CN103762057A - Hollow reactor model simplifying method - Google Patents
Hollow reactor model simplifying method Download PDFInfo
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- CN103762057A CN103762057A CN201410010535.7A CN201410010535A CN103762057A CN 103762057 A CN103762057 A CN 103762057A CN 201410010535 A CN201410010535 A CN 201410010535A CN 103762057 A CN103762057 A CN 103762057A
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Abstract
The invention discloses a hollow reactor model simplifying method. The method includes the following steps: taking a wound coil as an original model of a hollow reactor and a plurality of circular-ring-shaped current-carrying conductors as a simplifying model; utilizing a magnetic field measuring instrument to measure a radial magnetic field and an axial magnetic field corresponding to the original model of the hollow reactor; utilizing the magnetic field measuring instrument to measure a radial magnetic field and an axial magnetic field corresponding to the simplifying model; selecting an optimal simplifying model closest to magnetic field distribution of the original model of the hollow reactor by comparing the radial magnetic field and the axial magnetic field corresponding to the original model with the radial magnetic field and the axial magnetic field corresponding to the simplifying model. On the basis that similar simulation of space magnetic field distribution of the original model can be ensured, the simplifying model is adopted to replace the complex original model, so that building and making processes of a hollow reactor model can be obviously simplified.
Description
Technical field
The present invention relates to a kind of air core reactor Model Simplification Method.
Background technology
Along with the increase of China's power consumption, electrical network develops rapidly, and the advantage such as air core reactor is evenly distributed because having starting voltage, the linearity is good, loss is little and noise is low, obtains increasingly extensive application in fields such as reactive power compensation, failure current limits.But, air core reactor does not have closed ferromagnetic circuit, when operation, not only can around it, produce strong power frequency space magnetic field, and to transformer station's safe and stable operation formation complex effects of electric equipment around, therefore become the main source of transformer station's electromagnetic pollution.In addition also may there is potential health threat to staff and periphery resident in the space magnetic field of air core reactor.In recent years, along with the development of intelligent substation and the enhancing of people's environmental consciousness, the magnetic field of large hollow reactor is predicted and the magnetic pollution problem of surrounding enviroment is more and more received publicity, the research of air core reactor space magnetic field distribution character is also seemed to further urgent.
For the distribution problem of air core reactor space magnetic field, carried out large quantity research both at home and abroad, can mainly be divided into following three classes.The first kind is Analytic Calculation, according to Biot-Sha, cuts down Er Dinglv, first calculates near the magnetic field of single-turn circular coil, then by principle of stacking, obtains the Distribution of Magnetic Field of air core reactor.Equations of The Second Kind is numerical method, and these class methods, from Maxwell equation, are derived the simplification mathematical formulae of differential or integrated form, then by emulation modes such as Finite Element, solve.Above two kinds of methods all need to obtain in advance the detailed construction parameter of air core reactor, and the result of calculation accuracy of current large-scale reactor still has much room for improvement.The 3rd class is experimental method, can be subdivided into in-site measurement method and contracting than two kinds of experimental methods.In-site measurement method can record reactor Distribution of Magnetic Field around more accurately, intuitively, but must drop into larger man power and material, and cannot before construction completes, measure.Contracting refers to Large Magnetic field source is dwindled by a certain percentage than experimental method, the physical quantitys such as while electric current, voltage, frequency are dwindled respectively or amplify than criterion according to contracting, by measuring scale model magnetic field around, to reach the object of the former Large Magnetic field source space magnetic field distribution situation of prediction.
No matter adopt above-mentioned which kind of method to carry out measurement and the assessment of air core reactor space magnetic field, all will face air core reactor Mathematical Modeling or actual experiment model is more complicated, the analogue formation time is grown problem.The new method that must seek to simplify air core reactor model process of establishing for this reason and shorten the modeling time.
Summary of the invention
The deficiency existing for solving prior art, the invention discloses a kind of air core reactor Model Simplification Method, and the master mould of the method based on air core reactor proposes the simplified model using some annular current－carrying conductors as air core reactor.Adopt this simplified model, can obviously simplify air core reactor model process of establishing, shorten the modeling time.
