CN102880751A - Method for designing electrode parameters of upright compressed gas standard capacitor - Google Patents

Method for designing electrode parameters of upright compressed gas standard capacitor Download PDF

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CN102880751A
CN102880751A CN2012103397470A CN201210339747A CN102880751A CN 102880751 A CN102880751 A CN 102880751A CN 2012103397470 A CN2012103397470 A CN 2012103397470A CN 201210339747 A CN201210339747 A CN 201210339747A CN 102880751 A CN102880751 A CN 102880751A
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low pressure
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CN102880751B (en
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姜春阳
章述汉
周峰
袁建平
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State Grid Corp of China SGCC
China Electric Power Research Institute Co Ltd CEPRI
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Abstract

The invention relates to a method for designing electrode parameters of an upright compressed gas standard capacitor. According to the method, the capacitance and electric field of the capacitor can be effectively calculated together, and initial values of the electrode parameters can be quickly obtained. Capacitance and field intensity values are slightly adjusted according to simulation calculation, so an electrode dimension determination value can be obtained. Meanwhile, an electrode material can be conveniently selected by theoretical calculation. The method provided by the invention is simple, practical and high in logicality, and can be widely applied to design of the electrode parameters of a standard capacitor. Design efficiency can be effectively improved.

Description

A kind of method for designing of just vertical compressed gas standards electrode for capacitors parameter
Technical field
The present invention relates to a kind of method for designing of compressed gas standards electrode for capacitors parameter of just vertical coaxial configuration, particularly for the method for designing of just vertical standard capacitor high-low pressure electrode, guarded electrode size and material, it belongs to the method for designing field of standard capacitor.
Background technology
Usually, standard capacitor adopts inverted structure more, and most methods for designing is also for this kind structure.But the outer field intensity of inverted construction standard capacitor high voltage electrode insulation cylinder and Potential distribution are difficult to adjust, and design is complicated.And just vertical standard capacitor has solved this problem effectively because the high-low pressure electrode all is installed in the closed metal housing.
At present, the electrode parameter design for just vertical standard capacitor does not still have the pertinent literature report.Chinese invention patent " extra-high voltage reference capacitor " (application number: 200710168924.2, the applying date: 2007-12-17) propose a kind of extra-high voltage reference capacitor, be that high-field electrode and low-field electrode all are fixed on positive vertical structure in the pressure container tank body of bottom with insulated support, the raising that has overcome the standard capacitor electric pressure affects the problem of the raising of its voltage coefficient; For the site test structure, this invention is divided into 3 independent sealed air chambers with standard capacitor, has solved the difficult problem of large-scale experiment equipment inconvenience transportation, for use in site test and detection, yet this patent does not relate to about electrode parameter method for designing aspect.
In view of this, the present invention proposes a kind of method for designing of just vertical compressed gas standards electrode for capacitors parameter, to address the above problem.
Summary of the invention
The objective of the invention is design for just vertical compressed gas standards electrode for capacitors parameter provide a kind of simply, method for designing fast and effectively.
Technical scheme of the present invention is: a kind of method for designing of just vertical compressed gas standards electrode for capacitors parameter, it is characterized in that, and may further comprise the steps:
(1) according to the normative document regulation of compressed gas standards capacitor, determines the correlation parameter requirement of capacitor under the different electric pressures, comprise electric capacity C, voltage coefficient
Figure 961961DEST_PATH_IMAGE001
, temperature coefficient
Figure 338585DEST_PATH_IMAGE002
(2) according to the service condition requirement, select insulating gas, determine electrode surface maximum field strength permissible value E1 MaxAnd the maximum field intensity that allows in guarded electrode surface E2 Max
(3) choose the effective corresponding length initial value of high-low pressure electrode l, lValue needs basis r 1, r 2Result of calculation is adjusted, according to ganged condenser electric capacity deformation formula:
