CN109698561A - A kind of MCR-WPT system overcoupling area transmissions efficient circuit analysis method - Google Patents
A kind of MCR-WPT system overcoupling area transmissions efficient circuit analysis method Download PDFInfo
- Publication number
- CN109698561A CN109698561A CN201910026114.6A CN201910026114A CN109698561A CN 109698561 A CN109698561 A CN 109698561A CN 201910026114 A CN201910026114 A CN 201910026114A CN 109698561 A CN109698561 A CN 109698561A
- Authority
- CN
- China
- Prior art keywords
- wpt system
- mcr
- overcoupling
- resonance
- analysis method
- 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.)
- Pending
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
- H02J50/12—Circuit arrangements or systems for wireless supply or distribution of electric power using inductive coupling of the resonant type
-
- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/30—Circuit design
- G06F30/39—Circuit design at the physical level
- G06F30/398—Design verification or optimisation, e.g. using design rule check [DRC], layout versus schematics [LVS] or finite element methods [FEM]
Landscapes
- Engineering & Computer Science (AREA)
- Computer Hardware Design (AREA)
- Physics & Mathematics (AREA)
- Theoretical Computer Science (AREA)
- Computer Networks & Wireless Communication (AREA)
- Power Engineering (AREA)
- Evolutionary Computation (AREA)
- Geometry (AREA)
- General Engineering & Computer Science (AREA)
- General Physics & Mathematics (AREA)
- Charge And Discharge Circuits For Batteries Or The Like (AREA)
Abstract
The invention discloses a kind of MCR-WPT system overcoupling area transmissions efficient circuit analysis methods, it is intended to provide a kind of circuit analysis method in order to improve stability of the WCR-WPT system under high-transmission efficiency, its key points of the technical solution are that, establish the equivalent-circuit model of WCR-WPT system, analyze frequency splitting phenomenon, and derive frequency splitting closure equation andWhen achievable efficiency of transmission.Utilize the circuit analysis method, it was demonstrated that equivalent resonant tank in WCR-WPT system overcoupling region can realize high stability energy, provide important references for the design of short distance WPT system.
Description
Technical field
The present invention relates to wireless charging system fields, and in particular to a kind of MCR-WPT system overcoupling area transmissions efficiency
Circuit analysis method.
Background technique
Magnetic coupling techniques are applied from Marin Soljacic seminar, the Massachusetts Institute of Technology in 2007, are realized in electric energy
After the wireless transmission of distance, wireless power transmission technology (WPT) gradually shows from the angle of technology and consumer quite big
Potentiality.Wireless power transmission is broadly divided into electromagnetic radiation formula (EMR), electromagnetic induction manifold type (ICPT) and magnet coupled resonant type
(MCR) several classes such as.Just because of magnet coupled resonant type wireless electric energy transmission system long transmission distance, high-efficient, power is big, potentially
Practical value is high, in recent years by paying close attention to scholars and fan.
WCR-WPT system is to be realized by having the magnetic coupling between two coils of equivalent resonance frequency to electric energy
High efficiency of transmission is coupled as medium-high frequency magnetic field between coil, and resonance frequency becomes the very key parameter of WPT system performance quality,
Wherein frequency splitting is an important phenomenon, it is not only related with efficiency of transmission (TE), also with the WPT energy in overcoupling region
Power is related.Although resonant tank be tuned to identical resonance frequency, when they have close coupling magnetic field when, can be at two
The peak value of transimission power is generated in different frequencies.Since frequency splitting makes the peak value of transimission power far from original resonance frequency
Rate, the efficiency of transmission of WPT system just sharply decline.
Currently, the Chinese patent of Publication No. CN109067009A discloses a kind of MC- based on centre frequency and bandwidth
WPT system meter method, it joins mutual inductance parameter, capacitance parameter and the resistance in MC-WPT system by centre frequency and bandwidth
Number is configured, and can obtain multiband MC-WPT system without increasing any additional lc circuit or coil.
