CN107784187A - A kind of transformer station's electromagnetic environment distribution research method based on boundary element method - Google Patents
A kind of transformer station's electromagnetic environment distribution research method based on boundary element method Download PDFInfo
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Abstract
A kind of transformer station's electromagnetic environment distribution research method based on boundary element method is claimed in the present invention; by carrying out simplifying modeling to electric equipments in transformer station; so as to establish effective computation model of transformer station's electromagnetic environment; using boundary element numerical computation method, the distribution situation of transformer station's built-in field is simply accurately determined；The result of calculation of electromagnetic environment in transformer station is obtained, by the distribution situation of analysis of Electromagnetic, so as to obtain the exceeded situation of the electromagnetism in key equipment region.
Description
Technical field
The invention belongs to transformer station's electromagnetic environment calculating field, and in particular to a kind of transformer station's electromagnetism based on boundary element method
Environment is distributed research model.
Background technology
Terminal of the transformer station as electric power, it is very important place in power system.With Chinese Urbanization construction
Quickening, the improvement of people's living standards is growing day by day to the demand of industrial agricultural power supply so that increasing transformer station goes out
In present resident living region.With putting into operation for a large amount of transformer stations, the public and work about electric power personnel are caused by electromagnetic environmental impact
Possibility and degree improve constantly.And the place that transformer station most concentrates as primary equipment and secondary device, stand in power frequency electric
Distribution of Magnetic Field is complicated, and influence factor is more, to help operation power personnel correctly to recognize transformer station's electromagnetic environment, makes transformer station
Tour personnel effectively avoids exposing to the open air in high electromagnetic field, reduces substation safety hidden danger, analysis transformer station electromagnetic field is to surrounding
Environment and the influence of resident, it is necessary to which in-depth study and analysis are done to electromagnetic environment distribution in transformer station.
And the research of scholar at present is mostly based on the actual measurement at scene, this method input is excessive, and cost is higher, and not
Same voltage class, different types of transformer station's arrangement are different, thus achievement in research applicability is not high.In addition, theoretical calculation
Method is also not mature enough, is frequently run onto computationally intensive, is likely to encounter ill-condition equation, it is difficult to the problems such as solving.
Therefore, transformer station is researched and analysed using effective accurately method, establishes transformer station's distinct device and whole station
Computation model, the magnetic distribution of whole transformer station, which is calculated, has great construction value.
The content of the invention
Present invention seek to address that above problem of the prior art, public affairs are caused primarily directed to current a large amount of putting into operation for transformer station
Many and work about electric power personnel are improved constantly by the possibility and degree of electromagnetic environmental impact.Therefore to the electromagnetic environment point of transformer station
Cloth rule, which carries out research, can reduce the influence of potential safety hazard, analysis of Electromagnetic to surrounding resident, formulate optimal inspection route
To ensure work about electric power personnel's personal safety.Propose it is a kind of effectively accurately method transformer station is researched and analysed based on
Transformer station's electromagnetic environment distribution research method of boundary element method.Technical scheme is as follows：
A kind of transformer station's electromagnetic environment distribution research method based on boundary element method, it comprises the following steps：
S1：Initial analysis is carried out to the influence factor of electromagnetic environment in transformer station, due to the electrical equipment in transformer station (absolutely
Edge pillar, arrester, transformer, breaker, switchgear etc.) in the environment of high voltage electric field caused by bus, it will produce not
The electric charge (free surface charge caused by metal, medium side polarization charge caused by insulator etc.) of same type, these electric charges are again anti-
Come over to cause to stand interior bus surrounding space Electric Field Distribution and the distribution of common line wire it is inconsistent.Therefore, in research transformer station
During interior electromagnetic environment distribution, it is necessary to consider the influence of electrical equipment.
S2：The various electric equipments that obtained influence electromagnetic environment is analyzed in step S1 (insulation column, are taken shelter from the thunder
Device, transformer, breaker, switchgear etc.) carry out simplifying approximation, and the mathematics computing model of electric equipments is established, and
The simplification approximate model established mutually is verified with realistic model；Herein by taking TYD500 Serial capacitance formula voltage transformers as an example,
Step is as follows：
S21：The structure of voltage transformer mainly includes composite insulator pillar, inner chamber, grading ring, capacitor, electromagnetism list
Member, concrete column.It wherein will often save electric capacity in capacitive divider and be considered as entirety, electromagnetic unit is also considered as an entirety, pictorial diagram, imitated
True structural representation and subdivision graph are as shown in Figure 2.Due to voltage transformer structure almost symmetry, X-Rotational is used
Symmetric patterns, its right half part is modeled in detail, wherein blue portion is capacitor, and blackish green color part is electromagnetism
Unit is overall, and yellow is composite insulator (epoxy resin), and large red is grading ring, and grey is cement pillar.Emulation correlation
Material properties parameter is as shown in table 1.