Figure 176091DEST_PATH_IMAGE003
(1)
Calculate
Figure 742201DEST_PATH_IMAGE004
, wherein r 1, r 2Be respectively the high-low pressure electrode radius;
(4) will
Figure 230820DEST_PATH_IMAGE004
Bring coaxial configuration surface electric field intensity computing formula into:
Figure 529078DEST_PATH_IMAGE005
(2)
Calculate r 1, and then by
Figure 916197DEST_PATH_IMAGE004
r 2, consider the plant bulk outward appearance, determine r 1, r 2Whether the result is reasonable;
(5) consider processing request, to what try to achieve in the step (4) r 1, r 2Do the number that rounds up and process, corresponding lValue pushes away acquisition by formula (1) is counter;
(6) low-field electrode end arc radius r 3Owing to being in the guarded electrode, only need to consider to install to get final product, choose correct radial;
(7) guarded electrode transition arc radius r 0Choose, will E2 MaxValue is brought in the following formula, calculates arc radius r 0:
(3)
Wherein U is the high-field electrode maximum working voltage, dBe guarded electrode end circular arc and high-field electrode spacing, d= r 2- r 1
(8) according to calculating in the step (5) lValue calculates in (6), (7) r 1, r 2And r 0In Ansoft Maxwell electromagnetic field simulation software, build two dimension with three-dimensional simulation model and relevant parameter is set;
(9) utilize the distribution of field intensity value and maximum field strength value E1 between Ansoft Maxwell Software simulation calculation high-low pressure electrode MaxAnd E2 MaxWhether less than the reference value in the step (2), extract simultaneously high-low pressure electrode capacitance amount C Cal Calculate and the middle design load of step (1) CDifference
Figure 363544DEST_PATH_IMAGE007
, calculate the high-low pressure electrode pair by following formula and answer the length adjustment value
Figure 615311DEST_PATH_IMAGE008
:
Figure 224147DEST_PATH_IMAGE009
(4)
(10) according to calculating in the step (9)
Figure 335322DEST_PATH_IMAGE008
, in Ansoft Maxwell software, readjust, build model, relevant parameter is set, according to parameter designing is finished until whole parameter meets the demands in repeating step (9), (10) as a result;
(11) with the expansion coefficient of Different electrodes material
Figure 532954DEST_PATH_IMAGE010
Bring respectively formula (5) and (6) calculable capacitor theoretical temperatures coefficient into elastic modulus E With the theoretical voltage coefficient
Figure 534725DEST_PATH_IMAGE012
, determine electrode material according to result of calculation,
Figure 433280DEST_PATH_IMAGE013
(5)
Wherein T 2, T 1For temperature (℃), a=U/E Max-, d 0Be thickness of electrode.
Figure 298468DEST_PATH_IMAGE014
(6)
Wherein d 1, d 2Be respectively the high-low pressure thickness of electrode, UBe the operating voltage effective value.
The invention has the beneficial effects as follows: method for designing of the present invention is for just vertical standard capacitor electrode structure, electric capacity and electric Field Calculation are combined, can obtain fast high-low pressure electrode size parameter, utilizing the theory of capacitor correlation parameter to calculate directly definite electrode material, is effective method for designing of just vertical standard capacitor high-low pressure electrode parameter.
Description of drawings
Fig. 1 is standard capacitor electrode schematic diagram.
Fig. 2 calculates guarded electrode end arc radius r0 and its surface field value calculation procedure Output rusults (having done inverse processes).
Fig. 3 is the schematic diagram of building realistic model 1 in Ansoft Maxwell software.
Fig. 4 is model 1 simulation calculation Electric Field Distribution cloud atlas.
Fig. 5 is model 1 electric capacity calculated value.
Fig. 6 is model 2 simulation calculation Electric Field Distribution cloud atlas.
Fig. 7 is model 2 electric capacity calculated values.
Fig. 8 is the simple process figure of the method for designing of the just vertical compressed gas standards electrode for capacitors of the present invention parameter.
Embodiment
In order to understand better the present invention, further illustrate content of the present invention below in conjunction with embodiment, but content of the present invention not only is confined to the following examples.Those skilled in the art can make various changes or modifications the present invention, and these equivalent form of values are equally within the listed claims limited range of the application.
Below, with a 100pF, the just vertical standard capacitor electrode parameter of 220kV is designed to example and introduces the specific embodiment of the invention.
(1) consulting act.std " JB1811-1992_ compressed gas standards capacitor ", is 100pF according to standard code 220kV standard capacitor capacitance, voltage coefficient
Figure 375008DEST_PATH_IMAGE012
<3 * 10 -5, temperature coefficient≤3 * 10 -5/ ℃.