Although it is this based on the MC-WPT system statistical method of centre frequency and bandwidth provide based on centre frequency and bandwidth
MC-WPT design method, by centre frequency and bandwidth in MC-WPT system mutual inductance parameter, capacitance parameter and
Resistance parameter is configured, the MC-WPT system that can be needed without increasing any additional lc circuit or coil, but
It is by using adaptive frequency optimum operation, in overcoupling region, efficiency of transmission be can be uniformly, but not consider to couple
The influence of coefficient can not confirm that equivalent resonant tank can realize high stability energy in WCR-WPT system overcoupling region, be short
It is designed apart from WPT system and important references is provided.
Summary of the invention
The object of the present invention is to provide a kind of MCR-WPT system overcoupling area transmissions efficient circuit analysis method, tools
Have and propose a kind of magnetic coupling WPT system model using equivalent-circuit model (ECM), and derive to set a distance () in it is optimal
The closed form equation of efficiency of transmission；Mathematics card is carried out to the achievable efficiency of transmission of the equivalent resonant tank in overcoupling region
It is bright；Analysis result confirms that equivalent resonant tank can realize high stability energy in WCR-WPT system overcoupling region, is short distance
The advantages of WPT system design provides important references.
Above-mentioned technical purpose of the invention has the technical scheme that
A kind of MCR-WPT system overcoupling area transmissions efficient circuit analysis method, including MCR-WPT system, the MCR-WPT
System includes transmitting terminal and receiving end, and power supply is connected on the transmitting terminal, and the transmitting terminal includes regulating filtering module, high frequency
Inverter module, resonance compensation network and transmitting coil are sequentially connected, the receiving end include receiving coil, resonance compensation network and
Power regulation module is sequentially connected, and passes through L1 and L2 a pair of magnetic resonance between the transmitting terminal and receiving end of the MCR-WPT system
Connection is realized in the high-frequency alternating magnetic field coupling of coil；
The capacitor of described two magnetic resonance coil resonance under identical resonance frequency:；
Following equation is established according to Kirchhoff's second law: (1):；
In formula (1):(2)
By formula (1), electric currentWithIt can obtain: (3)
Entire WPT system can be counted as a two-port network, using formula (3), can calculate equivalent parameters: (4)
In formula (4),,It is a scattering parameter, for analyzing the forward voltage gain of WPT system.
Further setting: high-frequency inversion module is connected after the regulating filtering module output.
By using above-mentioned technical proposal, regulating filtering module is 220V alternating current to be converted to 48V direct current, and carry out phase
The smothing filtering answered, to eliminate the harmonic wave in electric signal.
Further setting: the high-frequency inversion module connects resonance compensation network.
By using above-mentioned technical proposal, high-frequency inversion module is that 48V direct current is transformed into high-frequency alternating current, frequency one
As in 2MHz ~ 10MHz.
Further setting: the resonance compensation network is composed in series by resonant capacitance C1 and transmitting coil L1, described humorous
Compensation network of shaking connects power regulation module.
By using above-mentioned technical proposal, resonance compensation network is composed in series by resonant capacitance C1 and transmitting coil L1,
The high frequency electrical signal of high-frequency inversion module output, the series resonant tank for forming transmitting terminal resonant capacitance C1 and transmitting coil L1
Generate resonance potential and resonance current.The resonance compensation network of receiving coil L2 and resonant capacitance C2 composition receiving end has and sends out
The identical resonance frequency in end is penetrated, so that energy is transferred to receiving end from transmitting terminal by electromagentic resonance.
In conclusion the invention has the following advantages: proposing a kind of magnetic coupling using equivalent-circuit model (ECM)
WPT system model, and derive to set a distance () in optimum transmission efficiency closed form equation.To in overcoupling region
The achievable efficiency of transmission of equivalent resonant tank carries out mathematical proof.Analysis result confirms equivalent resonant tank in WCR-WPT
System overcoupling region can realize high stability energy, provide important references for the design of short distance WPT system.
Detailed description of the invention
The following further describes the present invention with reference to the drawings.
Fig. 1 is: the attachment structure schematic diagram of MCR-WPT system model；
Fig. 2 is: the simple circuit structure schematic diagram of MCR-WPT system model；
Fig. 3 is: according to circuit circuit model reduced parameter table in table 1.
