CN107192889B - A method of mutual inductance between grounded screen and coil is calculated using principle of stacking - Google Patents
A method of mutual inductance between grounded screen and coil is calculated using principle of stacking Download PDFInfo
- Publication number
- CN107192889B CN107192889B CN201710279828.9A CN201710279828A CN107192889B CN 107192889 B CN107192889 B CN 107192889B CN 201710279828 A CN201710279828 A CN 201710279828A CN 107192889 B CN107192889 B CN 107192889B
- Authority
- CN
- China
- Prior art keywords
- coil
- mutual inductance
- plane
- grounded screen
- principle
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Expired - Fee Related
Links
Classifications
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01R—MEASURING ELECTRIC VARIABLES; MEASURING MAGNETIC VARIABLES
- G01R27/00—Arrangements for measuring resistance, reactance, impedance, or electric characteristics derived therefrom
- G01R27/02—Measuring real or complex resistance, reactance, impedance, or other two-pole characteristics derived therefrom, e.g. time constant
- G01R27/26—Measuring inductance or capacitance; Measuring quality factor, e.g. by using the resonance method; Measuring loss factor; Measuring dielectric constants ; Measuring impedance or related variables
Abstract
The invention discloses a kind of method for calculating mutual inductance between grounded screen and coil using principle of stacking, methods are as follows: Step 1: regarding grounded screen as plane grid；Step 2: network plane S will be grounded2It is divided into a big square planar S '2_1With multiple small square planars；Step 3: selection coil l1Shape, it is round or rectangular, determine coil l1Centre coordinate and dimensional parameters；Step 4: by calculating coil l1With plane S '2_jThe magnetic flux of intersecting chain acquires mutual inductance between the twoStep 5: acquiring coil l according to principle of stacking1With ground connection network plane S2Mutual inductanceThe utility model has the advantages that the present invention is calculated for the mutual inductance between grounded screen and coil, regard grounded screen as plane grid, mutual inductance calculating between square shaped plane and circle and square coil has derived general calculation formula, and has derived the formula that mutual inductance calculates between ground connection network plane and coil using principle of stacking.The mutual inductance between arbitrary shape and the grounded screen and coil of scale can be calculated.
Description
Technical field
The present invention relates to a kind of methods of mutual inductance between calculating grounded screen and coil, in particular to a kind of to utilize principle of stacking
The method for calculating mutual inductance between grounded screen and coil.
Background technique
Currently, mutual inductance is one of the basic parameter in Circuit theory, the calculating of mutual inductance is also electrician, electric power, wireless
Frequently problem in power technology.
Electromagnetic exploration is a kind of common geophysical method, mainly includes Electromagnetic wave GPR, transient electromagnetic method
TEM, frequency domain electromagnetic methods FEM.Electromagnetic exploration is widely used in ore exploration, coal mine hydrogeology investigation and work at present
Journey reconnoitres equal fields.Such method is also applied in the breaking point detection of grounded screen in recent years.
Chinese patent CN201410069150.8 discloses a kind of grounded screen breaking point diagnosis method of transient electromagnetic method, the party
Method application transient electromagnetic detection device is detected in grounded screen overhead surface, is carried out to the induced voltage data that measurement obtains anti-
It drills to obtain apparent resistivity section diagram, the breakpoint situation of grounded screen is judged with this.
Chinese patent CN201510418318.6 discloses a kind of grounded screen breakpoint based on transient electromagnetic exception ring principle
Grounded screen is considered as abnormal coil by diagnostic method, this method, according to position to be detected, measured zone is determined, using Genter loop
Device is detected, directly by judging that induced voltage form judges breakpoint location.
Chinese patent CN201510581347.4 discloses a kind of grounded screen fault based on frequency domain electromagnetic methods and examines automatically
Disconnected method, this method mainly according to electromagnetic anomaly ring principle and nerve network system, regard grounded screen grid as underground horizontal
The abnormal ring of placement calculates the response of grounded screen, the instruction as neural network breaking point diagnosis according to electromagnetic anomaly ring principle
Practice sample, and the response for acquiring each measuring point by frequency domain electromagnetic equipment carries out the breaking point diagnosis of grounded screen as test sample.
