CN110083975A - A kind of Analytic modeling method of cylindrical shape Low-Frequency Mechanical antenna - Google Patents
A kind of Analytic modeling method of cylindrical shape Low-Frequency Mechanical antenna Download PDFInfo
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Abstract
The present invention relates to LF communication technical field, a kind of Analytic modeling method being generated magnetic field based on flexible electret cylindrical shape Low-Frequency Mechanical antenna is provided, includes the following steps: S1: being analyzed and simplifies the cylinder-shaped structure for rotating flexible electret-type machinery antenna；S2: the cylinder-shaped analytic modell analytical model for rotating flexible electret-type machinery antenna two-dimensional cross sectional generation magnetic field is established according to simplified structure and required formula；S3: the established cylinder-shaped three-dimensional cylinder-shaped analytic modell analytical model for rotating flexible electret-type machinery antenna and generating magnetic field of two-dimensional cross sectional model foundation for rotating flexible electret-type machinery antenna is utilized.
Description
Technical field
The present invention relates to LF communication technical fields, more particularly to one kind is based on flexible electret cylindrical shape low frequency machine
Tool antenna.The derivation of equation is provided for the magnetic field that the flexible electret-type machinery antenna of the cylindrical shape generates and analytic modell analytical model constructs.
Background technique
For low frequency based on traditional antenna/very low frequency navigation communication system in order to effectively emit electromagnetic wave, day linear content must
It must be comparable with the wavelength of radiation signal.Traditional antenna generallys use the form transmitting electromagnetic wave of current oscillation, therefore antenna
It needs to connect with feeder line, provides driving voltage by feeder line, so as to form current oscillation in antenna.When antenna and feeder line is arranged
Need to consider the matching of antenna and feeder line, for the ease of the matching of antenna and feeder line, it usually needs the reactance of antenna is arranged
It is as small as possible.And traditional low-frequency antenna reactance is all higher, is mainly mended by the way that the resonance matching circuit of bulky is arranged
The reactance of antenna is repaid, it is bulky so as to cause existing low frequency navigation communication system, power consumption is high.Therefore there is an urgent need to can show
The technology for reducing existing low frequency/VLF communication system transmitting antenna size is write, low frequency and very low frequency electromagnetic can be emitted by designing
The miniature antenna of wave.The navigational communications and the realization super long distance of high reliability fought in high threat and defence environment for my army
Key technology support is provided from navigational communications, big depth underwater navigational communications, strong through the earth communication.
2017 U.S. Nian9Yue DARPA (U.S. national defense advanced research projects agency), 23,000,000 U.S. dollars of furnishing funds for start by a definite date 45
A month " mechanical antenna " plan (A MEchanically Based Antenna, number: HR001117S0007), the plan
It is quasi- to drive electret or permanent magnet material generation radiofrequency signal to be propagated by mechanical device.This has approved and initiate a project initial stage just
By more news media's reports of China, News Network, Sohu science and techniques of defence headline channel thinks that the project will unified American strategy army
(air strategy bomber, headquarter, union team, strategic maneuver command post and intercontinental missile system) general very low frequency communication technology, in
State's frontier research center the project is classified as one of four technologies in forefront of DARPA in 2017 (underwater optical fibre communication network,
Small low-cost long endurance unmanned aircraft, mechanical antenna, street fighting unmanned plane cluster).
Mechanical antenna technology provides possibility for the miniaturization transmitting antenna of realization transmitting low frequency and VLF electromagnetic wave.Machine
Tool antenna drives charge or permanent magnet to generate magnetic field signal and carries out signal propagation by specific mechanical device.Mechanical antenna method
Can pole the volume and power consumption of low frequency navigation communication system transmitting antenna is greatly reduced, realize the great change of radio transmitting system
Leather property and subversiveness innovation.
The increasingly mature of high charge density composite material electret realizes that mechanical antenna technology provides to manufacture and design
Materials for support.Electret (electret) refers under field conditions (factors), can with long time stored space charge or polarization charge,
The material of electric polarity is shown under macroscopic conditions.Electret into cross polarize after, can keep for a long time polarity to the several years very
To many decades, it is analogous to permanent magnet, electret is also known as electret.
