CN107482790B - Efficiently positive wireless power supply system design method in parallel - Google Patents
Efficiently positive wireless power supply system design method in parallel 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
- H01F38/00—Adaptations of transformers or inductances for specific applications or functions
- H01F38/14—Inductive couplings
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Abstract
The invention discloses efficient positive wireless power supply system design methods in parallel, are related to a kind of manufacturing method of free switching between double forward direction parallel resonance coils applied to wireless power transmission and single positive resonance coil.Mainly when solving radio energy transmission system short distance energy transmission, due to frequency splitting influence and the problem that causes system efficiency of transmission low, and be able to maintain efficiency of transmission of the system in remote energy transmission.Devise a kind of transmitting coil of double-deck coiling, there is certain the number of turns Inside coil with same direction coiling in the inner space of the unidirectional coiling transmitting coil of original single layer, make external coil and Inside coil " head is connected, and tail tail is connected " group positive parallel-connection structure in pairs.It is connected between Inside coil and external coil by a switch, so that free switching between double forward direction parallel resonance coils and single positive resonance coil.When short distance energy transmission, closure switch, double forward direction bridging coils inhibit frequency splitting as transmitting coil；When remote energy transmission, switch is disconnected, Dan Zhengxiang coil ensures efficiency of transmission as transmitting coil.
Description
Technical field
The present invention relates to efficient positive wireless power supply system design methods in parallel.
Background technique
In recent years, magnet coupled resonant type wireless electric energy transmits (wireless power transfer via magnetic
Resonant coupling, WPT/MRC) technology be constantly in flourish among, still, technique but fails veritably
Spread in smart machine, a big reason therein be exactly magnet coupled resonant type wireless electric energy transmission system efficiency of transmission with
It is very violent that transmission range changes variation.
Research find when radio energy transmission system be in it is very close apart from when, the efficiency of transmission of system is in resonance frequency
Two sides obtain maximum value, that is, frequency splitting phenomenon occur；With the increase of distance, frequency splitting phenomenon fades away, when reaching
When at a certain distance, the efficiency of transmission of system obtains maximum value at resonance frequency；With further increasing for transmission range,
The efficiency of transmission of system can sharply decline, but the efficiency of transmission of system still reaches maximum at resonance frequency, is frequency splitting
When being only present in short range transmission.
In conclusion system, only when distance be in a certain fixed value between dispatch coil, efficiency of transmission reaches maximum.Transmission
When distance is less than this value, system meeting occurrence frequency division, so that efficiency of transmission decline of the system at resonance frequency, only
Maximum value is obtained in resonance frequency two sides.
Currently, in order to inhibit frequency splitting, it can be using the methods of impedance matching, frequency-tracking, change loop construction.Resistance
Anti- matching technique be by transmitting terminal introduce coil carry out magnetic induction couple feed, by mechanically change the coupling coil with
Regulating system impedance matching is carried out in relative position between resonance coil.The technical operation is complicated, constant application.Technology of frequency tracking is
The a series of complex such as additional high current detector, difference amplifier, phase compensator, locking phase coil in WPT/MRC system
Circuit realize the tracing control to launching circuit resonance frequency, and then inhibit frequency splitting.But these additional circuits
System can be made to become complicated, can also consume additional energy.Further, it is also possible to inhibit frequency by way of the structure for changing coil
Rate division.For example reverse winding is introduced on resonance coil, too strong coupling is offset, can be very good to inhibit frequency splitting, but
It is that the technology is also reduced in the stiffness of coupling compared with distant location, reduces efficiency of the system in remote transmission.Therefore it needs
A kind of relatively good method is wanted to inhibit frequency splitting, while the efficiency that safeguards system is transmitted at a distance.
Summary of the invention
While the present invention is to realize in systems complicated circuit outside not plus, consumption excess energy, Neng Gouyou
Effect inhibits the frequency splitting occurred in WPT/MRC, and can guarantee efficiency of transmission of system when remote, to provide one
The efficiently positive wireless power supply system design method in parallel of kind.
