CN107394901B - Inhibit the wireless power transmission coil design approaches of frequency splitting - Google Patents
Inhibit the wireless power transmission coil design approaches of frequency splitting Download PDFInfo
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- 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
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- H—ELECTRICITY
- H01—ELECTRIC ELEMENTS
- H01F—MAGNETS; INDUCTANCES; TRANSFORMERS; SELECTION OF MATERIALS FOR THEIR MAGNETIC PROPERTIES
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Abstract
The invention discloses a kind of wireless power transmission coil design approaches for inhibiting frequency splitting, belong to wireless power transmission equipment technical field.Technical solution of the present invention main points are as follows: receiving end unidirectional coil size is determined according to charge target, transmitting terminal forward direction coil and directional coils size are determined according to power supply；The turn ratio between transmitting terminal forward direction coil and reverse winding is determined according to mutual inductance formula, the number of turns of transmitting terminal forward direction coil and reverse winding is adjusted, suitable the number of turns is chosen with the planarization of transmission range change curve according to mutual inductance between the forward and reverse series coil of transmitting terminal and receiving end unidirectional coil；Then two tunable capacitor C are utilized1、C2The forward and reverse series coil of transmitting terminal and receiving end unidirectional coil are tuned at working frequency used.The present invention can effectively inhibit WPT/MRC in the generation of the frequency splitting phenomenon in overcoupling area using forward and reverse series coil as the transmitting end-coil of WPT/MRC system.
Description
Technical field
The invention belongs to wireless power transmission equipment technical fields, and in particular to a kind of radio energy for inhibiting frequency splitting
Transmission coil design method.
Background technique
Masschusetts, U.S.A Polytechnics scholar in 2007 transmits (wireless power using magnet coupled resonant type wireless electric energy
Transfer via magnetic resonant coupling, WPT/MRC) it is theoretical, successfully one is lighted in 2m distance
The light bulb of 60W, efficiency of transmission reach 50% or so.The theory shows in the middle Distance Transmission range (several centimetres to several meters),
Efficient energy transmission can be realized between coil by coupled resonance mode.Compared with induction type wireless power transmission mode,
Magnet coupled resonant type wireless electric energy transmission range is farther；Compared with microwave wireless energy transmission mode, magnet coupled resonant type wireless
Electric energy is transmitted without radiation.
In recent years, the hot spot that magnet coupled resonant type wireless electric energy transmission mode is always studied both at home and abroad.However, in magnetic
In coupled resonance formula wireless power transmission, when the distance between transmitting coil and receiving coil are less than some critical value, two lines
Circle is in overcoupling state, and acute variation occurs for the mutual inductance between coil, and system power efficiency of transmission also can sharply decline.At this point,
The received electric energy of coil is no longer maximum value at resonance frequency, but is reached at certain two Frequency point at resonant frequency point both ends
To peak value, this phenomenon is called frequency splitting.
It, can be using the methods of frequency-tracking, impedance matching, change loop construction in order to inhibit frequency splitting.Frequency with
Track technology is by additional high current detector, difference amplifier, phase compensator, locking phase coil in WPT/MRC system
The circuit of a series of complex is waited to realize the tracing control to launching circuit resonance frequency, and then inhibits frequency splitting.But this
A little additional circuits can make system become complicated, can also consume additional energy.Impedance matching methods are in WPT/MRC system
Inhibit frequency splitting using adjustable impedance matching network, but need inverter circuit, feed circuit, control circuit etc. according to biography
Defeated distance adjusts matching impedance.Further, it is also possible to inhibit frequency splitting by way of changing loop construction.This method
It is simple and easy convenient for operation without adding additional complexity circuit in systems.
Summary of the invention
The present invention is that while realizing in systems the not outer complicated circuit of plus, consumption excess energy, can effectively press down
The frequency splitting occurred in WPT/MRC processed provides a kind of wireless power transmission coil design approaches for inhibiting frequency splitting.
