CN107370248A - Deng radius electromagnetic resonant parallel power coil design method - Google Patents
Deng radius electromagnetic resonant parallel power coil design method Download PDFInfo
- Publication number
- CN107370248A CN107370248A CN201710709126.XA CN201710709126A CN107370248A CN 107370248 A CN107370248 A CN 107370248A CN 201710709126 A CN201710709126 A CN 201710709126A CN 107370248 A CN107370248 A CN 107370248A
- Authority
- CN
- China
- Prior art keywords
- mrow
- msub
- coil
- msup
- mfrac
- 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.)
- Granted
Links
Classifications
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J50/00—Circuit arrangements or systems for wireless supply or distribution of electric power
- H02J50/10—Circuit arrangements or systems for wireless supply or distribution of electric power using inductive coupling
-
- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01F—MAGNETS; INDUCTANCES; TRANSFORMERS; SELECTION OF MATERIALS FOR THEIR MAGNETIC PROPERTIES
- H01F38/00—Adaptations of transformers or inductances for specific applications or functions
- H01F38/14—Inductive couplings
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02J—CIRCUIT ARRANGEMENTS OR SYSTEMS FOR SUPPLYING OR DISTRIBUTING ELECTRIC POWER; SYSTEMS FOR STORING ELECTRIC ENERGY
- H02J50/00—Circuit arrangements or systems for wireless supply or distribution of electric power
- H02J50/10—Circuit arrangements or systems for wireless supply or distribution of electric power using inductive coupling
- H02J50/12—Circuit arrangements or systems for wireless supply or distribution of electric power using inductive coupling of the resonant type
Landscapes
- Engineering & Computer Science (AREA)
- Power Engineering (AREA)
- Computer Networks & Wireless Communication (AREA)
- Other Investigation Or Analysis Of Materials By Electrical Means (AREA)
- Near-Field Transmission Systems (AREA)
Abstract
The invention discloses wait radius electromagnetic resonant parallel power coil design method, for the dispatch coil with same radius magnetic coupling resonance formula wireless charging system in short range transmission, mutual inductance between dispatch coil sharply increases with the reduction of distance, system is caused to be in overcoupling state, produce frequency splitting, cause the phenomenon of efficiency of transmission step-down of the system at resonant frequency, the sense of current is flowed through in a transmitting terminal reverse winding in parallel and primary radiation circle is in opposite direction, mutual inductance between transmitting terminal and reception end-coil when weakening short range transmission, weaken overcoupling degree, suppress frequency splitting, efficiency of transmission of the raising system at resonant frequency.
Description
Technical field
The invention belongs to wireless power transmission equipment technical field, and in particular to the radius electromagnetic such as one kind resonant parallel is powered
Coil design approaches.
Background technology
The electric energy energy indispensable in being lived as people, its prevailing transmission mode is realized by electric wire
, so far, the status of this power transmission mode is still irreplaceable.With developing rapidly for science and technology, electronic product is got over
More to tend to miniaturization, portability so that more and more obvious the defects of traditional power transmission mode, for example current supply line occupies larger
Space resources；Wires cross is overlapping to produce substantial amounts of electromagnetic interference；(such as explosion-proof, fire prevention, underwater, industrial and mineral in particular surroundings
Deng field), the electric spark of connecting position of wires is likely to result in great security incident；The presence of charging conductor causes portable electric
Sub- product (such as mobile phone, iPad, MP3Deng) mobility variation；The incomplete unification of charger, electric wire, socket standard, give trip band
Carry out many troubles, while also result in wasting of resources etc..It fact proved, traditional power supply mode has become increasingly expire
Foot produces and the actual demand of life, and modern is to the demand of wireless power transmission more urgent.In recent years, as radio energy passes
The development of transferring technology, concern and research of the domestic and foreign scholars to wireless power transmission technology are more and more, and the technology turns into electricity
One of most active hot research direction of gas engineering field.
Wireless power transmission (Wireless power transmission, WPT) refers generally to by electromagnetic field or electromagnetic wave
Realize the technology of electric energy wireless transmission.This imagination earliest by be described as " father of alternating current ", " radio pioneer " the U.S. send out
Dummy Ni Gula teslas (NikolaTesla) proposed that its imagination was at the earth's surface and away from earth's surface 60,000 in 1889
Ionosphere more than rice between the two, produces one close to 8 hertz of low-frequency resonance, energy is realized by the electromagnetic wave around earth's surface
The transmission of amount, could not be complete so as to realize the wirelessly provisioning of electric energy in global range, but finally under the pressure of economic cause and political pressure
Into experiment.Hereafter it is wireless successively to there is microwave type without the research stopped to wireless power transmission technology by century more than one, people
Transmission of electricity and induction type wireless power transmission.
But for many years wireless power transmission based on both technologies, big progress is not obtained, and this is also nothing
Line transmission of electricity does not obtain commercialized one of the main reasons.Until in November, 2006, the Massachusetts Institute of Technology (MIT)
MarinSoljacic is taught and related researcher utilizes a kind of new technology-magnetic coupling harmonic technology, has successfully lighted one
It is separated by 2.1m distant places 60W bulb, realizes being wirelessly transferred for distance in electric energy, breaches restriction wireless power transmission skill all the time
The bottleneck of art development, start again both at home and abroad to the upsurge of wireless power transmission research.Should be it is a technical advantage that system worked well
When, transmitting terminal will not produce the electromagnetic wave of radiation, but a non-radiative alternating magnetic field is formed around it so that receiving terminal
Resonating, energy there's almost no loss in transmitting procedure, compared with induction wireless power transmission technology, its electric energy
Consumption be reduced by about 1,000,000 times in theory, in addition in long distance power transmission, its magnetic field intensity close to earth magnetic field intensity, so
Harmful effect never is produced to people.