For achieving the above object, concrete scheme of the present invention is as follows:
A kind of air core reactor Model Simplification Method, comprises the following steps:
Step 1: first coiling as the master mould of air core reactor and some annular current－carrying conductors as simplified model;
Step 2: utilize magnetic field measuring apparatus to measure corresponding radial magnetic field and the axial magnetic field of master mould of air core reactor;
Step 3: the current density of annular current－carrying conductor corresponding to simplified model that guarantee to flow through is identical with the master mould of air core reactor, utilizes magnetic field measuring apparatus to measure corresponding radial magnetic field and the axial magnetic field of simplified model;
Step 4: by comparing corresponding radial magnetic field and axial magnetic field radial magnetic field and the axial magnetic field corresponding with simplified model of master mould, and select to approach most the optimal reduced model of air core reactor master mould Distribution of Magnetic Field.
In described step 1, the master mould length of air core reactor is l=134mm, and diameter is D=138mm, and the number of turn is N=120, and background magnetic field is 0.03 μ T, and the electric current of the model of flowing through is 0.03A, and frequency is 50Hz.
In described step 1, simplified model comprises unicoil simplified model, twin coil simplified model and three-winding simplified model.
In described step 2, while measuring the radial magnetic field of master mould of air core reactor, it is highly 67mm place, the i.e. height of model center that magnetic field measuring apparatus is placed on.
Described unicoil simplified model concentrates on all circles in an annular current－carrying conductor, annular current－carrying conductor diameter is identical with master mould, the number of turn is 1/3 of the master mould number of turn, the size of current that passes into annular current－carrying conductor is master mould 3 times, power frequency is identical with master mould, identical with master mould with the current density of the annular current－carrying conductor that guarantees to flow through.The master mould of air core reactor is called for short master mould.
Described twin coil simplified model is used two annular current－carrying conductors to replace master mould, wherein each annular current－carrying conductor diameter is identical with master mould, the number of turn is 1/3 of the master mould number of turn, the size of current that passes into annular current－carrying conductor is master mould 3/2 times, power frequency is identical with master mould, identical with master mould with the current density of the annular current－carrying conductor that guarantees to flow through.
According to the spacing distance difference of two annular current－carrying conductors, twin coil simplified model comprises two kinds of structures, and in structure one, two annular current－carrying conductor distance model tops are respectively 1/3l and 2/3l; In structure two, two annular current－carrying conductor distance model tops are respectively 1/4l and 3/4l.
Described three-winding simplified model is used three annular current－carrying conductors to replace master mould, wherein each annular current－carrying conductor diameter is identical with master mould, the number of turn is 1/3 of the master mould number of turn, the size of current that passes into annular current－carrying conductor is identical with master mould with frequency, identical with master mould with the current density of the annular current－carrying conductor that guarantees to flow through.
According to the interval difference of three annular current－carrying conductors, three-winding simplified model comprises three kinds of structures, and in structure one, three annular current－carrying conductors lay respectively at the top of model, highly central authorities and bottom; In structure two, three annular current－carrying conductor distance model tops are respectively 1/4l, 1/2l and 3/4l; In structure three, three annular current－carrying conductor distance model tops are respectively 1/8l, 1/2l and 7/8l.
The master mould of described air core reactor or its simplified model are connected with AC power and ammeter, the probe of magnetic field measuring apparatus can place to measure the magnetic flux density of diverse location flexibly, in experiment, the wire that connects each device is wound around mutually, to offset the magnetic field itself producing, thereby reduce measure error.
Described unicoil simplified model, for the current density of annular current－carrying conductor of guaranteeing to flow through is identical with master mould, passes into the electric current of 0.09A, 50Hz in experiment.
When the radial magnetic field that described measurement unicoil simplified model is corresponding and axial magnetic field, while measuring radial magnetic field, magnetic field measuring apparatus is identical with unicoil simplified model height.