Specific embodiment
The following further describes the specific embodiments of the present invention with reference to the drawings.
The technical scheme adopted by the invention is that:
A kind of MCR-WPT system overcoupling area transmissions efficient circuit analysis method, the transmitting terminal of MCR-WPT system and receiving end
Between be that connection is realized in the high-frequency alternating magnetic field coupling of this pair of of magnetic resonance coil by L1, L2.Coil radius, the number of turns, coiling
Spacing is respectively, wherein subscript, 1 indicates transmitting coil, and 2 indicate receiving coil.In addition, in two coils
The heart is consistent, and D is the distance between two coils.Transmitting terminal connects voltage source, receiving end is connected to load resistance。
Alternating-current voltage sourceWith angle resonance frequency.Wherein、Respectively transmitting coil and receiving coil
Equivalent loss resistance；WithIt is the self-inductance of transmitting coil and receiving coil respectively；For alternating-current voltage source internal resistance；、
Make the capacitor of the two coils resonance under identical resonance frequency,；M is transmitting
Mutual induction amount between coil and receiving coil.
In the receiving end, alternating currentIt is by voltage sourceIt generates.ByThe magnetic field coupling of generation is induced to receiving end
Generate another alternating current.Two magnetic-coupled tightness degrees of coil are by the coefficient of coupIt indicates.Then, according to
Kirchhoff's second law establishes following equation:
(1)
In formula (1):
(2)
By formula (1), electric currentWithIt can obtain:
(3)
Entire WPT system can be counted as a two-port network, using formula (3), can calculate equivalent parameters:
(4)
In formula (4),,It is a scattering parameter, for analyzing the forward voltage gain of WPT system.
It is the output voltage of load resistanceWith the input voltage of source resistanceRatio.
Fig. 1, Fig. 2 give the simplification circuit parameter of model, and Fig. 3 willLetter of the amplitude as frequency f and coefficient of coup k
Number, with the increase of k value, frequency splitting is become apparent from.When the coupling between coil reduces, frequency separation can also subtract
It is small, until both of which gathers resonance frequency.This point is referred to as Critical Coupling point, indicate that maximum power and effect can be achieved
The maximum distance of rate.WhenWhen, system is considered as overcoupling.On the contrary, working asWhen, system is undercoupling, defeated
The energy for giving load starts sharply to decline.
For being consistent property, the power transmission linear amplitude scattering parameter of WPT systemIt indicates, because it can
To be measured with vector network analyzer (VNA), to verify its correctness.By formula (4) it is found thatValue can indicate to pass
It is defeated by the ratio of the electric energy of load resistance and the electric energy of power delivery, therefore is utilizedTo show the performance of power transmission.
(5)
Wherein,Mean efficiency of transmission relevant to ratio, wherein available power does not include the power damage of the internal resistance of source
Consumption.When in resonance angular frequencyWhen,WithReactance will be eliminated.Assuming that the internal resistance of source is identical as load resistance, i.e.,, formula (5) can simplify are as follows:
(6)
In the given coefficient of coup(correspondingly it is to set a distance) under, it is right based on formula (6)Derivation is carried out, by, can get the load resistor value under optimum power utilization rate.
(7)
It willIt brings formula (5) into and carries out Mathematical treatment, then efficiency of transmission can indicate are as follows:
(8)
Wherein,,,,,。
In the coefficient of coupImpedance matching condition under,For optimum transport efficiency.When withValue increases above
When, the Frequency point of impedance matching can be twisted.Therefore, the frequency of maximum transmitted efficiency is divided into both of which, and one kind is higher than, separately
One kind being lower than original resonance frequency.This will lead to coil no longer resonant operational, even if circuit is close-coupled, efficiency of transmission
It will reduce.For the high-transmission efficiency for ensuring overcoupling region, whenWhen should determine obtain maximum transmitted efficiency when most
Excellent frequency.To seek optimal frequency, it is assumed thatWith, it is considered reasonable near resonance frequency.Pass through
Formula (8) is rightDerivation, can be by formulaAcquire odd even division frequency:
(9)
In formulaIs defined as:
(10)
Formula (10) needs to meet。
It is tracked by optimal frequency, the approximate maximized efficiency of transmission in overcoupling region can be acquiredIt is as follows:
(11)
Wherein,,。
If transmitting coil and receiving coil equivalent matched, corresponding parameter can simplify are as follows:With,
It can thus be concluded that, therefore formula (11) can be reduced to
(12)
Therefore, it may be concluded that if two wire loops have identical structure, the efficiency of transmission in overcoupling region
Not byInfluence.That is, working asWhen, efficiency of transmission is a constant value unrelated with the coefficient of coup.