Based on mechanical antenna technology described above and electret body technique, the present invention proposes a kind of based on flexible electret
Low-Frequency Mechanical antenna way of realization.And formula is carried out to magnetic field caused by the Low-Frequency Mechanical antenna under the cylinder configuration
It derives and analytic modell analytical model constructs.It is domestic at present less for the research in the field, it is provided by the invention a kind of based on flexible electret
Body material cylindrical shape Low-Frequency Mechanical antenna generates the Analytic modeling method in magnetic field, to magnetic field of the foundation based on electret machinery antenna
The structure optimization and improvement of analytic modell analytical model and mechanical antenna all have important function.
Summary of the invention
A kind of parsing generating magnetic field based on flexible electret cylindrical shape Low-Frequency Mechanical antenna provided by the invention is built
Mould method, the magnetic field which is capable of mechanical Antenna Operation generation cylinder-shaped to flexible electret carry out theoretical simulation, can
To provide gross data guidance for research and development and experimentation, there is weight with improvement to the structure optimization based on electret machinery antenna
It acts on, the specific steps are as follows:
S1: analyzing and simplifies the structure of cylinder-shaped flexible electret-type machinery antenna: since flexible electret film is relatively thin,
And backing material is not charged.It can thus be assumed that cylinder-shaped flexibility electret-type machinery antenna live part is the outer cylinder of cylinder,
Then live part is a uniform charged ring in its cross section.
S2: cylinder-shaped flexibility electret-type machinery antenna cross section generation in nondissipative medium is established according to structure is simplified in S1
The analytic modell analytical model in magnetic field:
A certain amount of charge is had on flexible electret film, ring current is generated by rotation, and then generate magnetic field.Magnetic
Field is cut down your theorem using Biot-Sa and is calculated, the magnetic induction intensity dB that each electric current infinitesimal generates in transmitting antenna:
Wherein μ0For magnetic medium constant, I is the electric current by infinitesimal,For length infinitesimal,Magnetic is calculated to be directed toward from infinitesimal
The unit direction vector of site, D are the distance that infinitesimal is directed toward calculating magnetic field point.And according to the relationship of electric current and moving charge, lead to
The electric current for crossing each infinitesimal length may be expressed as: again
Wherein n is charge number, and S is conductor cross sectional area, and q is charge carried charge,For charge movement velocity vector.
It is apparent from charge density Q:
Q=nqS (3)
Therefore, electric current may be expressed as:
Then each electric current infinitesimal generates magnetic induction intensity and becomes:
Carrying out loop integral to magnetic induction intensity infinitesimal can obtain:
S3: the analytic modell analytical model in magnetic field is generated based on flexibility cylinder-shaped in S2 electret-type machinery antenna cross section, establishes nothing
Consume the analytic modell analytical model that cylinder-shaped flexible electret-type machinery antenna in medium generates magnetic field:
The magnetic field generated for entire cylinder, it is believed that be the superposition that each planar circular generates magnetic field, therefore available
The integral of magnetic field produced by each planar circular in the vertical direction calculates.(coordinate origin is in cylinder centroid)
Wherein H is cylinder heights,The magnetic flux density vector in magnetic field is generated for cylinder.
S4: the analytic modell analytical model in magnetic field is generated based on flexibility electret-type machinery antenna cylinder-shaped in nondissipative medium in S3, is built
Cylinder-shaped flexible electret-type machinery antenna generates the analytic modell analytical model in magnetic field in vertical lossy medium:
By electromagnetic wave in magnetic field decay formula:
Wherein B0(change) maximum value of mould by sinusoidal rule for certain point magnetic flux density vector in space, α is decaying system
Number, β are phase coefficient, and L is the point to initial point distance, and ω is wave frequency,For starting phase angle.
The maximum value of the magnetic flux density vector of corresponding points in the nondissipative medium calculated in S3, which is brought into, to be obtained:
WhereinFor the maximum value of the magnetic flux density vector of corresponding points in nondissipative medium, BDamageIt is right in lossy medium
Magnetic induction intensity should be put.