In summary, magnetic coupling harmonic technology has unrivaled advantage and extremely wide application prospect (such as in electricity
The fields such as electrical automobile, vivo implantation type Medical Devices, underwater operation, oil field mine operation), there is high researching value and answer
With value.But the technology is developed so far, and is not used widely, its reason is mainly by power output and efficiency of transmission system
About, typical WPT system is concentrated mainly on for the optimizing research of the two, most researchs both domestic and external at present, its method is main
It is by changing coil parameter (such as material, quality factor, shape), high-frequency inverter circuit topology, increase auxiliary circuit (frequency
Track circuit, tuning circuit etc.) etc., and it is seldom on the research that coil transmission structure influences on systematic function.Therefore, it is of the invention
Magnetic coupling harmonic technology is mainly based upon, the transmission characteristic of several different loop construction systems is analyzed, have studied its output work
The optimization of rate and efficiency of transmission, verification experimental verification is carried out.
The content of the invention
While the present invention is realizes in systems the not outer complicated circuit of plus, consumption excess energy, can effectively it press down
The frequency splitting occurred in WPT/MRC processed, so as to provide the radius electromagnetic resonant parallel power coil design method such as one kind.
The present invention adopts the following technical scheme that to solve above-mentioned technical problem, waits radius electromagnetic resonant parallel power coil to set
Meter method, it is characterised in that device includes signal generator, power amplifier, by the inside and outside reverse winding being coaxially disposed and forward direction
The forward and reverse bridging coil of transmitting terminal, receiving terminal unidirectional coil, the tunable capacitor C of coil composition1, tunable capacitor C2And load, wherein
Confronting coaxial is set after prepared separation between the forward and reverse bridging coil of transmitting terminal and receiving terminal unidirectional coil, the signal generator
Signal output part and the signal input part of power amplifier connect, the signal output part of power amplifier and tunable capacitor C1's
One end connects, tunable capacitor C1One end respectively with transmitting terminal forward direction coil and reverse winding of the other end be connected, transmitting is rectified
It is connected respectively with the negative sense output end of power amplifier to the other end of coil and reverse winding, the receiving terminal unidirectional coil
One end is connected with the positive input loaded, the other end and the tunable capacitor C of receiving terminal unidirectional coil2One end connection, it is adjustable
Electric capacity C2The other end with load negative input be connected；
Specific design process is：
Step 1: the mutual inductance formula between two circular coils：
Wherein, n1And n2It is the number of turn of two circular coils respectively, μ0For space permeability, r1And r2It is the half of two circular coils respectively
Footpath, distances of the d between two circular coils, K (k) and E (k) are the first kind and elliptic integral of the second kind respectively；
By the mutual inductance formula between two circular coils, draw and work as r1=r2When, as distance d is gradually reduced, k (r1,r2,d)
1, the K (k) that gradually levels off to becomes big, and E (k) diminishes, M (r1,r2, d) it can then become larger, passed in magnetic coupling resonance formula radio energy
In defeated system, when the circular coil of the radius such as two is respectively as transmitting and receiving coil, then system can be made to be in overcoupling state,
Occurrence frequency separating phenomenon, efficiency of transmission of the system at resonant frequency reduce；
Step 2: the radius of receiving terminal unidirectional coil is set as rR, number of turn nR, the radius of setting transmitting terminal forward direction coil
For rT f, the radius of reverse winding is rT r, the radius of transmitting terminal forward direction coil and the radius of receiving terminal unidirectional coil are equal, i.e. rT f
=rR=r；
Step 3: obtained according to Circuit theory mutual between the forward and reverse bridging coil of transmitting terminal and receiving terminal unidirectional coil
Sense：
In formula, nT fAnd nT rIt is the number of turn of transmitting terminal forward direction coil and reverse winding respectively, nRIt is receiving terminal unidirectional coil
The number of turn, r are the radiuses of transmitting terminal forward direction coil and receiving terminal unidirectional coil, rT rIt is the radius of transmitting terminal reverse winding, DijIt is hair
Penetrate and rectify the distance between jth circle of the i-th circle and receiving terminal unidirectional coil to coil or reverse winding, D is that transmitting terminal is positive
Coil or the distance between reverse winding and receiving terminal unidirectional coil central point；LT fAnd LT rBe respectively transmitting terminal forward direction coil and
The self-induction of reverse winding, MfrIt is the mutual inductance between transmitting terminal forward direction coil and reverse winding, MfAnd M (D)r(D) it is respectively transmitting
Rectify to mutual between the mutual inductance between coil and receiving terminal unidirectional coil and transmitting terminal reverse winding and receiving terminal unidirectional coil
Sense；
Step 4: by seeking differential of the M (D) on D, formula is drawn：
According to the structure of the forward and reverse bridging coil of transmitting terminal and receiving terminal unidirectional coil, it is determined that transmitting terminal forward direction coil and
After the radius of reverse winding, the turn ratio of transmitting terminal forward direction coil and reverse winding is obtained；
Step 5: the number of turn of transmitting terminal forward direction coil and reverse winding is adjusted, according to formula
Determine that mutual inductance is with the planarization of distance change curve, formula between the forward and reverse bridging coil of transmitting terminal and receiving coil
In, D0For the initial distance between the forward and reverse bridging coil of transmitting terminal and receiving terminal unidirectional coil, D1For the forward and reverse parallel connection of transmitting terminal
When mutual inductance takes maximum between coil and receiving terminal unidirectional coil the forward and reverse bridging coil of transmitting terminal and receiving terminal unidirectional coil it
Between distance, v it is smaller then represent mutual inductance it is more flat with distance change curve, according to the forward and reverse bridging coil of transmitting terminal and receiving terminal
Mutual inductance between unidirectional coil determines transmitting terminal forward direction coil and reverse winding with the planarization of transmission range change curve
The number of turn, to meet that optimal transmission is adjusted between radio energy transmission system, wherein choosing the forward and reverse bridging coil of transmitting terminal and connecing
Mutual inductance between receiving end unidirectional coil is with transmission range change curve most flat corresponding transmitting terminal forward direction coil and reverse line
The number of turn of circle is as the optimal design number of turn；
Step 6: utilize tunable capacitor C1With tunable capacitor C2Respectively by the forward and reverse bridging coil of transmitting terminal and receiving terminal list
To coil tuning radius electromagnetic resonant parallel power coil is waited in working frequency used i.e. completion applied to wireless power transmission
Design.
