarily
Divide horizontally arranged DC line wire, any division vertical arrangement DC line wire, arbitrarily divide single time DC line and lead
Line or any division multiple-circuit line line conductor.
Preferably, wherein calculating the linear charge density of any division DC line wire using image method, and arbitrarily dividing
Split and equivalent parallel line charge system is established at DC line lead location.
Preferably, in electric potential relation determining unit 602, led using each equivalent line charge and any division DC line
The distance of line surface any point calculates the equivalent linear charge density and conductive line surfaces current potential of any division DC line wire
Relation.Preferably, wherein the electric potential relation determining unit, utilizes each equivalent line charge and any division DC line
The distance of conductive line surfaces any point calculates the equivalent linear charge density and conductive line surfaces electricity of any division DC line wire
The relation of position, in addition to：
Equivalent parallel line charge system model is subjected to equivalent process, the negative polarity split conductor on right side is being considered as left side just
The mirror image of polar division wire, equivalent parallel line charge system is integrally equivalent to unipolarity branching model, to ensure that ground is
Zero-potential surface, place is placed a set of with the aerial Charge System model only different image charge of sign at the predetermined depth of underground
System model.
Preferably, in electric-field intensity relation determination unit 603, any any son for dividing DC line wire is calculated
The surface field intensity of any point on wire, and using the distance of equivalent line charge and any point, calculate described any
Divide the electric-field intensity of any point and the relation of equivalent linear charge density on any sub-conductor of DC line wire.
Preferably, wherein the electric-field intensity on any sub-conductor surface of any division DC line wire includes：
The first electric-field intensity point of charge effect on any sub-conductor axle center of any division DC line wire
Amount；
Any sub-conductor of any division DC line wire polarity wire other oidiospore traverse shafts in the heart
Electric charge and two mirrors that reflect in any sub-conductor of any division DC line wire of other described division sub-conductors
The coefficient second electric-field intensity component of mirror charge；
Electric charge polarity where the sub-conductor on any sub-conductor axle center of any division DC line wire is led
3rd electric-field intensity component of two image charges effect in other sub-conductors of line；
4th electric-field intensity component of other polar division sub-conductors effect；And
5th electric-field intensity component of underground image charge systemic effect.
Preferably, in electric-field intensity determining unit 604, the equivalent line charge of any division DC line wire is utilized
Density and the electric-field strength of any point in the relation of conductive line surfaces current potential and any sub-conductor of any division DC line wire
The relation of degree and equivalent linear charge density, using known conductive line surfaces current potential, calculate any division DC line
The maximum surface field intensity of wire.
Preferably, wherein the maximum surface field intensity of single time horizontally arranged any split conductor of DC line is：
When n is odd number,
When n is even number,
Wherein, EmaxFor any split conductor sub-conductor surface field intensity, unit kV/cm；N is wire division number；r
For split conductor sub-conductor radius, unit cm；ε is dielectric coefficient；U is split conductor surface potential, unit kV；S is to lead
Line die opening, unit cm；D is that wire divides spacing, unit cm；H is conductor height, unit cm.
Preferably, wherein when wire division number is 4, the maximum surface of single time horizontally arranged 4 division DC line wire
Electric-field intensity is：
When wire division number is 6, the maximum surface field intensity of single time horizontally arranged 6 division DC line wire is：
When wire division number is 8, the maximum surface field intensity of single time horizontally arranged 8 division DC line wire is：
The computing system 600 of any division DC line conductive line surfaces electric field of embodiments of the invention is another with the present invention's
The computational methods 100 of any division DC line conductive line surfaces electric field of one embodiment are corresponding, will not be repeated here.
The present invention is described by reference to a small amount of embodiment.However, it is known in those skilled in the art, as
What subsidiary Patent right requirement was limited, except the present invention other embodiments disclosed above equally fall the present invention's
In the range of.
Normally, all terms used in the claims are all solved according to them in the usual implication of technical field
Release, unless clearly being defined in addition wherein.All references " one/described/be somebody's turn to do [device, component etc.] " are all opened ground
At least one example being construed in described device, component etc., unless otherwise expressly specified.Any method disclosed herein
Step need not all be run with disclosed accurately order, unless explicitly stated otherwise.