Table 1：Simulation parameter
S22：Following simplify is carried out to voltage transformer model：The full skirt of outside composite insulator is reduced to smooth circle
Cylinder；The structures such as capacitance sheet, electromagnetic unit are reduced to the cylinder of an entirety.Obtained simplified model is as shown in Figure 3.
S23：Transformer station 500kV switch field areas actual motion voltages are 500kV power-frequency voltages, in the situation of low-frequency ac
Under, calculated using electric quasi-static field.Ignore high-voltage line and grading ring connecting tube in calculating, first winding and conducting rod,
High potential 303kV is loaded on high potential housing；Add zero potential on radome, cement pillar and ground.Obtain away from ground 1.5m, away from
Electric field strength profile comparing result is as shown in Figure 4 on voltage transformer 1m to 10m sampling line.It can be obtained by accompanying drawing 4：Before simplification
Electric-field intensity attenuation curve trend afterwards on the sampling line away from ground 1.5m, away from 1~10m of equipment is consistent, and gap is smaller.Before simplification
It is 2.11kV/m to sample maximum on line, and maximum is 2.18kV/m after simplifying, increase 3.2%, within error allowed band.
S3：Based on boundary integral equation, the mathematical modeling obtained in step S2 is analyzed, zoning is discrete
Change, and discrete equation is established on the node of relevant device model；
S4：The actual conditions of transformer station are analyzed, transformer station is integrally allocated as into different places according to voltage class is counted
Calculate, on the basis of analyzing the obtained mathematics computing model of electric equipments in step s3, it is determined that the primary condition calculated
And boundary condition；
S5：The discrete equation for each transformer station place established using numerical computation method to step S4 is solved, meter
Calculate the electromagnetic field of regional；And the magnetic distribution situation being calculated and actual measurement situation are contrasted, it was demonstrated that calculate mould
The reliability of type.
S6：The result of calculation obtained in S5 is analyzed, obtains the exceeded situation of electromagnetism in key equipment region.And carry out
Management measure.
Further, it is as follows to the simplification principle of transformer station's electric equipments in the step S2：
S21：The full skirt of composite insulator outside current transformer is reduced to the smooth face of cylinder, ignored outside gas and porcelain
Set；
S22：Structure including capacitance cone, conducting rod is reduced to the cylinder of an entirety, at the same to capacitance cone,
The relative dielectric constant of conducting rod etc. is modified with resistivity；
S23：Ignore high-voltage line and grading ring connecting tube, and radome, cement pillar and ground are set to zero potential, divide
Wire is approximate using equivalent redius；
S24：Suspended conductor is approximate using dipole mode；
S25：Ignore the influence of framework in transformer station, transformer, capacitor bank.
Further, the boundary integral equation used in the step S3 is indirect boundary integral：
S31：Indirect elementary solution and principle of stacking of the boundary integral based on an electric charge establish boundary integral equation, integral domain
Including all boundary faces, it is believed that the electric charge on electrical body surface is distributed by surface density, and electrical body is located at the confined space, and with infinity
Locate as potential reference point, the current potential of arbitrfary point is calculated by principle of stacking in field domain：
Wherein,：The current potential of arbitrfary point, σ in field domain：The surface density of individual layer source electrical body, ε：Dielectric in air is normal
Number, r1：The distance between source point and site.
S32：For the electric displacement vector of conductive surfaceFormula is rewritten as described in S31：
S33：It is σ for surface densityPDual-layer face dipole moment, the current potential expression formula described in S31 is rewritten as：
Further, the step S4 determines that the primary condition calculated and boundary condition are, using 500kV switch place as
Example.Transformer station 500kV switch field areas actual motion voltages are 500kV power-frequency voltages, in the case of low-frequency ac, using electricity
Quasi-static field is calculated.Ignore high-voltage line and grading ring connecting tube in calculating, add in high-pressure side connection gold utensil and grading ring
Carry actual maximum working voltage value 303kV；The earth is set to low potential 0V with grounding body.
Further, the step S5 uses the whole transformer station place that boundary element numerical computation method is established to step S3
Solved, calculate the electromagnetic field of regional；
Further, the solution of the discrete equation of the whole transformer station place is to determine mesh generation density, and carries out
Optimize subdivision, solved.