The present invention adopts the following technical scheme that solve above-mentioned technical problem, inhibits the wireless power transmission line of frequency splitting
Enclose design method, it is characterised in that device include signal generator, power amplifier, by inside and outside coaxial arrangement reversed phase coil and
The forward and reverse series coil of transmitting terminal, the receiving end unidirectional coil, tunable capacitor C of positive coil composition1, tunable capacitor C2And load,
Wherein confronting coaxial is arranged after prepared separation between the forward and reverse series coil of transmitting terminal and receiving end unidirectional coil, the signal hair
The signal output end of raw device and the signal input part of power amplifier connect, the positive output end and tunable capacitor of power amplifier
C1One end connection, tunable capacitor C1The other end connect with one end of positive coil, the other end and reverse winding of positive coil
One end connection, the negative sense output end of the other end of reverse winding and power amplifier connects, one end of the unidirectional coil with
The positive input of load connects, the other end and tunable capacitor C of unidirectional coil2One end connection, tunable capacitor C2The other end
It is connect with the negative input of load；
Specific design process are as follows: the size of receiving end unidirectional coil is determined i.e. according to the size of charge target in practical application
The radius and the number of turns of receiving end unidirectional coil；The radius of transmitting terminal forward direction coil and reverse winding is determined by driving source；According to mutual
Sense formula determines the turn ratio between transmitting terminal forward direction coil and reverse winding, wherein set the radius of receiving end unidirectional coil as
rR, the number of turns nR, the radius of the positive coil of the forward and reverse series coil of transmitting terminal is set as rT f, the radius of reverse winding is rT r,
Pass through the mutual inductance formula between two single turn circular coils:
Find out the mutual inductance between the forward and reverse series coil of transmitting terminal and receiving end unidirectional coil:
In formula, μ0For space permeability, r1And r2It is the radius of two single turn circular coils respectively, d is between two single turn circular coils
Distance, K (k) and E (k) are the first kind and elliptic integral of the second kind respectively；nT fAnd nT rIt is transmitting terminal forward direction coil respectively and reversed
The number of turns of coil, nRIt is the number of turns of receiving end unidirectional coil, rT fAnd rT rIt is the half of transmitting terminal forward direction coil and reverse winding respectively
Diameter, rRIt is the radius of receiving end unidirectional coil, DijIt is the i-th circle and receiving end unidirectional line of transmitting terminal forward direction coil or reverse winding
The distance between jth circle of circle, D be transmitting terminal forward direction coil or reverse winding central point and receiving end unidirectional coil central point it
Between distance；
By seeking differential of the M (D) about D, formula is obtained:
According to the structure of transmitting terminal forward and reverse series coil and receiving end unidirectional coil, determine transmitting terminal forward direction coil and
The turn ratio of transmitting terminal forward direction coil and reverse winding is found out after the radius of reverse winding；According to the forward and reverse series coil of transmitting terminal
Mutual inductance between the unidirectional coil of receiving end determines transmitting terminal forward direction coil and anti-with the planarization of transmission range change curve
To the number of turns of coil, adjusted with meeting optimal transmission between radio energy transmission system, wherein choosing the forward and reverse series connection of transmitting terminal
Mutual inductance between coil and receiving end unidirectional coil is with the most flat corresponding transmitting terminal forward direction coil of transmission range change curve
The number of turns with reverse winding is as optimal design the number of turns；Then tunable capacitor C is utilized1With tunable capacitor C2Transmitting terminal is forward and reverse
Series coil and receiving end unidirectional coil are tuned at working frequency used and complete to divide for the inhibition frequency of wireless power transmission
The design of the forward and reverse series coil of the transmitting terminal split.
Further preferably, the transmitting terminal forward direction coil and reverse winding and receiving end unidirectional coil are spiral round wire
Circle, spiral square coil or spiral oval coil.
Further preferably, the specific determination process of the number of turns of the transmitting terminal forward direction coil and reverse winding are as follows: find out first
The frequency split point position D when positive coil is separately as transmitting coilS, by D=D1=DS/ 2 bring turn ratio formula into, can be with
Find out the number of turns of reverse winding.
The number of turns of reverse winding is changed, according to formula:
Determine that mutual inductance is with the flat of distance change curve between the forward and reverse series coil of transmitting terminal and receiving end unidirectional coil
Degree, v is smaller, indicates that mutual inductance is more flat with distance change curve；It can be concluded that, found out by formula by a series of comparisons
Reverse winding the number of turns be optimal value.In formula, D0For in the forward and reverse series coil central point of transmitting terminal and receiving end unidirectional coil
Initial distance between heart point, D1When mutual inductance is maximized between the forward and reverse series coil of transmitting terminal and receiving end unidirectional coil
The distance between the forward and reverse series coil central point of transmitting terminal and receiving end unidirectional coil central point.