Further preferably, the radius r of the receiving terminal unidirectional coilRWith number of turn nRSetting it is true according to actual charge target
It is fixed；The positive coil radius r of the forward and reverse bridging coil of transmitting terminalT fWith receiving terminal unidirectional coil radius rRIt is equal, it is set as r, instead
To coil radius rT rSetting determined according to signal source.
Further preferably, the transmitting terminal forward direction coil and reverse winding and receiving terminal unidirectional coil are spiral round wire
Circle, spiral square coil or spiral oval coil.
The invention has the advantages that：Transmitting coil of the forward and reverse bridging coil of transmitting terminal as WPT/MRC systems
Generations of the WPT/MRC in the frequency splitting phenomenon in overcoupling area can effectively be suppressed.
Brief description of the drawings
Fig. 1 is the structural representation of WPT/MRC systems；
Fig. 2 is the equivalent circuit diagram of WPT/MRC systems；
Fig. 3 be between the forward and reverse bridging coil of transmitting terminal and receiving terminal unidirectional coil mutual inductance with the simulation curve of distance change
Schematic diagram；
Fig. 4 is the optimal design schematic diagram chosen.
Embodiment
Technical scheme is described in detail in conjunction with the embodiments.
Deng radius electromagnetic resonant parallel resonance power coil design method, it includes transmitting coil (by positive coil and instead
To coil form forward and reverse bridging coil), receiving coil (unidirectional coil), tunable capacitor C1With tunable capacitor C2；Transmitting is rectified
It is spiral circular coil to coil, reverse winding and receiving terminal unidirectional coil.
The signal input part of the signal output part of signal generator and power amplifier connects, power amplifier it is positive defeated
Go out end and tunable capacitor C1One end connection, tunable capacitor C1The other end respectively with transmitting terminal forward direction coil and reverse winding
One end connects, the negative sense output end connection of the other end and power amplifier of transmitting terminal forward direction coil and reverse winding；
The forward and reverse bridging coil of the transmitting terminal and receiving terminal unidirectional coil confronting coaxial are placed, and two hub of a spools point it
Between distance be D, D is positive number, and one end of the receiving terminal unidirectional coil is connected with the positive input loaded, and receiving terminal is unidirectional
The other end of coil and tunable capacitor C2One end connection, tunable capacitor C2The other end with load negative end be connected.
WPT/MRC system architectures are as shown in figure 1, signal is produced through power amplifier from signal generator, by transmitting coil
Transmitting, is received, and pass to load by receiving coil.
Fig. 2 is the equivalent circuit of WPT/MRC systems, is coupled and interacted by magnetic field resonance between coil, this coupling
The intensity of conjunction is weighed with mutual inductance M.
Transmission coefficient S can be used according to the transmission characteristic of magnet coupled resonant type wireless energy transmission system21To represent, transmission
Efficiency is represented with η.
η=| S21|2× 100% (2)
When system works in coil resonance frequency, transmission coefficient S21(3) formula can be reduced to：
The transmission coefficient S it can be seen from formula (3)21It is the function on mutual inductance and frequency, so in fixed working frequency
Under obtain flat efficiency curves, can be realized by flat mutual inductance change curve.Therefore, for the optimization of coil
Design is very important.
The mutual inductance being illustrated in figure 3 between the forward and reverse bridging coil of transmitting terminal and receiving terminal unidirectional coil is shown with distance change
It is intended to.And the mutual inductance between the forward and reverse bridging coil of transmitting terminal and receiving terminal unidirectional coil can be represented by the following formula：
In formula, nT fAnd nT rIt is the number of turn of transmitting terminal forward direction coil and reverse winding respectively, nRIt is receiving terminal unidirectional coil
The number of turn, r are the radiuses of transmitting terminal forward direction coil and receiving terminal unidirectional coil, rT rIt is the radius of transmitting terminal reverse winding, DijIt is hair
Penetrate and rectify the distance between jth circle of the i-th circle and receiving terminal unidirectional coil to coil or reverse winding, D is that transmitting terminal is positive
Coil or the distance between reverse winding and receiving terminal unidirectional coil central point；LT fAnd LT rBe respectively transmitting terminal forward direction coil and
The self-induction of reverse winding, MfrIt is the mutual inductance between transmitting terminal forward direction coil and reverse winding, MfAnd M (D)r(D) it is respectively transmitting
Rectify to mutual between the mutual inductance between coil and receiving terminal unidirectional coil and transmitting terminal reverse winding and receiving terminal unidirectional coil
Sense.
By seeking differential of the M (D) on D, formula is drawn：
According to the structure of the forward and reverse bridging coil of transmitting terminal and receiving terminal unidirectional coil, it is determined that transmitting terminal forward direction coil and
After the radius of reverse winding, the turn ratio of transmitting terminal forward direction coil and reverse winding can be obtained.
The number of turn of transmitting terminal forward direction coil and reverse winding is adjusted, according to formula
Determine that mutual inductance is with the flat of distance change curve between the forward and reverse bridging coil of transmitting terminal and receiving terminal unidirectional coil
Degree, in formula, D0For the initial distance between the forward and reverse bridging coil of transmitting terminal and receiving terminal unidirectional coil, D1Rectify to launch
The forward and reverse bridging coil of transmitting terminal and receiving terminal list when mutual inductance takes maximum between reverse parallel connection coil and receiving terminal unidirectional coil
To the distance between coil.V is smaller then to represent that mutual inductance is more flat with distance change curve；Optimal Parameters are chosen, as shown in Figure 4.
As the WPT/MRC systems of transmitting coil closely interior obvious frequency point can occur for transmitting terminal forward direction coil
Split, and WPT/MRC system of the forward and reverse bridging coil of transmitting terminal as transmitting coil, due to the presence of reverse winding, suppress hair
The acute variation rectified to mutual inductance between coil and receiving terminal unidirectional coil is penetrated, suppresses the generation of frequency splitting phenomenon.