Advantages of the present invention and have the beneficial effect that：
1. boundary element method of the present invention calculates transformer station's electromagnetic environment distribution, with the region based on partial differential equation
Solution is compared, and significantly reduces the exponent number of linear algebraic equation systems, and solving speed is very fast.Again because it utilizes the solution of differential operator
Kernel function of the elementary solution of analysis as boundary integral equation, and with parsing with numerical value is combined the characteristics of, generally with higher
Precision, while be easy to handle infinite field and semi-infinite region problem.In the calculating of transformer station's electromagnetic environment distribution, more in fact
With.2. the simplification of electrical equipment mathematical modeling of the present invention, substantially increases the convergence rate of calculating, while also ensures
Certain computational accuracy.3. the electromagnetic environment regularity of distribution of transformer station can be quickly calculated in the present invention, this is formulation
Optimal inspection route is to ensure that the personal safety of work about electric power personnel is significant.
Brief description of the drawings
Fig. 1 is that the present invention provides flow chart of the preferred embodiment present invention based on model simplification Yu boundary Element method；
Fig. 2 is the 500kV voltage transformers modeling figure in detail illustrated in the present invention；
Fig. 3 is that the 500kV voltage transformers illustrated in the present invention simplify modeling figure；
Fig. 4 be in the present invention voltage transformer illustrated simplify longitudinal separation ground 1.5m it is high, away from voltage transformer 1m extremely
Electric field strength profile comparing result on 10m sampling line；
Fig. 5 is the flow chart of boundary Element method in the present invention.
Embodiment
Below in conjunction with the accompanying drawing in the embodiment of the present invention, the technical scheme in the embodiment of the present invention is carried out clear, detailed
Carefully describe.Described embodiment is only the part of the embodiment of the present invention.
The present invention solve above-mentioned technical problem technical scheme be：
Shown in reference picture 1- Fig. 2, the present invention includes electrical equipment and simplifies modeling, the electromagnetic field solution side based on boundary element method
Electromagnetic environment assesses three parts in method and transformer station.
The modeling of electrical equipment is by analyzing electric equipments in transformer station, so as to simplify its mathematical modeling.
On the basis of numerical computations requirement is met, make simulation result more accurate, and reduce truth as far as possible；
Electromagnetic field based on boundary element method solves, and optimizes the subdivision of boundary mesh, and enter using indirect boundary integral equation
Row solves, and accelerates the convergence rate of numerical computations and improves precision；
Electromagnetic environment is assessed in transformer station, based on the magnetic distribution result being calculated, obtains transformer station's essential electrical
Electromagnetic field intensity distribution around equipment, and electromagnetic environment is assessed.
The present invention is directed to transformer station's electromagnetic environment problem, it is proposed that a kind of Electromagnetic Calculation method based on boundary element method,
For realizing the assessment to transformer station's electromagnetic environment, comprise the following steps：
S1：Initial analysis is carried out to the influence factor of electromagnetic environment in transformer station, due to the electrical equipment in transformer station (absolutely
Edge pillar, arrester, transformer, breaker, switchgear etc.) in the environment of high voltage electric field caused by bus, it will produce not
The electric charge (free surface charge caused by metal, medium side polarization charge caused by insulator etc.) of same type, these electric charges are again anti-
Come over to cause to stand interior bus surrounding space Electric Field Distribution and the distribution of common line wire it is inconsistent.Therefore, in research transformer station
During interior electromagnetic environment distribution, it is necessary to consider the influence of electrical equipment.
S2：The various electric equipments that obtained influence electromagnetic environment is analyzed in step S1 (insulation column, are taken shelter from the thunder
Device, transformer, breaker, switchgear etc.) carry out simplifying approximation, and the mathematics computing model of electric equipments is established, and
The simplification approximate model established mutually is verified with realistic model；
S21：The principle that need to be followed when simplifying and modeling has the following aspects：
S211：The full skirt of composite insulator outside current transformer is reduced to the smooth face of cylinder, ignores gas and porcelain
Overcoat；
S212：Structure including capacitance cone, conducting rod is reduced to the cylinder of an entirety, while to electric capacity
The relative dielectric constant and resistivity of cone, conducting rod etc. are modified；
S213：Ignore high-voltage line and grading ring connecting tube, and radome, cement pillar and ground are set to zero potential, point
It is approximate using equivalent redius to split wire；
S214：Suspended conductor is approximate using dipole mode；
S215：Ignore the influence of framework in transformer station, transformer, capacitor bank.