Efficiently positive wireless power supply system design method in parallel, it is realized by following steps；
Step 1: WPT/MRC system transmitting terminal is double positive bridging coils, i.e., double positive bridging coils are as emission lines
Circle；Receiving end is unidirectional coil, i.e., unidirectional coil is as receiving coil；Double forward direction bridging coils are identical by two direction of windings,
The different coil of radius " head is connected, and tail tail is connected " composes in parallel；The small coil of the radius coil inside big embedded in radius；It connects
Take-up circle is unidirectional coil, and direction of winding and two positive bridging coils are consistent；All coils are circular spiral coil；It will hair
The double positive bridging coils in end and receiving end unidirectional coil coaxial placement are penetrated, and sets the radius of receiving end unidirectional coil as rR, circle
Number is nR, two coil radius of setting transmitting terminal group positive bridging coil in pairs are respectively rT 1And rT 2, wherein rT 1> rT 2；
Step 2: self-induction of loop formula are as follows:
In formula, μ0For space permeability (4 π × 10-7H/m), r is coil radius, and n is coil turn, and a is wire radius.
Mutual inductance formula between two single turn circular coils are as follows:
In formula, r1, r2It is the radius of two single turn circular coils, distance of the d between two single turn circular coils, K (k) and E (k) respectively
It is the first kind and elliptic integral of the second kind respectively.
The self-induction for finding out transmitting terminal two positive coils is respectively as follows:
In formula, rT 1And rT 2It is the radius of two positive coils, n respectivelyT 1And nT 2The number of turns of respectively two positive coils, a
For the radius of conducting wire.
Mutual inductance between transmitting terminal two positive coils and receiving end unidirectional coil is respectively as follows:
The mutual inductance between the double positive bridging coils of transmitting terminal and receiving end unidirectional coil is found out according to Circuit theory are as follows:
In formula, nT 1And nT 2It is the number of turns of transmitting terminal two positive coils, n respectivelyRIt is receiving end unidirectional coil the number of turns, rT 1
And rT 2It is the radius of transmitting terminal two positive coils, r respectivelyRIt is then receiving end unidirectional coil radius, D is two forward directions of transmitting terminal
The distance between coil and receiving end unidirectional coil central point；LT 1And LT 2It is the self-induction of transmitting terminal two positive coils respectively；M12
It is the mutual inductance between transmitting terminal two positive coils；M1(D) and M2It (D) is transmitting terminal two positive coils and receiving coil respectively
Between mutual inductance.
Step 3: obtaining formula by seeking differential of the M (D) about D:
According to the structure of double positive bridging coils and unidirectional coil, after the radius for determining transmitting terminal two positive coils,
The turn ratio of two positive coils can be found out.
Step 4: the number of turns of two positive coils is adjusted, according to formula:
Determine that mutual inductance is with the flat of distance change curve between the double positive bridging coils of transmitting terminal and receiving end unidirectional coil
Degree, v is smaller, indicates that mutual inductance is more flat with distance change curve；After comprehensively considering, show that two positive coils optimize the number of turns
Respectively nT 1And nT 2。
In formula, D0For the initial distance between the double positive bridging coils of transmitting terminal and receiving end unidirectional coil, D1For two coils
Between mutual inductance to be maximized be distance between two coils.
It is reached Step 5: finding out single positive coil (radius is big) as the WPT/MRC system efficiency of transmission of transmitting coil
Distance when to highest, between dispatch coil are as follows:
Wherein a is wire radius, μ0For space permeability (4 π × 10-7H/m), ω is angular frequency, and σ is magnetic conductivity, rT 1For
The radius of transmitting terminal forward direction coil, rRIt is then receiving end unidirectional coil radius.
Step 6: when transmission range is less than DmWhen, use double positive bridging coils as the emission lines of WPT/MRC system
Circle, for inhibiting frequency splitting, realizes the high-efficiency transfer of system；When transmission range is greater than DmWhen, it is lesser just to disconnect radius
To coil, transmitting coil of the biggish positive coil of actionradius as WPT/MRC system keeps the transmission of system high efficiency rate.
Step 7: dispatch coil is tuned at working frequency used respectively using two tunable capacitors, complete efficiently positive
Wireless power supply system design method in parallel.