The design method of the forward and reverse bridging coil of transmitting terminal above is summarized, following design procedure can be summarized as：
1st, receiving terminal unidirectional coil size, receiving terminal unidirectional coil radius and transmitting terminal positive line are determined according to charge target
It is identical to enclose radius, chooses suitable transmitting terminal reverse winding radius；
2nd, the mutual inductance between the forward and reverse bridging coil of transmitting terminal and receiving terminal unidirectional coil is obtained, passes through the differential to mutual inductance
The turn ratio of transmitting terminal forward direction coil and reverse winding is drawn, the number of turn of transmitting terminal forward direction coil and reverse winding is adjusted
It is whole, selected according to mutual inductance between the forward and reverse bridging coil of transmitting terminal and receiving terminal unidirectional coil with the planarization of distance change curve
Take the suitable number of turn；
3 and then using tunable capacitor, dispatch coil is tuned at working frequency used.
Invention has the advantages that：By theoretical calculation, the forward and reverse bridging coil of transmitting terminal is as emission lines
The WPT/MRC systems of circle can effectively suppress the generation of frequency splitting phenomenon, and can make WPT/MRC systems closely interior
Expeditiously carry out energy transmission.
Claims (3)
1. grade radius electromagnetic resonant parallel power coil design method, it is characterised in that device includes signal generator, power is put
Big device, the forward and reverse bridging coil of transmitting terminal, the receiving terminal being made up of the inside and outside reverse winding being coaxially disposed and positive coil are unidirectional
Coil, tunable capacitor C1, tunable capacitor C2And load, wherein between the forward and reverse bridging coil of transmitting terminal and receiving terminal unidirectional coil
Confronting coaxial is set after prepared separation, and the signal output part of the signal generator and the signal input part of power amplifier connect
Connect, signal output part and the tunable capacitor C of power amplifier1One end connection, tunable capacitor C1The other end respectively with transmitting terminal
Positive coil connects with one end of reverse winding, the other end of transmitting terminal forward direction coil and reverse winding respectively with power amplifier
The connection of negative sense output end, one end of the receiving terminal unidirectional coil is connected with the positive input of load, receiving terminal unidirectional line
The other end of circle and tunable capacitor C2One end connection, tunable capacitor C2The other end with load negative input be connected；
Specific design process is：
Step 1: the mutual inductance formula between two circular coils：
<mrow>
<mi>M</mi>
<mrow>
<mo>(</mo>
<mrow>
<msub>
<mi>r</mi>
<mn>1</mn>
</msub>
<mo>,</mo>
<msub>
<mi>r</mi>
<mn>2</mn>
</msub>
<mo>,</mo>
<mi>d</mi>
</mrow>
<mo>)</mo>
</mrow>
<mo>=</mo>
<msub>
<mi>n</mi>
<mn>1</mn>
</msub>
<msub>
<mi>n</mi>
<mn>2</mn>
</msub>
<msub>
<mi>&mu;</mi>
<mn>0</mn>
</msub>
<msqrt>
<mrow>
<msub>
<mi>r</mi>
<mn>1</mn>
</msub>
<msub>
<mi>r</mi>
<mn>2</mn>
</msub>
</mrow>
</msqrt>
<mfrac>
<mn>2</mn>
<mi>k</mi>
</mfrac>
<mrow>
<mo>&lsqb;</mo>
<mrow>
<mrow>
<mo>(</mo>
<mrow>
<mn>1</mn>
<mo>-</mo>
<mfrac>
<msup>
<mi>k</mi>
<mn>2</mn>
</msup>
<mn>2</mn>
</mfrac>
</mrow>
<mo>)</mo>
</mrow>
<mi>K</mi>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>)</mo>
</mrow>
<mo>-</mo>
<mi>E</mi>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>)</mo>
</mrow>
</mrow>
<mo>&rsqb;</mo>
</mrow>
</mrow>
<mrow>
<mi>k</mi>
<mo>=</mo>
<msqrt>
<mfrac>
<mrow>
<mn>4</mn>
<msub>
<mi>r</mi>
<mn>1</mn>
</msub>
<msub>
<mi>r</mi>
<mn>2</mn>
</msub>
</mrow>
<mrow>
<msup>
<mrow>
<mo>(</mo>
<msub>
<mi>r</mi>
<mn>1</mn>
</msub>
<mo>+</mo>
<msub>
<mi>r</mi>
<mn>2</mn>
</msub>
<mo>)</mo>
</mrow>
<mn>2</mn>
</msup>
<mo>+</mo>
<msup>
<mi>d</mi>
<mn>2</mn>
</msup>
</mrow>
</mfrac>
</msqrt>
</mrow>
Wherein, n1And n2It is the number of turn of two circular coils respectively, μ0For space permeability, r1And r2It is the radius of two circular coils respectively, d
For the distance between two circular coils, K (k) and E (k) are the first kind and elliptic integral of the second kind respectively；
By the mutual inductance formula between two circular coils, draw and work as r1=r2When, as distance d is gradually reduced, k (r1,r2, d) gradually
1, the K (k) that levels off to becomes big, and E (k) diminishes, M (r1,r2, d) it can then become larger, in magnetic coupling resonance formula wireless power transmission system
In system, when the circular coil of the radius such as two is respectively as transmitting and receiving coil, then system can be made to be in overcoupling state, occurred