(2) insulation mode is selected SF 6Gas-insulated.Recommend the high field intensity in selected standard capacitor high-field electrode surface according to engineering experience and correlation technique books E1 Max'≤15kV/mm, E1 MaxGet 75% E1 Max'=11.25kV/mm.Therefore guarded electrode end maximum field strength value E2 Max≤ 12kV/mm.
(3) provided the electrode for capacitors schematic diagram such as Fig. 1.Choose the effective respective heights of high-low pressure electrode L=200mm calculates according to following formula
Figure 145387DEST_PATH_IMAGE015
=1.12,
Figure 395103DEST_PATH_IMAGE003
(1)
(4) will
Figure 318060DEST_PATH_IMAGE015
=1.12 bring formula (2) into, calculate r 1=294.63mm, r 2=330.71mm.
Figure 627818DEST_PATH_IMAGE005
(2)
Calculate r 1, r 2Value is with respect to height lVery inharmonious, if according to this value design, although parameter meets design requirement, capacitor protector cognition presents " short thick " shape.Therefore need to reselect lValue repeats (3), and (4) step is final definite L=350mm, r 1=168.9mm, r 2=205.6mm.Consider part processing, right r 1, r 2Do to the integer that gets on and process, then r 1=170mm, r 2=207mm, l=350mm.
(5) circular arc processing in low-field electrode end is relatively simple, owing to being in the guarded electrode, only need do smoothing processing, gets arc radius 5mm.
(6) because guarded electrode end transition arc r 0Radius can't be directly obtain by following formula, can calculate different value by writing simple computer program, the high-low pressure electrode separation is r 2- r 1=37mm.Result of calculation as shown in Figure 2, r 0Meet design requirement during=53mm, E2 Max=11.96kV/mm slightly gets the wish degree, gets during design r 0=60mm, E2 Max=11.65kV/mm.
Figure 885493DEST_PATH_IMAGE006
(3)
(7) according to the result of calculation that obtains in (5) and (6), in Ansoft Maxwell software, build realistic model 1, as shown in Figure 3.The electric field cloud atlas that simulation calculation obtains as shown in Figure 4.Simulation result shows that high-field electrode surface maximum field strength value is 11.1kV/mm.Guarded electrode circular arc place maximum field strength value is 11.42kV/mm.Calculate electric capacity C CalBe 103.12pF.As shown in Figure 5.
(8) according to (7) result of calculation electric capacity difference △ C=100-103.12=-3.12pF, calculating the low-field electrode height according to following formula needs adjustment amount =-10.9mm gets-11mm.
Figure 716363DEST_PATH_IMAGE009
(4)
(9) calculate in the basis (8)
Figure 197023DEST_PATH_IMAGE008
, in Ansoft Maxwell, again build model 2, the electric field cloud atlas that simulation calculation obtains is as shown in Figure 6.High-field electrode surface maximum field strength value is 11.1kV/mm, and guarded electrode circular arc place maximum field strength value is 11.7kV/mm, and after the adjustment model, this place's field intensity value slightly changes, but still meets design requirement.Electric capacity is 99.986pF.As shown in Figure 7, meet design requirement.So far finish the design of electrode size parameter, the result is r 1=170mm, r 2=207mm, l=339mm.
(10) at present electrode processing material relatively more commonly used has aluminium alloy, fine copper, and stainless steel, and the thermal expansivity of three kinds of materials is respectively 23.8 * 10 -5M/ ℃, 17.5 * 10 -5M/ ℃ and 15 * 10 -5M/ ℃.Calculating corresponding theoretical temperatures coefficient according to (5) is 2.57 * 10 -5/ ℃, 1.89 * 10 -5/ ℃ and 1.6 * 10 -5/ ℃.The theoretical temperatures coefficient of three kinds of material making electrodes all is lower than 3 * 10 -5/ ℃, satisfy standard-required.
Figure 676415DEST_PATH_IMAGE013
(5)
Aluminium alloy, fine copper, and the typical elastic modulus of three kinds of materials of stainless steel is respectively 70GPa, and 127GPa, 199GPa calculates corresponding theoretical voltage coefficient according to (6), wherein because the high-low pressure electrode is commaterial, so E 1= E 2, U=220kV, C is 100pF, calculates corresponding theoretical voltage coefficient and is respectively 1.6 * 10 -6, 1.22 * 10 -6With 1.04 * 10 -6, all less than 3 * 10 of standard-required -5, meet design requirement.
Figure 533512DEST_PATH_IMAGE014
(6)
According to designing requirement, certain voltage coefficient above-mentioned and temperature coefficient are the smaller the better, but consider on the processing technology, and aluminum component is more prone to realize complex-curved processing with respect to stainless steel and copper, and lightweight, cost is low.And its material properties in theory also can meet design requirement, and guarded electrode is not high to material requirements, so electrode material is all selected aluminium alloy.So far finish whole designs of standard capacitor high-low pressure electrode and guarded electrode parameter.The simple process figure of whole method for designing as shown in Figure 8.
The content that is not described in detail in this instructions belongs to the known prior art of this area professional and technical personnel.