Described twin coil simplified model, for the current density of annular current－carrying conductor of guaranteeing to flow through is identical with master mould, passes into the electric current of 0.045A, 50Hz in experiment.
When the radial magnetic field that described measurement twin coil simplified model is corresponding and axial magnetic field, while measuring radial magnetic field, magnetic field measuring apparatus is positioned over two annular current－carrying conductor centre positions.
Described three-winding simplified model, for the current density of annular current－carrying conductor of guaranteeing to flow through is identical with master mould, passes into the electric current of 0.03A, 50Hz in experiment.
When the radial magnetic field that described measurement three-winding simplified model is corresponding and axial magnetic field, while measuring radial magnetic field, magnetic field measuring apparatus is positioned over and the level position of middle circle annular current－carrying conductor.
The master mould of described air core reactor and while measuring radial magnetic field corresponding to simplified model, measurement point is designated as r to the vertical range of central shaft, due to the restriction of magnetic field measuring apparatus size, minimum measuring distance is distance center axle r=85mm, while measuring axial magnetic field, magnetic field measuring apparatus is placed on model center axle place, apart from the height of axial centre, is designated as h.
Beneficial effect of the present invention:
The invention has the advantages that, guaranteeing on the basis of approximate simulation master mould space magnetic field distribution, adopt simplified model to replace complicated master mould, can obviously simplify foundation and the manufacturing process of air core reactor model, greatly shorten design and R&D cycle, aspect the prediction of air core reactor space magnetic field, there is important technological value and potential economic benefit.
Accompanying drawing explanation
Fig. 1 is unicoil simplified model structure;
Fig. 2 twin coil simplified model structure one;
Fig. 3 twin coil simplified model structure two;
Fig. 4 three-winding simplified model structure one;
Fig. 5 three-winding simplified model structure two;
Fig. 6 three-winding simplified model structure three;
Fig. 7 master mould and simplified model be magnetic flux density schematic diagram radially;
Fig. 8 master mould and simplified model axial magnetic induction schematic diagram.
Embodiment:
Below in conjunction with accompanying drawing, the present invention is described in detail:
A kind of air core reactor Model Simplification Method, comprises the following steps:
Step 1: first coiling as the master mould of air core reactor and some annular current－carrying conductors as simplified model;
Step 2: utilize magnetic field measuring apparatus to measure corresponding radial magnetic field and the axial magnetic field of master mould of air core reactor;
Step 3: the current density of annular current－carrying conductor corresponding to simplified model that guarantee to flow through is identical with the master mould of air core reactor, utilizes magnetic field measuring apparatus to measure corresponding radial magnetic field and the axial magnetic field of simplified model;
Step 4: by comparing corresponding radial magnetic field and axial magnetic field radial magnetic field and the axial magnetic field corresponding with simplified model of master mould, and select to approach most the optimal reduced model of air core reactor master mould Distribution of Magnetic Field.
The present invention has set up the master mould of air core reactor in laboratory, and some annular current－carrying conductors are as simplified model, measure near its radial and axial space magnetic field and distribute, relatively also select to approach most the optimal reduced model of air core reactor master mould Distribution of Magnetic Field.
In the space magnetic field experiments of measuring of master mould and simplified model, suppose that system power supply and equipment are ideal situation and are operated under quasistatic frequency, ignore internal resistance.Air core reactor master mould or its simplified model are connected with AC power and ammeter, and the probe of magnetic field measuring apparatus can place to measure the magnetic flux density of diverse location flexibly.In experiment, the wire that connects each device is wound around mutually, to offset the magnetic field itself producing, thereby reduces measure error.
Air core reactor master mould magnetic-field measurement: first coiling is as the master mould of air core reactor, and the length of this model is l=134mm, and diameter is D=138mm, and the number of turn is N=120.Background magnetic field is 0.03 μ T, and the electric current of the model of flowing through is 0.03A, and frequency is 50Hz.