According in formula (11), when using non-fully equivalent resonant tank, whenWhen,It is one and coupling
Collaboration numberkRelevant decreasing function, i.e., withValue increases,Value decline.
It can be designed for the loop coil of WPT system and effective reference is provided.If desired overcoupling region (namely compared with
Short transmission range) realize high stable efficiency of transmission, design have mutually isostructural wire loop be particularly important.This
Outside, as shown in theorem 1, because,, so that withIncreaseIt is incremental.This show if
It is biggishMiddle impedance matching, then can keep higher efficiency of transmission.Therefore, if it is desired to be obtained more in shorter distance
High efficiency of transmission, then biggishMiddle progress impedance matching is easier to realization demand.
The above are preferred embodiments of the present invention, is not intended to limit the present invention in any form, all foundations
Technical spirit of the invention any simple modification, equivalent change and modification made to the above embodiment, belong to inventive technique
In the range of scheme.
Claims (4)
1. a kind of MCR-WPT system overcoupling area transmissions efficient circuit analysis method, including MCR-WPT system, the MCR-
WPT system includes transmitting terminal and receiving end, is connected with power supply on the transmitting terminal, the transmitting terminal include regulating filtering module,
High-frequency inversion module, resonance compensation network and transmitting coil are sequentially connected, and the receiving end includes receiving coil, resonance compensation net
Network and power regulation module are sequentially connected, it is characterised in that: pass through L1 between the transmitting terminal and receiving end of the MCR-WPT system
And connection is realized in the high-frequency alternating magnetic field coupling of L2 a pair of magnetic resonance coil；
The capacitor of described two magnetic resonance coil resonance under identical resonance frequency:
；Following equation is established according to Kirchhoff's second law: (1):；
In formula (1):(2)
By formula (1), electric currentWithIt can obtain: (3)
Entire WPT system can be counted as a two-port network, using formula (3), can calculate equivalent parameters: (4)
In formula (4),,It is a scattering parameter, for analyzing the forward voltage gain of WPT system.
2. a kind of MCR-WPT system overcoupling area transmissions efficient circuit analysis method according to claim 1, feature
It is: connects high-frequency inversion module after the regulating filtering module output.
3. a kind of MCR-WPT system overcoupling area transmissions efficient circuit analysis method according to claim 2, feature
Be: the high-frequency inversion module connects resonance compensation network.