Further preferably, the receiving end unidirectional coil radius rRWith the number of turns nREstablished standards according to practical charge target
It determines；Transmitting terminal forward direction coil radius rT fWith reverse winding radius rT rEstablished standards according to signal source determine.
The invention has the following advantages: the present invention uses transmitting of forward and reverse series coil as WPT/MRC system
End-coil can effectively inhibit WPT/MRC in the generation of the frequency splitting phenomenon in overcoupling area.
Detailed description of the invention
Fig. 1 is the structural schematic diagram of WPT/MRC system；
Fig. 2 is the equivalent circuit diagram of WPT/MRC system；
Fig. 3 is that mutual inductance is bent with the variation of transmission range between the forward and reverse series coil of transmitting terminal and receiving end unidirectional coil
Line；
Fig. 4 is the optimal design schematic diagram chosen.
Specific embodiment
Above content of the invention is described in further details by the following examples, but this should not be interpreted as to this
The range for inventing above-mentioned theme is only limitted to embodiment below, and all technologies realized based on above content of the present invention belong to this hair
Bright range.
Embodiment
Inhibit the wireless power transmission coil design approaches of frequency splitting, it is realized by following steps:
The differential concatenation coil Step 1: WPT/MRC system transmitting terminal is positive, i.e., forward and reverse series coil is as emission lines
Circle, receiving end is unidirectional coil, i.e., unidirectional coil is as receiving coil；Forward and reverse series coil is by positive coil and reverse winding
Composition, portion, reverse winding are embedded in positive coil inside, flow through the current direction of positive coil and reverse winding positive coil outside
On the contrary；Positive coil, reverse winding and unidirectional coil are spiral circular coil；By the forward and reverse series coil of transmitting terminal and reception
Unidirectional coil coaxial placement is held, and sets the radius of receiving end unidirectional coil as rR, the number of turns nR, set transmitting terminal forward direction coil
Radius be rT f, the radius of reverse winding is rT r；
Step 2: passing through the mutual inductance formula between two single turn circular coils:
Obtain the mutual inductance between transmitting terminal forward direction coil and receiving end unidirectional coil:
Mutual inductance between transmitting terminal reverse winding and receiving end unidirectional coil:
Then the mutual inductance between the forward and reverse series coil of transmitting terminal and receiving end unidirectional coil is obtained:
In formula, μ0For space permeability (4 π × 10-7H/m), r1And r2It is the radius of two single turn circular coils respectively, d is two single
Distance between circle circular coil, K (k) and E (k) are the first kind and elliptic integral of the second kind respectively；nT fAnd nT rIt is that transmitting is rectified respectively
To the number of turns of coil and reverse winding, nRIt is the number of turns of receiving end unidirectional coil, rT fAnd rT rBe respectively transmitting terminal forward direction coil and
The radius of reverse winding, rRIt is receiving end unidirectional coil radius, DijIt is the i-th circle of transmitting terminal forward direction coil or reverse winding and connects
The distance between jth circle of receiving end unidirectional coil, D are transmitting terminal forward direction coil or reverse winding central point and receiving end unidirectional line
The distance between circle center point；
Step 3: obtaining formula by seeking differential of the M (D) about D:
Find out the frequency split point position D when positive coil is separately as transmitting coilS, by D=D1=DS/ 2 bring into
Formula can find out the number of turns of reverse winding.
Step 4: the number of turns to reverse winding changes, according to formula
Determine that mutual inductance is with the flat of distance change curve between the forward and reverse series coil of transmitting terminal and receiving end unidirectional coil
Degree, v is smaller, indicates that mutual inductance is more flat with distance change curve；It can be concluded that, found out by formula by a series of comparisons
Reverse winding the number of turns be optimal value.
In formula, D0Between the forward and reverse series coil central point of transmitting terminal and receiving end unidirectional coil central point it is initial away from
From D1When being maximized for mutual inductance between the forward and reverse series coil central point of transmitting terminal and receiving end unidirectional coil central point away from
From；
Step 5: utilizing two tunable capacitor C1、C2Respectively by the forward and reverse series coil of transmitting terminal and receiving end unidirectional coil
It is tuned at working frequency used and completes the forward and reverse series coil that can inhibit frequency splitting for being applied to wireless power transmission
Manufacture.
The receiving end unidirectional coil radius rRWith the number of turns nREstablished standards according to practical charge target determine；Transmitting terminal
Positive coil radius rT fWith reverse winding radius rT rEstablished standards according to signal source determine.