The radius r of receiving end unidirectional coilRWith the number of turns nREstablished standards according to practical charge target determine；Composition transmitting
The radius r of two positive coils of the double positive bridging coils in endT 1And rT 2Established standards according to signal source determine.
Form two positive coil turn n of the double forward and reverse bridging coils of transmitting terminalT 1And nT 2Setting method be according to hair
The mutual inductance penetrated between the double positive bridging coils in end and receiving end unidirectional coil is determined with the planarization of transmission range change curve.
Positive bridging coil EMR electromagnetic resonance energy transmission system design method, it includes transmitting coil (by two positive lines
Double positive bridging coils of circle composition), receiving coil (unidirectional coil), tunable capacitor C1With tunable capacitor C2；The coil is
Spiral circular coil.
The signal output end of signal generator and the signal input part of power amplifier connect；The power amplifier is just
To output terminal and tunable capacitor C1One end connection；The tunable capacitor C1Other end one end with two positive coils respectively
Connection；Described two positive coils " head is connected, and tail tail is connected "；The other end of the biggish positive coil of the radius is put with power
The negative sense output terminal connection of big device；The other end of the lesser positive coil of the radius is connect with one end of switch g；It is described to open
The negative sense output terminal of the other end and power amplifier that close g connects；
The double positive bridging coil of the transmitting terminal and receiving end unidirectional coil confronting coaxial are placed, and two hub of a spools point it
Between distance be D, D is positive number, and positive input of one end of the receiving end unidirectional coil and load connects；The reception
Hold the other end and tunable capacitor C of unidirectional coil2One end connection, the tunable capacitor C2The other end and load negative end
Son connection.
It is that the present invention obtains the utility model has the advantages that it is double forward direction bridging coils in short distance energy transmission as WPT/MRC system
Transmitting coil can effectively inhibit the generation of WPT/MRC frequency splitting phenomenon；Single forward direction coil is in remote energy transmission
Transmitting coil as WPT/MRC system can guarantee that system high efficiency rate is transmitted.
Detailed description of the invention
Fig. 1 is WPT/MRC system structure diagram；
Fig. 2 is the equivalent circuit diagram of WPT/MRC system；
Fig. 3 is the double positive bridging coils of transmitting terminal and receiving end unidirectional coil structural schematic diagram；
Fig. 4 be the positive bridging coil of Dan Zhengxiang/bis- as transmitting coil radio energy transmission system efficiency of transmission humorous
With the emulation schematic diagram of dispatch coil distance change at vibration frequency；
Double forward direction bridging coils are as transmitting coil when Fig. 5 is short distance, and single forward direction coil is as emission lines when remote
The radio energy transmission system efficiency of transmission of circle with distance change between dispatch coil emulation schematic diagram.
Specific embodiment
Below in conjunction with attached drawing, efficient positive wireless power supply system design method in parallel is illustrated.
Fig. 1 is WPT/MRC system structure diagram.
As shown in Figure 1, WPT/MRC system includes signalling generator, power amplifier, transmitting coil (by two forward directions
Double positive bridging coils of coil composition), receiving coil (unidirectional coil), tunable capacitor C1With tunable capacitor C2And load.
Fig. 2 is the equivalent circuit diagram of WPT/MRC system.
As shown in Fig. 2, transmitting terminal two positive coil inductances are respectively Lt 1And Lt 2, receiving end unidirectional coil inductance is Lr；
Mutual inductance between two positive coils is M12；Mutual inductance between two positive coils and receiving end unidirectional coil is respectively M1(D)
And M2(D)；After equivalent, the inductance of the double positive bridging coils of transmitting terminal is Lt, transmitting terminal and the mutual inductance received between end-coil are
M(D)。
Fig. 3 is the double positive bridging coils of transmitting terminal and receiving end unidirectional coil structural schematic diagram.
As shown in figure 3, transmitting terminal is double positive bridging coils, receiving end is unidirectional coil.Double forward direction bridging coils are by two
A forward direction coil composition, the direction of winding of two positive coils is identical, " head is connected, and tail tail is connected " group positive parallel wire in pairs
Circle；The direction of winding of the direction of winding of receiving end unidirectional coil and two positive coils is identical, and the coil is round screw thread
Coil.