Approach described above is all that the breakpoint situation of grounded screen is detected using transient electromagnetic method and frequency domain electromagnetic methods, for
The theory analysis of electromagnetic exploration grounded screen needs to calculate the mutual inductance between grounded screen and coil, and grounded screen is considered as flat by the present invention
Surface grids, closer to grounded screen actual conditions, for the grounded screen of arbitrary shape, scale can be calculated grounded screen with
Mutual inductance between coil.
Summary of the invention
It is provided the purpose of the invention is to the mutual inductance being calculated between the grounded screen of arbitrary shape, scale and coil
A kind of method for calculating mutual inductance between grounded screen and coil using principle of stacking.
The method provided by the invention for calculating mutual inductance between grounded screen and coil using principle of stacking, the following institute of method
It states:
Step 1: regarding grounded screen as plane grid；
Step 2: network plane S will be grounded2It is divided into a big square planar S '2_1With multiple small square planar S '2_j
(j=2,3,4 ... m), meetsAnd obtain each square planar S '2_jCentre coordinate and dimensional parameters；
Step 3: selection coil l1Shape, it is round or rectangular, determine coil l1Centre coordinate and dimensional parameters；
Step 4: by calculating coil l1With plane S '2_jThe magnetic flux of intersecting chain acquires mutual inductance between the two
Step 5: acquiring coil l according to principle of stacking1With ground connection network plane S2Mutual inductance
In step 4, as coil l1When for circle, radius r1, the number of turns N1Circle, centre coordinate are (Tx1,Ty1,Tz1),
Plane S '2_jSide length is 2a × 2b, and centre coordinate is (Tx2,Ty2,Tz2), l1With S '2_jMutual inductance when parallel between the twoSuch as
Following formula:
Wherein,
In step 4, as coil l1When being rectangular, side length is 2c × 2d, the number of turns N1Circle, centre coordinate are (Tx1,Ty1,Tz1),
Plane S '2_jSide length is 2a × 2b, and centre coordinate is (Tx2,Ty2,Tz2), l1With S '2_jMutual inductance when parallel between the twoIt is as follows
Formula:
Wherein,
In step 5, from coil l1(the number of turns N1, electric current I1) and ground connection network plane S2Between intersecting chain mutual inductance magnetic linkage
It sets out, l1With S2The mutual inductance magnetic linkage of intersecting chainTo derive l1With S2Between mutual inductanceSuch as following formula:
Beneficial effects of the present invention:
The present invention is calculated for the mutual inductance between grounded screen and coil, regards grounded screen as plane grid, square shaped is flat
Mutual inductance calculating between face and circle and square coil has derived general calculation formula, and has been derived and connect using principle of stacking
The formula that mutual inductance calculates between ground network plane and coil.It can calculate mutual between arbitrary shape and the grounded screen and coil of scale
Sense.
Detailed description of the invention
Fig. 1 is the method for the invention flow diagram.
Fig. 2 is coil of the present invention and grounded screen plan positional relationship schematic diagram.
Fig. 3 is circular coil of the present invention and square planar positional diagram.
Fig. 4 is square coil of the present invention and square planar positional diagram.
Fig. 5 is one embodiment of the invention grounded screen floor map.
Fig. 6 is one embodiment of the invention mutual inductance calculated result figure.
Specific embodiment
It please refers to shown in Fig. 1, Fig. 2, Fig. 3, Fig. 4, Fig. 5 and Fig. 6:
In order to make the objectives, technical solutions, and advantages of the present invention clearer, with reference to embodiments, to the present invention
It is further elaborated.
Embodiment
As shown in connection with fig. 2 referring to Fig. 1, a method of calculating mutual inductance between grounded screen and coil, packet using principle of stacking
It includes:
Step 1: as shown in Figure 2, regarding grounded screen as plane grid；
Step 2: network plane S will be grounded2It is divided into multiple facet S '2_j(j=1,2,3 ... m), obtains each plane
S′2_jCentre coordinate and dimensional parameters；
Plane S2For ground connection network plane (centre coordinate is (0m, 0m, 0m)) as shown in Figure 5, small grid side length is 5m, is connect
Earth mat conductor frame is 0.04m, can be by plane S2It is divided into 5 planes (big plane S ' of outermost2_1It is four small with centre
Plane S '2_2、S′2_3、S′2_4、S′2_5), meetAnd obtain each square planar S '2_jCenter sit
Mark and dimensional parameters；
Step 3: coil l1Shape be circle, coil l1Radius be 0.5m, the number of turns be 1 circle, centre coordinate be (Tx1,
Ty1, 0.6m), coil moves above grounded screen, Tx1、Ty1Moving range be -5m to+5m, mobile interval 1m, i.e., totally 11
Bar survey line, the interval 1m between two surveys line, the interval on a survey line between two measuring points is also 1m；
Step 4: calculating coil l1Middle electric current I1The magnetic vector potential generated at any point (x, y, z)By calculating coil
l1With square planar S '2_jThe magnetic flux of intersecting chain acquires mutual inductance between the two
As shown in figure 3, working as coil l1(radius r when for circle1, the number of turns N1Circle, centre coordinate are (Tx1,Ty1,
Tz1)), coil l1Middle electric current I1The magnetic vector potential generated at any pointSuch as following formula, l1With S '2_jBetween the two mutual when parallel
SenseSuch as following formula:
Wherein,
dl1With dS '2_jRespectively coil l1With plane S '2_jIntegral member,It is respectively dl with θ1With dS '2_jWith the angle of x-axis, ρ is
Radially integration variable.