While measuring radial magnetic field, it is highly 67mm place that magnetic field measuring apparatus is placed on, i.e. the height of model center, and measurement point is designated as r to the vertical range of central shaft, and due to the restriction of magnetic field measuring apparatus size, minimum measuring distance is distance center axle r=85mm.While measuring axial magnetic field, magnetic field measuring apparatus is placed on model center axle place, apart from the height of axial centre, is designated as h.
Embodiment 1: air core reactor unicoil simplified model magnetic-field measurement
As shown in Figure 1, for the simplified model of air core reactor, first we concentrate on all circles in model in an annular current－carrying conductor, is called monocycle simplified model.The present invention is easy for modelling, the annular current－carrying conductor that number of turn of coiling is 40, and its diameter is identical with master mould.For the current density of annular current－carrying conductor of guaranteeing to flow through is identical with master mould, in experiment, pass into the electric current of 0.09A, 50Hz.
While measuring radial magnetic field, magnetic field measuring apparatus is identical with monocycle simplified model height, and measurement point is designated as r to the vertical range of central shaft, and due to the restriction of magnetic field measuring apparatus size, minimum measuring distance is distance center axle r=85mm.While measuring axial magnetic field, magnetic field measuring apparatus is placed on model center axle place, apart from the height of axial centre, is designated as h.
Embodiment 2: air core reactor dicyclo simplified model magnetic-field measurement
The second simplified model is to use two annular current－carrying conductors to replace master mould, is called dicyclo simplified model.Each annular current－carrying conductor number of turn of institute of the present invention coiling is 40, and its diameter is identical with master mould.For the current density of annular current－carrying conductor of guaranteeing to flow through is identical with master mould, in experiment, pass into the electric current of 0.045A, 50Hz.
According to the spacing distance difference of two annular current－carrying conductors, the present invention studies two kinds of structures shown in Fig. 2.As shown in Figure 2, two annular current－carrying conductor distance model tops are respectively 1/3l and 2/3l; As shown in Figure 3, two annular current－carrying conductor distance model tops are respectively 1/4l and 3/4l.
While measuring radial magnetic field, magnetic field measuring apparatus is positioned over two annular current－carrying conductor centre positions, and measurement point is designated as r to the vertical range of central shaft, and due to the restriction of magnetic field measuring apparatus size, minimum measuring distance is distance center axle r=85mm.While measuring axial magnetic field, magnetic field measuring apparatus is placed on model center axle place, apart from the height of axial centre, is designated as h.
Embodiment 3: air core reactor three encircles simplified model magnetic-field measurement
The third simplified model is to use three annular current－carrying conductors to replace master mould, is called three ring simplified models.Each annular current－carrying conductor number of turn of institute of the present invention coiling is 40, and its diameter is identical with master mould.For the current density of annular current－carrying conductor of guaranteeing to flow through is identical with master mould, in experiment, pass into the electric current of 0.03A, 50Hz.
According to the interval difference of three annular current－carrying conductors, the present invention studies three kinds of structures shown in Fig. 3.As shown in Figure 4,, three annular current－carrying conductors lay respectively at the top of model, highly central authorities and bottom; As shown in Figure 5, three annular current－carrying conductor distance model tops are respectively 1/4l, 1/2l and 3/4l; As shown in Figure 6, three annular current－carrying conductor distance model tops are respectively 1/8l, 1/2l and 7/8l.
While measuring radial magnetic field, magnetic field measuring apparatus is positioned over and the level position of middle circle annular current－carrying conductor, and measurement point is designated as r to the vertical range of central shaft, and due to the restriction of magnetic field measuring apparatus size, minimum measuring distance is distance center axle r=85mm.While measuring axial magnetic field, magnetic field measuring apparatus is placed on model center axle place, apart from the height of axial centre, is designated as h.
Simplified model measurement result is analyzed: according to measurement result, can draw the curve that the radial and axial magnetic flux density of master mould and simplified model changes with measuring distance, as shown in FIG. 7 and 8.Known, the simplified model of above-mentioned six kinds of structures all can approximate simulation master mould radially and axial magnetic field, but within the scope of distance center 200mm, the measured resultant error of simplified model is larger, its reason is mainly that measuring instrument probe size is large.Outside apart from 200mm scope, simplified model energy simulate master mould.