4. a kind of MCR-WPT system overcoupling area transmissions efficient circuit analysis method according to claim 3, feature
Be: the resonance compensation network is composed in series by resonant capacitance C1 and transmitting coil L1, the resonance compensation network connection
Power regulation module.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201910026114.6A CN109698561A (en) | 2019-01-11 | 2019-01-11 | A kind of MCR-WPT system overcoupling area transmissions efficient circuit analysis method |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201910026114.6A CN109698561A (en) | 2019-01-11 | 2019-01-11 | A kind of MCR-WPT system overcoupling area transmissions efficient circuit analysis method |
Publications (1)
| Publication Number | Publication Date |
|---|---|
| CN109698561A true CN109698561A (en) | 2019-04-30 |
Family
ID=66233241
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201910026114.6A Pending CN109698561A (en) | 2019-01-11 | 2019-01-11 | A kind of MCR-WPT system overcoupling area transmissions efficient circuit analysis method |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN109698561A (en) |
Cited By (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN110530253A (en) * | 2019-08-30 | 2019-12-03 | 西安电子科技大学 | Optimum design method for resistance-type wireless and passive strain transducer measuring circuit |
| CN111030316A (en) * | 2019-12-25 | 2020-04-17 | 国网福建省电力有限公司龙岩供电公司 | Modeling and analyzing method for efficiency of multi-relay MC-WPT system and system principle analyzing method |
| CN111028496A (en) * | 2019-12-10 | 2020-04-17 | 东南大学 | Remote LC passive wireless sensing system with automatic matching working frequency |
| CN111413570A (en) * | 2020-04-26 | 2020-07-14 | 中铁电气化局集团有限公司 | Method and device for detecting mutual inductance parameter of coupling loop of wireless power transmission system |
| CN111931299A (en) * | 2020-06-02 | 2020-11-13 | 西安理工大学 | Optimal design method of planar spiral coil in magnetic coupling resonance wireless power transmission application |
| WO2021008203A1 (en) * | 2019-07-12 | 2021-01-21 | 江南大学 | Optimization method for impedance matching network of wireless power transfer system under maximum efficiency tracking |
| CN113054759A (en) * | 2021-03-31 | 2021-06-29 | 维沃移动通信有限公司 | Wireless power receiving device, wireless charging system and electronic equipment |
Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| WO2010091202A1 (en) * | 2009-02-04 | 2010-08-12 | Graham David S | Wireless power transfer with lighting |
| CN107015175A (en) * | 2017-02-23 | 2017-08-04 | 电子科技大学 | Coefficient of coup detection circuit and method between a kind of magnetic coupling inductance coil |
| CN108169576A (en) * | 2018-01-17 | 2018-06-15 | 西安交通大学 | A kind of dynamic mutual inductance detection method of mobile wireless electric energy Transmission system |
| US20180375382A1 (en) * | 2014-06-02 | 2018-12-27 | Purdue Research Foundation | Magnetic resonance coupling arrangement |
-
2019
- 2019-01-11 CN CN201910026114.6A patent/CN109698561A/en active Pending
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| WO2010091202A1 (en) * | 2009-02-04 | 2010-08-12 | Graham David S | Wireless power transfer with lighting |
| US20180375382A1 (en) * | 2014-06-02 | 2018-12-27 | Purdue Research Foundation | Magnetic resonance coupling arrangement |
| CN107015175A (en) * | 2017-02-23 | 2017-08-04 | 电子科技大学 | Coefficient of coup detection circuit and method between a kind of magnetic coupling inductance coil |
| CN108169576A (en) * | 2018-01-17 | 2018-06-15 | 西安交通大学 | A kind of dynamic mutual inductance detection method of mobile wireless electric energy Transmission system |
Non-Patent Citations (5)
| Title |
|---|
| RUNHONG HUANG: "FREQUENCY SPLITTING PHENOMENA OF MAGNETIC RESONANT COUPLING WIRELESS POWER TRANSFER", 《IEEE TRANSACTIONS ON MAGNETICS》 * |
| S.Y.R.HUI: "A CRITICAL REVIEW OF RECENT PROGRESS IN MID-RANGE WIRELESS POWER TRANSFER", 《IEEE TRANSACTIONS ON POWER ELECTRONICS》 * |
| YIMING ZHANG: "FREQUENCY SPLITTING ANALYSIS OF TWO-COIL RESONANT WIRELESS POWER TRANSFER", 《IEEE ANTENNAS AND WIRELESS PROPAGATION LETTERS》 * |
| 张胡元: "磁谐振无线电能传输串并式模型频率分裂研究", 《兰州交通大学学报》 * |
| 黄学良: "磁耦合谐振式无线电能传输系统串并式模型研究", 《电工技术学报》 * |
Cited By (11)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| WO2021008203A1 (en) * | 2019-07-12 | 2021-01-21 | 江南大学 | Optimization method for impedance matching network of wireless power transfer system under maximum efficiency tracking |
| US11101700B1 (en) | 2019-07-12 | 2021-08-24 | Jiangnan University | Impedance matching network optimization method for wireless power transfer system under maximum efficiency tracking |