The transmitting terminal forward direction coil turn nT fWith reverse winding the number of turns nT rSetting method be forward and reverse according to transmitting terminal
What the mutual inductance between series coil and receiving end unidirectional coil was determined with the planarization of transmission range change curve.
The WPT/MRC system includes signal generator, power amplifier, the reversed phase coil and just by inside and outside coaxial arrangement
The forward and reverse series coil of transmitting terminal, the receiving end unidirectional coil, tunable capacitor C formed to coil1, tunable capacitor C2And load,
Confronting coaxial is arranged after prepared separation between the forward and reverse series coil of middle transmitting terminal and receiving end unidirectional coil, and the signal occurs
The signal output end of device and the signal input part of power amplifier connect, the positive output end and tunable capacitor C of power amplifier1
One end connection, tunable capacitor C1The other end connect with one end of positive coil, the other end and reverse winding of positive coil
One end connection, the negative sense output end of the other end of reverse winding and power amplifier connects, one end of the unidirectional coil with
The positive input of load connects, the other end and tunable capacitor C of unidirectional coil2One end connection, tunable capacitor C2The other end
It is connect with the negative input of load.
WPT/MRC system structure is rectified by emitting as shown in Figure 1, signal is generated from signal generator through power amplifier
Differential concatenation coil transmissions are received by receiving end unidirectional coil, and pass to load.
Dispatch coil model shown in Fig. 1, each coil have an inductance, all exist between each turn coil and divide
Cloth capacitor, if not additional capacitor, the coil are then referred to as " self-resonant coil ".There is the electricity of plain conductor on coil
Resistance, since resistance value is smaller, can be ignored in theory deduction (even RT=RR=0) it, is derived in order to simplify.If line
Circle self-resonant frequency be unsatisfactory for actual requirement, then can it is additional inductively or capacitively.For ordinary circumstance, system operating frequency
Below coil self-resonant frequency, therefore only need a capacitor of directly connecting at coil port.
Fig. 2 is the equivalent circuit of WPT/MRC system, is coupled and is interacted by magnetic field resonance between coil, this coupling
The intensity of conjunction is measured with mutual inductance M.
Transmission coefficient S can be used according to the transmission characteristic of magnet coupled resonant type wireless energy transmission system21It indicates, transmits
Efficiency is indicated with η.
η=| S21|2× 100% (2)
When system works in coil resonance frequency, transmission coefficient S21It can simplify as (3) formula:
The transmission coefficient S it can be seen from formula (3)21It is the function about 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.
Use positive coil as transmitting coil, realizes that gentle mutual inductance becomes by changing radius and the number of turns of positive coil
The effect of change is simultaneously bad.Therefore, reverse winding can be introduced in transmitting terminal to inhibit positive coil and unidirectional coil in short distance
Between violent mutual inductance variation.
Mutual inductance between two coaxial single turn circular coils can be indicated with formula (4):
Wherein, μ0For space permeability (4 π × 10-7H/m), r1And r2It is the radius of two single turn circular coils respectively, d is two single
Distance between circle circular coil, K (k) and E (k) are the first kind and elliptic integral of the second kind respectively.
Then the mutual inductance between transmitting terminal forward direction coil and receiving end unidirectional coil can be indicated with formula (5):
Wherein, nT fIt is the number of turns of transmitting terminal forward direction coil, nRIt is the number of turns of receiving end unidirectional coil, rT fIt is transmitting terminal forward direction
The radius of coil, rRIt is the radius of receiving end unidirectional coil, DijIt is the i-th circle and receiving end unidirectional coil of transmitting terminal forward direction coil
The distance between jth circle, D is the distance between transmitting terminal forward direction hub of a spool point and receiving end unidirectional coil central point.
Mutual inductance between transmitting terminal reverse winding and receiving end unidirectional coil can be indicated with formula (6):
In formula, nT rIt is the number of turns of transmitting terminal reverse winding, nRIt is the number of turns of receiving end unidirectional coil, rT rIt is that transmitting terminal is reversed
The radius of coil, rRIt is the radius of receiving end unidirectional coil, DijIt is the i-th circle and receiving end unidirectional coil of transmitting terminal reverse winding
The distance between jth circle, D is the distance between transmitting terminal reverse winding central point and receiving end unidirectional coil central point.