Frequency splitting phenomenon, efficiency of transmission of the system at resonant frequency reduce；
Step 2: the radius of receiving terminal unidirectional coil is set as rR, number of turn nR, the radius of transmitting terminal forward direction coil is set as rT f,
The radius of reverse winding is rT r, the radius of transmitting terminal forward direction coil and the radius of receiving terminal unidirectional coil are equal, i.e. rT f=rR=
r；
Step 3: the mutual inductance between the forward and reverse bridging coil of transmitting terminal and receiving terminal unidirectional coil is obtained according to Circuit theory：
<mfenced open = "" close = "">
<mtable>
<mtr>
<mtd>
<mrow>
<mi>M</mi>
<mrow>
<mo>(</mo>
<mi>D</mi>
<mo>)</mo>
</mrow>
<mo>=</mo>
<mfrac>
<mrow>
<mrow>
<mo>(</mo>
<mrow>
<msup>
<msub>
<mi>L</mi>
<mi>T</mi>
</msub>
<mi>r</mi>
</msup>
<mo>+</mo>
<msub>
<mi>M</mi>
<mrow>
<mi>f</mi>
<mi>r</mi>
</mrow>
</msub>
</mrow>
<mo>)</mo>
</mrow>
<msub>
<mi>M</mi>
<mi>f</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>D</mi>
<mo>)</mo>
</mrow>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mrow>
<msup>
<msub>
<mi>L</mi>
<mi>T</mi>
</msub>
<mi>f</mi>
</msup>
<mo>+</mo>
<msub>
<mi>M</mi>
<mrow>
<mi>f</mi>
<mi>r</mi>
</mrow>
</msub>
</mrow>
<mo>)</mo>
</mrow>
<msub>
<mi>M</mi>
<mi>r</mi>
</msub>
<mrow>
<mo>(</mo>
<mi>D</mi>
<mo>)</mo>
</mrow>
</mrow>
<mrow>
<msup>
<msub>
<mi>L</mi>
<mi>T</mi>
</msub>
<mi>f</mi>
</msup>
<mo>+</mo>
<msup>
<msub>
<mi>L</mi>
<mi>T</mi>
</msub>
<mi>r</mi>
</msup>
<mo>+</mo>
<mn>2</mn>
<msub>
<mi>M</mi>
<mrow>
<mi>f</mi>
<mi>r</mi>
</mrow>
</msub>
</mrow>
</mfrac>
</mrow>
</mtd>
</mtr>
<mtr>
<mtd>
<mrow>
<mo>=</mo>
<mfrac>
<mrow>
<mrow>
<mo>(</mo>
<mrow>
<msup>
<msub>
<mi>L</mi>
<mi>T</mi>
</msub>
<mi>r</mi>
</msup>
<mo>+</mo>
<msub>
<mi>M</mi>
<mrow>
<mi>f</mi>
<mi>r</mi>
</mrow>
</msub>
</mrow>
<mo>)</mo>
</mrow>
<msup>
<msub>
<mi>n</mi>
<mi>T</mi>
</msub>
<mi>f</mi>
</msup>
<msub>
<mi>n</mi>
<mi>R</mi>
</msub>
<mi>M</mi>
<mrow>
<mo>(</mo>
<mrow>
<mi>r</mi>
<mo>,</mo>
<mi>r</mi>
<mo>,</mo>
<mi>D</mi>
</mrow>
<mo>)</mo>
</mrow>
<mo>-</mo>
<mrow>
<mo>(</mo>
<mrow>
<msup>
<msub>
<mi>L</mi>
<mi>T</mi>
</msub>
<mi>f</mi>
</msup>
<mo>+</mo>
<msub>
<mi>M</mi>
<mrow>
<mi>f</mi>
<mi>r</mi>
</mrow>
</msub>
</mrow>
<mo>)</mo>
</mrow>
<msup>
<msub>
<mi>n</mi>
<mi>T</mi>
</msub>
<mi>r</mi>
</msup>
<msub>
<mi>n</mi>
<mi>R</mi>
</msub>
<mi>M</mi>
<mrow>
<mo>(</mo>
<mrow>
<msup>
<msub>
<mi>r</mi>
<mi>T</mi>
</msub>
<mi>r</mi>
</msup>
<mo>,</mo>
<mi>r</mi>
<mo>,</mo>
<mi>D</mi>
</mrow>
<mo>)</mo>
</mrow>
</mrow>
<mrow>
<msup>
<msub>
<mi>L</mi>
<mi>T</mi>
</msub>
<mi>f</mi>
</msup>
<mo>+</mo>
<msup>
<msub>
<mi>L</mi>
<mi>T</mi>
</msub>
<mi>r</mi>
</msup>
<mo>+</mo>
<mn>2</mn>
<msub>
<mi>M</mi>
<mrow>
<mi>f</mi>
<mi>r</mi>
</mrow>
</msub>
</mrow>
</mfrac>
</mrow>
</mtd>
</mtr>
</mtable>
</mfenced>
In formula, nT fAnd nT rIt is the number of turn of transmitting terminal forward direction coil and reverse winding respectively, nRIt is the number of turn of receiving terminal unidirectional coil,
R is the radius of transmitting terminal forward direction coil and receiving terminal unidirectional coil, rT rIt is the radius of transmitting terminal reverse winding, DijIt is transmitting terminal
The distance between i-th circle of positive coil or reverse winding and the jth circle of receiving terminal unidirectional coil, D are transmitting terminal forward direction coil
Or the distance between reverse winding and receiving terminal unidirectional coil central point；LT fAnd LT rBe respectively transmitting terminal forward direction coil and reversely
The self-induction of coil, MfrIt is the mutual inductance between transmitting terminal forward direction coil and reverse winding, MfAnd M (D)r(D) it is that transmitting is rectified respectively
Mutual inductance between the mutual inductance between coil and receiving terminal unidirectional coil and transmitting terminal reverse winding and receiving terminal unidirectional coil；
Step 4: by seeking differential of the M (D) on D, formula is drawn：
<mrow>
<mfrac>
<mrow>
<msub>
<mi>F</mi>
<mn>1</mn>
</msub>
<mfrac>
<mrow>
<mi>k</mi>
<mrow>
<mo>(</mo>
<mi>r</mi>
<mo>,</mo>
<mi>r</mi>
<mo>,</mo>
<mi>D</mi>
<mo>)</mo>
</mrow>
</mrow>
<msqrt>
<mi>r</mi>
</msqrt>
</mfrac>
<msub>
<mi>&mu;</mi>
<mn>0</mn>
</msub>
<msup>
<msub>
<mi>r</mi>
<mi>T</mi>
</msub>
<mi>r</mi>
</msup>
<mo>&lsqb;</mo>
<mi>l</mi>
<mi>o</mi>
<mi>g</mi>
<mrow>
<mo>(</mo>
<mfrac>
<mrow>
<mn>8</mn>
<msup>
<msub>
<mi>r</mi>
<mi>T</mi>
</msub>
<mi>r</mi>
</msup>
</mrow>
<mi>a</mi>
</mfrac>
<mo>-</mo>
<mn>1.75</mn>
<mo>)</mo>
</mrow>
<mo>&rsqb;</mo>
<mo>-</mo>
<msub>
<mi>F</mi>
<mn>2</mn>
</msub>
<mfrac>
<mrow>
<mi>k</mi>
<mrow>
<mo>(</mo>
<msup>
<msub>
<mi>r</mi>
<mi>T</mi>
</msub>
<mi>r</mi>
</msup>
<mo>,</mo>