Further, mechanical antenna is cylindrical shape in step S1, and by support construction, and with charge and thickness can be disregarded
Flexible electret composition, can be reduced to electrification cylinder.
Further, mechanical antenna cross section can be reduced to uniform charged ring in step S2.
Further, flexible electret cylindrical shape Low-Frequency Mechanical antenna height, radius can arbitrarily be changed in step S3
Equidimension calculates the magnetic induction intensity of space arbitrary point in lossless medium.
Further, flexible electret cylindrical shape Low-Frequency Mechanical antenna height, radius can arbitrarily be changed in step S4
Equidimension calculates the magnetic induction intensity for damaging space arbitrary point in medium.
Detailed description of the invention
The cylinder-shaped mechanical antenna structure of Fig. 1 and cross-sectional view
The cylinder-shaped mechanical antenna of Fig. 2 generates magnetic field Analytic modeling flow chart
The cylinder-shaped mechanical antenna cross section Fig. 3 generates magnetic field and calculates schematic diagram
Magnetic field, which is generated, when Fig. 4 cylindrical shape machinery antenna cross-sectional moment calculates schematic diagram
Fig. 5 machinery antenna communication schematic diagram
Specific embodiment
Below in conjunction with the attached drawing in present specification, the technical solution in presently filed embodiment is carried out clear
Chu, complete description, it is clear that described embodiment is merely possible to illustrate, and is not intended to limit the application.
As shown in Figure 1, the present invention proposes a kind of way of realization of Low-Frequency Mechanical antenna based on flexible electret.Such as
Shown in Fig. 2, the present invention provides a kind of Analytic modeling that magnetic field is generated based on flexible electret cylindrical shape Low-Frequency Mechanical antenna
Method, comprising the following steps:
S1: analyzing and simplifies the structure of cylinder-shaped flexible electret-type machinery antenna；
The flexible electret-type machinery antenna of cylindrical shape as shown in Figure 1, due to the electret thickness with charge compared with
It is thin, it can be ignored compared to backing material thickness, therefore mechanical antenna can be abstracted into an electrification cylinder, cross section can
It is abstracted into electrification circle, distribution of charges is circumferentially.
S2: establishing and derives theoretical formula used in rotation electret-type machinery antenna；
S3: assignment is carried out to parameter used in cylinder-shaped flexible electret-type machinery antenna；
S4: it is transversal that cylinder-shaped flexibility electret-type machinery antenna in nondissipative medium is established according to simplified structure and required formula
The analytic modell analytical model in face generation magnetic field:
A certain amount of charge is had on flexible electret film, ring current is generated by rotation, and then generate magnetic field.Magnetic
Field is cut down your theorem using Biot-Sa and is calculated, the magnetic induction intensity dB that each electric current infinitesimal generates in transmitting antenna:
Wherein μ0For magnetic medium constant, I is the electric current by infinitesimal,For length infinitesimal,Magnetic is calculated to be directed toward from infinitesimal
The unit direction vector of site, D are the distance that infinitesimal is directed toward calculating magnetic field point.And according to the relationship of electric current and moving charge, lead to
The electric current for crossing each infinitesimal length may be expressed as: again
Wherein n is charge number, and S is conductor cross sectional area, and q is charge carried charge,For charge movement velocity vector.
It is apparent from charge density Q:
Q=nqS (3)
Therefore, electric current may be expressed as:
Then each electric current infinitesimal generates magnetic induction intensity and becomes:
Carrying out loop integral to magnetic induction intensity infinitesimal can obtain:
WhereinThe as magnetic flux density vector in magnetic field produced by mechanical antenna cross section.
Such as Fig. 3, calculated for being put in X-axis:
When signal receiving point away from mechanical antenna farther out, and meet distance L > > R when, we can ignore the ruler of mechanical antenna
It is very little.
When signal receiving point is closer away from mechanical antenna, when only meeting distance L > R, it would be desirable to consider the ruler of mechanical antenna
It is very little.