Self-induction of loop formula are as follows:
In formula, μ0For space permeability (4 π × 10-7H/m), r is coil radius, and n is coil turn, and a is wire radius.
Mutual inductance formula between two single turn circular coils are as follows:
In formula, r1, r2It is the radius of two single turn circular coils, distance of the d between two single turn circular coils, K (k) and E (k) respectively
It is the first kind and elliptic integral of the second kind respectively.
The self-induction for finding out transmitting terminal two positive coils is respectively as follows:
In formula, rT 1And rT 2It is the radius of two positive coils, n respectivelyT 1And nT 2The number of turns of respectively two positive coils, a
For the radius of conducting wire.
Mutual inductance between transmitting terminal two positive coils and receiving end unidirectional coil is respectively as follows:
According to fig. 2 and Circuit theory finds out the mutual inductance between the double positive bridging coils of transmitting terminal and receiving end unidirectional coil
Are as follows:
In formula, nT 1And nT 2It is the number of turns of transmitting terminal two positive coils, n respectivelyRIt is receiving end unidirectional coil the number of turns, rT 1
And rT 2It is the radius of transmitting terminal two positive coils, r respectivelyRIt is then receiving end unidirectional coil radius, D is two forward directions of transmitting terminal
The distance between coil and receiving end unidirectional coil central point；LT 1And LT 2It is the self-induction of transmitting terminal two positive coils respectively；M12
It is the mutual inductance between transmitting terminal two positive coils；M1(D) and M2It (D) is transmitting terminal two positive coils and receiving coil respectively
Between mutual inductance.
Formula (6) are obtained by the differential to formula (5):
Wherein:
According to the structure of double positive bridging coils and unidirectional coil, after the radius for determining transmitting terminal two positive coils,
The turn ratio of two positive coils can be found out.
The number of turns of two positive coils is adjusted, according to formula:
Determine that mutual inductance is with the flat of distance change curve between the double positive bridging coils of transmitting terminal and receiving end unidirectional coil
Degree, v is smaller, indicates that mutual inductance is more flat with distance change curve；After comprehensively considering, show that two positive coils optimize the number of turns
Respectively nT 1And nT 2。
In formula, D0For the initial distance between the double positive bridging coils of transmitting terminal and receiving end unidirectional coil, D1For two coils
Between mutual inductance to be maximized be distance between two coils.
Single positive coil (radius is big) is found out as the WPT/MRC system efficiency of transmission of transmitting coil and reaches highest
When, the distance between dispatch coil are as follows:
Wherein a is wire radius, μ0For space permeability (4 π × 10-7H/m), ω is angular frequency, and σ is magnetic conductivity, rT 1For
The radius of transmitting terminal forward direction coil, rRIt is then receiving end unidirectional coil radius.
When transmission range is less than DmWhen, the efficiency of transmission of WPT/MRC system of double forward direction bridging coils as transmitting coil
WPT/MRC system efficiency of transmission higher than single positive coil as transmitting coil, at this point, use pair forward direction bridging coils as
The transmitting coil of WPT/MRC system realizes the high-efficiency transfer of system for inhibiting frequency splitting；When transmission range is greater than Dm
When, the efficiency of transmission of WPT/MRC system of double forward direction bridging coils as transmitting coil is lower than single positive coil as transmitting
The WPT/MRC system efficiency of transmission of coil, at this point, disconnecting the lesser positive coil of transmitting terminal radius, actionradius is biggish
Transmitting coil of the positive coil as WPT/MRC system keeps the transmission of system high efficiency rate.
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% (10)
When system works in coil resonance frequency, transmission coefficient S21It can simplify as (10) formula:
The transmission coefficient S it can be seen from formula (10)21It is the function about mutual inductance and frequency, so in fixed work frequency
Preferable efficiency curves are obtained under rate, can be realized by changing the parameter of dispatch coil.Therefore, for the excellent of coil
Change design to be very important.
Fig. 4 be the positive bridging coil of Dan Zhengxiang/bis- as transmitting coil radio energy transmission system efficiency of transmission humorous
With the emulation schematic diagram of dispatch coil distance change at vibration frequency.