Claims (14)
1. a kind of computational methods of any division DC line conductive line surfaces electric field, it is characterised in that methods described includes：
Arbitrarily equivalent parallel line charge system model is being established at division DC line lead location so that the equivalent parallel line
Electric field caused by Charge System model being capable of the equivalent electric field instead of any division DC line wire；
Calculated using the distance of each equivalent line charge and the conductive line surfaces any point of any division DC line described any
Divide the relation of the equivalent linear charge density of DC line wire and conductive line surfaces current potential；
The surface field intensity of any point on any sub-conductor of any division DC line wire is calculated, and is utilized equivalent
Line charge and any point distance, calculate any point on any sub-conductor of any division DC line wire
Electric-field intensity and the relation of equivalent linear charge density；And
According to any relation for dividing the equivalent linear charge density of DC line wire and conductive line surfaces current potential and arbitrarily
Divide the electric-field intensity of any point and the relation of equivalent linear charge density on any sub-conductor of DC line wire, using
The conductive line surfaces current potential known, calculate the maximum surface field intensity of the wire of any division DC line.
2. according to the method for claim 1, it is characterised in that any division DC line wire is：Any division
Horizontally arranged DC line wire, any division vertical arrangement DC line wire, arbitrarily divide single time DC line wire or
Any division multiple-circuit line line conductor.
3. according to the method for claim 1, it is characterised in that calculate any division DC line wire using image method
Linear charge density, and arbitrarily establishing equivalent parallel line charge system at division DC line lead location.
4. according to the method for claim 1, it is characterised in that described straight using each equivalent line charge and any division
The distance of Flow Line conductive line surfaces any point calculates the equivalent linear charge density and wire of any division DC line wire
The relation of surface potential, in addition to：
Equivalent parallel line charge system model is subjected to equivalent process, the negative polarity split conductor on right side is considered as left side positive polarity
The mirror image of split conductor, equivalent parallel line charge system is integrally equivalent to unipolarity branching model, to ensure that ground is zero-bit
Face, a set of image charge system different with aerial Charge System model only sign is placed in place at the predetermined depth of underground
Model.
5. according to the method for claim 1, it is characterised in that any sub-conductor of any division DC line wire
The electric-field intensity on surface includes：
First electric-field intensity component of the charge effect on any sub-conductor axle center of any division DC line wire；
Other electricity of oidiospore traverse shaft in the heart of any sub-conductor of any division DC line wire in polarity wire
The two mirror images electricity that lotus and other described division sub-conductors reflect in any sub-conductor of any division DC line wire
The coefficient second electric-field intensity component of lotus；
Electric charge on any sub-conductor axle center of any division DC line wire polarity wire where the sub-conductor
3rd electric-field intensity component of two image charges effect in other sub-conductors；
4th electric-field intensity component of other polar division sub-conductors effect；And
5th electric-field intensity component of underground image charge systemic effect.
6. according to the method for claim 2, it is characterised in that single time horizontally arranged any split conductor of DC line is most
Large surface electric-field intensity is：
When n is odd number,
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When n is even number,
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Wherein, EmaxFor any split conductor sub-conductor surface field intensity, unit kV/cm；N is wire division number；R is point
Split wire sub-conductor radius, unit cm；ε is dielectric coefficient；U is split conductor surface potential, unit kV；S is wire pole
Spacing, unit cm；D is that wire divides spacing, unit cm；H is conductor height, unit cm.
7. according to the method for claim 6, it is characterised in that when wire division number is 4, single time horizontally arranged 4 division
The maximum surface field intensity of DC line wire is：
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When wire division number is 6, the maximum surface field intensity of single time horizontally arranged 6 division DC line wire is：
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When wire division number is 8, the maximum surface field intensity of single time horizontally arranged 8 division DC line wire is：
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8. a kind of computing system of any division DC line conductive line surfaces electric field, it is characterised in that the system includes：
Equivalent parallel line charge system model establishes unit, for arbitrarily establishing equivalent put down at division DC line lead location
Line Charge System model so that electric field caused by the equivalent parallel line charge system model equivalent can replace described any
Divide the electric field of DC line wire；
Electric potential relation determining unit, for utilizing each equivalent line charge and any division DC line conductive line surfaces any point
Distance calculate the relation of the equivalent linear charge density and conductive line surfaces current potential of any division DC line wire；
Electric-field intensity relation determination unit, for calculating any point on any any sub-conductor for dividing DC line wire
Surface field intensity, and using the distance of equivalent line charge and any point, calculate any division DC line
The electric-field intensity of any point and the relation of equivalent linear charge density on any sub-conductor of wire；And
Electric-field intensity determining unit, for according to any division DC line wire equivalent linear charge density and wire table
The electric-field intensity of any point and equivalent line on any sub-conductor of the relation of face current potential and any division DC line wire
The relation of charge density, using known conductive line surfaces current potential, the maximum table of the wire of calculating any division DC line
Face electric-field intensity.