Step 5: acquiring coil l according to principle of stacking1With ground connection network plane S2Mutual inductance
Network plane is grounded as shown in figure 5, from coil l1(the number of turns N1, electric current I1) and plane S2Between intersecting chain it is mutual
Sense magnetic linkage sets out, l1With S2The mutual inductance magnetic linkage of intersecting chain can be converted into l1With S '2_1The mutual inductance magnetic linkage of intersecting chain subtracts l1With
S′2_jThe sum of the mutual inductance magnetic linkage of (j=2,3,4,5) intersecting chain, so obtaining l according to principle of stacking1With S2Between mutual inductance
For
Fig. 6 is the mutual inductance calculated result of one embodiment of the invention (as shown in Figure 5).
Claims (2)
1. a kind of method for calculating mutual inductance between grounded screen and coil using principle of stacking, it is characterised in that: the following institute of its method
It states:
Step 1: regarding grounded screen as plane grid；
Step 2: network plane S will be grounded2It is divided into a big square planar S '2_1With multiple small square planar S '2_j(j=
2,3,4 ... m), meetsAnd obtain each square planar S '2_jCentre coordinate and dimensional parameters；
Step 3: selection coil l1Shape, it is round or rectangular, determine coil l1Centre coordinate and dimensional parameters；
Step 4: by calculating coil l1With plane S '2_jThe magnetic flux of intersecting chain acquires mutual inductance between the twoWork as coil
l1When for circle, radius r1, the number of turns N1Circle, centre coordinate are (Tx1,Ty1,Tz1), plane S '2_jSide length is 2a × 2b, in
Heart coordinate is (Tx2,Ty2,Tz2), l1With S '2_jMutual inductance when parallel between the twoSuch as following formula:
Wherein,
Step 5: acquiring coil l according to principle of stacking1With ground connection network plane S2Mutual inductance
2. a kind of method for calculating mutual inductance between grounded screen and coil using principle of stacking according to claim 1, special
Sign is: in step 4, as coil l1When being rectangular, side length is 2c × 2d, the number of turns N1Circle, centre coordinate are (Tx1,Ty1,
Tz1), plane S '2_jSide length is 2a × 2b, and centre coordinate is (Tx2,Ty2,Tz2), l1With S '2_jMutual inductance when parallel between the twoSuch as following formula:
Wherein,
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201710279828.9A CN107192889B (en) | 2017-04-26 | 2017-04-26 | A method of mutual inductance between grounded screen and coil is calculated using principle of stacking |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201710279828.9A CN107192889B (en) | 2017-04-26 | 2017-04-26 | A method of mutual inductance between grounded screen and coil is calculated using principle of stacking |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN107192889A CN107192889A (en) | 2017-09-22 |
| CN107192889B true CN107192889B (en) | 2019-04-23 |
Family
ID=59873352
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201710279828.9A Expired - Fee Related CN107192889B (en) | 2017-04-26 | 2017-04-26 | A method of mutual inductance between grounded screen and coil is calculated using principle of stacking |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN107192889B (en) |
Families Citing this family (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN109085459B (en) * | 2018-06-01 | 2019-10-11 | 吉林大学 | A kind of grounded screen Transient electromagnetic response calculation method |
| CN109061379B (en) * | 2018-06-01 | 2020-01-24 | 吉林大学 | Grounding grid topological structure based on induction voltage differential method and breakpoint identification method |
| CN111523256B (en) * | 2020-07-06 | 2020-10-20 | 南京航空航天大学 | Mutual inductance calculation method of coaxial multi-coil related to non-ferromagnetic metal medium |
Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103792461A (en) * | 2013-11-21 | 2014-05-14 | 国家电网公司 | Grounding grid breakpoint diagnostic method for transient electromagnetic method |