The distance D that antenna infinitesimal is directed toward magnetic field signal receiving point when ignoring transmitting antenna size is equal to initial point distance x,
Using symmetry, receiving point magnetic induction intensity: (mould that following B refers both to magnetic flux density vector) is calculated
When considering transmitting antenna size, antenna infinitesimal is directed toward distance D and the receiving point magnetic induction of magnetic field signal receiving point
Intensity is as follows:
Since antenna mechanical in the present invention is usually used in telecommunication, therefore the feelings of transmitting antenna size are ignored in main discussion herein
Condition.
When ignoring transmitting antenna size, when antenna turns over certain angle, such as Fig. 4:
Sector 1 in transmitting antenna is produced from the outside magnetic field of paper and sector 2 is produced from the inside magnetic field of paper.Two
Magnetic field caused by dash area sector can cancel out each other, so (7) formula converts are as follows: (wherein ω is annulus rotational angular velocity, t
For rotation time.)
S5: cylinder-shaped flexibility electret-type machinery antenna in nondissipative medium is established according to simplified structure and required formula and is generated
The analytic modell analytical model in magnetic field:
The magnetic field generated for entire cylinder, it is believed that be the superposition that each planar circular generates magnetic field, therefore available
The integral of magnetic field produced by each planar circular in the vertical direction calculates.(coordinate origin is in cylinder centroid)
Wherein H is cylinder heights,The magnetic flux density vector in magnetic field is generated for cylinder.
When ignoring transmitting antenna size, for any point B (x, y, z) in space, from formula 5, formula 6 and formula 7:
Wherein H is cylinder heights, and Q is cylinder outer surface charge density, and R is circular cylinder radius,It is as any one in space
Point, the magnetic flux density vector of any time.
S6: cylinder-shaped flexibility electret-type machinery antenna in lossy medium is established according to simplified structure and required formula and is generated
The analytic modell analytical model in magnetic field:
By electromagnetic wave in magnetic field decay formula:
Wherein B0(change) maximum value of mould by sinusoidal rule for certain point magnetic flux density vector in space, α is decaying system
Number, β are phase coefficient, and L is the point to initial point distance, and ω is wave frequency,For starting phase angle.
The maximum value of the magnetic flux density vector of corresponding points in the nondissipative medium calculated in S5, which is brought into, to be obtained:
WhereinFor the maximum value of the magnetic flux density vector of corresponding points in nondissipative medium, BDamageIt is right in lossy medium
Magnetic induction intensity mould should be put, the direction of magnetic induction intensity is identical as the preceding direction vector of loss is considered.
Attenuation coefficient α, phase coefficient β calculation formula are as follows:
In good conductor (such as seawater):
In non-conductor (such as air):
Cylinder-shaped electret machinery antenna any point any time in lossy medium space can be calculated by formula 18-21
The magnetic induction intensity of generation.
Claims (5)
1. a kind of Analytic modeling method for being generated magnetic field based on flexible electret cylindrical shape Low-Frequency Mechanical antenna, feature are existed
In, comprising the following steps:
S1: analyzing and simplifies the structure of cylinder-shaped flexible electret-type machinery antenna: since flexible electret film is relatively thin, and propping up
Timbering material is not charged.It can thus be assumed that cylinder-shaped flexibility electret-type machinery antenna live part is the outer cylinder of cylinder, then its
Live part is a uniform charged ring in cross section.
S2: cylinder-shaped flexibility electret-type machinery antenna cross section generation magnetic field in nondissipative medium is established according to structure is simplified in S1
Analytic modell analytical model:
A certain amount of charge is had on flexible electret film, ring current is generated by rotation, and then generate magnetic field.Magnetic field makes
It cuts down your theorem with Biot-Sa to calculate, the magnetic induction intensity dB that each electric current infinitesimal generates in transmitting antenna:
Wherein μ0For magnetic medium constant, I is the electric current by infinitesimal,For length infinitesimal,To be directed toward calculating magnetic field point from infinitesimal
Unit direction vector, D be infinitesimal be directed toward calculating magnetic field point distance.And according to the relationship of electric current and moving charge, by every
The electric current of a infinitesimal length may be expressed as: again
Wherein n is charge number, and S is conductor cross sectional area, and q is charge carried charge,For charge movement velocity vector.