Mutual inductance between the forward and reverse series coil of transmitting terminal and receiving end unidirectional coil can be indicated with formula (7):
The mutual inductance being illustrated in figure 3 between the forward and reverse series coil of transmitting terminal and receiving end unidirectional coil becomes with transmission range
Change curve.
Formula (8) are obtained by the differential to formula (7):
The turn ratio of transmitting terminal forward direction coil and reverse winding is found out.
Find out the frequency split point position D when positive coil is separately as transmitting coilS, by D=D1=DS/ 2 bring into
Formula can find out the number of turns of reverse winding.
The number of turns of reverse winding is changed, according to formula (9):
In formula, D0Between the forward and reverse series coil central point of transmitting terminal and receiving end unidirectional coil central point it is initial away from
From D1The forward and reverse series coil central point of transmitting terminal and receiving end unidirectional coil central point when mutual inductance is maximized between two coils
Between distance.
Determine that mutual inductance is with the flat of distance change curve between the forward and reverse series coil of transmitting terminal and receiving end unidirectional coil
Degree, v is smaller, indicates that mutual inductance is more flat with distance change curve；It can be concluded that, found out by formula by a series of comparisons
Reverse winding the number of turns be optimal value.As shown in Figure 4.WPT/MRC system of forward and reverse series coil as transmitting coil, due to
The presence of reverse winding inhibits the acute variation of mutual inductance between positive coil and receiving end unidirectional coil, hinders frequency splitting existing
The generation of elephant.
Frequency splitting suppressing method proposed by the invention is not only effective to circular coil, for the transmitting-receiving line of other shapes
Circle, it is equally applicable such as square coil, ellipse.It is excellent that key point is how to carry out transmitting terminal forward direction coil and reverse winding
Change design, except that needing to choose corresponding mutual inductance calculation formula according to different coil shapes.It is multiple for shape
Miscellaneous coil, mutual inductance be difficult to accurately calculate, then the calculating and parameter of mutual inductance can be carried out by numerical simulation
Optimization.
The to sum up manufacturing method of the forward and reverse series coil of transmitting terminal, can be summarized as following design procedure:
1, receiving end unidirectional coil size is determined according to charge target, transmitting terminal forward direction coil and direction is determined according to power supply
Coil size；
2, the mutual inductance between the forward and reverse series coil of transmitting terminal and receiving end unidirectional coil is found out, that is, (7) are found out, by right
(7) differential obtains (8), finds out the turn ratio of positive coil and reverse winding, to transmitting terminal forward direction coil and reverse winding
The number of turns is adjusted, and changes song with transmission range according to mutual inductance between the forward and reverse series coil of transmitting terminal and receiving end unidirectional coil
The planarization of line chooses suitable the number of turns；
3, two tunable capacitor C are then utilized1、C2The forward and reverse series coil of transmitting terminal and receiving end unidirectional coil are tuned
In working frequency used.
By theoretical calculation it is found that forward and reverse series coil can effectively inhibit as the WPT/MRC system of transmitting coil
The generation of frequency splitting phenomenon, and WPT/MRC system can be made expeditiously to carry out energy transmission in short distance.
Embodiment above describes basic principles and main features of the invention and advantage, the technical staff of the industry should
Understand, the present invention is not limited to the above embodiments, and the above embodiments and description only describe originals of the invention
Reason, under the range for not departing from the principle of the invention, various changes and improvements may be made to the invention, these changes and improvements are each fallen within
In the scope of protection of the invention.