Consider the easy degree of analogue formation and the accuracy of model, the optimal models using dicyclo simplified model structure 1 in six kinds of structures.Utilize this simplified model, can easy, promptly simulate near the Distribution of Magnetic Field of air core reactor, radial measurement result is more accurate outward in 1.5 times of distances of model diameter, and axially measurement result is more accurate outward in 1.5 times of distances of model length.The diameter of Practical Project hollow core reactor and be highly 1～2m, and the public's scope of activities is generally greater than 1.5 times of air core reactor diameter, therefore simplified model has important practical significance when prediction air core reactor Distribution of Magnetic Field.
Although foregoing has been set forth the specific embodiment of the present invention by reference to the accompanying drawings, not limiting the scope of the invention.On the basis of technical solution of the present invention, do not pay creative work and the various modifications made or distortion still in protection scope of the present invention.
Claims (10)
1. an air core reactor Model Simplification Method, is characterized in that, comprises the following steps:
Step 1: first coiling as the master mould of air core reactor and some annular current－carrying conductors as simplified model;
Step 2: utilize magnetic field measuring apparatus to measure corresponding radial magnetic field and the axial magnetic field of master mould of air core reactor;
Step 3: the current density of annular current－carrying conductor corresponding to simplified model that guarantee to flow through is identical with the master mould of air core reactor, utilizes magnetic field measuring apparatus to measure corresponding radial magnetic field and the axial magnetic field of simplified model;
Step 4: by comparing corresponding radial magnetic field and axial magnetic field radial magnetic field and the axial magnetic field corresponding with simplified model of master mould, and select to approach most the optimal reduced model of air core reactor master mould Distribution of Magnetic Field.
2. a kind of air core reactor Model Simplification Method as claimed in claim 1, is characterized in that, in described step 1, the master mould length of air core reactor is l=134mm, and diameter is D=138mm, and the number of turn is N=120, background magnetic field is 0.03 μ T, and the electric current of the model of flowing through is 0.03A, and frequency is 50Hz.
3. a kind of air core reactor Model Simplification Method as claimed in claim 1, is characterized in that, in described step 1, simplified model comprises unicoil simplified model, twin coil simplified model and three-winding simplified model.
4. a kind of air core reactor Model Simplification Method as claimed in claim 1, is characterized in that, in described step 2, while measuring the radial magnetic field of master mould of air core reactor, it is highly 67mm place, the i.e. height of model center that magnetic field measuring apparatus is placed on.
5. a kind of air core reactor Model Simplification Method as claimed in claim 3, it is characterized in that, described unicoil simplified model concentrates on all circles in an annular current－carrying conductor, annular current－carrying conductor diameter is identical with master mould, the number of turn is 1/3 of the master mould number of turn, the size of current that passes into annular current－carrying conductor is master mould 3 times, power frequency is identical with master mould, identical with master mould with the current density of the annular current－carrying conductor that guarantees to flow through.
6. a kind of air core reactor Model Simplification Method as claimed in claim 3, it is characterized in that, described twin coil simplified model is used two annular current－carrying conductors to replace master mould, wherein each annular current－carrying conductor diameter is identical with master mould, the number of turn is 1/3 of the master mould number of turn, the size of current that passes into annular current－carrying conductor is master mould 3/2 times, power frequency is identical with master mould, identical with master mould with the current density of the annular current－carrying conductor that guarantees to flow through.
7. a kind of air core reactor Model Simplification Method as claimed in claim 3, it is characterized in that, described three-winding simplified model is used three annular current－carrying conductors to replace master mould, wherein each annular current－carrying conductor diameter is identical with master mould, the number of turn is 1/3 of the master mould number of turn, the size of current that passes into annular current－carrying conductor is identical with master mould with frequency, identical with master mould with the current density of the annular current－carrying conductor that guarantees to flow through.