As shown in figure 4, single positive coil is used alone as transmitting coil, WPT/MRC system is in short range transmission
Radio energy transmission system efficiency of transmission of the efficiency of transmission of system significantly lower than double positive bridging coils as transmitting coil；Far
Apart from when efficiency of transmission be then higher than radio energy transmission system efficiency of transmission of double positive bridging coils as transmitting coil.
Double forward direction bridging coils are as transmitting coil when Fig. 5 is short distance, and single forward direction coil is as emission lines when remote
The radio energy transmission system efficiency of transmission of circle with distance change between dispatch coil emulation schematic diagram.
As shown in figure 5, do not switched over simultaneously using single positive and double positive two kinds of transmitting coils in parallel in transmission range,
It can fully ensure that the high-efficiency transfer of WPT/MRC system.
Efficiently positive wireless power supply system design method in parallel above is summarized, following design procedure can be summarized as:
1, receiving end unidirectional coil size is determined according to charge target, transmitting terminal two positive coils is determined according to power supply
Size；
2, the mutual inductance between the double positive bridging coils of transmitting terminal and receiving end unidirectional coil is found out, that is, (5) are found out, by right
(5) differential obtains (6), finds out the turn ratio between two positive coils, is adjusted to the number of turns of two positive coils, root
Suitable the number of turns is chosen with the planarization of distance change curve according to mutual inductance between double positive bridging coils and unidirectional coil；According to
(8) double positive coils and single positive coil are found out respectively as the switching point of transmitting coil；
3, tunable capacitor is then utilized, dispatch coil is tuned at working frequency used
Invention effect: by theoretical calculation it is found that when short distance, WPT/MRC system use double positive bridging coils as
Transmitting coil can effectively inhibit the generation of frequency splitting phenomenon, and system can be made expeditiously to carry out energy in short distance
Amount transmission；When remote, system efficiency of transmission with higher can be guaranteed by switching single positive coil as transmitting coil.
Claims (4)
1. efficiently positive wireless power supply system design method in parallel, it is characterised in that: it is realized by following steps:
Step 1: WPT/MRC system transmitting terminal is double positive bridging coils, i.e., double positive bridging coils are as transmitting coil；It connects
Receiving end is unidirectional coil, i.e., unidirectional coil is as receiving coil；Double forward direction bridging coils are identical by two direction of windings, and radius is not
Same coil " head is connected, and tail tail is connected " composes in parallel；The small coil of the radius coil inside big embedded in radius, Inside coil
It is connected between external coil by a switch；Receiving coil is unidirectional coil, direction of winding and double positive bridging coils one
It causes；All coils are circular spiral coil；By the double positive bridging coils of transmitting terminal and receiving end unidirectional coil coaxial placement, and
The radius of receiving end unidirectional coil is set as rR, the number of turns nR, two coils half of setting transmitting terminal group positive bridging coil in pairs
Diameter is respectively rT 1And rT 2, wherein rT 1> rT 2；
Step 2: self-induction of loop formula are as follows:
In formula, μ0For space permeability (4 π × 10-7H/m), r is coil radius, and n is coil turn, and a is wire radius；
Mutual inductance formula between two single turn circular coils are as follows:
In formula, r1, r2It is the radius of two single turn circular coils respectively, distance of the d between two single turn circular coils, K (k) and E (k) are respectively
It is the first kind and elliptic integral of the second kind；
The mutual inductance between the double positive bridging coils of transmitting terminal and receiving end unidirectional coil is found out according to Circuit theory:
In formula, nT 1And nT 2It is the number of turns of transmitting terminal two positive coils, n respectivelyRIt is receiving end unidirectional coil the number of turns, rT 1And rT 2
It is the radius of the positive coil of transmitting terminal two respectively, wherein rT 1> rT 2, rRIt is then receiving end unidirectional coil radius, D is transmitting terminal
Two positive the distance between coils and receiving end unidirectional coil central point；LT 1And LT 2It is transmitting terminal two positive coils respectively
Self-induction；M12It is the mutual inductance between transmitting terminal two positive coils；M1(D) and M2It (D) is transmitting terminal two positive coils respectively
Mutual inductance between receiving coil；