Claims (2)
1. inhibiting the wireless power transmission coil design approaches of frequency splitting, it is characterised in that: device includes signal generator, function
Rate amplifier, the forward and reverse series coil of transmitting terminal being made of the reversed phase coil and positive coil of inside and outside coaxial arrangement, receiving end
Unidirectional coil, tunable capacitor C1, tunable capacitor C2And load, the wherein forward and reverse series coil of transmitting terminal and receiving end unidirectional coil
Between after prepared separation confronting coaxial be arranged, the signal output end of the signal generator and the signal input part of power amplifier
Connection, the positive output end and tunable capacitor C of power amplifier1One end connection, tunable capacitor C1The other end and positive coil
One end connection, one end of the other end of positive coil and reverse winding connects, the other end and power amplifier of reverse winding
The connection of negative sense output end, the positive input of one end of the unidirectional coil and load connects, the other end of unidirectional coil with
Tunable capacitor C2One end connection, tunable capacitor C2The other end and load negative input connect, the transmitting terminal positive line
Circle and reverse winding and receiving end unidirectional coil are spiral circular coil, spiral square coil or spiral oval coil；
Specific design process are as follows: determine that the size of receiving end unidirectional coil receives according to the size of charge target in practical application
Hold the radius and the number of turns of unidirectional coil；The radius of transmitting terminal forward direction coil and reverse winding is determined by driving source；According to mutual inductance public affairs
Formula determines the turn ratio between transmitting terminal forward direction coil and reverse winding, wherein setting the radius of receiving end unidirectional coil as rR,
The number of turns is nR, the radius of the positive coil of the forward and reverse series coil of transmitting terminal is set as rT f, the radius of reverse winding is rT r, pass through
Mutual inductance formula between two single turn circular coils:
Find out the mutual inductance between the forward and reverse series coil of transmitting terminal and receiving end unidirectional coil:
In formula, μ0For space permeability, r1And r2The radius of two single turn circular coils respectively, d between two single turn circular coils away from
From K (k) and E (k) are the first kind and elliptic integral of the second kind respectively；nT fAnd nT rIt is transmitting terminal forward direction coil and reverse line respectively
The number of turns of circle, nRIt is the number of turns of receiving end unidirectional coil, rT fAnd rT rIt is the radius of transmitting terminal forward direction coil and reverse winding respectively,
rRIt is the radius of receiving end unidirectional coil, DijIt is the i-th circle and receiving end unidirectional coil of transmitting terminal forward direction coil or reverse winding
The distance between jth circle, D is between transmitting terminal forward direction coil or reverse winding central point and receiving end unidirectional coil central point
Distance；
By seeking differential of the M (D) about D, formula is obtained:
According to the structure of transmitting terminal forward and reverse series coil and receiving end unidirectional coil, transmitting terminal forward direction coil and reversed is being determined
The turn ratio of transmitting terminal forward direction coil and reverse winding is found out after the radius of coil；According to the forward and reverse series coil of transmitting terminal and connect
Mutual inductance between receiving end unidirectional coil determines transmitting terminal forward direction coil and reverse line with the planarization of transmission range change curve
The number of turns of circle is adjusted with meeting optimal transmission between radio energy transmission system, wherein choosing the forward and reverse series coil of transmitting terminal
Mutual inductance between the unidirectional coil of receiving end is with the most flat corresponding transmitting terminal forward direction coil of transmission range change curve and anti-
To coil the number of turns as optimal design the number of turns；Then tunable capacitor C is utilized1With tunable capacitor C2By the forward and reverse series connection of transmitting terminal
Coil and receiving end unidirectional coil are tuned at working frequency used and complete the inhibition frequency splitting for being used for wireless power transmission
The design of the forward and reverse series coil of transmitting terminal；
The specific determination process of the number of turns of the transmitting terminal forward direction coil and reverse winding are as follows: found out first when positive coil is individually made
Frequency split point position D when for transmitting coilS, by D=D1=DS/ 2 bring turn ratio formula into, can find out the circle of reverse winding
Number,
The number of turns of reverse winding is changed, according to formula:
Determine mutual inductance between the forward and reverse series coil of transmitting terminal and receiving end unidirectional coil with the planarization of distance change curve,
V is smaller, indicates that mutual inductance is more flat with distance change curve；It can be concluded that, found out by formula reversed by a series of comparisons
Coil turn is optimal value, in formula, D0For the forward and reverse series coil central point of transmitting terminal and receiving end unidirectional coil central point it
Between initial distance, D1Transmitting terminal when mutual inductance is maximized between the forward and reverse series coil of transmitting terminal and receiving end unidirectional coil
The distance between forward and reverse series coil central point and receiving end unidirectional coil central point.
2. the wireless power transmission coil design approaches according to claim 1 for inhibiting frequency splitting, it is characterised in that: institute
State receiving end unidirectional coil radius rRWith the number of turns nREstablished standards according to practical charge target determine；Transmitting terminal forward direction coil half
Diameter rT fWith reverse winding radius rT rEstablished standards according to signal source determine.
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| DE102018200911A1 (en) * | 2018-01-22 | 2019-07-25 | Robert Bosch Gmbh | Apparatus for the wireless transmission of electrical energy, method for the production |
| CN108879986B (en) * | 2018-07-24 | 2020-06-26 | 重庆大学 | Parameter design method for single-relay wireless power transmission system |
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