9. system according to claim 8, it is characterised in that any division DC line wire is：Any division
Horizontally arranged DC line wire, any division vertical arrangement DC line wire, arbitrarily divide single time DC line wire or
Any division multiple-circuit line line conductor.
10. system according to claim 8, it is characterised in that calculate any division DC line wire using image method
Linear charge density, and arbitrarily division DC line lead location at establishing equivalent parallel line charge system.
11. system according to claim 8, it is characterised in that the electric potential relation determining unit, utilize each equivalent line electricity
It is equivalent that the distance of lotus and any division DC line conductive line surfaces any point calculates any division DC line wire
Linear charge density and conductive line surfaces current potential relation, in addition to：
Equivalent parallel line charge system model is subjected to equivalent process, the negative polarity split conductor on right side is considered as left side positive polarity
The mirror image of split conductor, equivalent parallel line charge system is integrally equivalent to unipolarity branching model, to ensure that ground is zero-bit
Face, a set of image charge system different with aerial Charge System model only sign is placed in place at the predetermined depth of underground
Model.
12. system according to claim 8, it is characterised in that any son of any division DC line wire is led
The electric-field intensity on line surface includes：
First electric-field intensity component of the charge effect on any sub-conductor axle center of any division DC line wire；
Other electricity of oidiospore traverse shaft in the heart of any sub-conductor of any division DC line wire in polarity wire
The two mirror images electricity that lotus and other described division sub-conductors reflect in any sub-conductor of any division DC line wire
The coefficient second electric-field intensity component of lotus；
Electric charge on any sub-conductor axle center of any division DC line wire polarity wire where the sub-conductor
3rd electric-field intensity component of two image charges effect in other sub-conductors；
4th electric-field intensity component of other polar division sub-conductors effect；And
5th electric-field intensity component of underground image charge systemic effect.
13. system according to claim 9, it is characterised in that single time horizontally arranged any split conductor of DC line
Maximum surface field intensity is：
When n is odd number,
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</msup>
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</msup>
</mfrac>
<munderover>
<mo>&Sigma;</mo>
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</msub>
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When n is even number,
<mrow>
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<mn>4</mn>
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<mn>1.5</mn>
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</mrow>
<mi>n</mi>
</mfrac>
</mrow>
</mfrac>
<mo>,</mo>
</mrow>
Wherein, EmaxFor any split conductor sub-conductor surface field intensity, unit kV/cm；N is wire division number；R is point
Split wire sub-conductor radius, unit cm；ε is dielectric coefficient；U is split conductor surface potential, unit kV；S is wire pole
Spacing, unit cm；D is that wire divides spacing, unit cm；H is conductor height, unit cm.