S22：It is defined by S21 principles, the simplification of computation model is carried out by taking TYD500 Serial capacitance formula voltage transformers as an example,
Step is as follows：
The structure of S221 voltage transformers mainly includes composite insulator pillar, inner chamber, grading ring, capacitor, electromagnetism list
Member, concrete column.It wherein will often save electric capacity in capacitive divider and be considered as entirety, electromagnetic unit is also considered as an entirety, pictorial diagram, imitated
True structural representation and subdivision graph are as shown in Figure 2.Due to voltage transformer structure almost symmetry, X-Rotational is used
Symmetric patterns, its right half part is modeled in detail, wherein blue portion is capacitor, and blackish green color part is electromagnetism
Unit is overall, and yellow is composite insulator (epoxy resin), and large red is grading ring, and grey is cement pillar.Emulation correlation
Material properties parameter is as shown in table 1.
Table 1：Simulation parameter
S222：Following simplify is carried out to voltage transformer model：The full skirt of outside composite insulator is reduced to smooth
The face of cylinder；The structures such as capacitance sheet, electromagnetic unit are reduced to the cylinder of an entirety.The obtained simplified model such as institute of accompanying drawing 3
Show.
S223：Transformer station 500kV switch field areas actual motion voltages are 500kV power-frequency voltages, in the feelings of low-frequency ac
Under condition, calculated using electric quasi-static field.Ignore high-voltage line and grading ring connecting tube in calculating, in first winding and conduction
High potential 303kV is loaded on bar, high potential housing；Add zero potential on radome, cement pillar and ground.Obtain away from ground
Electric field strength profile comparing result is as shown in Figure 4 on 1.5m, the sampling line away from voltage transformer 1m to 10m.Can by accompanying drawing 4
：It is consistent to simplify the front and rear electric-field intensity attenuation curve trend on the sampling line away from ground 1.5m, away from 1~10m of equipment, gap compared with
It is small.Maximum is 2.11kV/m on sampling line before simplifying, and maximum is 2.18kV/m after simplifying, and increase 3.2%, is allowed in error
Within the scope of.
S3：Based on boundary integral equation, the mathematical modeling obtained in step S2 is analyzed, zoning is discrete
Change, and discrete equation is established on the node of relevant device model；
S4：The actual conditions of transformer station are analyzed, transformer station is integrally allocated as into different places according to voltage class is counted
Calculate, on the basis of analyzing the obtained mathematics computing model of electric equipments in step s3, it is determined that the primary condition calculated
And boundary condition；So that 500kV switchs place as an example.Transformer station 500kV switch field areas actual motion voltages are 500kV power frequency electrics
Pressure, in the case of low-frequency ac, is calculated using electric quasi-static field.Ignore high-voltage line and grading ring connecting tube in calculating,
Actual maximum working voltage value 303kV is loaded in high-pressure side connection gold utensil and grading ring；The earth is set to low electricity with grounding body
Position 0V.
S5：The discrete equation for each transformer station place established using boundary element numerical computation method to step S4 is asked
Solution, calculate the electromagnetic field of regional；And the magnetic distribution situation being calculated and actual measurement situation are contrasted, it was demonstrated that meter
Calculate the reliability of model.
S6：Solution to the discrete equation of the whole transformer station place described in S5 is to determine mesh generation density, and carries out
Optimize subdivision, obtained result of calculation is analyzed, obtains the exceeded situation of electromagnetism in key equipment region, and carry out regulation and arrange
Apply.
The calculated value of electromagnetic environment is obtained based on above scheme, so as in theory to major electromagnetic equipment week in transformer station
The electromagnetic field enclosed is assessed.
The above embodiment is interpreted as being merely to illustrate the present invention rather than limited the scope of the invention.
After the content for having read the record of the present invention, technical staff can make various changes or modifications to the present invention, these equivalent changes
Change and modification equally falls into the scope of the claims in the present invention.
Claims (6)
1. a kind of transformer station's electromagnetic environment distribution research method based on boundary element method, it is characterised in that comprise the following steps：
S1：Initial analysis is carried out to the influence factor of electromagnetic environment in transformer station, because the electrical equipment in transformer station is in high pressure
In the environment of electric field, different types of electric charge will be produced, influences interior bus surrounding space Electric Field Distribution of standing, electrical equipment must be considered
The influence being distributed to electromagnetic environment in transformer station；
S2：Letter is carried out under certain principle to the various electric equipments that obtained influence electromagnetic environment is analyzed in step S1
Change approximation, and establish the mathematics computing model of electric equipments；
S3：Based on boundary integral equation, the mathematical modeling obtained in step S2 is analyzed, by zoning discretization, and
Discrete equation is established on the node of relevant device model；
S4：The actual conditions of transformer station are analyzed, transformer station is integrally allocated as into different places according to voltage class is calculated,
On the basis of the obtained mathematics computing model of electric equipments is analyzed in step S3, it is determined that the primary condition calculated and border
Condition；
S5：The discrete equation for each transformer station place established using numerical computation method to step S4 is solved, and is calculated each
The electromagnetic field in individual region；And the magnetic distribution situation being calculated and actual measurement situation are contrasted, it was demonstrated that computation model
Reliability.