8. a kind of air core reactor Model Simplification Method as claimed in claim 1, it is characterized in that, the master mould of described air core reactor or its simplified model are connected with AC power and ammeter, the probe of magnetic field measuring apparatus can place to measure the magnetic flux density of diverse location flexibly, in experiment, the wire that connects each device is wound around mutually, to offset the magnetic field itself producing, thereby reduces measure error.
9. a kind of air core reactor Model Simplification Method as claimed in claim 3, is characterized in that, described unicoil simplified model, for the current density of annular current－carrying conductor of guaranteeing to flow through is identical with master mould, passes into the electric current of 0.09A, 50Hz in experiment;
Described twin coil simplified model, for the current density of annular current－carrying conductor of guaranteeing to flow through is identical with master mould, passes into the electric current of 0.045A, 50Hz in experiment;
Described three-winding simplified model, for the current density of annular current－carrying conductor of guaranteeing to flow through is identical with master mould, passes into the electric current of 0.03A, 50Hz in experiment.
10. a kind of air core reactor Model Simplification Method as claimed in claim 1, it is characterized in that, the master mould of described air core reactor and while measuring radial magnetic field corresponding to simplified model, measurement point is designated as r to the vertical range of central shaft, due to the restriction of magnetic field measuring apparatus size, minimum measuring distance is distance center axle r=85mm, while measuring axial magnetic field, magnetic field measuring apparatus is placed on model center axle place, apart from the height of axial centre, is designated as h.
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Cited By (3)
| Publication number | Priority date | Publication date | Assignee | Title |
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| CN107783064A (en) * | 2017-09-28 | 2018-03-09 | 国家电网公司 | A kind of Multihollow reactor coupled magnetic field Forecasting Methodology based on small scale test method |
| CN109584689A (en) * | 2017-09-28 | 2019-04-05 | 国家电网公司 | A kind of simplified model optimization method based on air reactor small scale test |
| CN112380751A (en) * | 2020-11-20 | 2021-02-19 | 三峡大学 | Design method of reactor sound insulation device and rain-proof cap |
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| CN103472415A (en) * | 2013-09-18 | 2013-12-25 | 国家电网公司 | Method for conducting compression ratio experiment of space magnetic field of air reactors |
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| CN103472415A (en) * | 2013-09-18 | 2013-12-25 | 国家电网公司 | Method for conducting compression ratio experiment of space magnetic field of air reactors |
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Cited By (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN107783064A (en) * | 2017-09-28 | 2018-03-09 | 国家电网公司 | A kind of Multihollow reactor coupled magnetic field Forecasting Methodology based on small scale test method |
| CN109584689A (en) * | 2017-09-28 | 2019-04-05 | 国家电网公司 | A kind of simplified model optimization method based on air reactor small scale test |
| CN112380751A (en) * | 2020-11-20 | 2021-02-19 | 三峡大学 | Design method of reactor sound insulation device and rain-proof cap |
| CN112380751B (en) * | 2020-11-20 | 2022-11-08 | 三峡大学 | Design method of reactor sound insulation device and rain-proof cap |
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Inventor after: Hu Xiaoli Inventor after: Sun Fuchun Inventor after: Duan Yubing Inventor after: Yong Jun Inventor after: Liu Rong Inventor after: Meng Hailei Inventor after: Liu Hui Inventor after: Zhang Hao Inventor after: Wang Bin Inventor after: Zheng Jian Inventor before: Hu Xiaoli Inventor before: Duan Yubing Inventor before: Yong Jun Inventor before: Liu Rong Inventor before: Meng Hailei |
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Free format text: CORRECT: INVENTOR; FROM: HU XIAOLI DUAN YUBING YONG JUN LIU RONG MENG HAILEI TO: HU XIAOLI DUAN YUBING YONG JUN LIU RONG MENG HAILEI LIU HUI ZHANG HAO WANG BIN ZHENG JIAN SUN FUCHUN |
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Application publication date: 20140430 |