| CN105137279A (en) * | 2015-07-16 | 2015-12-09 | 吉林大学 | Grounding grid breakpoint diagnostic method based on transient electromagnetic abnormal ring principle |
-
2017
- 2017-04-26 CN CN201710279828.9A patent/CN107192889B/en not_active Expired - Fee Related
Patent Citations (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN103792461A (en) * | 2013-11-21 | 2014-05-14 | 国家电网公司 | Grounding grid breakpoint diagnostic method for transient electromagnetic method |
| CN105137279A (en) * | 2015-07-16 | 2015-12-09 | 吉林大学 | Grounding grid breakpoint diagnostic method based on transient electromagnetic abnormal ring principle |
Non-Patent Citations (3)
| Title |
|---|
| 基于动态混沌粒子群的接地网腐蚀分块诊断方法;李天宇等;《电力系统保护与控制》;20111216;第39卷(第24期);第0、3节 |
| 接地网接地电阻的计算机仿真;黄海鹏;《广东输电与变电技术》;20030615;第1-5页 |
| 接地网断电的磁性源诊断方法研究;袁源明;《中国优秀硕士学位论文全文数据库 工程科技Ⅱ辑》;20160715;第3章节 |
Also Published As
| Publication number | Publication date |
|---|---|
| CN107192889A (en) | 2017-09-22 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN107192889B (en) | A method of mutual inductance between grounded screen and coil is calculated using principle of stacking | |
| CN106324687B (en) | A kind of buried irony pipeline detection and accurate positioning method | |
| US20230333276A1 (en) | Method and system for exploring hidden karst pipelines | |
| CN104897995B (en) | Grounding net of transformer substation corrosion detection system and method based on surface potential | |
| CN106646142A (en) | Grounding grid broken point diagnosis method and transient electromagnetic detection device | |
| CN102621582A (en) | Method for detecting positions of underground metal pipelines by aid of space vector method and device | |
| CN105137279A (en) | Grounding grid breakpoint diagnostic method based on transient electromagnetic abnormal ring principle | |
| CN108387938B (en) | A kind of grounded screen downlead connection direction analysis method based on magnetic field method | |
| CN106104306A (en) | The detection method of buried metal and detection device | |
| CN110187395A (en) | A kind of Zero flux shallow transient electromagnetic test coil and its test method | |
| KR20110058313A (en) | Three-dimension electromagnetic induction surveying equipment for surveying of underground facilities | |
| WO2017161630A1 (en) | Small-region lightning monitoring and positioning method and system | |
| CN106646624A (en) | Asymmetric electrical method-based sounding method | |
| CN108873073B (en) | A kind of across hole resistivity tomography method of three-dimensional based on electrical method of network concurrency | |
| CN105548923A (en) | Two-dimensional high-frequency rotation magnetic property sensing device | |
| CN109165441A (en) | The emulated computation method of parallel transmission line of alternation current induced voltage and electric current based on ATP-EMTP | |
| Yan et al. | Mathematical modeling and measurement of electric fields of electrode-based through-the-earth (TTE) communication | |
| CN106772620B (en) | Cross three-dimensional electrical prospecting method | |
| CN103499838B (en) | The Transient electromagnetic measure device of anomalous body orientation recognition and recognition methods thereof | |
| CN104749643B (en) | A kind of CSAMT measurement method and device for electromagnetic interference area | |
| CN210376520U (en) | Multi-frequency scanning tower grounding resistance measuring device | |
| CN102841266A (en) | Vertical geoelectric field instrument and observation method thereof | |
| CN205139386U (en) | Time frequently aerial collection system of electromagnetic survey data and system | |
| CN110749777A (en) | Soil resistivity measuring method | |
| Bagrianski et al. | AFMAG evolution–expanding limits |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| PB01 | Publication | ||
| PB01 | Publication | ||
| SE01 | Entry into force of request for substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant | ||
| CF01 | Termination of patent right due to non-payment of annual fee | ||
| CF01 | Termination of patent right due to non-payment of annual fee |
Granted publication date: 20190423 |