S6：The result of calculation obtained in S5 is analyzed, obtains the exceeded situation of electromagnetism in key equipment region.And renovated
Measure.
2. transformer station's electromagnetic environment distribution research method according to claim 1 based on boundary element method, it is characterised in that
Simplification step in the step S2 to transformer station's electric equipments is as follows：
S21：The full skirt of composite insulator outside current transformer is reduced to the smooth face of cylinder, ignores gas and porcelain overcoat；
S22：Structure including capacitance cone, conducting rod is reduced to the cylinder of an entirety, at the same to including capacitance cone,
Relative dielectric constant and resistivity including conducting rod are modified；
S23：Ignore high-voltage line and grading ring connecting tube, and radome, cement pillar and ground are set to zero potential, split conductor
It is approximate using equivalent redius；
S24：Suspended conductor is approximate using dipole mode；
S25：Ignore the influence of framework in transformer station, transformer, capacitor bank.
3. transformer station's electromagnetic environment distribution research method according to claim 1 based on boundary element method, it is characterised in that
The boundary integral equation used in the step S3 is indirect boundary integral：
S31：Indirect elementary solution and principle of stacking of the boundary integral based on an electric charge establish boundary integral equation, and integral domain includes
All boundary faces, it is believed that the electric charge on electrical body surface is distributed by surface density, and electrical body is located at the confined space, and using unlimited distance as
Potential reference point, the current potential of arbitrfary point is calculated by principle of stacking in field domain：
Wherein,The current potential of arbitrfary point, σ in field domain：The surface density of individual layer source electrical body, ε：Dielectric constant in air, r1：
The distance between source point and site.
S32：For the electric displacement vector of conductive surfaceFormula is rewritten as described in S31：
S33：It is σ for surface densityPDual-layer face dipole moment, the current potential expression formula described in S31 is rewritten as：
4. transformer station's electromagnetic environment distribution research method according to claim 3 based on boundary element method, it is characterised in that
The step S4 determines that the primary condition calculated and boundary condition are to set voltage side according to the place of actual voltage class
Boundary.
5. transformer station's electromagnetic environment distribution research method according to claim 3 based on boundary element method, it is characterised in that
The step S5 is solved using boundary element numerical computation method to the whole transformer station place that step S3 is established, and is calculated each
The electromagnetic field in region.
6. transformer station's electromagnetic environment distribution research method according to claim 3 based on boundary element method, it is characterised in that
The solution of the discrete equation of the whole transformer station place is to determine mesh generation density, and optimizes subdivision, is solved.
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| CN107831370A (en) * | 2017-11-30 | 2018-03-23 | 西安理工大学 | The finite element method of electromagnetic field near direct current grounding pole and tower grounding net |
| CN113761769A (en) * | 2021-09-09 | 2021-12-07 | 国网甘肃省电力公司电力科学研究院 | Research method for distribution of low-frequency electric field of transformer substation in human body |
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| CN103149459A (en) * | 2013-03-14 | 2013-06-12 | 上海理工大学 | Electromagnetic distribution testing system and electromagnetic distribution testing method thereof |
| CN106203766A (en) * | 2016-06-23 | 2016-12-07 | 深圳供电局有限公司 | A kind of 500kV transformer station string anti-region power frequency electric field optimization method |
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| CN103149459A (en) * | 2013-03-14 | 2013-06-12 | 上海理工大学 | Electromagnetic distribution testing system and electromagnetic distribution testing method thereof |
| CN106203766A (en) * | 2016-06-23 | 2016-12-07 | 深圳供电局有限公司 | A kind of 500kV transformer station string anti-region power frequency electric field optimization method |
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| CN107831370A (en) * | 2017-11-30 | 2018-03-23 | 西安理工大学 | The finite element method of electromagnetic field near direct current grounding pole and tower grounding net |
| CN113761769A (en) * | 2021-09-09 | 2021-12-07 | 国网甘肃省电力公司电力科学研究院 | Research method for distribution of low-frequency electric field of transformer substation in human body |
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