<mi>r</mi>
<mo>,</mo>
<mi>D</mi>
<mo>)</mo>
</mrow>
</mrow>
<msqrt>
<mrow>
<msup>
<msub>
<mi>r</mi>
<mi>T</mi>
</msub>
<mi>r</mi>
</msup>
</mrow>
</msqrt>
</mfrac>
<mi>M</mi>
<mrow>
<mo>(</mo>
<mi>r</mi>
<mo>,</mo>
<mi>r</mi>
<mo>,</mo>
<mi>D</mi>
<mo>)</mo>
</mrow>
</mrow>
<mrow>
<msub>
<mi>F</mi>
<mn>2</mn>
</msub>
<mfrac>
<mrow>
<mi>k</mi>
<mrow>
<mo>(</mo>
<msup>
<msub>
<mi>r</mi>
<mi>T</mi>
</msub>
<mi>r</mi>
</msup>
<mo>,</mo>
<mi>r</mi>
<mo>,</mo>
<mi>D</mi>
<mo>)</mo>
</mrow>
</mrow>
<msqrt>
<mrow>
<msup>
<msub>
<mi>r</mi>
<mi>T</mi>
</msub>
<mi>r</mi>
</msup>
</mrow>
</msqrt>
</mfrac>
<msub>
<mi>&mu;</mi>
<mn>0</mn>
</msub>
<mi>r</mi>
<mo>&lsqb;</mo>
<mi>l</mi>
<mi>o</mi>
<mi>g</mi>
<mrow>
<mo>(</mo>
<mfrac>
<mrow>
<mn>8</mn>
<mi>r</mi>
</mrow>
<mi>a</mi>
</mfrac>
<mo>-</mo>
<mn>1.75</mn>
<mo>)</mo>
</mrow>
<mo>&rsqb;</mo>
<mo>-</mo>
<msub>
<mi>F</mi>
<mn>1</mn>
</msub>
<mfrac>
<mrow>
<mi>k</mi>
<mrow>
<mo>(</mo>
<mi>r</mi>
<mo>,</mo>
<mi>r</mi>
<mo>,</mo>
<mi>D</mi>
<mo>)</mo>
</mrow>
</mrow>
<msqrt>
<mi>r</mi>
</msqrt>
</mfrac>
<mi>M</mi>
<mrow>
<mo>(</mo>
<mi>r</mi>
<mo>,</mo>
<mi>r</mi>
<mo>,</mo>
<mi>D</mi>
<mo>)</mo>
</mrow>
</mrow>
</mfrac>
<mo>=</mo>
<mfrac>
<mrow>
<msup>
<msub>
<mi>n</mi>
<mi>T</mi>
</msub>
<mi>f</mi>
</msup>
</mrow>
<mrow>
<msup>
<msub>
<mi>n</mi>
<mi>T</mi>
</msub>
<mi>r</mi>
</msup>
</mrow>
</mfrac>
</mrow>
<mrow>
<msub>
<mi>F</mi>
<mn>1</mn>
</msub>
<mo>=</mo>
<mi>K</mi>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>(</mo>
<mrow>
<mi>r</mi>
<mo>,</mo>
<mi>r</mi>
<mo>,</mo>
<mi>D</mi>
</mrow>
<mo>)</mo>
<mo>)</mo>
</mrow>
<mo>-</mo>
<mfrac>
<mrow>
<mn>1</mn>
<mo>-</mo>
<mfrac>
<mn>1</mn>
<mn>2</mn>
</mfrac>
<msup>
<mi>k</mi>
<mn>2</mn>
</msup>
<mrow>
<mo>(</mo>
<mi>r</mi>
<mo>,</mo>
<mi>r</mi>
<mo>,</mo>
<mi>D</mi>
<mo>)</mo>
</mrow>
</mrow>
<mrow>
<mn>1</mn>
<mo>-</mo>
<msup>
<mi>k</mi>
<mn>2</mn>
</msup>
<mrow>
<mo>(</mo>
<mi>r</mi>
<mo>,</mo>
<mi>r</mi>
<mo>,</mo>
<mi>D</mi>
<mo>)</mo>
</mrow>
</mrow>
</mfrac>
<mi>E</mi>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>(</mo>
<mrow>
<mi>r</mi>
<mo>,</mo>
<mi>r</mi>
<mo>,</mo>
<mi>D</mi>
</mrow>
<mo>)</mo>
<mo>)</mo>
</mrow>
</mrow>
<mrow>
<msub>
<mi>F</mi>
<mn>2</mn>
</msub>
<mo>=</mo>
<mi>K</mi>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>(</mo>
<mrow>
<msup>
<msub>
<mi>r</mi>
<mi>T</mi>
</msub>
<mi>r</mi>
</msup>
<mo>,</mo>
<mi>r</mi>
<mo>,</mo>
<mi>D</mi>
</mrow>
<mo>)</mo>
<mo>)</mo>
</mrow>
<mo>-</mo>
<mfrac>
<mrow>
<mn>1</mn>
<mo>-</mo>
<mfrac>
<mn>1</mn>
<mn>2</mn>
</mfrac>
<msup>
<mi>k</mi>
<mn>2</mn>
</msup>
<mrow>
<mo>(</mo>
<msup>
<msub>
<mi>r</mi>
<mi>T</mi>
</msub>
<mi>r</mi>
</msup>
<mo>,</mo>
<mi>r</mi>
<mo>,</mo>
<mi>D</mi>
<mo>)</mo>
</mrow>
</mrow>
<mrow>
<mn>1</mn>
<mo>-</mo>
<msup>
<mi>k</mi>
<mn>2</mn>
</msup>
<mrow>
<mo>(</mo>
<msup>
<msub>
<mi>r</mi>
<mi>T</mi>
</msub>
<mi>r</mi>
</msup>
<mo>,</mo>
<mi>r</mi>
<mo>,</mo>
<mi>D</mi>
<mo>)</mo>
</mrow>
</mrow>
</mfrac>
<mi>E</mi>
<mrow>
<mo>(</mo>
<mi>k</mi>
<mo>(</mo>
<mrow>
<msup>
<msub>
<mi>r</mi>
<mi>T</mi>
</msub>
<mi>r</mi>
</msup>
<mo>,</mo>
<mi>r</mi>
<mo>,</mo>
<mi>D</mi>
</mrow>
<mo>)</mo>
<mo>)</mo>
</mrow>
</mrow>
According to the structure of the forward and reverse bridging coil of transmitting terminal and receiving terminal unidirectional coil, it is determined that transmitting terminal forward direction coil and reversely
After the radius of coil, the turn ratio of transmitting terminal forward direction coil and reverse winding is obtained；
Step 5: the number of turn of transmitting terminal forward direction coil and reverse winding is adjusted, according to formula
<mrow>
<mi>v</mi>
<mo>=</mo>
<mfrac>
<mrow>
<mi>M</mi>
<mrow>
<mo>(</mo>
<msub>
<mi>D</mi>
<mn>1</mn>
</msub>
<mo>)</mo>
</mrow>
<mo>-</mo>
<mi>M</mi>
<mrow>
<mo>(</mo>
<msub>
<mi>D</mi>
<mn>0</mn>
</msub>
<mo>)</mo>
</mrow>
</mrow>
<mrow>
<msub>
<mi>D</mi>
<mn>1</mn>
</msub>
<mo>-</mo>
<msub>
<mi>D</mi>
<mn>0</mn>
</msub>
</mrow>
</mfrac>
</mrow>
Determine the planarization of mutual inductance between the forward and reverse bridging coil of transmitting terminal and receiving coil with distance change curve, in formula, D0
For the initial distance between the forward and reverse bridging coil of transmitting terminal and receiving terminal unidirectional coil, D1For the forward and reverse bridging coil of transmitting terminal
When mutual inductance takes maximum between receiving terminal unidirectional coil between the forward and reverse bridging coil of transmitting terminal and receiving terminal unidirectional coil
Distance, v is smaller then to represent that mutual inductance is more flat with distance change curve, unidirectional according to the forward and reverse bridging coil of transmitting terminal and receiving terminal
Mutual inductance between coil determines the number of turn of transmitting terminal forward direction coil and reverse winding with the planarization of transmission range change curve,