Step 3: obtaining formula by seeking differential of the M (D) about D:
It, can be with after the radius for determining transmitting terminal two positive coils according to the structure of double positive bridging coils and unidirectional coil
Find out the turn ratio of two positive coils；
Step 4: the number of turns of two positive coils is adjusted, according to formula:
Determine mutual inductance between the double positive bridging 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；After comprehensively considering, show that two positive coils optimize the number of turns and are respectively
nT 1And nT 2；
In formula, D0For the initial distance between the double positive bridging coils of transmitting terminal and receiving end unidirectional coil, D1Between two coils mutually
Feel the distance being maximized be between two coils；
Reach most Step 5: finding out single positive coil (radius is big) as the WPT/MRC system efficiency of transmission of transmitting coil
Gao Shi, the distance between dispatch coil are as follows:
Wherein a is wire radius, μ0For space permeability (4 π × 10-7H/m), ω is angular frequency, and σ is magnetic conductivity, rT 1For transmitting
Rectify the radius to coil, rRIt is then receiving end unidirectional coil radius；
Step 6: when transmission range is less than DmWhen, use double positive bridging coils as the transmitting coil of WPT/MRC system, is used to
Inhibit frequency splitting, realizes the high-efficiency transfer of system；When transmission range is greater than DmWhen, the lesser positive coil of radius is carried out
Open circuit, transmitting coil of the biggish positive coil of actionradius as WPT/MRC system, keeps the transmission of system high efficiency rate；
Step 7: dispatch coil is tuned at working frequency used respectively using two tunable capacitors, complete efficiently positive in parallel
Wireless power supply system design method.
2. efficient positive wireless power supply system design method in parallel according to claim 1, it is characterised in that receiving end is single
To the radius r of coilRWith the number of turns nREstablished standards according to practical charge target determine；Form the double positive bridging coils of transmitting terminal
Two positive coil radius rT 1And rT 2Established standards according to signal source determine.
3. efficient positive wireless power supply system design method in parallel according to claim 2, it is characterised in that: composition transmitting
Two positive coil turn n of the double positive bridging coils in endT 1And nT 2Setting method be according to the double positive bridging coils of transmitting terminal and
Mutual inductance between the unidirectional coil of receiving end is determined with the planarization of transmission range change curve.
4. efficient positive wireless power supply system design method in parallel according to claim 1, it is characterized in that device includes hair
Ray circle, receiving coil, tunable capacitor C1With tunable capacitor C2, transmitting coil is made of double positive in parallel two coils in the same direction
Coil, receiving coil are the unidirectional coils in the same direction with receiving coil；Coil described above is spiral circular coil；
The signal output end of signal generator and the signal input part of power amplifier connect；The forward direction of the power amplifier is defeated
Terminal and tunable capacitor C out1One end connection；The tunable capacitor C1The other end connect respectively with one end of two positive coils；
Described two positive coils " head is connected, and tail tail is connected "；The other end and power amplifier of the biggish positive coil of the radius
Negative sense output terminal connection；The other end of the lesser positive coil of the radius is connect with one end of switch g；The switch g
The other end and power amplifier negative sense output terminal connect；
The double positive bridging coils of the transmitting terminal and receiving end unidirectional coil confronting coaxial are placed, and between two hub of a spools point
Distance is D, and D is positive number, and one end of the receiving end unidirectional coil and positive input of load connect；The receiving end is single
To the other end and tunable capacitor C of coil2One end connection, the tunable capacitor C2The other end and load negative sense terminal connect
It connects.
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| CN108390701A (en) * | 2018-04-20 | 2018-08-10 | 杭州暖芯迦电子科技有限公司 | A kind of implantation device talk system |
| CN113196611A (en) * | 2018-11-06 | 2021-07-30 | 胡玛沃克斯公司 | Dual function receive/transmit element for wireless charging |
| CN111931299B (en) * | 2020-06-02 | 2024-04-16 | 西安理工大学 | Optimal design method of planar spiral coil in magnetic coupling resonance wireless power transmission application |
| CN115441593B (en) * | 2022-07-20 | 2023-07-14 | 广西电网有限责任公司电力科学研究院 | Double-solenoid type coupling mechanism and parameter design method thereof |
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