Claims (1)

1. the method for designing of a just vertical compressed gas standards electrode for capacitors parameter is characterized in that, may further comprise the steps:
According to the normative document regulation of compressed gas standards capacitor, determine the correlation parameter requirement of capacitor under the different electric pressures, comprise electric capacity C, voltage coefficient
Figure 2012103397470100001DEST_PATH_IMAGE001
, temperature coefficient
Figure 747879DEST_PATH_IMAGE002
According to the service condition requirement, select insulating gas, determine electrode surface maximum field strength permissible value E1 MaxAnd the maximum field intensity that allows in guarded electrode surface E2 Max
Choose the effective corresponding length initial value of high-low pressure electrode l, lValue needs basis r 1, r 2Result of calculation is adjusted, according to ganged condenser electric capacity deformation formula:
Figure 2012103397470100001DEST_PATH_IMAGE003
(1)
Calculate
Figure 711025DEST_PATH_IMAGE004
, wherein r 1, r 2Be respectively the high-low pressure electrode radius;
Will Bring coaxial configuration surface electric field intensity computing formula into:
(2)
Calculate r 1, and then by
Figure 89234DEST_PATH_IMAGE004
r 2, consider the plant bulk outward appearance, determine r 1, r 2Whether the result is reasonable;
Consider processing request, to what try to achieve in the step (4) r 1, r 2Do the number that rounds up and process, corresponding lValue pushes away acquisition by formula (1) is counter;
Low-field electrode end arc radius r 3Owing to being in the guarded electrode, only need to consider to install to get final product, choose correct radial;
The guarded electrode transition arc radius r 0Choose, will E2 MaxValue is brought in the following formula, calculates arc radius r 0:
(3)
Wherein U is the high-field electrode maximum working voltage, dBe guarded electrode end circular arc and high-field electrode spacing, d= r 2- r 1
According to what calculate in the step (5) lValue calculates in (6), (7) r 1, r 2And r 0In Ansoft Maxwell electromagnetic field simulation software, build two dimension with three-dimensional simulation model and relevant parameter is set;
Utilize the distribution of field intensity value and maximum field strength value E1 between Ansoft Maxwell Software simulation calculation high-low pressure electrode MaxAnd E2 MaxWhether less than the reference value in the step (2), extract simultaneously high-low pressure electrode capacitance amount C Cal Calculate and the middle design load of step (1) CDifference
Figure 2012103397470100001DEST_PATH_IMAGE007
, calculate the high-low pressure electrode pair by following formula and answer the length adjustment value
Figure 850702DEST_PATH_IMAGE008
:
Figure 2012103397470100001DEST_PATH_IMAGE009
(4)
According to what calculate in the step (9)
Figure 310546DEST_PATH_IMAGE008
, in Ansoft Maxwell software, readjust, build model, relevant parameter is set, according to parameter designing is finished until whole parameter meets the demands in repeating step (9), (10) as a result;
Expansion coefficient with the Different electrodes material
Figure 509446DEST_PATH_IMAGE010
Bring respectively formula (5) and (6) calculable capacitor theoretical temperatures coefficient into elastic modulus E
Figure 2012103397470100001DEST_PATH_IMAGE011
With the theoretical voltage coefficient
Figure 850428DEST_PATH_IMAGE012
, determine electrode material according to result of calculation,
Figure 2012103397470100001DEST_PATH_IMAGE013
(5)
Wherein T 2, T 1For temperature (℃), a=U/E Max-, d 0Be thickness of electrode;
Figure 296322DEST_PATH_IMAGE014
(6)
Wherein d 1, d 2Be respectively the high-low pressure thickness of electrode, UBe the operating voltage effective value.
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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103207288A (en) * 2013-03-27 2013-07-17 中国计量科学研究院 Solid electric compensation auxiliary electrode and application thereof

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* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN101183121A (en) * 2007-12-17 2008-05-21 国网武汉高压研究院 Extra-high voltage reference capacitor
CN101315834A (en) * 2008-06-23 2008-12-03 南京电气(集团)有限责任公司 Design method of variable capacitor, variable step and capacitor core with segmented equal thickness
CN102590636A (en) * 2012-03-16 2012-07-18 辽宁省电力有限公司沈阳供电公司 Portable double-shielding standard capacitor

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Publication number Priority date Publication date Assignee Title
CN101183121A (en) * 2007-12-17 2008-05-21 国网武汉高压研究院 Extra-high voltage reference capacitor
CN101315834A (en) * 2008-06-23 2008-12-03 南京电气(集团)有限责任公司 Design method of variable capacitor, variable step and capacitor core with segmented equal thickness
CN102590636A (en) * 2012-03-16 2012-07-18 辽宁省电力有限公司沈阳供电公司 Portable double-shielding standard capacitor

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Cited By (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN103207288A (en) * 2013-03-27 2013-07-17 中国计量科学研究院 Solid electric compensation auxiliary electrode and application thereof

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