To meet that optimal transmission is adjusted between radio energy transmission system, wherein choosing the forward and reverse bridging coil of transmitting terminal and receiving terminal list
To the mutual inductance between coil with the most flat corresponding transmitting terminal forward direction coil of transmission range change curve and the circle of reverse winding
Number is used as the optimal design number of turn；
Step 6: utilize tunable capacitor C1With tunable capacitor C2Respectively by the forward and reverse bridging coil of transmitting terminal and receiving terminal unidirectional line
Circle is tuned at working frequency used and completes to wait setting for radius electromagnetic resonant parallel power coil applied to wireless power transmission
Meter.
2. according to claim 1 wait radius electromagnetic resonant parallel power coil design method, it is characterised in that：It is described to connect
The radius r of receiving end unidirectional coilRWith number of turn nRSetting determined according to actual charge target；The forward and reverse bridging coil of transmitting terminal
Positive coil radius rT fWith receiving terminal unidirectional coil radius rRIt is equal, it is set as r, reverse winding radius rT rSetting according to signal
Source determines.
3. according to claim 1 wait radius electromagnetic resonant parallel power coil design method, it is characterised in that：The hair
Penetrate that to rectify to coil and reverse winding and receiving terminal unidirectional coil be that spiral circular coil, spiral square coil or spiral are oval
Shape coil.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201710709126.XA CN107370248B (en) | 2017-08-17 | 2017-08-17 | Design method of equal-radius electromagnetic resonance parallel power supply coil |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201710709126.XA CN107370248B (en) | 2017-08-17 | 2017-08-17 | Design method of equal-radius electromagnetic resonance parallel power supply coil |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN107370248A true CN107370248A (en) | 2017-11-21 |
| CN107370248B CN107370248B (en) | 2020-03-10 |
Family
ID=60309089
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201710709126.XA Active CN107370248B (en) | 2017-08-17 | 2017-08-17 | Design method of equal-radius electromagnetic resonance parallel power supply coil |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN107370248B (en) |
Cited By (6)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108599393A (en) * | 2018-05-03 | 2018-09-28 | 河南师范大学 | The equal length receiving coil design method that efficient radio can transmit |
| CN108682544A (en) * | 2018-05-03 | 2018-10-19 | 河南师范大学 | Wireless charging system transmitting coil optimum design method |
| CN109067015A (en) * | 2018-09-26 | 2018-12-21 | 上海楚山电子科技有限公司 | A kind of wireless power transmission method of self-adapting changeable receiving coil |
| CN109391045A (en) * | 2018-12-10 | 2019-02-26 | 江苏科技大学 | A kind of adaptive magnetic resonance energy transmitter of distance-frequency |
| WO2022052667A1 (en) * | 2020-09-09 | 2022-03-17 | 华为数字能源技术有限公司 | Wireless charging device, alignment method, system, and charging base |
| CN115857026A (en) * | 2022-12-21 | 2023-03-28 | 中国地质调查局地球物理调查中心 | Detection method |
Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20100244578A1 (en) * | 2009-03-31 | 2010-09-30 | Fujitsu Limited | Power transmmission apparatus, power transmission/reception apparatus, and method of transmitting power |
| CN103986245A (en) * | 2014-06-04 | 2014-08-13 | 中国矿业大学(北京) | Wireless electric energy transmission system and method based on double-layer two-way spiral coils |
| CN104135088A (en) * | 2014-08-08 | 2014-11-05 | 哈尔滨工业大学 | Non-identical transmitting and receiving coil pair applicable to wireless power transmission and capable of restraining frequency splitting and manufacturing method of non-identical transmitting and receiving coil pair |
-
2017
- 2017-08-17 CN CN201710709126.XA patent/CN107370248B/en active Active
Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US20100244578A1 (en) * | 2009-03-31 | 2010-09-30 | Fujitsu Limited | Power transmmission apparatus, power transmission/reception apparatus, and method of transmitting power |
| CN103986245A (en) * | 2014-06-04 | 2014-08-13 | 中国矿业大学(北京) | Wireless electric energy transmission system and method based on double-layer two-way spiral coils |
| CN104135088A (en) * | 2014-08-08 | 2014-11-05 | 哈尔滨工业大学 | Non-identical transmitting and receiving coil pair applicable to wireless power transmission and capable of restraining frequency splitting and manufacturing method of non-identical transmitting and receiving coil pair |
Non-Patent Citations (3)
| Title |
|---|
| WANG-SANG LEE等: "Contactless Energy Transfer Systems Using Antiparallel Resonant Loops", 《IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS》 * |