| CN110530253A (en) * | 2019-08-30 | 2019-12-03 | 西安电子科技大学 | Optimum design method for resistance-type wireless and passive strain transducer measuring circuit |
| CN111028496A (en) * | 2019-12-10 | 2020-04-17 | 东南大学 | Remote LC passive wireless sensing system with automatic matching working frequency |
| CN111030316A (en) * | 2019-12-25 | 2020-04-17 | 国网福建省电力有限公司龙岩供电公司 | Modeling and analyzing method for efficiency of multi-relay MC-WPT system and system principle analyzing method |
| CN111030316B (en) * | 2019-12-25 | 2023-09-19 | 国网福建省电力有限公司龙岩供电公司 | Modeling, analysis and system principle analysis method for efficiency of multi-relay MC-WPT system |
| CN111413570A (en) * | 2020-04-26 | 2020-07-14 | 中铁电气化局集团有限公司 | Method and device for detecting mutual inductance parameter of coupling loop of wireless power transmission system |
| CN111413570B (en) * | 2020-04-26 | 2022-07-08 | 中铁电气化局集团有限公司 | Method and device for detecting mutual inductance parameter of coupling loop of wireless power transmission system |
| CN111931299A (en) * | 2020-06-02 | 2020-11-13 | 西安理工大学 | Optimal design method of planar spiral coil in magnetic coupling resonance wireless power transmission application |
| 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 |
| CN113054759A (en) * | 2021-03-31 | 2021-06-29 | 维沃移动通信有限公司 | Wireless power receiving device, wireless charging system and electronic equipment |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN109698561A (en) | A kind of MCR-WPT system overcoupling area transmissions efficient circuit analysis method | |
| CN111898289B (en) | LCC-S topological parameter design method for remote wireless charging | |
| CN104993614A (en) | Asymmetric wireless power transmission system with relay coil inserted therein, and method | |
| Mastri et al. | Gain expressions for resonant inductive wireless power transfer links with one relay element | |
| Bodrov et al. | Analysis of wireless power transfer by coupled mode theory (CMT) and practical considerations to increase power transfer efficiency | |
| CN108879986A (en) | Single relay wireless electric energy transmission system parameters design method | |
| Yinliang et al. | Design of coil structure achieving uniform magnetic field distribution for wireless charging platform | |
| CN204721105U (en) | Insert the asymmetric wireless power transmission systems of repeating coil | |
| Dionigi et al. | Network methods for analysis and design of resonant wireless power transfer systems | |
| CN107482797A (en) | Loop coil electromagnetic radiation Forecasting Methodology based on resonance type wireless power transmission | |
| CN110611375A (en) | Multi-frequency multi-load wireless power supply system based on PT (potential Transformer) symmetry principle | |
| CN106202690B (en) | A kind of design method reducing wireless charging system electric stress | |
| Li et al. | Maximizing transfer distance for WPT via coupled magnetic resonances by coupling coils design and optimization | |
| Murakami et al. | Effects of Q factor on wireless power transmission by magnetic resonant coupling | |
| CN210608710U (en) | Multi-frequency multi-load wireless power supply system based on PT (potential Transformer) symmetry principle | |
| CN104297706A (en) | Magnetic field generation device based on resonance and design method thereof | |
| CN108155729B (en) | Intrinsic angular frequency control magnetic resonance SS type wireless power transmission system | |
| CN109193964A (en) | A kind of radio energy high-efficiency transmission method based on PCB coil | |
| CN108682544A (en) | Wireless charging system transmitting coil optimum design method | |
| Song et al. | Design and analysis of a wireless power transmission system with magnetic coupling resonance in the weak-coupling region | |
| CN108199497B (en) | Wireless power transmission system based on transmission line | |
| Ding et al. | A novel dual-band scheme for magnetic resonant wireless power transfer | |
| CN110165791A (en) | The insensitive radio energy transmission system resonance frequency design method of frequency drift | |
| Lee et al. | Effect of misaligned relay on output power and efficiency in wireless power transfer | |
| Bekiroglu et al. | Validation of wireless power transfer by using 3d representation of magnetically coupled resonators considering peak efficiency |
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 | ||
| RJ01 | Rejection of invention patent application after publication | ||
| RJ01 | Rejection of invention patent application after publication |
Application publication date: 20190430 |