It is apparent from charge density Q:
Q=nqS (3)
Therefore, electric current may be expressed as:
Then each electric current infinitesimal generates magnetic induction intensity and becomes:
Carrying out loop integral to magnetic induction intensity infinitesimal can obtain:
S3: the analytic modell analytical model in magnetic field is generated based on flexibility cylinder-shaped in S2 electret-type machinery antenna cross section, establishes lossless matchmaker
Cylinder-shaped flexibility electret-type machinery antenna generates the analytic modell analytical model in magnetic field in matter:
The magnetic field generated for entire cylinder, it is believed that be the superposition that each planar circular generates magnetic field, therefore available each
The integral of magnetic field produced by planar circular in the vertical direction calculates.(coordinate origin is in cylinder centroid)
Wherein H is cylinder heights,The magnetic flux density vector in magnetic field is generated for cylinder.
S4: generating the analytic modell analytical model in magnetic field based on flexibility electret-type machinery antenna cylinder-shaped in nondissipative medium in S3, and foundation has
Consume the analytic modell analytical model that cylinder-shaped flexible electret-type machinery antenna in medium generates magnetic field:
By electromagnetic wave in magnetic field decay formula:
Wherein B0(change) maximum value of mould by sinusoidal rule for certain point magnetic flux density vector in space, α is attenuation coefficient, and β is
Phase coefficient, L are the point to initial point distance, and ω is wave frequency,For starting phase angle.
The maximum value of the magnetic flux density vector of corresponding points in the nondissipative medium calculated in S3, which is brought into, to be obtained:
WhereinFor the maximum value of the magnetic flux density vector of corresponding points in nondissipative medium, BDamageFor corresponding points in lossy medium
Magnetic induction intensity.
2. a kind of parsing for generating magnetic field based on flexible electret cylindrical shape Low-Frequency Mechanical antenna according to claim 1
Modeling method, which is characterized in that mechanical antenna is cylindrical shape in the step S1, and by support construction, and has charge and thickness
Negligible flexible electret composition is spent, electrification cylinder can be reduced to.
3. a kind of parsing for generating magnetic field based on flexible electret cylindrical shape Low-Frequency Mechanical antenna according to claim 1
Modeling method, it is characterised in that mechanical antenna cross section can be reduced to uniform charged ring in the step S2.
4. a kind of parsing for generating magnetic field based on flexible electret cylindrical shape Low-Frequency Mechanical antenna according to claim 1
Modeling method, which is characterized in that it is high can arbitrarily to change flexible electret cylindrical shape Low-Frequency Mechanical antenna in the step S3
Degree, radius equidimension, calculate the magnetic induction intensity of space arbitrary point in lossless medium.
5. a kind of parsing for generating magnetic field based on flexible electret cylindrical shape Low-Frequency Mechanical antenna according to claim 1
Modeling method, which is characterized in that it is high can arbitrarily to change flexible electret cylindrical shape Low-Frequency Mechanical antenna in the step S4
Degree, radius equidimension calculate the magnetic induction intensity for damaging space arbitrary point in medium.
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Cited By (4)
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| CN110943953A (en) * | 2019-10-25 | 2020-03-31 | 武汉船舶通信研究所（中国船舶重工集团公司第七二二研究所） | Transmission system based on rotary mechanical antenna and information loading method |
| CN111478872A (en) * | 2020-04-06 | 2020-07-31 | 西安电子科技大学 | Low-frequency mechanical antenna based on electromechanical coupling and signal processing method |
| CN113067135A (en) * | 2021-04-03 | 2021-07-02 | 武汉菲思数联科技有限公司 | Low-frequency electret mechanical antenna and working method |
| CN117054755A (en) * | 2023-10-13 | 2023-11-14 | 宁波麦思捷科技有限公司武汉分公司 | Method and system for analyzing magnetic field change caused by lightning |
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| CN117054755A (en) * | 2023-10-13 | 2023-11-14 | 宁波麦思捷科技有限公司武汉分公司 | Method and system for analyzing magnetic field change caused by lightning |
| CN117054755B (en) * | 2023-10-13 | 2023-12-22 | 宁波麦思捷科技有限公司武汉分公司 | Method and system for analyzing magnetic field change caused by lightning |
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