| YUE-LONG LYU等: "A Method of Using Nonidentical Resonant Coils for Frequency Splitting Elimination in Wireless Power Transfer", 《IEEE TRANSACTIONS ON POWER ELECTRONICS 》 * |
| 邱小辉等: "一种提高PCB线圈的近距离传输效率的方法", 《电气技术》 * |
Cited By (11)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN108599393A (en) * | 2018-05-03 | 2018-09-28 | 河南师范大学 | The equal length receiving coil design method that efficient radio can transmit |
| CN108682544A (en) * | 2018-05-03 | 2018-10-19 | 河南师范大学 | Wireless charging system transmitting coil optimum design method |
| CN108682544B (en) * | 2018-05-03 | 2020-06-19 | 河南师范大学 | Optimal design method for transmitting coil of wireless charging system |
| CN108599393B (en) * | 2018-05-03 | 2021-04-20 | 河南师范大学 | Design method of equal-length receiving coil for efficient wireless power transmission |
| CN109067015A (en) * | 2018-09-26 | 2018-12-21 | 上海楚山电子科技有限公司 | A kind of wireless power transmission method of self-adapting changeable receiving coil |
| CN109067015B (en) * | 2018-09-26 | 2021-11-12 | 苏州法拉第能源科技有限公司 | Wireless power transmission method of self-adaptive variable receiving coil |
| CN109391045A (en) * | 2018-12-10 | 2019-02-26 | 江苏科技大学 | A kind of adaptive magnetic resonance energy transmitter of distance-frequency |
| CN109391045B (en) * | 2018-12-10 | 2021-07-13 | 江苏科技大学 | Distance-frequency self-adaptive magnetic resonance energy transmitter |
| WO2022052667A1 (en) * | 2020-09-09 | 2022-03-17 | 华为数字能源技术有限公司 | Wireless charging device, alignment method, system, and charging base |
| CN115857026A (en) * | 2022-12-21 | 2023-03-28 | 中国地质调查局地球物理调查中心 | Detection method |
| CN115857026B (en) * | 2022-12-21 | 2024-03-15 | 中国地质调查局地球物理调查中心 | Detection method |
Also Published As
| Publication number | Publication date |
|---|---|
| CN107370248B (en) | 2020-03-10 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN107370248A (en) | Deng radius electromagnetic resonant parallel power coil design method | |
| CN103986245B (en) | Radio energy transmission system based on double-layer double-direction spiral winding and method | |
| CN107359705A (en) | A kind of asymmetric wireless power transmission systems and its electric power distribution | |
| CN103414261B (en) | Variable-coupling coefficient magnetic resonance wireless power transmission system and method | |
| CN104993614A (en) | Asymmetric wireless power transmission system with relay coil inserted therein, and method | |
| Fang et al. | Practical considerations of series-series and series-parallel compensation topologies in wireless power transfer system application | |
| CN103915907B (en) | Principal and subordinate is from coupling magnetic resonance wireless electric energy transmission device and method of operating thereof | |
| CN107482793A (en) | Suppress forward and reverse bridging coil design method of frequency splitting | |
| CN102510118A (en) | Wireless charging system | |
| CN204721105U (en) | Insert the asymmetric wireless power transmission systems of repeating coil | |
| CN212063636U (en) | Wireless power transmission device based on composite LCC compensation | |
| CN104036921A (en) | Magnetically-coupled resonant high-frequency air-core transformer | |
| CN110112837A (en) | The wireless power supply system of multi-emitting coils from parallel connection of coils power supply based on PT symmetry principle | |
| CN106208416A (en) | Electromagnetism chain type radio energy transmission system | |
| CN107579600A (en) | Deng radius resonance power coil design method | |
| CN111641274A (en) | Coupling mechanism applied to wireless power transmission system of electric automobile | |
| CN204012949U (en) | Radio energy transmission system based on double-layer double-direction helical coil | |
| CN107394901A (en) | Suppress the wireless power transmission coil design approaches of frequency splitting | |
| CN107482790A (en) | Efficiently positive wireless power supply system design method in parallel | |
| CN113675959B (en) | Antenna system for improving coupling strength of magnetic induction wireless charging receiving and transmitting end | |
| Santalunai et al. | An increasing the power transmission efficiency of flat spiral coils by using ferrite materials for wireless power transfer applications | |
| CN107546866A (en) | Positive bridging coil EMR electromagnetic resonance energy transmission system design method | |
| CN107546867B (en) | Magnetic coupling high efficiency electric energy transmits bridging coil design method | |
| CN106712319A (en) | Magnetic resonance type wireless charging circuit of electric automobile and control method of magnetic resonance type wireless charging circuit | |
| CN107508388B (en) | Design method of magnetic coupling resonance high-efficiency electric energy transmission coil |
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 |