14. system according to claim 13, it is characterised in that when wire division number be 4 when, single time horizontally arranged 4 points
The maximum surface field intensity for splitting DC line wire is：
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When wire division number is 6, the maximum surface field intensity of single time horizontally arranged 6 division DC line wire is：
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</mrow>
<mn>3</mn>
</msup>
</mfrac>
<mo>&rsqb;</mo>
</mrow>
</mfrac>
<mo>;</mo>
</mrow>
When wire division number is 8, the maximum surface field intensity of single time horizontally arranged 8 division DC line wire is：
<mrow>
<msub>
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<mi>x</mi>
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<mrow>
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<mn>5.358</mn>
<mfrac>
<mi>r</mi>
<mi>d</mi>
</mfrac>
<mo>+</mo>
<mn>2.050</mn>
<mfrac>
<msup>
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</msup>
<msup>
<mi>d</mi>
<mn>2</mn>
</msup>
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<mo>)</mo>
</mrow>
</mrow>
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<mi> </mi>
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<mfrac>
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<mrow>
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<msup>
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<mn>7</mn>
</msup>
</mrow>
</mfrac>
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<mfrac>
<msup>
<mi>s</mi>
<mn>8</mn>
</msup>
<msup>
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<msup>
<mrow>
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<mrow>
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</mrow>
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<mn>2</mn>
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</mrow>
<mn>4</mn>
</msup>
</mfrac>
<mo>&rsqb;</mo>
</mrow>
</mfrac>
<mo>.</mo>
</mrow>
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| CN109344431A (en) * | 2018-08-24 | 2019-02-15 | 国网安徽省电力有限公司建设分公司 | The method for accurately calculating conductive line surfaces electric field strength based on Analogue charge method |
| CN110174548A (en) * | 2019-03-28 | 2019-08-27 | 南方电网科学研究院有限责任公司 | Measuring method, measuring device and measuring system for long straight conductor potential |
| CN110307898A (en) * | 2019-06-26 | 2019-10-08 | 中国电力科学研究院有限公司 | Noise calculation method and device below hvdc transmission line when a kind of use molded line |
| CN110514893A (en) * | 2019-08-14 | 2019-11-29 | 北京卫星环境工程研究所 | The method of micromechanics electric-field sensor measurement spacecraft local surfaces electrified voltage |
| CN111680265A (en) * | 2020-04-30 | 2020-09-18 | 中国电力科学研究院有限公司 | Method and system for calculating surface field intensity of spacer of high-voltage transmission line |
| CN111753391A (en) * | 2020-05-12 | 2020-10-09 | 南方电网科学研究院有限责任公司 | Power transmission line design method and system based on maximum field intensity of surface of split conductor |
| CN115616302A (en) * | 2022-09-27 | 2023-01-17 | 国网江苏省电力有限公司南通供电分公司 | Method and device for accumulating and detecting charge potential of insulating layer of direct current lead |
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| CN109142894A (en) * | 2018-07-05 | 2019-01-04 | 清华大学 | The test method of DC wire corona space charge distribution based on coupling principle of equipotentiality |
| CN109344431A (en) * | 2018-08-24 | 2019-02-15 | 国网安徽省电力有限公司建设分公司 | The method for accurately calculating conductive line surfaces electric field strength based on Analogue charge method |
| CN109344431B (en) * | 2018-08-24 | 2023-04-14 | 国网安徽省电力有限公司建设分公司 | Method for accurately calculating electric field intensity on surface of wire based on analog charge method |
| CN110174548A (en) * | 2019-03-28 | 2019-08-27 | 南方电网科学研究院有限责任公司 | Measuring method, measuring device and measuring system for long straight conductor potential |
| CN110174548B (en) * | 2019-03-28 | 2021-06-11 | 南方电网科学研究院有限责任公司 | Measuring method, measuring device and measuring system for long straight conductor potential |
| CN110307898A (en) * | 2019-06-26 | 2019-10-08 | 中国电力科学研究院有限公司 | Noise calculation method and device below hvdc transmission line when a kind of use molded line |
| CN110514893A (en) * | 2019-08-14 | 2019-11-29 | 北京卫星环境工程研究所 | The method of micromechanics electric-field sensor measurement spacecraft local surfaces electrified voltage |
| CN111680265A (en) * | 2020-04-30 | 2020-09-18 | 中国电力科学研究院有限公司 | Method and system for calculating surface field intensity of spacer of high-voltage transmission line |
| CN111680265B (en) * | 2020-04-30 | 2023-09-22 | 中国电力科学研究院有限公司 | Method and system for calculating surface field intensity of spacer of high-voltage transmission line |
| CN111753391A (en) * | 2020-05-12 | 2020-10-09 | 南方电网科学研究院有限责任公司 | Power transmission line design method and system based on maximum field intensity of surface of split conductor |
| CN115616302A (en) * | 2022-09-27 | 2023-01-17 | 国网江苏省电力有限公司南通供电分公司 | Method and device for accumulating and detecting charge potential of insulating layer of direct current lead |
| CN115616302B (en) * | 2022-09-27 | 2024-02-13 | 国网江苏省电力有限公司南通供电分公司 | Method and device for collecting and detecting charge and potential of insulating layer of direct-current lead |
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